Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 78, Problem 11A
In each of Exercises 11 through 14, three views of a part are shown. Two surfaces are to be machined in reference to the horizontal plane at the angles shown in the front and right side views. Do not use intersecting angular surface formulas in solving these exercises. For each exercise:
a. Sketch and label a rectangular solid and the pyramid formed by the angular surface edges. Show the right triangle that contains
b. Compute
c. Compute
a. (sketch)
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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
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- 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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