Evaluate the following integral, f (x - 5y) dx - 8y² dy where C' is given by x = y² + 6 from (7, 1) to (70, 8).

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A: The given integral..We have to find the solution to the integral.Formulas used:

Q: 1 V₁ V2 = 2(+/-+- (1 (v₁/v₂) = 2 sin = -2V²-V²_2₁ Z₁ cos 1 =2²₁√√√√²₁ X Z₁ + V/₂ √/1-(V₁/V₂)² V₂ V2…

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A: The figure is given as,Estimate

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A: A real estate company owns 120 apartments which are fully occupied when the rent is $700 per month.…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

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Q: S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

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A: In this question, we will find the concave down and up intervals.

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Q: 7. Given F(x)=√√√x+3 A. Find (fo (fog)(x) B. Find (9°F) (2) gof) → g (x) X -2 report domain and…

A: f(x)=sqrt(x+3)g(x)=x2-2.