Use the limit Compariso. Testidet- ermine whe ther the following serios is, convergent or divergent.Gue the conclusion tgo n't 7nt3 2n5+3 where bn

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

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Q: Find the interval of convergence of the series E1 00 n=1 n8" O (-1, 1) O (-8, 8] O (-8, 8) O (-8, 8)…

A: We have to find out series

Q: In each part, evaluate the integral, given that {Ix- 61, x 2 0 x + 6, x < 0 f(x) %3D (a) f(x) dx = i…

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Q: The function Y = has undergone the following sets of transformations IfY-x passes through the points…

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Q: In each part, evaluate the integral, given that SIx - 61, x 2 0 f(x) : x + 6, x < 0 ' %3D

A: The solution is given in the next steps.

Q: Sketch the region enclosed by ?=5?y=5x and ?=3?2y=3x2. Decide whether to integrate with respect to…

A: Given: y=5x, y=3x^2

Q: dx Vx4 – 2x² + 1 3,

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Q: 5) Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0.…

A: For the solution follow the next step.

Q: Solve the differential equation dy + y = 4xy³, y(0) = dx %3D 1.

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Q: Find the net signed area between the graph of the function f(x) = |x+ 3| – 4 and the x-axis over the…

A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: 1. a. Show that two lines with direction vectors d, = (2,3) and d, = (6,-4) are perpendicular. %3!…

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Q: 2x e dx 4е2х —8е" +5 -

A: The integration of the integral is  e2x/(4e2x-8ex+5).

Q: az əz of Z = - у2 +х at the point (x, y)= (1, 1). 1. Find дх ду

A: We have to solve one question as per guideline Please repost other question again

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation x –…

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Q: f(a + h) – f(a) =

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Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to find changing the surface area

Q: Given the differential equation dy dx (x – 1)(x + 2)' x +1 y = 1- y > 1, x> -1. a) Find the solution…

A: Here we have given a linearly differential equation :

Q: A pebble is hurled upward from the top of a 512-foot-tall building with an initial velocity of 64…

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Q: 1. Find the absolute extrema, if any, of the following functions on the given interval. (a) f(x) = 4…

A: Given:     a) fx=4-3x ; (-1,2]           dydx=ddx4-3x                   f'x=-3   There in no…

Q: What are intervals of concavity of the function f(x) = -2x³ – 6x? – 6x² - 3? Concave upward on (-o,…

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Q: explain

A: We will check whether fundamental theorem of calculus applies.

Q: 3) (0,1,0), (2,1,0), (3,4,7) Ans. Indepena

A: Given

Q: Зп? — п+3 ? +1 2n EM

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Q: Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0. 1]…

A: The Intermediate Value Theorem: If f be a continuous function over a closed interval [a, b] with its…

Q: az Find əx if yz – In z = x + y -

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Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, -1)…

A: Given query is to find the interval where function is concave up and down.

Q: For the function f(x)= x3 + ax2 + 2a2x + a, there exists a point of inflection at x = 2. Determine…

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Q: A. Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x +y = 6…

A: Note: As per our guidelines we are restricted to solve only one problem. Please upload separately…

Q: Find the Taylor series generated by f at x = a. 1 a = 4 f(x)= x

A: We are asked to find taylors series of the function

Q: ind the values of a and b so that the function = x + ax + b has a local maximum at the (-16,- 12).

A: We will find the value of a and b.

Q: The interval of convergence of the power series x2n Σ (-3)" n=1 is:

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Q: x2 Consider the function f(x) = 2- (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: .5 dx Vx4 – 2x2 + 1 b. 3

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Q: Solve the system. If the system has one unique solution, write the solution set. Otherwise, deter…

A: The objectives to find the solution of the system.

Q: explain

A: We will check if the fundamental theorem of Calculus is applicable.

Q: The function x2 f(x) 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: The partial sum 1 +7+ 13 + .+ 175 equals Question Help: DVideo MMessage instructor Submit Question

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Q: Sf(x)dx = 2, f(x)dx = -5, and ſ g(x)dx = 1 . Evaluate the following 7. Suppose integrals. SF(x) +…

A: Here we have to find the given integral. I have appended the formula used in the solution part of…

Q: B- Find the length of the curve given by the position vector r=, =r'i+(1+(1/3)x')j+(1-(1/3)')k for

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Q: (3) 2x Find the linearization L(x,y) of the function f(x,y)= e cos (3y) at the points (0,0) and 0,…

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Q: Which of the following is the particular solution of a nonhomogeneous differential equation…

A: Here, given that: yc=c1x2+c2x3⇒y1=x2, y2=x3 And, u1=2x-3x2, u2=2x+3

Q: a. (csc 0)(1+ sin² 0 + sin 0 cot? 0) d0 5.

A: We will solve the integration

Q: (e) If p = tą+3ī , then p, q, andr must be coplanar F Ccould be wltihear)

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Q: 1 y = 6 2.x +

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Q: The power series representation of 8. f (x) = x+7 centered at x=2 is: O :- 8 8 8 8 81 (*- 2) + (x-2)…

A: Topic = Series

Q: Are the Following Vectors Linearly Dependent or Independent? 1) (3,4), (4,3) Ans. Indep

A: We have to check the vectors are linearly independent or dependent (3, 4) , (4, 3)

Q: C hnd the firet order parho derivohve of 32 4 5 1. 2) %3D *y-16y²23+43x %3D h Cs, t) =° E*In ts3) +…

A: Solution is here

Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

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Q: 1. Evaluate the following integrals. sc 8)(1+ sin² 0 + sin 0 cot? 0) d0 a.

A: Given: I=∫cscθ1+sin2θ+sinθcot2θdθ     Use the trigonometric identity; 1). sinx=1cscx 2).…

Q: lim X- Sin X X3

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