Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −6 such that an − 1 − an = 9 for n ≥ 1.

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

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Q: sin x dx TT cos2 x + e cos x

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A: Topic:- integration

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Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS

A: ddv1-2v1+v3  

Q: -) A) Find by using chain rule if f = ( , u = -1,x=-1 dx u+1 B) Evaluate the following integral: SV2...

A: This question is based on chain rule differentiation and indefinite integral.

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

A: ∑n=0∞ (-1)n+1 (n+4) xnan = (-1)n+1 (n+4) xn   limn→∞ an+1an < 1limn→∞ (-1)n+2(n+5)xn+1(-1)n+1(n+4...

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Q: solve the given differential equation by seperation oF values. dy y xy+4y-* -9 dx xy-Sy tx-5

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Q: Find the radius of convergence and the interval of convergence. k(k + 1) k=1

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 1 Pala) =...

A: Given,            fx=lnx , n=4 , c=4To find : The nth Taylor polynomial for the function at n=4, cen...

Q: 4. f(x) = e-x³/2 %3D

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Q: 2 2 x+y e to pday dyd x |-X

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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: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b. l...

A: To find out the limits.

Q: 2. Form the differential equation from the circle passing through the origin having their centers on...

A: This question is based on forming differential equation by eliminating constant.

Q: 3. The segment joining R(2, 3) and Q(6, 7) is produced beyond R to a point Po so that Po is five tim...

A: We want to find coordiante of p

Q: /2 1 - dx J7/3 1 + sin x – cos x 7. .

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: 9y+14 dy 3. Jy-2)(y²++4) (y-2)(y²+4)

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Q: 3. Find and and y= ivative of

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Q: sec ec-'(2y cos r) = x"

A: This is a problem of derivative of the given function. By using general formula of derivation we wil...

Q: 15. (a) If f(x) = V3 – x, find the inverse function f. (b) Sketch the graphs of f and f on the same ...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: A space shuttle carrying humans and science experiments contains an air ratio similar to (but not th...

A: To find: The volume of oxygen is in the space shuttle. Given information: A space shuttle carrying h...

Q: Evaluate the integral. 4 dx +C (1 – x2)ž NOTE: Enter the exact answer, without any trigonometric fun...

A: This question can be solved by the concept of integration by substitution(without any trigonometric ...

Q: Let y = f (x) be a function with domain all real numbers. It is known that f ′(x) = e^x(x −2)^3(x + ...

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Q: Imagine yourself as a teacher. Explain how the graph of the function f(x) = ax + b depends about dif...

A: Line

Q: Compute the multiplicative inverses of the following (if they exist) usin Using the Euclidean algori...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

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: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x ( then find the area o...

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Q: II. Answer the following ques 1. A window in the shape of a rectangle surmounted by a right triangle...

A: Given that the ratio of the height of the right triangle to the width of the rectangle is 5:12. Let ...

Q: 3. Find from the following functions: dx y = (12x + 2)(7x + 3)3/2 18+2x+7 y = (i) (ii) (3x+6)2/3

A: 3)I) y=(12x+2)(7x+3)3/2 ii)y=(18x2+2x+7)/(3x+6)2/3.

Q: The Differentiation to be made must be based on the following topics. - Product Rule Give 3 examples...

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Q: Solve the differential equation by integrating factor method, dy (x + 1)2+ (x +2)y = 2xe¬*. dx

A: Given,            x+1dydx+x+2y=2xe-x.To find : Solve the differential equation by integrating factor...

Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x +1 k =

A: This question is based on Taylor series Sigma notation.

Q: Determine whether the series converges. 1 Σ k + 10 k=1 The series eTextbo converges diverges

A: To determine whether the series converges.∑k=1∞ 1k+10

Q: Given the following graph, what is the exponential equation that relates the variables?

A: Here x = independent variable y = dependent variable k = y - intercept = ( 4.5 0.1) m/s2

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

A: We will check at each point of interval to determine the continuity or discontinuity.

Q: The Differentiation to be made must be based on the following topics. - Trigonometric Functions G...

A: recall: ddx(sinx)=cosxddx(xn)=nxn-1 Example 1: y=sin2x differentiating using chain rule dydx=ddx(sin...

Q: The solution of the Bernoulli's differential equation y + =y'x is: 1/y=-x+C (1/xy)3-x+C 1/(xy)^2 =-x...

A: The given differential equation is; y'+y/x =y2x

Q: aS) A Graph the curve Y=-2x (x - 4)x + 6)(N - 2) between the value of then find the area of the fini...

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Q: Vector A satisfies the vector transformation law, A'=SA. Show directly that its time derivative dA/d...

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Q: Use partial fractions to find the indefinite integral. 9 – x2 dx 5x3 5x + X

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Q: Find the radius of convergence and the interval of convergence. k(k + 10) k=1 Radius of convergence:...

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Q: Integrate تلد ا - تم( فیگ S (a² – v²) * 22)* dv where " a" is constant

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