Prince@18

1) The sides of the triangle shown increase in such a way that (dz/dt=1) and (dx/dt=(3dy/dx)) At the instant when x = 12 and y = 5, what is the value of dx/dt? 2) Let f(x) = x^3 − 4. Which of these is the equation for the normal line to this curve at the...

Here is a graph of the derivative y' of a continuous, differentiable function. For approximately what values of x between −5 and 5 does the original function y have inflection points? Find limit as x approaches 3.5 [[x-2]]/x (Remember that [[x]] is...

3.The position (feet traveled) of a car is given by the equation s(t)= 4t2 + 4t. Find the time when the car is going the same speed as its average speed over the interval 0 to 10 seconds. A)t=0 B)t=2.5 C)t=5 D)t=10 E)Never 4. Consider the curve given by x...

I wanted to ask this 1 questions because i didn't even know where to start. For a continuous function f(x), f(1) = 11, and Integral symbol from 1 to 5 f'(x)dx=9. Find f(5).

let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know...

so after i did this problem i was stuck on two answer choices: arctan(x^2) or 2x arctan (x^2)