Pax

I'm trying to factor this equation in order to find its limit, but I'm not sure how to go about it. I can get the answer by graphing on a calculator but I need to do it without one. Function: F(x)=(x^2-36)/(sqrt(x^2-12x+36)) left, right, and overall lim a...

10 years ago

I'm trying to find the left, right, and overall limits of this function without using a calculator. Any help/suggestions on how I'm supposed to do this would be very helpful! f(x){ sinx if x<pi/6 tanx if x=pi/6 a=pi/6 cosx if x>pi/6

10 years ago

I need help trying to find the left, right, and overall limits for this piecewise function without using a calculator. f(x) = { sin(x/3) if x≤pi , (x√ 3)/(2pi)if x>pi} when a=pi

10 years ago

I'm trying to make sure I got this question right. I'm supposed to find (g * f)(x) when f(x)x^2-2x and g(x)=√(x-15). This is what I've got: (g * f)(x) = g(f(x)) √ (x^2-2x)-15= √(x^2-2x-15)= √(x-5)(x+3)

10 years ago

Suppose a coin is dropped from the top of the Empire State Building in New York, which is 1454 feet tall. The position function for free-falling objects is s(t) =−16t^2+v0t + s0. Question: At what time is the instantaneous velocity of the coin equal to th...

10 years ago

Consider the function f(x)= (3/4)x^4-x^3-3x^2+6x Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. Determine the interval(s) where f(x) is increasing (if any...

10 years ago

Thanks so much for all your help! That was way simpler than I thought, I think I was just overthinking it. Do you think you could also help me find the concave up at x = −2, x = −1, and x = 2 and show f(x) is concave down at x = 0? (this is still for the...

10 years ago

The cost of producing x units of a certain commodity is C(x)=1000+5.70x+0.7x^2 . What is the average rate of change of C with respect to x when the production level is raised from x = 100 to x = 120 and when the production level is raised from x = 100 to...

10 years ago

Hello! I'm having trouble understanding how I'm supposed to work out this problem. Any help would be appreciated! Find the area of the region bounded by the curve y = f(x) = x3 – 4x + 1 and the tangent line to the curve y = f(x) at (–1,4).

10 years ago

I would like someone to double-check my answers on this question: River currents (miles per hour) at a certain location are given below. The current direction at this location was “from the north” during the time interval shown, and the current did not ex...

10 years ago

Measurements of a lake’s width were taken at 15-foot intervals, as shown: x= 0 15 30 45 60 75 90 105 120 f(x)= 0 15 18 20 19 23 24 22 12 Estimate integral (0,120) f(x) dx with n = 4, using Midpoint approximation. For this question, I ended up with 7200 bu...

10 years ago

If g(x)=5^x, then g′(2) is _________

10 years ago

The slope of the line normal to the curve e^x − x^3 + y^2 =10 at the point (0, 3) is ____

10 years ago

Suppose a certain country's population has constant relative birth and death rates of 97 births per thousand people per year and 47 deaths per thousand people per year respectively. Assume also that approximately 30000 people emigrate (leave) from the cou...

10 years ago

Solve the following differential equation with initial conditions: y"=e^(-2t) + 10^(4t); y(0)=1, y'(0) = 0

10 years ago

Alright, so if the question is asking for a * then I multiply both functions together, but if its asking for a ◦ then I plug in one function the the other? ps, Thanks for your help!

10 years ago

THANK YOU oh my goodness, that was so simple I can't believe I missed that. Thanks a bunch. That makes perfect sense.

10 years ago

I did (0.5)(10)(0.283+0.333) + (0.5)(10)(0.333+0.367) + (0.5)(10)(0.367+0.350) + (0.5)(10)(0.350+0.283) = 13.33 miles Avg value: (13.33) / 40 = 0.333 mi/min

10 years ago

so 19.98 miles per hour (converting the mi/min to mph) would be my actual average i suppose whoops

10 years ago

Which would give B. as being 6:10, or maybe about 6:09 since the velocity is riiiight under 20

10 years ago

for c.) d=v*t where v=19.98 and t=2/3, 19.98*(2/3)= 13.32 (which is actually one decimal off of my answer oops)

10 years ago

I think the problem was I hadn't converted my units. Does this make sense now?

10 years ago

Africa is a huge continent with hundreds of different cultures. It's impossible to lump all "traditional African marriages" together!

10 years ago

is it (0.097 − 0.047) P − 30000?

10 years ago