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In Exercises 63 and 64, find
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Chapter 6 Solutions
Calculus and Its Applications (11th Edition)
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- Which of the following is the reciprocal of a linear function? O a) f(x) = b) f(x). = 6 2x + 1 1 x² + 1 c) f(x) x) = x+1 d) none of the abovearrow_forwardDerive/prove following relations: a) (A x B) · (C x D) = A· [B x (C x D)] %3D А:[(В.D)C — (В.С)D] (A C) (B D) - (A D) (B C) | %3Darrow_forwardThey are functions that describe relationships between two variables... a) Quadratic b) Linear c) Polynomialarrow_forward
- Given g = {(1, c),(2, a),(3, d)}, a function from X = {1, 2, 3} to Y = {a, b, c, d}, and f = {(a, γ),(b, α),(c, δ),(d, γ)}, a function from Y to Z = {α, β, γ, δ}, write f ◦ g as a set of ordered pairs.arrow_forwardIn a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 16.7 + 3.5x1 – 2.4x2 + 7.6x3 + 2.6×4 (a) Interpret b, in this estimated regression equation. b1 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x, are held constant. bị 3.5 is an estimate of the change in y corresponding to a 1 unit change in X1 when X2, X31 and X4 are held constant. %D b1 = 7.6 is an estimate of the change in y corresponding to a 1 unit change in X3 when X1, X21 and X4 are held constant. b1 2.6 is an estimate of the change in y corresponding to a 1 unit change in X4 when X1, X2, and X3 are held constant. %D = -2.4 is an estimate of the change in y corresponding to a 1 unit change in x, when X31 b1 and X4 are held constant. Interpret b, in this estimated regression equation. b2 = -2.4 is an estimate of the change in y corresponding to a 1 unit change in X2 when X1, X31 and Xa are held constant. b2 = 3.5 is an…arrow_forwardIf f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and f(4). Is f(x+y) =f(x) +f(y) for all functionarrow_forward
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