1. Convergence of a sequence and its series. Given: 90 gn Determine: A₁ An = (a) whether (An) is convergent. 90 8 ↓ n=1 (b) whether {An}is convergent. If convergent, enter the limit of convergence. If not, enter DIY,

Q: Find the sum of the series M8 k=0 3(2k)-3 5k

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: according to bartleby guide line we do only first part of multiple questions.    f(x)=3x4+4x3-36x2…

Q: Convert the point (x, y, z) = ( − 4, 3, 5) to cylindrical coordinates. Give answers either as…

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Q: 3. Differentiate f(x) = cos³ (x5 + 4)

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Q: The formula A = 242e0.03t models the population of a particular city, in thousands, t years after…

A: A = 242×e0.03twhere, t is in years.              A in thousandtake, t = 0 in the year 1998

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A: The Hamilton Method sets the divisor as the proportion of the total population per house seat. After…

Q: Let F(t) = (-t² + 3, e-3t, - 2 sin(4t)) Find the unit tangent vector T(t) at the point t = 0 -

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Q: The function f(x) = 8x + 3x¯ maximum. This function has a local maximum at x = with value and a…

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Q: A homeowner wants to build a fence to enclose a 500 square yard rectangular area in his backyard.…

A: NOTE: Refresh your page if you can't see any equations. . x=length of the rectangle y=width of the…

Q: 1. What is a power series? 2. What is the radius of convergence (R) of a power series? 3. When…

A: Dear learner, As per our guidelines I can solve three subpart of a problem further can be reposted.…

Q: Find the orthogonal projection p of v = 6i + 5j + 9k on u = 2i + 10j + 3k. (Write your solution in…

A: Given that v=6i+5j+9k u=2i+10j+3k  Using Formula, If two vectors a and b then Projection of a onto b…

Q: Find the volume of the tetrahedron shown using the order dz dx dy. The tetrahedron is bounded by the…

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Q: Consider the following function. f(x) = 2x 1 - -10 X 0.5 0.9 0.99 0.999 y X 5 10 100 1000 -2 f(x) L…

A: We are given the function f(x)

Q: (3) Find the following limits In(x) x→0+ ln(1 + x) (c) lim ㅠ 70 (2 - arctan(e) (d) lim x X18 A

A: To find the following limits. (c) limx→0+ lnxln1+x (d) limx→∞ xπ2-arctanx

Q: Use logarithmic differentiation to find the derivative of the function. e-x cos²(x) 5x² + 7x + 9…

A: The function. y=e-xcos2x5x2+7x+9

Q: Approximate the area under the curve y = x³ from x = 3 to x = 6 using a Right Endpoint approximation…

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Q: Write the sum using sigma notation: A 1+2+3+ 4+.+ 105 = Σ B, where n=1 A B = Submit Question

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Q: Find the second derivative of f(x)=3x^(4)-5x^(3)+4x^(2)-x+8

A: given  f(x)=3x4-5x3+4x2-x+8 formula used (i) d dx(xn)=nxn-1(ii)  d dx(constant)=0

Q: Evaluate the limits u DR in words): ΔΔΔ Tim DX-40+ [(tan 2x)^ ] = 7.

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Q: It was discovered that after years a certain population of wild animals will increase at a rate of…

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Q: Locate any extrema of the function f(x) = 2x2". State only the EXACT x-value of th extrema.

A: f(x)=2x2x

Q: Find all the values of x such that the given series would converge. ∑n=1∞ 4^n(x-2)^n/(n+2)

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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 5- Evaluate S² St-*² 3r xe²y 4-y dydx dvdr

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 1 f(x): = x +…

A: By the answering guidelines of Bartleby, We can answer only first question from multiple question,…

Q: Σ(4) Does this series converge or diverge? converges diverges Given the series n-1 If the series…

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Q: Let 7 (t) = Find a parametric equation of the line tangent to r(t) at the point (157, 16,- 4.159)…

A: A line parallel to a vector v <a,b,c> that passes through the point (x1 ,y1, z1) is given as…

Q: (2) Σε i=5 ¹(¹7) = sin (b) Σκίτ (c) 24 = J=0 =

A: We have to evaluate each of the summation notation

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Σ(1) n=3 4 0.8n

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Q: The velocity of a car (in miles per hour) is given by v(t)=10t−5t^2 where tt is in hours. Write a…

A: v(t) = 10t-5t2 v(t) is velocity of car.

Q: Using the graph below, estimate the magnitude of the error in approximating sin x by x for -1.3 ≤ x…

A: We have to estimate the magnitude of the error in approximating sin x by x for -1.3≤x≤1.3.

Q: 11. Given the graph of f(x) below, describe the type and location of all discontinu 4 f(x)

A: Limit and discontinuity

Q: Wirte the sum using sigma notation: 1 1 + 1.2 2.3 A = B + 1 + 3.4 Submit Question 1 189 190 ΣΒ,…

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Q: 7.. State the first five partial sums of " mln+1 Show complete work.

A: Given that ∑n=1∞nn+1We have to find first five partial sum

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Q: What is (5)^3/3-4(5)

A: (5)^3/3-4(5)

Q: Volume. Find the volume of the solid obtained by rotating the region bounded by y = 8, y = 0…

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Q: Let F(t) = Find a parametric equation of the line tangent to r(t) at the point (13, 126, 12.425)

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Q: Determine the equation of the line perpendicular to the tangent line to the function y = ecosx at…

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Q: What is the second portion to the question ?

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Q: Question 2: The position of a particle moving on a line is given by: s(t) = 3t³ — 4t² + 30t, where s…

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Q: The following data represent the weight (in Candy Bar grams) of various candy bars and the…

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: Find the area under the graph of f over the interval [1,6].   ​f(x)= x+5, for x≤5 15−12x, for x>5…

A: find area of the given function over the interval [1, 6] .

Q: Find the volume of the region cut from the solid cylinder x² + y² ≤ 1 by the sphere x² + y² + z² =…

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Q: (a) Find the slope m of the tangent to the curve y = 5/√x at the point a where x = a > 0

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