Use Pascal's triangle to expand (2x+3)6 Use Pascal's triangle to find the first three terms only of this expansion: (4x+5n)8

Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

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

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Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the ...

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And, ∇×F=ijk∂∂x∂...

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

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Q: lim

A: Put x=0 this is not a indeterminate form. 

Q: Determine whether the series converges. k=1

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Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1' Pa(x) %3D

A: Maclaurin series is given by f(x)=f(0)+xf'(0)+x22!f''(0)+x33!f'''(0)+x44!fiv(0)+.... Given f(x)=2x-2...

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

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

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x) =

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Q: Cos (Jx) dx

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Q: 30 3 120 x f(x) = 2x-3 X + 1 n = 4 3 Pa(x) = 3 1+ x -x+x -3+ 5z- 522 +5-54 | Solution or Explanation...

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Q: 1. J sec x csсх 2. S sin*x dx 3. S e2*(Vx + 1) dx

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Q: dy 2. V16 + y²

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Q: By using the definition of the derivative, find the equation of the tangent line to the graph of fix...

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Q: ry' – y = x²e=z

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Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

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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: Question 2 du where u= {(x) and for some constant, k. Compute /\2). The integral reduces to e + 1 A ...

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Q: The sequence

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Q: 5x? tan( 3x³) dx. fu= 3x³, then the resulting integral is f(u) du. Find A Given: 4 A none of the cho...

A: Topic:- application of integration

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1...

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx  

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: V5x2 - 3 xdx. If we let u= 5x² - 3, which of the following u-substitution formula is applicab...

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Q: x2+ Consider dx. (x8 + 8x³ + 16x²) 2 Using u-substitution and transformation of integrand, then the ...

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Q: A company that manufactures small canoes has a fixed cost of $20,000. It costs $100 to produce each ...

A: Follow the procedure given below.

Q: х — 2 1. f(x) (2? — х + 1)2

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Q: dw dw dw In each of the following, find dr' ds and Ət using the Chain Rule. 1. w = xy + yz +xz; x = ...

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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: Sow) du. #glu)- u+1 Using u-substitution, the integral reduces to a new integral evaluate the new in...

A: Topic:- integration

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

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Q: Determine whether the series converges. k=1

A: We use limit test to find convergence or divergence of given series. Follow 2nd step.

Q: 3. Find dx dy d²y and y 1+t and if x = %3D dx2 1+t

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Q: Let 5n2 + 14n bn 3n2 an = 3n4 - 5n2 - 19' Calculate the limit. (Give an exact answer. Use symbolic n...

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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: (т — 3)" - Determine the interval of convergence of 2n +1

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Q: Find: 6x 3x2-7x+4 dx ---

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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: a tivb where a, b and c are integers and Solve the following equation, glving the complex roots in t...

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Q: Tauluole bnn vle Question 1: Find 2Ã – 3B, |2Ã – 3|, JÃ\, \B|, 2|Ã| – 3||\, where Á = and B = %3D

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (7.),qs Q(5,...

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Q: When is an equation considered as a solution of  differential equation?

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Q: Which of the following is the general solution of the DE: у" - 36у %3D0? Select one: o y=C,+Ce 36x -...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Explanation of the answer is as follows

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: State whether the following series is Convergent or Divergent. n=1 O Convergent O Divergent iM:

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Q: f(x) = 3√3x^2 + x + 1  (a.) the critical numbers of f (b.) all relative extrema of f (c.) the inter...

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

Q: 4. Convert SInciag) dA. aver. the region.<xyke. 2 2. .... to..pola.form. nd. then.evaluate.it.. 1/2 ...

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