k-1 Since the series can be rewritten in the form > 4- (). it is a geometric series with: k=1 a =

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A: Find your answer below 

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A:

Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

A: Activity 3.2:Slope of the tangent line to the curve y=f(x) at(x0, y0) is given by dydx(x0, y0).y=4+2...

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Q: Find $Y if y = x-3 x -7 ond X=2++1 %3D

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Q: (a) f(x) = 1 – 1; I =[-2,2] (b) f(x) = I = (1,5)

A: We will find if the given function is continuous. 

Q: Lesson 3.1. Slope of a Tangent Line to a Curve Activity 3.1. Find the general equation of the slope ...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: determine the vatie 84 + 5C of 206 90 12

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

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Q: If f(t)=2t+sin(t) describes the length of an oscillating spring in m/s, what is the instantaneous ra...

A: Solution is written in below steps.

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A: The given question can be solved as shown in step2

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Q: Integrate S (a?- ) dv ; where " a" is constant O = - + C 3 =-{ (a? – v²)* + (a? – v²)* + C O = (2? –...

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Q: 1. Suppose y is a function of r. Find y' given cot-y+ tan-y. 2022 2. Evaluate liml-++∞ (1

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Q: If Y=tanx prove that %3D2

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A: Using trigonometric find horizontal and vertical components

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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: find the nth Maclaurin polynomial for the function in sigma notation. 11 cos(Tx) po(x) : P1(x) : P2(...

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Q: Show that the sequence +o0 is eventually strictly increasing or eventually strictly decreasing. an+1...

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Q: 1) Suppose that the population of rabbits on an island is growing exponentially, following P(t) = Po...

A: Given that population of rabbitspt=p0ekt  p0=250and at t=2 years p2=1200  1. pt=p0ekt1200=250e2k4.8=...

Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the na...

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: f(r) Find g(3) given that f(3) = -6, f"(3) = –4 , and g(x) = %3D 8 Answer: 5

A: Given g(x) = f(x)xf(3) = -6f'(3) = -4 

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

A:

Q: Using integration by parts and taking a > 0, the integral S x In(ax)dx is equal to:

A:

Q: The graph of f(x) is given by (-1,4) (1, 4) (-1,–2) (5, –2) (3,-4) (4, 5) Determine if f is continuo...

A:  Graph of the function is given, we have to find the function is continuous on the given intervals.

Q: Assume that the sequence shown below converges and find its limit. Võ, J8 + V5, 8+ /8+ võ 8+ /8+ /8+...

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Q: The roller coaster rides at Math Games are all shaped like trigonometric functions. Dan goes on the ...

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

A: Explanation of the answer is as follows

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

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Q: y – y = e3t y(0) = 1

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

A: By using the definition of Taylor series to find the Taylor series centered at c for the given funct...

Q: (y-2)(y²+4) 4. S x3-x2+1 dx (x²+2x+2)2

A:

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π4)=

A: Topic:- application of integration

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A:

Q: 4. Assume y(x) = eaª cosBx is one of the solutions of the DE y(3) – 3y" + 7y - 5y = 0. Then α+β= (A)...

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Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle betwee...

A: 1) (1,2,3) and (1,0,0) angle cosθ = A*B/[A][B]            cosθ = (1,2,3)*(1,0,0)/(12 + 22 +32)(12 + ...

Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

Q: Find the maxamin s in flectlon Points and the in ter Vals on which the function inerease,decrease co...

A: follow the solution which is mentioned in step 2.

Q: Lograithmic Function Give 3 examples with solution and final answer. Make sure it is unique and not ...

A: To Solve Logarithmic Functions To solve the logarithmic functions, it is important to use exponentia...

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

A:

Q: Order the following points by their distance to the point (1,1,1) starting with the closest point. (...

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Q: Evaluate te following inte rau cos @ do sin@

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Q: Find the max emin, nflection Points and the in ter Vals on which the function iiHereaserdecrease con...

A: Given query is to find the the key points of the function.

Q: Test the series for convergence or divergence using the Alternating Series Test. E(-1)"- + 5 n=1 Ide...

A: