de 2 C:and 0.1784 arctan + C; and 0.1784 arctan aretan k- + C; and 0.1784 arctan

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Q: Homogeneous ODE x^2y'=4x^2+7xy+2y^2

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A: Given ;

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A: The given function is:Y=-0.025x2+6xThe slope is 9

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Q: 3. Find the exact value of each trigonometric function. cos-1 cot

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Q: 1 10. cos 0 tan 0 +1 2

A: .We will verify the given identity.Below find the solution in image.

Q: x3 - 27 dx x - 3 Find the antiderivative of 3x2 A 9x + C .2 3x B + 2 + C 3 3x C) + 9 + C D x3 - 3x2 ...

A: We have to solve the integral

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Q: 14 2 = x -y, x = t, y', y = t-1

A: Here is the solution

Q: Number 24

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Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

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A: Solution is written in below steps.

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Q: The area of a square is increasing at a rate of 36 centimeters squared per second. Find the rate of ...

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Q: given

A: We will solve the integration. 

Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

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A: We have to find out

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A: here we have to check whether the differential equation is exact or non exact.

Q: dy 2у _ (x+2)² 9. dx'x -4 r² – 4 +

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Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

A: Given that: f(θ)=2sec3θ

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Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

Q: 1 x-1, 2 x 0 Is f(x) continuous at x = -4? O a. Yes, the limit from the left-hand and right-hand sid...

A: Check the countinuity of the function at x=-4 .

Q: y =

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Q: Find two positive numbers with product 361 and whose sum is a minimum. Enter your answers in increas...

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Q: dx Evaluate the given function f xlnx а. In (lnx) + C b.lnx + C с. х + С d. - In(lnx) + С e. None of...

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Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

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A: We have to find characteristics equation

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Q: 8. fx,y) = sinx cos y

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Q: Assume that ƒ(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on...

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Q: How do you do this in properties of addition.

A: Our Aim is to apply the properies and to solve the fractions given below:-(2) 39+59+49(4) 426+246+33...

Q: Homogeneous Differential Equations (13) (4x* + x³y + y*)dx + x*dy = 0

A: We are asked to solve the homogenous differential equation   

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A: We have to find the area

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A: