Question 2 12x +1 dxp. (2x- 1)2 (3x + 2)² Evaluate:

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Q: 1 and b, = n2 Let a, = A- 2 Calculate the following limit. an lim bn (Give an exacanswer. Use symbol...

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Q: A ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meters above the groun...

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Q: (e) Every function f defined on (-0o, 0o) that satisfies the condition that lim f(x) = lim f(x) = ∞ ...

A: Critical points, continuity and differentiability

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Q: For each problem below: a) Determine the indefinite integral (do not include the "+c" and do not inc...

A: a. ∫4sinx+7cosxdx=4-cosx+7sinx=-4cosx+7sinx

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Q: ich it is decreasing. Then sketch a graph of the function. f(x) = -x³ +9x? escribe any relative extr...

A: Topic:- calculus

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

A: The given series is ∑k=0∞78k+2. We have to check whether the series converges. To check converges we...

Q: 4. if x^3+y^3=2 find the value of (d^2y)/(dx^2) at the point (1,1)

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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: Find the area of a triangle with the given description. (Round your answer to one decimal place.) a ...

A: area of triangle

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A: Given query is to find the the price for greatest return.

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

A: derivative

Q: dx du Sk , where u= f(x), and for some constant, k. Compute. f(2). The integral reduces to ex +1 e +...

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Q: 10" (2n)!

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Q: Question 15 Evaluate the integral V4x 4x4 12x2 +7 xdx. (4x* – 12r?+7) /2 +C 24 B(2x-3)/4x4- 12x2+7 +...

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Q: Watch the introduction to partial fractions video 2 and the video on repeated linear factors e befor...

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A: f(x) = 16 ln(1+x)f0(0) =16 ln(1)f0(0) =0f1(x) =f'(x)=16x+1f1(0)=16f2(x) =f''(x)=-16(x+1)2f2(0)=-16f3...

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: The height, h (in feet) of a model rocket launched from the roof of a building at t seconds is given...

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Q: If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+1) + C, find the exact value of k. 1 (A) ...

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Q: Find f'(x) for f(x) = (x² +4) sec(x) f'(x) = x^2secx+tanx+4secx tanx+2x secx %3D

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Q: The function f(x) = Vx – 2 + V4 – x is increasing on (-∞, 3) and decreasing on (3, co) increasing on...

A: graph of the function is - 

Q: Find the total differential dw. 5. w = x tan¬ y – 2ªyz

A: The objective is to find total derivative dw.

Q: Evaluate the integral. x² + x + 1 dx Jo (x + 1) (x + 2)

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Q: Use the formula for the binomial series: (1 +x)" = 1+ mx + + + -1) %3D = I+ Ei to obtain the Maclaur...

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Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

A: This question can be solved by using rate of change of physical quantities.

Q: Write the partial fraction decomposition of the rational expression. 5x-3 X- 4x-5 5x -3 %3D 2-4x-5 (...

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Q: Differentiate. f(e) = e cos(e) sin(e) f'(e) = Nood Holn? Rend It

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

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Q: The number of lumens (time rate of flow of light) L from a fluorescent lamp can be approximated by t...

A: QUESTION- The number of lumens (time rate of flow of light)L from a fluorescent lamp can be approxim...

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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Q: 1.3(5x - 2)dr Sr -4x+ 3

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: Use the formula for the binomial series: (1 + x)" = 1+mx+ + 21 = 1+ £in to obtain the Maclaurin seri...

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Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 8x ln(x) + 9 and inte...

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Q: Use substitution to evaluate the integral in terms of f (x), assuming f (x) is never zero and f' (x)...

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Q: Ariel obtained a business loan of $235,000 at 4.52% compounded semi-annually. a. What was the size o...

A: topic- compound interest

Q: Find the derivative of f(x)=8x - 5x+2 using first principles (i.e., use the definition of the deriva...

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Q: 3x -dx be given. If 4=e*+2. then the resulting integral is f(u) du.compute f (3). e* +2 Let 2 (A 3 B...

A: We have to find value of f(3)

Q: Q4) Prove that 1- Cos +x) = sin x, 2- (sin x +cos x) sec x see' x

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Q: x2 dx. Which of the following options is correct? 00 Consider 9+x6 00 Arcsin 9. + lim - Arcsin 3 A l...

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Q: Question 12 For the following function , find the equation of f-(x) and hence show that f({=}) = f (...

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Q: Calculate F. dS where F = (3xy°, xe", zª) S is the surface of the solid bounded by the cylinder y? +...

A: Let's find. 

Q: Solve. 5x-8 2 ... Select the correct choice below and, if necessary, fill in the answer box to compl...

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Q: Question 7 dx 7-9e-2x Using u-substitution and transforming the integrand, find du. Given: A 14e2xdx...

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Q: a. Write the linear system as a matrix equation in the form AX= B. 4 b. Solve the system using the i...

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