
Concept explainers
College Tuition An old study of about 1,800 U.S. colleges and universities resulted in the demand equation
a. The study also found that the average tuition charged by universities and colleges was $2,900. What would the effect on the price elasticity of demand have been if the price had been lowered to $2,200? What does the answer suggest about the tuition price corresponding to maximum annual revenue?
b. On the basis of the study, what would you have advised a college to charge its students to maximize total annual revenue, and what would the resulting enrollment and revenue have been?

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Chapter 5 Solutions
Applied Calculus
- Suppose that a particle moves along a straight line with velocity v (t) = 62t, where 0 < t <3 (v(t) in meters per second, t in seconds). Find the displacement d (t) at time t and the displacement up to t = 3. d(t) ds = ["v (s) da = { The displacement up to t = 3 is d(3)- meters.arrow_forwardLet f (x) = x², a 3, and b = = 4. Answer exactly. a. Find the average value fave of f between a and b. fave b. Find a point c where f (c) = fave. Enter only one of the possible values for c. c=arrow_forwardplease do Q3arrow_forward
- Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.) (a) In(0.75) (b) In(24) (c) In(18) 1 (d) In ≈ 2 72arrow_forwardFind the indefinite integral. (Remember the constant of integration.) √tan(8x) tan(8x) sec²(8x) dxarrow_forwardFind the indefinite integral by making a change of variables. (Remember the constant of integration.) √(x+4) 4)√6-x dxarrow_forward
- a -> f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem) Muslim_mathsarrow_forwardUse Green's Theorem to evaluate F. dr, where F = (√+4y, 2x + √√) and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to (0,0).arrow_forwardEvaluate F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line π 1 1 segment starting at the point (8, ' and ending at the point (3, 2 3'6arrow_forward
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