Problem2. 3–2x Solve e = 4. And then: 1. Leave your answer in exact value. 2. Round your answer to the nearest hundredth.

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A: We have to find cylindrical form of the given equation.

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Q: : / (12t³ – 12t² - + 7)dt Evaluate:

A: Solve the definite integral

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A: Given problem:- Find the maximum rate of Change f(x, y) = xe-y at point (2,0)

Q: Integrate the following problems. fe (2x +7)dx 7.

A: Consider the integral  ∫ex2x+7dx

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Q: Eva luate the Following limits 2) lim x-74 X2-X-12 *-1 s.) limx->4 *2+x=2

A: To evaluate the following limits.2 limx→4 x2-x-12x2-x-203 limx→1 x-1x2+x-2

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A: This question can be solved using the concept of line and plane in three dimensional geometry.

Q: -dz 4.

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A: We can find the position function as below

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Q: Y = 1 - x², y = 2 + 2x, and y = 2– 2x

A: Let's find.

Q: Use algorithm to sketch the curve given by the function f(x) = 1 4 x +2x2 +1 [A:6] a) Determine the…

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Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

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Q: denote In°(x) dæ

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Q: 10. Find the average value of the function f (x) 1 = -x + Vx on the interval xe[0,8]. Graph on…

A: The average value of the function is given by;favg =1b-a ∫abf(x) dxTo plot the average function…

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: lim(10) 1. A. 11 B. 10 D lim(x² 2. 3x 1) A. 11 B 10 D. 25 3. lim A. 18 B. 17 C. 16 D. 15

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: 1+x3

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Q: In what way did theorems/techniques of antidifferentiation help you find the integral of a function?

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A: The region bounded by the given curves is:

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A: Since you have posted multipart questions i can do first three subparts as per our company…

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Q: Solve the following inequalities and write the solution in interval form i) 2|2x+7| +2 ≤24…

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Q: + 16)° dx

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Q: Evaluate: (12t - 9t2 + 7)dt 01

A: We need to evaluate : ∫0312t3-9t2+7 dt

Q: The antiderivative of the function 4 + 10x is. x2 f(æ) = 4 + 5.0x2 + c - -4 5.0x2 + c -10 + 2.0x2 +…

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Q: If the powers of both sine and cosine are both even, what trigonometric ifentities to be used as a…

A: I am attaching image so that you understand each and every step.

Q: Given the following matrices: 3 3 2 3 1 -3 0 4 1 A = 5 6 3 B= 1 2 C = ;C = 4 0-2 %3D %3D 3 2 -3 -1 2…

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Q: Q: Find the equation of the tangent plane to the surface:- z-Ln(xj) -x5J , atthe poit (7,4)

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Q: 8. Which of the following is the solution to the equation sin? x + 3sin x - 4 = 0 0° 90° + 360k 90°…

A: Topic = Trigonometry

Q: Consider the series ) an where n=1 (4n – 4)" - An %3D (2n + 4)2n In this problem you must attempt to…

A: the roots test ensure the convergence of series.