Solve the following integrals: 1. S–7e*dx 4. S 8*+1dx -6 2. S(2e* – 6*)dx 5. S-dx 3. S;(3")dx 6. —100х-1dxх

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A: Given problem:- Suppose f is a function of x and that you know that f'(x) = 2x2 - 15. Is f…

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A: We can solve as follows

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A: In this question we verify Green's Theorem                 i.e, verify integral  ∫C y2 dx +x2 dy =…

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Q: d Calculate ri(t) · r2(t)] and rı(t) × r2(t)] first by differentiating d dt the product directly and…

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A: A detailed solution is given below

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A: Apologies for the inconvenience.   Let, x = the distance from the wall. y = the height of the top of…

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Q: Find curl (8z i + 9x j+ 8y k). curl (8z i + 9x j + 8y k) i )i + ( i )j + ( i )k

A: Given that,     8z i+9x j+8y k

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Q: Answer only option b.

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Q: 19. What is the seсond derivative of y бх* - 3x1 + х2 -57 а. у 24х1 — 9х2 + 2х b. у"3 144х — 18 с.…

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Q: Describe the graph of the equation. r = (7 – 21) i + 10r j | O It is a line in 2-space through the…

A: The given equation is: r(x,y)=(7-2t)i+10tj⇒x=7-2t    y=0+10t

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Q: 1) Find and of the following equation then simplify whenever possible. dx x = 2u* – u3 + u – 11 , y…

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A: Given : A→=3i-5j+2kB→=7i+j-2k     To Find : Vctor Projection of A→  onto B→

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Q: Evaluate the definite integral. e6 i + e¯'j+tk )dt + (1 - 'e) -1(1 - م( ° e'j 6 -i- (e-' - 1)j+k i+…

A: We have to choose correct option.

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