( 3x2 + 1, { if r < 3 Consider h(r) What is h'(3)? %3D 10 — 18г, if x > 3 а. —8 b. -18 с. 18 d. does not exist

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A: To find the values of a and b that will make the function continuous everywhere.

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A: We have to find value of v(t) and x(t)

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A: Let's find.

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A: Given: y=x, y=-x+6, x=1   From the given curves and line the bounded region is as shown below; Now…

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Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

A: We know that,  ddxuv =vu'-uv'v2 Where u'=dudx and  v'=dvdx

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A: The region is bounded by the curve y=x4-x2 between x=-2 to x=2

Q: Based on figure below, we get some information: Which of the following statements are true? Gambar…

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A: we have to find derivative of the given function.

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A: Explained below

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A: Given,           ∫x2-6x+96x-x2dx

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A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

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Q: 1. Identify the indeterminate form and evaluate lim (sin x)tanx x-

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Q: Calculate the following limit: lim,1 a2+5x-6 x2-7x+6 O -7/5

A: we have to find the value of given limit limx→1 x2+5x-6x2-7x+6

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A: f(x) = 2x*(ln(cotx))2 here we use chain rule  d2x/dx = 2xln(2) d(u*v)/dx = vdu/dx +udv/dx…

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Q: Convert dzdydx Into an integral of cylindrical coordinates 45 hardzdrde Option 1 Option 2 Option 3…

A: To convert the given integral into cylindrical coordinates.

Q: a) Express f(x) = x2ex as a power series. b) Determine the 3rd degree Maclaurin polynomial of f. c)…

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Q: +oo (-1)" - x²²n for all x E R. (2n)! Consider the series expansion of the cosine function cos(x) =…

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Q: Vx² – 4 dx

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A: The objective of the question is evaluate the derivative of the given function.

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Q: 1 III. Consider an 1 for n eN = {1, 2, 3, ...}. 2n + 1 2n + 3 Find a general formula for the kth…

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A: Let's find.

Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

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Q: Find y' if 3x2- (ry?) = 2y.

A: y' = ? 3x2 -(xy2)1/2 = 2y3 3x2 - x1/2y = 2y3 differentiate with respect to x 6x - y/2x - xdy/dx =…

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A: