Z32

This page lists questions and answers that were posted by visitors named Z32.

Questions

The following questions were asked by visitors named Z32.

Let f be the function defined by f(x)=2x+11-3e^x If the equation of the tangent line to the graph of f at the point (0,8) is given by y=mx+b then: m=? and b=?

If f(x)=4-coshx/3+coshx, f'(x)=?

If f(x)=6arcsin(x^3) find f'(x)

f(t)=5^x sechx f'(x)=?

Find the point on the line -5sx+y+3=0 which is the closest to the point (2, 5) (___,___)

A rancher wants to fence in an area of 5189400 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 370 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 5 dollar increase in rent. S...

A fence 5 feet tall runs parallel to a tall building at a distance of 7 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? [Hint: Determine the length of a ladder t...

f"(x)=5x+3 and f'(-2)=-3 and f(2)=-5 Find f'(x) and find f(2).

Evaluate the definite integral The S thingy has 1 at the bottom and 9 at the top. 4x^2+5 divided by the sqrt of x.

Evaluate the integral. -2 at the bottom of the integral sign and 7 at the top. f(x)dx f(x)={x if x<1 and 1/x if x> or equal to 1 I'm not sure how you would apply these two concepts together?

Using the first of these limits, find f'(3) if f(x)=4x^2+4x-2

If the equation of the tangent line to the curve y=9cosx at the point on the curve with x-coordinate 3pi/4 is written in the form y=mx+b then m=? and b=?

Given that f(x)=x^6h(x) h(-1)=3 h'(-1)=6 Calculate f'(-1).

Find the Derivative of (7x^2-6)^8(-4x^2-3)^9

Find the derivative of cos(sqrt(e^(x^3)cos(x)) I got -sin(sqrt(e^(x^3)cos(x))*((sqrt(e^(x^3)cos(x)) Do I just leave the e^(x^3)cosx alone since it's "e" or do I still have the find the derivative for it?

BCC crystal structure, atomic radius of .1363, and an atomic weight of 95.94g/mol. How would you compute the theoretical density?

Prompt the user for the inner and outer diameter and thickness of the washer to be entered in cm. Then prompt for the material density in grams per cubic cm (g/cm^3) and the number of washers in the batch. Finally, print out the expected weight in kg. Mak...

I wanted to know how you would know that -4x^2 + 2x +90 / x-5 would be able to factor down to (x-5)(-4x-18)/x-5 By looking at -4x^2 + 2x +90 / x-5 , I would never think that it could be factored down to (x-5)(-4x-18)/x-5 How should I approach it so I know...

Evaluate y' at (2,1) [Implicit differentiation] 5xy-3x-4=0 I got 3/10 and 2/10 but both were wrong.

[Implicit Differentiation] (6+y)^3 + 4y = x + 55 with y' at (1, -2) y' at (1,-2) =? I got this far but I'm not sure if I'm doing it right: 3(6+y)^2(1dy/dx)+4dy/dx=1

[Implicit Differentiation] (5x-y)^4 + 2y^3 = 258 evaluate y' at the point (1,1)

The task is to create a c source code program that will name a quadrant when a given coordinate is given. Example: Input Coordinate Pair: 0 5.3 Positive y Axis I just need help on how to start this. I know I have to use if else statements but I'm not sure...

If xy=4 and dy/dy=3 then find dx/dt when x=4?

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm.

Air is being pumped into a spherical balloon so that its volume increases at a rate of 30 cubic centimeters per second. How fast is the surface area of the balloon increasing when its radius is 19 cm? V= 4/3*pi*r^3 S= 4 pi r^2

At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 24 knots. How fast (in knots) is the distance between the ships changing at 3 PM? This is what I got but it's not right 28.727

Water is being pumped into an inverted conical tank at a constant rate. The tank has height 9 meters and the diameter at the top is 4 meters. If the water level is rising at a rate of 28 centimeters per minute when the height of the water is 3.5 meters, f...

[Linear Approximations and Differentials] I tripled checked my work but I'm still not getting the correct answer. y=3x^2 x=3 & delta x =0.2 I get 3(3.2)^2 - 3(3) = 21.72

Find the linearization of f(x)= sqrtx at x=25 and use the linearization to approximate sqrt25.2 This is my math: 5+ 1/10 * (25.2-25) but it's wrong.

Use linear approximation, i.e. the tangent line, to approximate (the 3 is inside the v part if you know what I mean, it's not 3 times sqrt) 3√125.2 as follows: Let f(x) = 3√x. The equation of the tangent line to f(x) at x=125 can be written in the form y=...

Evaluate the following limits. lim as x approaches infinity 6/e^x + 7=____? lim as x approaches negative infinity 6/e^x+7=____?

The expression e^x / e^(4+x) can be written as e^f(x), where f(x) is a function of x, find f(x)?

The limit below represents the derivative of some function f at some number a. State such an f and a. lim x-->2 2^x-4/x-2 f(x)=_______ a=_______

[Exponential growth & decay] The half-life of radioactive strontium-90 is approximately 29 years. In 1965, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years do...

The population of a region is growing exponentially. There were 40 million people in 1980 (when t=0) and 50 million people in 1990. Find an exponential model for the population (in millions of people) at any time t, in years after 1980. P(t)= Predicted po...

Using mechanics of materials principles (ie. equations of mechanical equilibrium applied to a free-body diagram), derive the following equations. sigma' = sigma cos^2 θ = sigma(1+cos 2θ / 2) and tau = sigma sin θ cos θ = sigma( sin2θ / 2)

Find the derivative of tanh(e^t)

A 25 foot ladder is leaning on a 9 foot fence. The base of the ladder is being pulled away from the fence at the rate of 10 feet/minute. How fast is the top of the ladder approaching the ground when the base is 9 from the fence? [Note: The ladder is protr...

Find the derivative of 1/8tan^(-1)(x/8) & (x/2)(sqrt(64-x^2) + 32sin^(-1)(x/8)?

What is the derivative of f(x)=5^x log6(x)?

Can someone break this down for me step by step? I'm reviewing for a midterm and got stuck on this problem. 5xy - 3x - 4 = 0 y' at (2,1) I'm not sure where the 5 goes when you apply the product rule to the xy.

What is the absolute max and absolute min of 3+13 |t-8| for -1 <= t <= 11? The absolute max of this function is ______ and occurs at ? The absolute min of this function is______ and occurs at?

What's the derivative of (x-1)(x-7)^3+10?

What is the x coordinate of the absolute minimum of 6x + [12/x] when x > 0?

[Mean Value Theorem] f(x)=-3x^3 - 4x^2 - 2x -3 on the closed interval [0,8]. Find the smallest value of c that satisfies the conclusion of the Mean Value Theorem for this function defined on the given interval. I got 8 - sqrt(5696) / -18 = 3.748436059 but...

Help me simplify this down some more so I can set it to zero and find my critical points. f(x) = x^3 (x+2)^6 f'(x) = x^3 * 6(x+2)^5 + 3x^2 * (x+2)^6

Find the inflection points for f(x) = 12x^5 + 45x^4 - 360x^3 + 7

What are the critical points of f(x)= e^x / 3+e^x?

F(x) = x^3 / (x-16) is concave up and down on what intervals? I got the derivative to be f' = (x^4 - 48) / (x^2-16)^2 and I found the local min and max but now I need to find where it concaves up and down.

What is the antiderivative of f(x)= 2x^8 + 10x^5 - 8x^4 - 4? I got (2/9)^9 + (10/6)^6 - (8/5)^5 - 4x but it's not right.

f(x) = [3/x^2] - [5/x^7], F(x) is the antiderivative of f(x) with F(1)=0. F(x) = ? I have no idea how to approach this problem. The fractions are scaring me.

Estimate the area under the graph of f(x) = 2x^3 + 3 from x= -1 to x=5, first using 6 approximating rectangle and right endpoints, and then improving your estimate using 12 approximating rectangles and right endpoints. When using the left and right endpoi...

Evaluate the integral by interpreting it in terms of areas as 0 goes to 12 |2x - 7|dx? This is my work so far: 2x-7=0 x=7/2 slope = 2; y-int = (0, -7) Area of a triangle is 1/2BH.

3 ⌠ 2⌡ (2x^2+5) / x^2 dx =? I got 1.66 but it was wrong.

[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?

f(x) = 6e^(-5x) ln(x), find f'(3)?

Evaluate the indefinite integral: x^2 / (3-4x^3)^6 I got -1/(60(4x^3-3))^5 but it's not right.

The velocity v(t)= -t^2 + 6t - 8, find the displacement and distance traveled during the time interval [-1,5]?

What's the derivative of x^2(1- x/6)?

Suppose that f(x) = (5x + -2)^(1/2) Find an equation for the tangent line to the graph of f(x) at x=1. Tangent line: y=?

Determine the y-coordinate of the critical point for the function where 0<x<5? I got the derivative which is -1/x^2 + 1/(5-x)^2 but I don't know how to get the answer. The answer is y=4/5 but I was wondering how do you get that?

Does Bonnie Steinbock think committing adultery is okay or not okay?

One cubic meter (1.00 m^3) of aluminum has a mass of 2.70 multiplied by 10^3 kg, and the same volume of iron has a mass of 7.86 multiplied by 10^3 kg. Find the radius of a solid aluminum sphere that will balance a solid iron sphere of radius 1.40 cm on an...

A crow flies in two successive displacements to a point that is 80 m to the west. Its first displacement is 80 m in a direction θ = 50° west of north. What is the magnitude of its second displacement? What is its direction as measured by the angle θ measu...

Evaluate the integral from 2/sqrt2 to 4; 1/(t^3 sqrt(t^2-4))?

(Vectors) If |A x B| = 6.45AB, what is the angle between A and B?

Solve for t. -45.0 m = (8.636 m/s)t + ½(-9.80 m/s^2)t^2 ?

A freezer has a coefficient of performance of 6.30. It is advertised as using 486 kWh/yr. Note: One kilowatt-hour (kWh) is an amount of energy equal to running a 1-kW appliance for one hour. a) On average, how much energy does it use in a single day? I go...

How much energy does it extract from the outside air with coefficient of performance 3.85? A heat pump has a coefficient of performance of 3.85 and operates with a power consumption of 6.91 x 10^3 W. The first part of the question asked How much energy do...

Determine whether the lines intersect(have a common point) and if so, find the coordinates of that point? r(t) = < 4t+3, 4t + 2, 6t + 6>, for -infinity < t < infinity R(s) = < s + 2, 3s - 1, -4s + 10>, for -infinity < t < infinity And if r and R describe...

Consider the parabola r(t)=<t-t^2>, does the principal unit normal vector point in the + or - y-direction along the curve?

Find the domain of the following function h(x,y) = sqrt(x-9y+5)?

Compute the average value of following fuction over the region R? f(x,y)= sinxsiny R= { (x,y): 0 ≤ x ≤pi, 0 ≤ y ≤pi}

Express the region inside the leaf of the rose r=2sin2? in the first quadrant as an iterated integral over R?

Answers

The following answers were posted by visitors named Z32.

I just need help finding the derivative of f(x). The 3e^x is tripping me out.

Got it. Thanks!

18 x^2/sqrt(1-x^6)

Ok, so I got the first part done. I got 5/2 x^2 +3x -7 Now I'm stuck on the f(2)= part. I've gotten 5/6 x^3 +3/2 x^2 -7x + C But what do I do from there?

Thanks for the help!

I'm lost how how they provide h(-1)=3 and h'(-1)=6 Would x=-1 and the h be 3, and h' be 6 in 6x^5 * h + h'*x^6 ? Or would the h be -1 and the h' be -1 and then I put the 3 and 6 outside the equation like 6x^5 * h + h'*x^6 =3+6?

x would be 3pi/4 correct? What would 3pi/4 equal approximately? I tried to do -9 * sin * 3pi/4 but I'm not getting the correct answer.

Thanks. I got it after 50+ tries. lol Answer was: -sinsqrt(e^[(x^3)cos(x)])*(1/(2sqrt(e^[(x^3)cos(x)])))*e^((x^3)cos(x))*[-x^3sin(x)+3x^2cos(x)]

I am not exactly sure what directives I should use. I have the stdio.h and have defined pi. Also I am not sure of the correct terms to float such as the inner and outer diameter and the thickness.

Multiply x+y by itself and see if you get x^2 + y^2

What are we looking for?

By both, I mean I got my answer to be 3/10 and 2/10 but they weren't correct. I tried -1/10 and it was wrong.

(x+y)^2 = x^2 + 2xy + y^2 This is what I got too.

The answer is -2/10.

Thanks. Correct.

Oh my bad. I meant dy/dt. I understand now. Thanks!

Hmm. I tried that and it wasn't correct.

Thanks for the input. I finally got it. Yeah!

Got it down to 3.157 which is correct. Thanks!

Not right for some reason.

Ahh, there we go. Can't believe such a little number could cause it to be wrong. Thanks.

Hmm. Stupid online hw wants it perfectly I guess. Thanks though.

What the heck? haha. I was going crazy could I could've swore I did my calculations right. Oh well, thanks for the help man. I appreciate it.

Oh I'm missing the last ^2 at the end. Thanks!

I typed in 5.01999999999 and it took it. Weird.

So, m and b are?

Nevermind, got it.

I tried that answer but it wasn't right. I tried sqrt 2 and it was right.

I redid my math and I think I did my calculations wrong. I got 8 +- sqrt(8000)/ -18 but it's still wrong.

Nevermind, I had an error in my calculations. It was sqrt(8128). I got the answer.

I got 0 for one of my inflections since a 0 in the place of the "x"(4x^2 + 9x - 36) would make it zero. But I'm not sure what would need to go into the other x's to make it 0. I tried 4/9 9/36 and 36/9 but I couldn't get it.

Oh, okay. I found out I had to use the quadratic formula. Thanks for the help!

Oh dang. That's what I forgot. The x's. I put in the x's and the answer was correct. Thanks!

I added the two areas up and got 84.5 which is the correct. Thanks!

One quick question, for the "area=1/2 b H= 1/2 (12-3.5)(24-7)", how did you get the 24?

That's supposed to be an integral sign.

The parenthesis are in the wrong spot? I still can't figure it out.

Oh, okay. I got it.

Would it be sqrt( (51.2)^2 + (18.7)^2 )?

Nevermind. You gotta use the quadratic formula.

I got lost when you got to: = Qout - Qout/3.85 = 0.7403 Qout What did you exactly do? I'm not seeing where those two Qout's came from and how you got the .7403.

yeah I forgot to type in the theta