Which of the following is not true about the curve described by the following parametric equations? A. The curve is closed. B. The curve is smooth. C. The curve is simple. D. None of the above

Q: 2n+1 5. Σ 'n°(n+1)² n=1

A: let  bn=1n3∑n=1∞1n3    is convergent   by p series  Recall ∑n=1∞1nP    is convergent  iff p>1

Q: dx Using Trigonometric Substitution , find f(e) !! (x2 + x + 1)2

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Q: 2x2+x - 1 Evaluate -dx using method of partial fractions. Which of the following is the correct form…

A: We can proceed as follows

Q: |v|dt. Then find the Find the arc length parameter along the curve from the point where t= 0 by…

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Q: e2 and x e*. Find the area below the curve f (x) = between x = %3D x In x

A: The region is bounded by the curve f(x)=1x lnx between x=e2 and x=e4

Q: Difference of quotient for 1/(x+4)^2

A: The given function,       1x+42

Q: Using Integration By Parts, x Arcsec 3x dx = u v - Jv du - iv- Svau. Jv du. Find uv- o Arcsec 3x -…

A: Given: ∫x Arcsec3xdx=uv-∫vdu   ......(1)   As we know that; The chain rule; fgx'=f'gx·g'x The Power…

Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

Q: local

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Q: Write a in the form a = a- T+ anN at the given value of t without finding T and N. r(t) = (t + 5)i +…

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Q: Performance Task Determine the antiderivatives of the following 1. sec24x dx 2. [(tanx – 1)²dx dx 3.…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: 2x4 +3x2 - 1 Rewrite -dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)?

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Q: dx 4 -sin e+C Using Trigonometric Substitution - = , express the answer in terms of x. (x² + x + 1)…

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Q: x³ + 6x² + x +2 dx? How many quadratic and distinct factors are in the denominator of x³ +1

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Q: 3x2+ 8x – 12 3. -dx. Use partial fractions. x3+7x2+ 12x

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Q: Find the sequence of partial sums S,, S2, S3, S4. and S5. 7 7 + 4 7 7 Σ = 7+ - 1 16 64 256 n = 1 S1…

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Q: d²y -=6- 9x and which passes through the points (0, – 1) and (2, 3)- dx2 Find the equation of the…

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Q: A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. Find the height and radius…

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Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 31.…

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Q: V x2 + 4x – 5 dy using Trigonometric Substitution find x- Consider x+2 O -2+3 sec e O 3 sec e sec e…

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Q: dx Using Trigonometric Substitution J- 3 sin e+C express the answer in terms of x. (x² + x + 1) 2 4x…

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Q: Find the partial derivatives of the function V1r2 + 1s² + 6r² w =

A: Given,  w=1r2+1s2+6t2

Q: Using Integration By Parts, dx =uv- v du v-Svau Find 6 x2 e dx 1 dx x3 dx - °3 x? e* - хе dx

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Q: Find the indicated derivative in each using three-step rule. 1) f(x) = x² – 4x +3; f'(x)

A: Solution: As per our guidelines, we are supposed to answer only? One question ( if there are…

Q: S****2 x² + x +2 Evaluate x2 – 1 x+ In- (x – 1)2 +C x+1 x+1 x+ In- (x- 1)2 +C x+1 In- +C (х-1)2 о.…

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Q: Consider the indefinite integral (22 da: (z – 2)* 3)2 This can be transformed into a basic integral…

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Q: TRUE OR FALSE. Consider the parametric equations of a cycloid given below. Its length of arc is…

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Q: Find the function f(x) such that f''(x) = 6x + 3 cos(x), f(0) = 5, and f(1) = 2 − 3 cos(1).

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Q: S° g(t) dt

A: From the figure, we know the following. ∫010g(t)dt=Area of the semi circle - Area of the triangle…

Q: Question 7 15х2—х3— 43х — 19 Ax+ B C D -dx can be rewritten as dx. The integral + + (x+1)2(x2– 6x…

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Q: Find the area of the surface. the part of the surface z = xy that lies within the cylinder x? + y² =…

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Q: x2-y는 군.Give the spherical coordingtes.

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Q: Scots x csc?x dx esc" x - csc", -7csc x + 5csc esc" x +csc" x -csc? x + C x csc³x 1 X + c³ x + C 1 1…

A: Solve by integration method

Q: 9-x2 dx. - х x2

A:

Q: TRUE OR FALSE. The parametric curve x = f(t), y = g(t) has a vertical tangent line at a point where…

A: The parametric curve x = f(t), y = g(t) has a vertical tangent line at a point where t = 2 if f'(2)…

Q: 5x dx? x3 + x2 +4x+4 How many quadratic and distinct factors are in the denominator of

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Q: 2x4 + 3x² – 1 (x² – 4x² +5x)? B(2x- 4) + C Rewrite dx as integral of sum of partial fraction D(2x-…

A: Here we have to apply partial fraction.

Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A: We can solve as follows

Q: Compute the following values for the given function. f(x, y) = 4x + 2y – 5 f(0, 0) = f(1, 0) = f(0,…

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Q: 5x |(x²+ a) The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers. What…

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Q: .4 V x2 + 4x - 5 Consider dx using Trigonometric Substitution find x- x+2 3 sec e -2 + sec 6 sec e…

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Q: Consider (2x2- x² + x +2 x4 + x3 C D B + dx = dx find A+B+C+D- + x+1 O 3 O 2 O 4 O 5

A: Topic:- partial fraction

Q: 4 x² + 4x - 5 Consider using Trigonometric Substitution find x . x +2 sec e O 3 sec e O -2+ sec e O…

A: We have to choose the correct option from the given options according to the given information

Q: sec(3r2 + In 2) evz+2 +9 a. y =

A: Use simple differentiation formula.

Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

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Q: Evaluate csc°(3x)dx cot*(3x) cot (3x) cot(3x) + C 12 2 cot°(3x)_ 2cot³(3x)_ cot (3x) +C 15 9 O…

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Q: Evaluate the integral cot5 x csc3x dx O Lesc" x - ese" x + cse" x - c 2 csc' x + 5 글csc3 x + C 1 X +…

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Q: Evaluate the definite integral. sin(4t)dt

A: Here is the solution:

Q: 2. 2Сy — У(х-1) dx

A: