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Questions (100)

1. The problem statement, all variables and given/known dataI am using a Vishay strain indicator with it hooked up to a strain
1. 0 answers
2. 1,086 views
Express the region inside the leaf of the rose r=2sin2? in the first quadrant as an iterated integral over R?
1. 2 answers
2. 534 views
Compute the average value of following fuction over the region R?f(x,y)= sinxsiny R= { (x,y): 0 ≤ x ≤pi, 0 ≤ y ≤pi}
1. 1 answer
2. 411 views
A projectile is launched at an angle of 60 degrees to the horizontal from 6.5 ft above the ground at an initial speed of
1. 0 answers
2. 853 views
Find the domain of the following function h(x,y) = sqrt(x-9y+5)?
1. 1 answer
2. 3,111 views
Can two level curves of a function intersect; explain?
1. 0 answers
2. 518 views
An electric power plant that would make use of the temperature gradient in the ocean has been proposed. The system is to operate
1. 0 answers
2. 694 views
Consider the parabola r(t)=<t-t^2>, does the principal unit normal vector point in the + or - y-direction along the curve?
1. 1 answer
2. 477 views
What does the arc length formula give for the length of the line r(t)=<t,t,t> for 0 ≤ t ≤ 1?
1. 0 answers
2. 348 views
Determine whether the lines intersect(have a common point) and if so, find the coordinates of that point?r(t) = < 4t+3, 4t + 2,
1. 1 answer
2. 2,319 views
How much energy does it extract from the outside air with coefficient of performance 3.85?A heat pump has a coefficient of
1. 2 answers
2. 1,750 views
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
1. 2 answers
2. 3,022 views
If the stone strikes the ground 65 m away, find the time of flight and initial speed?Vxi = 17.7 m/s Vyi = 8.636 m/s xi = yi = 0,
1. 0 answers
2. 544 views
Solve for t. -45.0 m = (8.636 m/s)t + ½(-9.80 m/s^2)t^2 ?
1. 1 answer
2. 397 views
(Vectors) If |A x B| = 6.45AB, what is the angle between A and B?
1. 1 answer
2. 380 views
Evaluate the integral from 2/sqrt2 to 4; 1/(t^3 sqrt(t^2-4))?
1. 1 answer
2. 423 views
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
1. 3 answers
2. 1,059 views
Junes Verne in 1865 suggested sending people to the Moon by firing a space capsule from a 195 m long cannon with a launch speed
1. 1 answer
2. 612 views
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
1. 1 answer
2. 3,397 views
Does Bonnie Steinbock think committing adultery is okay or not okay?
1. 1 answer
2. 404 views
Estimate the area under the graph f(x)=3x^3 + 5 from x=-1 to x=5 using 12 mid points?I got the right answer for using 6 mid
1. 0 answers
2. 530 views
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
1. 1 answer
2. 508 views
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=?
1. 1 answer
2. 510 views
What's the derivative of x^2(1- x/6)?
1. 1 answer
2. 370 views
Reflecting the graph calculus problem f(x) = 5^x?reflecting the graph about the x-axis and the y-axis: y=___________ reflecting
1. 0 answers
2. 589 views
The velocity v(t)= -t^2 + 6t - 8, find the displacement and distance traveled during the time interval [-1,5]?
1. 1 answer
2. 3,335 views
Evaluate the indefinite integral:x^2 / (3-4x^3)^6 I got -1/(60(4x^3-3))^5 but it's not right.
1. 3 answers
2. 444 views
Find the concavity and min and max for f(x) = x*sqrt(x^2+36) defined on the interval [-4, 7]?
1. 0 answers
2. 473 views
f(x) = 6e^(-5x) ln(x), find f'(3)?
1. 1 answer
2. 481 views
[Integrals]h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?
1. 5 answers
2. 738 views
3⌠ 2⌡ (2x^2+5) / x^2 dx =? I got 1.66 but it was wrong.
1. 2 answers
2. 459 views
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
1. 3 answers
2. 863 views
Find an overestimate and underestimate that the bug crawls during an hour v= 1 / [2+t]?For time, t, in hours, 0 <= t <= 1, a bug
1. 0 answers
2. 634 views
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
1. 1 answer
2. 870 views
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.
1. 1 answer
2. 561 views
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.
1. 4 answers
2. 374 views
A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides is to be made of material
1. 0 answers
2. 845 views
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
1. 1 answer
2. 456 views
What are the critical points of f(x)= e^x / 3+e^x?
1. 1 answer
2. 478 views
Find the inflection points for f(x) = 12x^5 + 45x^4 - 360x^3 + 7
1. 3 answers
2. 1,544 views
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 *
1. 2 answers
2. 374 views
[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
1. 2 answers
2. 899 views
What is the x coordinate of the absolute minimum of 6x + [12/x] when x > 0?
1. 2 answers
2. 432 views
What's the derivative of (x-1)(x-7)^3+10?
1. 1 answer
2. 331 views
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
1. 1 answer
2. 442 views
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'
1. 1 answer
2. 431 views
What is the derivative of f(x)=5^x log6(x)?
1. 2 answers
2. 929 views
Find the derivative of 1/8tan^(-1)(x/8) & (x/2)(sqrt(64-x^2) + 32sin^(-1)(x/8)?
1. 1 answer
2. 438 views
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.03 cm thick to a
1. 0 answers
2. 626 views
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
1. 3 answers
2. 1,008 views
Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between
1. 0 answers
2. 987 views
Find the derivative of f(x)=x^2sinh^(-1)(3x)?
1. 0 answers
2. 378 views
Find the derivative of tanh(e^t)
1. 1 answer
2. 474 views
Using mechanics of materials principles (ie. equations of mechanical equilibrium applied to a free-body diagram), derive the
1. 1 answer
2. 1,528 views
[Inverse Functions]f(x)= 5cos(x)sin^(-1)(x) f'(x)=?
1. 0 answers
2. 874 views
The population of a region is growing exponentially. There were 40 million people in 1980 (when t=0) and 50 million people in
1. 2 answers
2. 9,608 views
[Exponential growth & decay]The half-life of radioactive strontium-90 is approximately 29 years. In 1965, radioactive
1. 1 answer
2. 4,676 views
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
1. 2 answers
2. 2,865 views
F(x)=5e^x - 10 / 24e^x + 12f^(-1)(x)=? a=? b=?
1. 0 answers
2. 316 views
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)?
1. 1 answer
2. 522 views
Evaluate the following limits.lim as x approaches infinity 6/e^x + 7=____? lim as x approaches negative infinity 6/e^x+7=____?
1. 1 answer
2. 1,237 views
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
1. 3 answers
2. 1,877 views
Find the linearization of f(x)= sqrtx at x=25 and use the linearization to approximate sqrt25.2This is my math: 5+ 1/10 *
1. 2 answers
2. 931 views
[Linear Approximations and Differentials]I tripled checked my work but I'm still not getting the correct answer. y=3x^2 x=3 &
1. 3 answers
2. 514 views
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
1. 3 answers
2. 1,605 views
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
1. 3 answers
2. 1,610 views
A plane flying with a constant speed of 5 km/min passes over a ground radar station at an altitude of 4 km and climbs at an
1. 4 answers
2. 2,230 views
Air is being pumped into a spherical balloon so that its volume increases at a rate of 30 cubic centimeters per second. How fast
1. 2 answers
2. 6,318 views
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
1. 4 answers
2. 3,047 views
If xy=4 and dy/dy=3 then find dx/dt when x=4?
1. 2 answers
2. 389 views
A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a
1. 2 answers
2. 9,652 views
The task is to create a c source code program that will name a quadrant when a given coordinate is given.Example: Input
1. 3 answers
2. 562 views
[Implicit Differentiation](5x-y)^4 + 2y^3 = 258 evaluate y' at the point (1,1)
1. 3 answers
2. 781 views
[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
1. 3 answers
2. 400 views
Evaluate y' at (2,1) [Implicit differentiation]5xy-3x-4=0 I got 3/10 and 2/10 but both were wrong.
1. 4 answers
2. 495 views
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-5By looking at
1. 2 answers
2. 484 views
Prompt the user for the inner and outer diameter and thickness of the washer to be entered in cm. Then prompt for the material
1. 2 answers
2. 833 views
BCC crystal structure, atomic radius of .1363, and an atomic weight of 95.94g/mol. How would you compute the theoretical
1. 3 answers
2. 1,158 views
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
1. 2 answers
2. 614 views
Find the Derivative of (7x^2-6)^8(-4x^2-3)^9
1. 1 answer
2. 384 views
Given that f(x)=x^6h(x)h(-1)=3 h'(-1)=6 Calculate f'(-1).
1. 3 answers
2. 353 views
If the equation of the tangent line to the curve y=9cosxat the point on the curve with x-coordinate 3pi/4 is written in the form
1. 3 answers
2. 507 views
Using the first of these limits, findf'(3) if f(x)=4x^2+4x-2
1. 1 answer
2. 393 views
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
1. 1 answer
2. 464 views
Evaluate the definite integralThe S thingy has 1 at the bottom and 9 at the top. 4x^2+5 divided by the sqrt of x.
1. 3 answers
2. 962 views
f"(x)=5x+3 and f'(-2)=-3 and f(2)=-5Find f'(x) and find f(2).
1. 3 answers
2. 437 views
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
1. 1 answer
2. 875 views
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of
1. 4 answers
2. 2,242 views
The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 370 dollars per
1. 4 answers
2. 1,956 views
A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 2. What are the dimensions of
1. 1 answer
2. 826 views
If 6075 square centimeters of material is available to make a box with a square base and an open top, find the largest possible
1. 2 answers
2. 710 views
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
1. 1 answer
2. 722 views
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2-x^2What are the dimensions of
1. 2 answers
2. 862 views
Find the point on the line -5sx+y+3=0 which is the closest to the point (2, 5)(___,___)
1. 3 answers
2. 544 views
f(x)=x*sqrt(x^2+2x+10) + 1*sqrt(x^2+2x+10defined at the interval [-7,5]. A. f(x) is concave down on the region _,_. B. f(x) is
1. 0 answers
2. 451 views
f(t)=5^x sechxf'(x)=?
1. 2 answers
2. 293 views
If f(x)=6arcsin(x^3) find f'(x)
1. 3 answers
2. 373 views
If f(x)=4-coshx/3+coshx,f'(x)=?
1. 2 answers
2. 328 views
Use logarithmic differentiation to determine the derivative of the function defined byf(x)=x^5(x-3)^9/(x^2+2)^4
1. 0 answers
2. 517 views
Let f be the function defined by f(x)=2x+11-3e^xIf the equation of the tangent line to the graph of f at the point (0,8) is
1. 3 answers
2. 1,250 views

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