r3 0 d.x 16+ x²

Q: Set up a definite integral for the length of the curve y = x3 over [1, 2]. Set up the integral and…

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Q: I need answer typing clear urjent no chatgpt Use linear approximation to approximate a suitable…

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Q: Explain why the limits of integration are changed when u is substituted for an expression in x in a…

A: The limits of the integration are substituted at the end of the integration when the function is…

Q: Find the equation of the tangent plane to z = In(x?y) – x/ỹ at (-,4). %3D

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Q: how do you do the scalling to obtain the approximation?

A: Scaling down theory:    In practice it is best to “scale down” each approximation before proceeding…

Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-…

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0…

Q: The residual is the horizontal distance between the fitted and actual value (y). True False

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Q: (a) Estimate the area under the curve across the given domain with the "Trapezoidal Rule" using…

A: The integral to be evaluated using Trapezoidal rule is ∫x=-2x=+22x3+3x2-7x+3 dx. The trapezoidal…

Q: ) L(3.98) where L(x) is the linearization of y = √√x +3 at x = 1 (tangent line approximation)

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Q: Use differentials to estimate the amount of paint needed toapply a coat of paint 0.05 cm thick to a…

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Q: Use the total differential approximation to calculate sqrt((3.91)(9.11))

A: Use the total differential approximation to calculate sqrt((3.91)(9.11))

Q: Use integration by parts to evaluate (tan- dx. Express your answer in four (4) 2 decimal places.

A: By part integration: integration uv = u(integration v) - integration ( (u')(integration v))

Q: Find all the x-coordinates (in increasing order) of the points on the curve x²y² + xy = 2 where the…

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Q: Determine local extremum f(x,g) = xy(4-x-). %3D

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Q: Find the average rate of change of between the points on the function whose coordinates are (1, 3),…

A: Given points are (1, 3) and (2, 16).

Q: dx by taking four 1+x Use Simpson's Rule to obtain the approximate value of intervals.

A: Given: ∫0111+x2dx Definition: If f(x) is continuous on [a, b] then Where, ∆x=b-an