Find the Area bounded by the given curves. y = 2x + 1 ,  y = 7 - x ,  x = 8

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A: Solution is given below:

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Q: EXERCISES Solve the following differential cquations 1. =-sec(xy) Ans. sin x = +C dx 2x2 x +y Ans.…

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

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Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: To eliminate the arbitrary constant.

Q: If f(x) = 4 Tln(x), find f'(x). %3D Find f'(2). Submit Question

A: Differentiation

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Q: 5. If f(x)= 5x² + 2x+1 is an invertible function, find the slope of the tangent line to f^(x) at the…

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Q: dv 4.)Prove that f -Incosv + Insinv + C sinvcosv

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Q: dx 2. To evaluate | by trigonometric substitution, we let (5 – 4x – x - A. x+2= 3tane B. x+2= 3sine…

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Q: (a) Explain why the function f(x) = e is not injective (one-to-one) on its natural domain. (b) Find…

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 5ti + tj +…

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Q: Find the divergence of the vector field F. F(x, y, z) = In(9x2+ 6y² )i + 54xyj + In (6y? + 5z?)«…

A: To find the divergence of given vector field

Q: 16. Given: [ S(x)dx=10; s(=)d& x = ? (x)dx= 3;

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Q: A line is given by the equation y = x in rectangular coordinates. V3 Which of the following…

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A: Given: f(x)=2-3x10-5x916

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Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: 8. The rationalizing substitutionw + 4 = u² transforms - dw into w+4 A. fu² - 4°du B. 2fu² - 4}du C.…

A: Given: I=∫w2w+4dw  ...1   As we know that; The Power law: ddxxn=nxn-1 And ∫a·fxdx=a·∫fxdx , where a…

Q: 14. Given f'(x)= 5e* – 4 and f(0) = 2; find f(x).

A: We need to find f(x).

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A: We have to find tangent line

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A: Given: y=5x-4x+2; x=5;△x=-0.03

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Q: 7. Two planes leave the same airport. The first plane leaves at 5:00 pm and averages 470 mph at a…

A: Given problem:- Two planes leave the same airport. The first plane leaves at 5:00 pm and averages…

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Q: Given line M=-ax+ by+ c, b+ 0 What is the y intercept of the function? C-M -M-C OM-c

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: 1 Integrate

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Q: Which of the following equations is a homogenous DE? O (xy? + x)dx + (x²y- y)dy=D0 O (x- y)dx+ (3x+…

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A: Given, ∫14x2x2-17dx

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Q: 14. Write the solution set for the general solution. Write the solution set on the interval [0, 2n).…

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