Let g(x) = *F(t) dt, where f is the function whose graph is shown. YA 1 0 3 f 6 9 t O A. Find g(3) B. Find g'(3) C. Find g"(3) D. Does g have a local maximum, a local minimum, or neither at x=6?

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A: given  z=3x2+y2x=ey

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Q: 10) Does the sequence an = √n² + 3n - n converge or diverge? Explain

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A: Given Vertices = ( ±a , 0 ) →( ±12 , 0 ) foci = ( ±c , 0 ) →( ±9 , 0 ) so a = 12  &  c = 9

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A: Given query is to find the value of the expression.

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Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

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A: We can find the area of the region .

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Q: Please answer the question. Asap. Thank you.

A:

Q: Which of the following represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

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Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

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Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

A: Given query is to find the value of tanA.

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A: Given,           fx=sin7 lnxTo find : Differentiate the function.

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A: Please see the below picture for detailed solution.

Q: hether the matrix is invertib

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Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

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Q: Differentiate the function. 4√x + 9x 7x² y' = y =

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Q: locity of 6. Find the average value of f(2x - 1)³dx.

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Q: solve: y" - Hý + 4y = 40st; y(0)=2₁ y(0)=5 using Laplace transform

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Q: rting to polar coordinates. dy

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Q: whose center is located at the x axis? a) (x² + y²)dr + 2xydy=0 e) (2²-y)dz +2rydy=0

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Q: Perform the matrix operation. Let A = °[4 4 -3] -16-4] O 0-31 [0-12] O [d [-2 2 -8-8 O -4 -3 0 -12]…

A: Given query is to perform indicated matrix operation.