Question 9 5x2 tan( 3x) dr. ifu=3x*, then the resulting integral is SFlu) du. Find Given: A 18 none of the choices 5/2 18 5/2 D 18 (E 9.

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Q: 1 Given f(x) find the average rate of change of f(x) on the interval [9, 9 + h]. Your answer x + 10 ...

A: Given:      f(x) = 1 / (x + 10)   Interval : [ 9 , 9+h ] 

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: 1. y = xsin(x + A) 2. y = C,sin3x + C2cos3x + x² – 9 3. y = 3Asinx – 2Bcosx

A: Please see the below picture for detailed solution. 

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Q: 3. (2y? + 3xy -2y + 6x ) dx + x(x + 2y - 1) dy = 0 ans. x? ( y + xy-y +2x) =

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Q: Which of the following integrals represents the length of the curve y = cos(x), 0 < x < 2n? А. 1+ si...

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Q: Since the birth of his granddaughter, 19 years ago, Cameron has deposited $200 at the beginning of e...

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Q: Watch the video on partial fractions with a repeated irreducible quadratic factor e and thevideo on ...

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Q: A college wants to provide students with a perpetual scholarship of $3,000 at the end of every quart...

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Q: Find the arc length of y = 7r +1 over the interval [0, 2]

A: y = 7r + 1 arc length=∫02 1+(dy/dr)2dr dy/dr = 7' arc length=∫02 1+(7)2dr arc length=∫02 50dr arc le...

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Q: Video Example Find the linearization of the function f(x) = Vx + 1 at a = 3 and use it to approximat...

A: Linear Approximation , L(x) = f(a) + f'(a) (x-a) If f(x) is concave up in some interval around x=c ,...

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Q: Solve. Vx-9 + /x+6 = 5 Select the correct choice below and, if necessary, fill in the answer box t

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Q: Solve for the 35th term, 40th term, 47th term, and 49th term of the Fibonacci sequence. Show your so...

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Q: This problem is about evaluating the integral V2/2 1 dx - x2)3/2 (1 – To start, one would make a sui...

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Q: 2. Find the following limits: Ve? +9 –3 b) lim x' +2x –1 a) lim x→-2 5-Зх

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Q: To find the length of the curve defined by y = 5x° + 8x from the point (-1,-13) to the point (2,56),...

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Q: I = 2т dxdydz Is

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Q: Find (f -g)(x). f(x) =x² +3, g(x)= V5-x

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Q: Evaluate S(3) if S(r) = 4xr².

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Q: d y Find dr? - for x* + y* =16. Express your answer in fully simplified form.

A: topic - double derivative of a function

Q: Question 10 cot (2x) Evaluate the integral Vcot (2x)- 15 cse (2x) A) --Arcsec 4 4 cot (2x) B) Arcsec...

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Q: Topic: Integration by parts. Evaluate the integral.  Given:  ∫ x tan−1 x dx

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Q: (a.) the critical

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Q: Use sigma notation to write the Taylor series about z = 1, for the function. 3 In z; z9 = 1 k =

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Q: Evaluate the indicated function for f (x)=x²+6 and g(x)=x-5. (f/g)(-4)-g(6)

A: Given query is to find indicated function.

Q: Answer the question below: Let c be a differentiable function of a and b that satisfies the equation...

A: Given,            Let c be a differentiable function of a and b that satisfies the equation below.  ...

Q: 4. f(x) = (Vx)(x² – 2x) %3D 5. y = (x + i)(x² – 1) %3D

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Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) : = 1 and f'(0) = 3, f...

A: Given, g(x) is inverse of differentiable function f(x). f(0)=1 f'(0)=3

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A: Given query is to find thw interval where function is increasing and decreasing.

Q: AY 165- P(1.5, 132) The tangent line to the graph of f(x) at the point P(1.5,132) is shown to the ri...

A: The given point on the curve f(x) is P(1.5,132).