Evaluate

Q: Use the formula for the binomial series: mm-1)2 ** (1+x)" = 1+ mx + m( m1)---(m-k+1), k! + ... 1+ £=...

A: The given expression  1+x8

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

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Q: A B А - R B Matrix becomes C D с D-R

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Q: QJchange to Polar ( dxdy - Ji-y?

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Q: A. Let a(x) = x + 2 and d(x) = vx+5, find: 1. (d a)(x) 2. (d a)(2)

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Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the ...

A: Solution

Q: Find the derivative of the function y = cot^-1 x^2– cos^-1 (x + 1/x – 2). %3D

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Q: Find the radius of convergence and the interval of convergence. k(k + 4) Radius of convergence: Inte...

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Q: Question 4 is not smooth. Assume b=11. Find the value of a at which the plane curve traced out by th...

A: Let's find. 

Q: antl to determine if the sequence ne"} is strictly increasing or strictly decreasing. an Use the rat...

A: Ratio test:

Q: Use the formula for the binomial series: m(m-1).(m-k+1),k + ... m(m-1). 2! (1+ x)" = 1+ mx + = 1+ E=...

A: Put m=-3 in binomial series. And follow step 2nd . 

Q: Verify that the indicated function is an explicit solution of the given differential equation. Assum...

A: Given:     y''-6y'+25y=0     y=e3xcos4x      y'=ddxe3xcos4x  Apply the product rule: ux·vx'=u'x·vx+u...

Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: The given quantity is  sin(2π-x)

Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

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Q: 1. Find the y" of y = (4x - 3x + 1) (5x + 7) 2. Find y" given y = cosx + sin 3x 3. Find all the deri...

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Q: 4k? – 2k + 6 8k7 + k – 8 O The series converges. O The series diverges.

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Q: Score Grade/Section: Date 13. What is the solution of the inequality? A. x > -1 or x 1 or x -2

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Topic:- sequence and series

Q: Solve the given diffe rential equation by using an appropki ate subrh tution The DE is a bernoulli e...

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Q: Find an explicit solution of the given initial-value problem. 1 V1-у? dx - V1-x2 dy — 0, У(0) y =

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Q: Use the formula for the binomial series: m(m-1)..(m-k+1). k! m(m-1) (1+ x)" = 1 + mx + oDx? + ... + ...

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Q: Write the first five terms of the sequence: +o0 {Vn? + 7n – n}n 1 Determine whether the sequence con...

A: The given sequence is {√(n2+7n) -n}.

Q: Question 15 Find the distance from S= (1,1,5) to the line L: x=1-t, y=2-1, z=31.

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Q: -dz :+ 5: + 6 2

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Q: 8. A 1.25 acre lawn is to be sodded with 'Cavalier' zoysiagrass, which can be delivered at a cost of...

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Q: 8. . cos?rsin®x dx. COS 프2

A: Product Rule of integration : ∫u.v dx = u∫vdx -∫(dudx∫v.dx)dx dsin(x)dx=cos(x)  and dcos(x)dx=-sin(x...

Q: ) de 1 cos330 cos830. sin³30

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Q: II. For each of the following functions, find the indicated derivative using the definition. Show so...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Find the fourth derivative of the function f(r) r - 32+ 2r3- ² + 4x- 10. 4. Find the first and secon...

A: find the derivative

Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)

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Q: 8. 27 n=3

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Q: Use the limit comparison test to determine whether the series converges. Σ 3k +4 k=1 The series

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Q: 1 :dx J xV16ln² x – 9

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Q: Sy*ezdy

A:     ∫ y4ey2dyLet u=y2.=∫ 32euu4du=32·∫ euu4du=32u4eu-∫ 4u3eudu=32u4eu-4u3eu-3u2eu-2euu-euSubstitute ...

Q: +00 {a,} an+1 Use the ratio to show that the given sequence {a,} is strictly increasing or strictly ...

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Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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Q: Use sigma notation to write the Taylor series about x 8 for the function. %3D 1 x+ 4 Σ

A: The given function is: f(x)=1x+4 To find the Taylor series about x=8 for the function. For that the ...

Q: 1.(Easy) In determining the integrating factor exp(S p(x) dx) for the first-order linear ODE y' + p(...

A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

Q: Find the indefinite integral. x2 + 8x + 5 x3 + 12x² + 15x + 6 xp

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Q: Evaluate using wallis formula and text/upload your solution on the space provided. 1.) sin'xcos'x dx...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

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Q: df Q4) A) Find dx by using chain rule if f = , u=-1 , x=-1 u+1 B) Evaluate the following integral: S...

A: A) To find the derivative of the given function f=u-1u+12 with u=1x2-1

Q: х3(1 — х)8dx

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Q: 12x Ja +9)6 dx

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Q: 3.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it....

A: As per our guidelines we are supposed to answer only one question i.e. the question no 3)a). For the...

Q: Find the distance from §= (1,1,5) to the line L: x=1-1, y=2-1, z=31.

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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: x+1 For the function g(x) = , 2 a. Determine the equation for any vertical asymptotes, if there are ...

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Q: n 5n (2)En=1' 2n

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