2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³ 2x² I - 1/2 (d) ²³ [

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A:

Q: 2 2 2 Find the moment of inertia: x3 + y3 = a3 about x = = 0.

A: Let's find moment of intertia.

Q: Enter a whole or decimal number, or DNE for does not exist or undefined. |0x| lim (5+10=¹). [ - -0+z

A: Topic = Limits

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Q: 18. What is the length of the polar curve below? 3πt x = 8cos (0) for 0 ≤ 0 ≤ ³1

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A: To find whether the given function is continuous or not at(0,0).

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Q: example of properties of definite integral

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Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. I (a) √(x…

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A: We have to find rate of change

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Q: x3-4x-10 x²-x-6 dx.

A:

Q: then what is y at x=1?

A: We can find y at x=1 in the following steps.

Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the…

A: Given that polar curves  C1 : r = 3  and C2 : r=2-2sinθ  we have to find all points of intersection…

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A: Here we have to find the volume by using shell method.

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Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: Solution :Without odd-even…

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A: All three questions are solved.

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A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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A: SOLUTION-

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Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: i can't understand your solution

A: We have to explain the solution.

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A: Given y=x13    1≤y≤2Rotating about y-axisarea of surface of revolution about tghe y…

Q: 1. Write the polar form of the following complex number Z = 3

A: We know that polar form of complex number z=x+iy is z=r(cosθ+isinθ) Where r=x2+y2θ=tan-1(yx)

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A: Given

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A: The given integration is I=∫53+x2dx

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Q: Find the inverse of 2=2-51.

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Q: 47. Evaluate: x(x² + 3)5dx A. (x²+3)6 + C 12 B. (x²+3)6 + C C. ²/(x²+3)6 + C D. (x²+3)6 + C

A: According to the company rule we can answer the first question and rest can be reposted.

Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

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Q: Find a particular solution of as =10csc² 2t determined by s= 2 when t == . dt

A: dsdt=10csc2(2t)  s(π/4)=2 ds=10csc2(2t)  take integration both side

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A: Use limit to find wheather function is continuous or discontinuous.

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A: Given

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Q: Find the derivative of the following functions. Use long method. a. f(x) = 3x² + 5x - 100 b. f(x) =…

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