Consider the ellipse with the given characteristics. foci: (0, 0), (0, 10); major axis of length 18

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

Q: Find the area of the shaded region Blank 1 Note: Enter exact answer ... x = Y 20 1000 y? 20 Blank 1…

A: Find your answer below

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A: Find your answer below

Q: . Determination of integrating factors: 2y(x+y+2)dx+(y² – x² –4x –1)dy = 0 %3D

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

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A: We know, ∫dxx=lnx ∫xndx=xn+1n+1 for any real number n.

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 5. In the differential equation 2.xydx+(y² – x dy=0, what is 1 (OM ON M dy

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Q: 4x2 +y d'y when = 2 and y = 1. 17 then evaluate %3D dx? (Answer accurate to two decimal places.)

A: This question can be solved using the concept of second order derivative.

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A: Basic 3d geometry problem

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Q: Given f″(x)=−36sin(6x)f″(x)=−36sin⁡(6x) and f′(0)=−6f′(0)=−6 and f(0)=2f(0)=2. Find f(π/5)

A: f''(x)=-36 sin(6x)f'(x)=∫-36 sin(6x) dxf'(x)=-36 -cos(6x)6+Cf'(x)=6cos(6x)+Cf'(0)=-6-6=6 cos(0)…

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Q: Given that z=5cos ( 3x + 3ct) + e*+d. Which ONE of the following statements is TRUE? %3D OA. d2z dx2…

A: Here is the solution.

Q: Find the inverse Laplace transforms of the functions: a) F(s) = 9+s/4-s^2 b) F(s) = 1/s(s^2+4)

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Q: 3. Determination of integrating factors: 2y(x+ y+2)dx +(y² - x² -4x-1)dy = 0

A: The given differential equation is  2y(x+y+2)dx+(y2-x2-4x-1) dy=0. Repost the next question.

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A: The area enclosed by the curves,y=11-9x2 and y=2

Q: d) t2 = 6,t3 = 12,t10 =x %3D

A: Given, t2=6t3=12Aim : to find  t10.We know that tn=arn-1Where a is first term,r is common…

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Q: 2. The linear differential equation x*dy+(2y– 3x²y-x' \dx = 0 has the integrating factor equal to…

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Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: Current Attempt in Progress Let a = ci + j and b = 8i + 24j. Find c so that a and b are orthogonal.…

A: for orthogonal of vector dot product of vector is 0 a*b=0 (ci+j)(8i+24j) = 0 8c +24 = 0 8c =-24 c…

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A: Explanation of the answer is as follows

Q: /3 In (x+ 1) e series representing the integral -dr is given by A. (-1)"+1 n=1 3" (n+ 1)2 В. (-1)"+1…

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A: I have stated the used formula in the solution.

Q: Integrating factors found by inspection.: y(x² – y² +1}dx– x(x² – y² – 1\dy = 0

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Q: Consider a triangle ABC like the one below. Suppose that a=50, c=68, and A=26°. (The figure is not…

A: Consider a triangle ABC like the one below. Suppose that a=50, c=68, and A=26°.To solve the…

Q: Integrate completely

A: Solution-

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A: This is a problem related to derivation of the general formula of differentiation.

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: We will find the unit vector satisfying the given conditions in the following step.