Three regions are defined in the figure. y C (0,3 R₂ B(1,3

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A: Let's find inverse laplace by using convolution theorem.

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A: We have to evaluate the given integral.

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A: This is basic algebra problem

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A: This question can be solved using the concept of trigonometric identities.

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: we have f(x) =4x3-6x2-10x+1

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A: Here is the solution of the given.  To solve this problem we use here simple concept of time and…

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A: Follow the procedure given below.

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A: Given

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A: Let's solve.

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Q: 1) (y ²-1) dx - 2y (²+x) dy 2) y² = x €²9-x² =C

A: See the details solution in below

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Q: What function will you differentiate to get each function? 2. f(x) = 8x74x³ + 2x - 3 →

A: solution:-f(x)=8x7-4x3+2x-3antiderivative of f(x)F(x)=∫f(x)dx       =∫8x7-4x3+2x-3dx…

Q: Test the convergence and divergence of the following series, find the sum of convergent series. b)…

A: Given: Here, ∑n=1∞3n51-n=3∑n=1∞35n-1. and 3/5<1.

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A: To find the coordinates of the point A.

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Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

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Q: You create a container by rotating the curve y = 4 ln(x-6) for y=0 to y = 9 around the y-axis. You…

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