Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 77, Problem 15A
To determine
(a)
To compute the angle
To determine
(b)
To compute the angle
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- Question 2 (3.5 points) A firm produces a certain good. The current unit price of the good is equal to €7. At this price level, the marginal demand is equal to -0.8 and the point elasticity of demand is equal to -0.28. a. Give a precise economic interpretation of the number -0.8. b. Find the exact value of the current revenue of the firm and estimate the change in revenue if the current unit price is reduced by 3%. Next, assume that the demand is given by an equation of the form q = a/(bp). c. Find the values of the parameters a and b. Answer to Question 2:arrow_forwardpls help asaparrow_forward5) Let P(T) = a;T be a complex polynomial of degree n ≥ 1. Show that |P(z)| — ∞ for |z| i=0 8∞. tarrow_forward
- Question 2 pleasearrow_forwardThe cost function f gives the cost c (in EUR) in terms of the quantity q produced. When graphed using a log-log scale (decimal logarithm on both axes), the graph is a straight line with vertical intercept 5 and slope 0.5. Give the explicit equation of the function f.arrow_forwardThe value of a computer depreciates exponentially. After 2.5 years, the computer is worth half of its original value. By what percentage does the computer depreciate yearly?arrow_forward
- Question 3 pleasearrow_forward7. Rank and Nullity • Prove the Rank-Nullity Theorem: dim(ker(T)) + dim(im(T)) = dim(V) for a linear transformation T: VW. • Compute the rank and nullity of the matrix: [1 2 37 C = 45 6 7 8 9arrow_forward5. Inner Product Spaces • • Prove that the space C[a, b] of continuous functions over [a, b] with the inner product (f,g) = f f (x)g(x)dx is an inner product space. Use the Gram-Schmidt process to orthogonalize the vectors (1, 1, 0), (1, 0, 1), and (0, 1, 1).arrow_forward
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