(b) xy' = 2y + x³ cos x x 500 ₂x = L = ² - ₁ k P(x) = -2/² Q(x) = x² cost dix) = -Sdx e ^4 = = = = = [[√x ²³ x² co₂x dx+c] Y=x² [SINX+C]

Q: 1. Solve for y3 using the method of successive approximation. dy dx = x+y; y(1) = 1

A: Given Data,y1 = 1dydx = x + y

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A: Using ÷ cscx=1sinx   1sin2x-8=0 1sin2x=8 sin2x=18 Now taking inverse and finding values of x we get…

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A: The solution is given below

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A:

Q: O t-sin(t)

A: the answer is t-sin(t)  provided the solution below with steps in step2

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Q: critical points

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A:

Q: 4. Set up an iterated double integral equal to the volume of the solid in the first octant bounded…

A: Solution is given below:

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Q: Letter E

A: Solving letter (E)

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Q: The indicated function y₁(x) is a solution of the given differential equation. xy" + y' = 0; Y₁ =…

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Q: 11. The derivative of a sinusoidal function is another sinusoidal function. 12. The rate of change…

A: In this question we have state whether the statement is True or False.

Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: According to question,Volume of cylinder = 16π cm3

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Q: P7:TE %7 02 7 The derivative with respect to x of the function y=-3tan-¹x-(In 3) log; (csc x) is y'…

A: Given: y=3tan-1x-ln 3log3csc x

Q: Consider the vector field F and the curve C below. F(x, y) = x4y5i + x5y4j, C: r(t) = (t²- 2t, t² +…

A: Consider the vector field F→ and the curve C F→(x,y)=x4y5i+x5y4jC:r→(t)=t2-2t,t2+2t , 0≤t≤1

Q: 7. Two part question: a. Determine the equation for the slope of the secant line between the point…

A: The given problem is solved below in detail.

Q: 11 7 Find Y 12 2r₁²³² + y² = 4 2

A: here is the solution

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Q: ¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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A: In this question, we want to evaluate the given definite integral.

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Q: Consider the following. w = √36 - 4x² - 4y², x=rcos(8), y = r sin(0) (a) Find aw/or and aw/00 by…

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Q: For the next three exercises, evaluate the integral (without using tables). f 1 4r dr √1-4 2 dt gint…

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Q: (a) Show that the function f(x) = x² 2 n! n = 0 is a solution of the differential equation f'(x) =…

A: The Solution is given below

Q: Take xlt) then x (1) = => x/w) = -jut J'est dt 1.e => x(w) == 1 JW X(w) = Lx -jwt ax e [f10+ ] ~ Sex…

A: To check the +ve or -ve

Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

Q: Question 11 For the function f(x): a. the x and y intercept b. the vertical and horizontal…

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Q: 3. The following is an incorrect solution to evaluating the integral of dx/(1 + 4x^2)^3/2 . Set x =…

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Q: D Question 12 or the function f(x) whose derivative is graphed above, mark all true statements…

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Q: If f(x) = etan-¹(x²-3) then f'(x) at x = 2 is equal to

A: SOLUTION-

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

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A: To find out the cheaper option.

Q: 3. Using multiple linear regression, estimate the values of a, b and c in the given regression…

A: given that        X            1            2              3            4          Y…

Q: K If f(x) = x² + 7x and g(x) Answer = 51 find g(f(n)). g(f(n)) IL

A: