10. The position of an object moving in a straight line is given by: S(t) = -2t³ + 5t² - 10t +20 (S is in meters and t in seconds).

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A: Region bounded by x-axis and Using Disk method , Volume of solid of revolution about x-axis will be

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Q: 6. f(x) = X a. lim f(x) x-0* b. lim f(x) X-0 c. lim f(x) X-0

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A: 19) Where, S is the upward-facing paraboloid  lying in cylinder From above curves the radius of the…

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A: Using to chain rule :

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: Convert partial fraction decomposition of the function

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Q: Given the function below, evaluate and simplify f(a + b). 2x x² + x (A) / (B) a a+b f(x) = (C) 2…

A: The objective of the question is determine the function f(a+b).

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Q: Given f(x) = 2x² + 1 and g(x) = 4x - = 4x - 6, find the following. (a) f(g(2)) (b) f(g(x)) (c)…

A: Given functions are,Under guidelines we are suppose to answer only 1 or 3 sub parts.

Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (1,1) b. (41)

A: Consider the formula for the linearization for any function linearization for two variables.

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Q: Find a closed-form expression for the nth derivative of the function h(x) = xeª. (Hint: Find the…

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Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

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Q: d the derivative dr do for r 2007 cos 0 =

A: We find derivative value.

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Q: The rate of healing, A'(t)(in square centimeters per day), for a certain type of abrasive skin wound…

A: t01234567A'(t)0.910.870.720.670.610.510.480.43

Q: 7) Find the Taylor series generated by fat x = 1 f(x) = 2x³ + x² + 3x - 8 8) Find the Taylor series…

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Q: 19. f(x²+2x-4) dx 20. f, x100 21. (-²+31) dr 22. ·S' (1-80² +) 16v¹) du 100 dx

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