2. f(x) = Va +æ + 1

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

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Q: 3. Suppose that z = f(x, y) is a differentiable function with respect to variables !! x and y and is...

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Q: /1 + dt and g(y) f(x) dx, find If f(x) g"(T/6).

A: We have to find value of g"(π/6)

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A: The given sequence is; {an} = n/(3n-2).

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h0 f(...

A: Given: f(x)=x3

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Q: Use Pascal's triangle to expand (2x+3)6 Use Pascal's triangle to find the first three terms only of ...

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Q: /atch the video on the improper integral 1/x^2 2 and the video on the nproper integral 1/x 2 before ...

A: We use the formula integration of ex dx=ex.

Q: 4. y = 2 -10x 5. y = 88 8x + 888 6. y = 2021 7×^6

A: According to our company's guidelines I can only answer first three subparts of the question since y...

Q: Given: / 5x2 tan(3x³) dx. Ifu=3x°, then the resulting integral is Jf(u) A B none of the choices 5 18...

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Q: Express the repeating decimal as a fraction. 0.2715 25 25 25...

A: The given number,    0.2715252525........

Q: Use any method to determine whether the series converges or diverges. (k!)° (9k)! O The series diver...

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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: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x 1 f(x) = 1 +-...

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Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

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Q: 6. Consider function f(x, y) = x + y – 4ry + 1. Compute all the critical points of the function, and...

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Q: Differentiate the functions by using product or quotient rule. a) f(x) = (1 – 3x?)• e Зx+1 b) f(x) 2...

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Q: dx Given: - 06-2x. Using u-substitution and transforming the integrand, find du. A 14e2xdx B 18e-2xd...

A: Given:  ∫dx7-9e-2x To Find: By using u‐substitution and transforming the integrand, to find du.  

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: ∑k=0∞78k+2

Q: Is the given series divergent or convergent? +oo 1 Σ 4n2 - 8n +3 -

A: Limit  Comparision Test :Suppose ∑an and ∑ bn are two positive term series and                limn→∞...

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log , 7x² 5. y = - 5 log , (1...

A: As per our guideline we solve only first three parts

Q: What is f'(x) given the integral function f(x) = cos(e“)d u? %3D O rm = 3x cos(e) O f'(x) = 3x cos O...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 4 %3D P4(x)...

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Q: Using u-substitution, the integral f(x)dx Srwax u+1 reduces to a new integralg(u) du. If g(u) = , ev...

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Q: 8. What is de x2+1

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Q: Find the percentage error in computing u = Vx at x = 2.45, when x is 4

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: (d) The function k(x)is defined as follow: 3 x+ 17 -- 4 k(x) = { 2, x =1 5|x-1| x² -1 x>1 Discuss th...

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Q: Determine if -1 CSC if 0 1 is continuous or not at r = and 1. If it is discontinuous, identify the ...

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Q: When the numerator has a higher degree than the denominator, we have to start with long division. Af...

A: It will be covered in step 2.

Q: Use the binomial series to find the Maclaurin series for the function. f(x) =  1 (1 + x)3

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Q: A consumer has utility function xy u(x, y) = x+y

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Q: an+1 to determine if the sequence {ne" } is strictly increasing or strictly decreasing. an Use the r...

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

A: topic - rational numbers

Q: the weight of an object to its volume. re Density.

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Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

A: Slope of the tangent line of the function f(x) is the derivative of the given function . f'(x) = lim...

Q: -1-0. 1) Write f(x). 3) Find D & R 4) Sketch f(-3t+3) 5)Find D & R for the function of point 4 2)Fin...

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Q: Watch the video on partial fractions decomposition with linear factors before answering the question...

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Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

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Q: In general, a partial fractions integral with a repeated irreducible quadratic factor will result in...

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Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3Vx - 2x A) u = ...

A: The given integral is 5/[3√x -2x].

Q: The graph shown is f(x) =/x. If g(x) = f(t)d t, find g(4). AY 3.6 2.4- 1.2t + -1 0 3 4 6 O g(4) = %3...

A: The detailed solution is given below Thank you 

Q: Situation 3: Find the area enclosed by the graph of the curve x^2+8y^2+16 = 0, the x-axis, the y-axi...

A: according to our guidelines we can answer only three subparts, or rest can be reposted.

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

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Q: Direction: Provide what is asked in each item. 1. For what value of a does the limit of the piecewis...

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost ...

Q: tan²(x – 2) +2 sin(x – 2)4 Evaluate: lim

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Q: у %3D Зx5 — 15x4 + 20х3 + 3 -

A: Given : y=3x5-15x4+20x3+3   To Find : x &amp; y- intercept of the given graph

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

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Q: / 5x? tun(3x) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find f Given: 5/2 A 18 B none ...

A: This question can be solved using the concept of substitution as used in integration.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) = %3!

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Q: Evaluate the integral 4x4- 12x2 +7 xdx.

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