The antiderivative of the function f(x) = 4 + 10x is + 5.0x? + c 4 5.0r? +c 4 + 20.0z? + c + 5.0z? +c -10 + 2.0x2 + c

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A: the region is bounded by y=2x3+3x2-4x, y=x2

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A: This is aproblem related to polar equation calculation. We will assume, x=rsintheta and y=rcostheta

Q: 6.26. у - 3у %3D0

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Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative

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A: Solution of question is written in below steps.

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A: Solve the following

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A: Given Problem:- Evaluate ∫13x+12dx

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Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: Evaluate the integral by interpreting it in terms of areas. (10 – 5x) dx

A: Explained below

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A: This is a problem related to integration. Based on the general formula we will answer the question.

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A: Given:      Maclaurin Series for fx=ln1-6x   A Maclaurin series is given by fx=∑n=0∞fnan!xn   So,…

Q: ;Which sequence is increasing ? 7n-21 4n -7n+2 4n 4n+2 7n 7(-1)" 4 None of the others

A: We need to determine which sequence is increasing.

Q: Question 21 Let us calculate uie area of the closed region bounded by y - 4y -x and y=x+4. The first…

A: The region bounded by the given curves is:

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A: Topic = Functions The amplitude of y = sin x is 1 unit.

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Q: Cotangent graph does not have an amplitude. True False

A: A Cotangent graph does not have an amplitude??

Q: х—1 dx x4-1

A: Solution of question is written in below steps.

Q: The graph of the derivative f' of a function f is shown. y = f'(x) 2 4 6 (a) On what intervals is f…

A: Let's find.

Q: Approximate the area under the curve y = x' from z = 2 to a = 4 using a Right Endpoint approximation…

A: To approximate the area under the curve y=x3 from x=2 to x=4 using a Right Endpoint approximation…

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Q: 3. Compute the scalar line integral 3 y – xz ds where C is the line seg- ment from (0, 1, 1) to…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: First we find unit vector of v.

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A: Given query is to the transformation applied.

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A: Given that the double integral  To find:- solve the double integral

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A: Note: As part (a) is only attached solved that for you.

Q: 7. Find A + 5B

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Q: Determine whether the given differential equations are homogenous and, if so, solve them. 2x + y…

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Q: D

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Q: Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Test the series for convergence or divergence. (-1)" + 1 2n4 n = 1 converges O diverges If the…

A: See the answer below

Q: Using the graph answer: f(2) g(2)

A: We now that ,in  y=f(x) , x is values in domain and f(x) is the values in co-domain, Therefore here…