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Q: x' - 36 lim 6 x+6 Vx+11-4 lim x-5 lim- 2 2-x x² +6x+9

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Q: y' + y = 5 sin(2x)

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Q: 3. Evalnate. the. following.double.intagrals.by.comverting to Polar.Caa.r.dinates. 2 2 Anse. T(e-1) ...

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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: (*y3 - ) + y² = 0 1 1+9r

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

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Q: Questão 2 Check thatF(x, y) = (ez+y – y2 – cos(y))i + (ez+y – 2yx + xsen(y))j is a conservative fiel...

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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

Q: Use any method to determine whether the series converges or diverges. 00 (6k)! k=0 O The series conv...

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Q: A diver launches themselves off a diving platform into a pool. The height, in metres, of the diver a...

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Q: B. Directions: Expand t Scoring Rubric: 3- The final ansv 2- The final ansv 1- The final ansv 0- No ...

A: = (12q+4r)12  Binomial Expression:(a+b)n =∑n=0nni a(n-i) bi(12q+4r)12:  a=12q, b=4r=120(12q)12-0(4r)...

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

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Q: Determine whether the alternating series coniverges. 5ln k k k=3 O The series diverges. O The series...

A: Here, the given series is: ∑k=3∞(-1)k5 ln kk which is the alternating series with bk=5 ln kk; k≥3

Q: A partide moves according to a law of motion s- ft), tza, where t is measured in seconds and s in fe...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

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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: 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: sin(In x) In(sin x)" Use Squeeze Theorem to evaluate lim

A: limx→ 0+sinlnxlnsinx

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 Pa(x) =

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Q: 2. Find the derivative of f(x) 3. Calculate the derivative of f(x) 2a-4+-3

A: Topic:- derivatives

Q: Find dy/dx 1. sin^−1(xy) = cos^−1(x − y) 2. sec^−1(2y cos x) = x^y

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Q: Question 1 dx The integral can be re-written as A lim (-1+2 y 1-m m - 0 B none of the choices lim (2...

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Q: Please see the attached image to see the given. thank you  (a.) the critical numbers of f (b.) all ...

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

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

Q: b. Recall that f(x) = 2*-1-1. Graph of fi(x) = f(-x) + 2, f2(x) = f(-x+1) + 1, and fs(x) = f,(x) + f...

A: The given function,          fx=2x-1-1

Q: Explain briefly why the function f(x) = e" – x³ – 8 eIntermediate Value Theorem. Use IVT to show tha...

A: We will use the Intermediate value theorem. 

Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

Q: Prove that the function z is continuo:as everywhere but nowhere differentiable except at origin.

A: The given problem is solved below in detail.

Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 p) | If Ax = 0.005, Ay ...

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Q: Use any method to determine whether the series converges or diverges. (k!) Σ (6k)! O The series dive...

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Q: (a) Every power series converges somewhere. O True O False

A: ## According to bartleby guidelines we supposed to do the first one of multiple questions kindly rep...

Q: A. Consider the following conditions to find the equation of the line. Express the equation in gener...

A: Dear user, According to bartleby guidelines when student post multiple subpart question then expert ...

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: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

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Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3)

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Q: Question 5 5 Given: dx. Using u-substitution and transformation of integrand, what is u and du? 3/x ...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)² f(x) = Σ

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Q: A closed right circular cylindrical tank is to have a capacity of 128??3. Find the dimensions of the...

A: Volume of cylindrical tank is 128π m3.

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: topic: calculus of polar curves 1. Find the slope of the curve r = 2cos 4Ɵ 2. Find the slope of th...

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Q: Answer the question below: Given: Let h(x, y) = In(xy² + 3x). Suppose k = h(x, y), where x = a² + b*...

A: Given K=h(x,y)=ln(xy2+3x)where x=a2+b4 and y=a2b6+3a  

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel. |

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Q: Solve the following ODE. y" + 2y" – y- 2y = 9 - 123 NOTE: Write arbitrary constants as c1, Cg, and c...

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Q: Determine whether the series converges. k=1

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Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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Q: x²dx S: 1. 4 – 3 x' dy 2. V16 + y²

A: Let I=∫x24-x2dxI=∫x222-x2dxPut x=2sinudifferentiate dx=2cosu.duI=∫22sin2u22-22sin2u2cosu.duI=∫4sin2u...

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) п %3D 4, с %3 3 2(х - 3) + 1(...

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P ,Q(5, 6) and...

A: The solution is given in the next step.

Q: is a function given by 2r2 + 3r +2 g(x) • 1² +2 bounded for all |r| 52. finition, show that f(x) = 3...

A: We have to show that the given following conditions according to the given information