Is the series convergent or divergent? Justify the answer

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Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find T'(t).

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Q: If b = 1, c = 2, and ZA = 60o, find a. %3D

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Q: State where the power series is centered. Ï (-1)^(x – 57)6n (-1)"(х - 5л)бл n = 0 (6n)!

A: Center is 5π . 

Q: dy 7. dx cos(x + y), when x = 0,y =

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Q: a. Find a power function that models the data below. b. Find a linear function that models the data....

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Q: Factor out −1 from the polynomial.  −3ab − 5ac + 6bc

A: To factor out −1 from the given polynomial. -3ab-5ac+6bc  

Q: Find and simplify each of the following for f(x)=2x2-9x+5 A) f(x+h) B) f(x+h)-f(x) C) f(x+h)-f(x)...

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Q: 4 2 S[(x) dy dz 0 0

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Q: y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triang...

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Q: 2. Use projections or transposes to determine the least squares quadratic that best fits the points ...

A: Yo determine the least square quadratic that best fits the points.

Q: 3. A total Area of 2000 square feet is to be enclosed in two pens, as illustrated. The outside walls...

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Q: dy cos(x +y), when x = 0,y == dx

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Q: EX Use Taylor/Maclaucin's Series to.solve the following Ivps. (2) xycx)-xy)+ yo). -o. y(0)= 2 ýlo) -...

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

A: Please find the solution

Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: y = sin x tan x

A: The objective is to find the derivative.

Q: 6. Equation of the line that passes through (-5, -8) and is perpendicular to the line: 3x-9y =7.

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Q: Date... anam Q. Find the Fouries Series of d sx) = -X-

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Q: Work of 3 Joules is done in stretching a spring from its natural length to 14 cm beyond its natural ...

A: Let's find. 

Q: (교2 + y? + 1) dz- (2y + y)dy = 0

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Q: Evaluate the following limit using L'Hopital's Rule if indeterminate. e* – 1 lim x-0 sin(x)

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Q: y = In(4x² + 1)

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Q: Given z=2. Find zy wy.

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Q: Find the area of the region between the curves y=x^3, y=-x, and y=1

A: Area=14 sq.units

Q: check if it is homogeneous and to what degree (3x - cosy)dy t_x' dy =0

A: Find your answer below 

Q: dy cos(x + y), when x = 0,y = %3D dx 4

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Q: S coslnx dx

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Q: 3 In (sec v) 2t Evaluate the integral ex dx dt dv. 00

A: Topic = Integration

Q: QSolve using trigonometric substitution: dx 2.

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answers...

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

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Q: Convert the Cartesian coordinate ( – 4, – 1) to polar coordinates, – 27 <0 < 0, r < 0. No decimal en...

A: Solution is written in below steps.

Q: + yž = 1, when x = 0, y = 4 dx cos(x + y), when x = 0,y =" dx

A: The objective is to find the solution of the differential equation.

Q: cos(x + y), when x = 0,y = ' dy dx

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Q: Find the equation of the tangent line to the graph of f(t) = 25 + 7e−3t2 at t = 4

A: we have to find equation of tangent line . 

Q: Write the exponential equation - 10y in logarithmic form. QUESTION 17 5х — 1 Rewrite the expression ...

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Q: A textbook company estimates that the weekly marginal cost associated with producing x textbooks is ...

A: topic - differential equations

Q: Convert the Cartesian coordinate (6, 1) to polar coordinates, 0 0. No decimal entries and answer ma...

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Q: -jz

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Q: At what latitudes is the Moon always above the horizon when the Moon is minimum and maximum elongati...

A: In this question we have to find the position of moon with respect to equator line.

Q: The profit for a product is given by P (x)=- 14x²+ 1400x – 33,600- where x is the number of units pr...

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Q: 6. Find the domain of the following functions (where defined) a). f(x,y) = square root x+y+1/x^2 - ...

A: We can solve as follows

Q: 10. Consider y = s0.25 (5s – 4)1.6 Find the derivative of y at s = 8.

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: 2. Find the points on the graph of f(x) =- where the tangent line is horizontal. x2+2

A: Given f(x)=xx2+2we want to find the point on curve where tangent is horizontal 

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

A: Explanation of the answer is as follows

Q: 23 c) [[(x?y +1) dx dy answer: 10.5 1 2

A: Taking integration. 

Q: 9. k(x) = 3(x- 1)-

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

Q: 1. Find the derivatives of each of the following functions. (a) f(x) = cos x In r O (z) = In(cos a) ...

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Q: 2. (s-s?-t?)ds + (t + s? +t ?)dt = 0

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Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

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