Section22. A box with a square base of length x and height h has a volume V=xh. Complete parts a. through e.a. Vx =.Vh =b. For a box with h = 1.2 m, use a linear approximation to estimate the change in volume if x increases from x-0.5 m tox= 0.52 m.The change in volume if x increases from x=0.5 m to x 0.52 m is(Simplify your answer.)c. For a box with x 0.5 m, use a linear approximation to estimate the change in volume if h decreases from h 1.5 m toh =1.46 m.The change in volume if h decreases from h=1.5 m to h = 1.46 m is(Simplify your answer.)d. For a fixed height, does a 10% change in x always produce (approximately) a 10% change in V?NoYese. For a fixed base length, does a 10% change in h always produce (approximately) a 10% change in V?YesNoFind the unit tangent vector T and the curvature k for the following parameterized curve.rt) =/7t - 7 In (cos t) for --

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A box with a square base of length x and height h has a volume V=xh. Complete parts a. through e. a. V = Vh = b. For a box with h = 1.2 m, use a linear approximation to estimate the change in volume if x increases from x 0.5 m to x= 0.52 m. The change in volume if x increases from x 0.5 m to x=0.52 m is (Simplify your answer.) c. For a box with x 0.5 m, use a linear approximation to estimate the change in volume if h decreases from h 1.5 m h = 1.46 m. The change in volume if h decreases from h=1.5 m to h = 1.46 m is (Simplify your answer.) d. For a fixed height, does a 10% change in x always produce (approximately) a 10% change in V? No OYes . For a fixed base length, does a 10% change in h always produce (approximately) a 10% change in V? DYes No

A box with a square base of length x and height h has a volume V=xh. Complete parts a. through e. a. V = Vh = b. For a box with h = 1.2 m, use a linear approximation to estimate the change in volume if x increases from x 0.5 m to x= 0.52 m. The change in volume if x increases from x 0.5 m to x=0.52 m is (Simplify your answer.) c. For a box with x 0.5 m, use a linear approximation to estimate the change in volume if h decreases from h 1.5 m h = 1.46 m. The change in volume if h decreases from h=1.5 m to h = 1.46 m is (Simplify your answer.) d. For a fixed height, does a 10% change in x always produce (approximately) a 10% change in V? No OYes . For a fixed base length, does a 10% change in h always produce (approximately) a 10% change in V? DYes No

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 53E

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