Find if y = arctan(e2*). dx dy 2e 2x dy e 2x dx 1+e 4x dx 1+e4x O Option 3 Option 4 dy dy 2e 2x V1-e4x %3D dx dx V1-e4x O Option 2 Option 1

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A: Given integration is: ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx

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Q: +00 (x + 7)" Consider the power series > 2" Vn² – 1 | n=2 1. Use Limit Comparison Test to show that ...

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Q: 2.

A: ∫x2ex dxBy integration by parts

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A: We can evaluate the answer as below.

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Q: A. Elimination of Arbitrary Constant Eliminate the arbitrary constants (1) y = (c + c2x)e* + 2x - 4

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Q: Original Integral Rewrite Integrate Simplify dx 9. X + C dx

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Q: Lof the function a(t) - (2n2+2

A: We have to find the antiderivative of the given function

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Q: cos x dx – sin z V1- sin x Determine

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Q: ха + 3bx? + 4ах? + x? — 2ах — 2ab + bx dx х4 — 2ах3 + bх3 — 2abx?

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Q: T/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

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Q: | In|Vi + 1| dx

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Q: Use the Root Test to determine if the series converges or diverges (-1)"2* (-1)"2ñ zuć en? (2n2 – 1)...

A: Given problem:-

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: To find out the volume of the tetrahedron whose vertices are given.  

Q: Find f'(x) if eſ(x) = 1 + x². f'(x) = 2x(1 + x2) f'(x) = 2x(e1+**) Option 1 Option 3 2x f'(x) = 1+x2...

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Q: Evaluate the moment M, and My of the region bounded by x- 2y - y? and the y-axis.

A: Given area is bounded by x=2y-y2 and y-axis.  On the y-axis, x=0. We try to find the point of inters...

Q: Question 8 x²dx Evaluate x²Vx2 -4

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotat ab...

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Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter ...

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Q: find an equation for the plane that is tangent to z=4x^2+y^2 at the point (1,1,5)

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Q: Find the vector component of v = (4, –1, 7) along b = (1, 2, –2) and the vector component of v ortho...

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Q: x² + ax + 2bx + 2ab + 2x² – ax² + 6bx² dx x* + ax² + 2bx² + 2abx²

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Q: 3/11 Correct Question 3 of 6, Step 2 of 2 Consider the function: f(x) = x3 - 9x2 + 5x %3D Step 2 of ...

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Q: tind the detne of 2メー3 う×ース using the definition -

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 8j as a...

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Q: x(x-2) dx (x-1)3

A: We can find the integration as below

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A: The unit vector in the direction of u is defined by: {\displaystyle \mathbf {\hat {u}} ={\frac {\ma...

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A: Standard form of an ellipse

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A: given :-  graph of f over the interval (0,6)  To see the interval where f is increasing.

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A: For the series with an=(-1)n+1 bn  or an=(-1)n bnbn ≥0 for all k.Then if,1. limn→∞ bn =0 and,2.{bn} ...

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Q: 8

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