## AP Calc Resources How do I solve this? (question too long)

The top of a 15-foot-long ladder rests against a vertical wall with the bottom of the ladder on level ground, as shown above (it's just a ladder leaning against a wall). The ladder is sliding down... Calculus integration question

The rate of depreciation dV / dt of a machine is inversely proportional to the square of t + 1, where V is the value of the machine t years after it was purchased. The initial value of the machine...

The given point is (-1,3).   The differential is dy/dx= -30/(4x+1)3 Determine the area under the given curve

The equation is 1/(x8). The limits are x=1 and x=2. I put this into my graphing calculator and it gave me an answer of 0.142 but the answer is not right apparently. Please help! True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please

If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b] True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please

If f and g continuous function on [a,b] then (upper: b, lower a)∫f(x)g(x)dx=[(upper: b, lower a)∫f(x)dx]*[(upper: b, lower a)∫g(x)dx]. Consider the region, R, bounded by the x-axis, the y-axis, and the graphs of the equations y=1/(x^2+1) and y=lnx

Find the area of the region R. a. 5.497 b. 1.483 c. 0.879 d. 0.013

¯x= 11/3 ¯x= 8/3 ¯x= 14/3 ¯x= 4/3 none of these probability and integrals

Suppose that f(x) is the probability density function describing the distribution for the number of minutes it takes to solve a puzzle. Which of the following represents the probability that you will... Given the cost function C(x), the marginal cost is given by which of the following?

a. ∫C(x)dx b. ∫xC(x)dx c. C'(x) d. ( C'(x) )/x e. none of these