determine the interval and radius of convergence 1 Z-3)2+"(n² + 1) (4x - 12)" n=0

Q: Solve the following linear programming problem. Maximize: z = 3x+8y subject to: 6x + 5y ≤ 30 10x + y…

A: Objective function: z=3x+8y Constraints:  6x+5y≤3010x+y≤30x≥0, y≥0   Now we have to find the…

Q: 8x³ + 4xy - y³ = 1

A: Given :

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A: Given, The directed distance d of the bee from its hive t seconds after it was released is given by,…

Q: Let C be the curve which is the union of two line segments, the first going from (0, 0) to (1, 4)…

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Q: y? = x and y2 = 2 – x %3D

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Q: 4x +2 (x + 1) >7+x

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Q: Find the surface area of the region that comes from rotating the given curve about the x-axis: T X =…

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Q: Determine the exact area between the x-axis and the curve defined parametrically by 2 x(t) = - +² t²…

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Q: Find the arc length L of the graph of r(t). r(1) = t³ i+ t j+V6r? k, 2 <t< 5 k, 2 <t < 5 L = i

A: Given : r(t) = t3 i + t j + √6 t2/2 k 2 ≤ t ≤ 5 Now, r'(t) = 3t2 i + j + √6 t k Arc Length :

Q: Find the following using the table below. X 1 2 3 4 f(x) 4 2 1 3 f'(x) 3 1 4 2 g(x) 3 4 2 1 g'(x) 1…

A: Value table,

Q: F't) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 %3D r(t) = efi+ etj K(t) :

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: 4+ 2t + et dt

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Q: Suppose that f(x, y) is differentiable at the point (3, 1) with f(3, 1) = 4, fx (3, 1) = 2, and fy…

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Q: Let f(x) = x³ - 3x². Find the absolute minimum value of f(x) on the interval [1, 4].

A: The given function,  f(x)=x3-3x2 on the interval 1,4

Q: Evaluate the function at the indicated value of x. Round your result to three decimal places.…

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Q: Consider the curve parameterized by x 3t2 3 and y 2t°. Find equations for all tangent lines to this…

A: Here we have to find the equation of tangent line.

Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

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Q: At the beginning of an experiment, a scientist has 176 grams of radioactive goo. After 210 minutes…

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Q: What is the difference between a function and a parametric curve? Make sure to justify your answer.…

A: This is a problem related to function and parametric equation for the same. Based on the general…

Q: For the given p-series, identify p and determine whether the series converges. Σk-9/8 A=1 P =…

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Q: Solve sin(x) = – 0.13 on 0 < x < 2 - There are two solutions, A and B, with A < B= A =

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Q: 6 Find the derivative of: 9/x

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim tto0 2t2 +3' 2t (?,?)

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Q: Cours A swimming pool is nearly empty, holding only 5100 gallons of water. A system is set up so…

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Q: 2. Find the critical points of f(x, y) = x³ + 2y³ – xy and analyze them using the Second Derivative…

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Q: Full Solutions 1. CHOOSE ANY TWO of the following problems and determine i) the Optimization…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: The volume of a right circular cone of radius a and height y is given by V = dy volume of the cone…

A: Explained below

Q: 3. [_x dx √2 +*

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Q: Find the first four terms of the Taylor expansion of the solution to the given differential equation…

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Q: Find the area between the innér and outer loops of the limaçon r = 2 – 4 sin .

A: This is a problem related to area of the polar curve. based on the graph of limacon curve we will…

Q: D(x) = 62-0.1x

A: answer is in next step

Q: Question Find fy for f(x, y) = eª ln(y). Sorry, that's incorrect. Try again?

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Q: Watch the video on Lissajous figures e before answering this question. Which of the following sets…

A: This is a problem related to curve plotting. based on the online available calculator we will plot…

Q: f(x)= = x+1 1³ - 2x² + 1

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Q: 3. A snowball is rolling down a hill, getting bigger as it goes. Assume the snowball remains a…

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 200 + 1000t - 150t², where t…

A: To find out the numbe of cars pass through the intersection between 6 am and 11 am.

Q: Evaluate the function at the indicated value of x. Round the result to three decimal places.…

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Q: the velumg of a Gale ungtrude) finm a agn by Caffing tolume of 54d a Tozt Ximia laca of Card toud…

A: We need to maximize volume.

Q: if x 2 valuate each of the following, if it exists. (If an answer does not exist, enter DNE.) lim…

A: Solution of given question is written in below steps.

Q: QUESTION 15 Find the polar equation for the curve represented by the given Cartesian equation. x + y…

A: To find the polar equation of the curve with given cartesian equation.

Q: J 3 If f(x) = then f'(x) = f'(-5) = = to dt > Next Question

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 11. If f"(x)=-4sin 2x, f(0)=0and f'(0) =2, find the value of f 4

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Q: Find absolute maximum & absolute minimum f define on C0, 2]

A: maxima minima

Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

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Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2200t – 390,² where t is in…

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Q: d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Find the limit. lim (t i – 4 j + t k) lim (t i – 4 j+? k) i i+ i j+ i k

A: The given limit is; limt→9t i-4 j +t2 k

Q: Use local linear approximation to estimate In(1.08)

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Q: 2. Evaluate the indefinite integrals. (a) fx² - 2e*dx (b) Evaluate (3-4x)¹5 dx

A: We have to evaluate the indefinite integral