Calculus AB

Calculus AB

This is for Calculus AB

f''(x)=cos(x), f'(pi/2)=7 and f(pi/2)=3

If an airplane is moving at velocity v, the drag D (in N ) on the plane is D=av2+b/v2 , where a=5.40*10-3 and b=3.08*108 . Find the value(s) of v(in km/h), for which the drag is the least...

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A rectangular piece of cardboard, 100cm by 40cm, is going to be used to make a rectangular box with an open top by cutting congruent squares from the corners. Calculate the dimensions (to one decimal...

I really need to learn how to do this problem. Thanks so much!

Suppose for a particular commodity, e=0.67 and that currently 10,000 units are selling for $6 each. How does a 1% increase in price affect the revenue?

For a particular commodity, the demand function is q=110,000/p....Find the elasticity when p=8

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Given that f(10)=5, f′(10)=1, g(5)=3, and g′(5)=9, what is the approximate value of g(f(10.01))? Help!?

f(x) = sin(-6x)/(9x). x is less than 0 3x-9k-6. x is greater than or equal to 0 Help!?

f(x) = 1. -8x^2+48x-40/(x-1) x is less than 1 2. -2x+k x is greater than or equal to 1

a.) If a farmer plants x units of wheat in his field 0 ≤ x ≤ 196, the yield will be 14x-x^2/14 How much wheat should he plant for the maximum yield? b.) In the problem...

We give the cost C of producing x units of a particular commodity and the selling price p when x units are produced. Determine the level of production that maximizes profit. C(x) =2/5...

How do I find the number of real zeros for the function f (x)= x^3-2x^2-8x?

Need help really struggling on how to do this

A firm is able to determine that its marginal cost, in dollars, from producing x units of an item is given by C′(x)=2100x-2.2, where x≥1. Suppose that it were possible for the firm to make infinitely...

The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.013 per page where p is the number of pages in the book A 620-page book has a $20.68 production cost...

Find the exact area under y = 6te-t for 0 <= t <= 4. (The answer is NOT 5.4505. I've gotten that twice, and it keeps getting marked...

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