Use the Comparison Test to determine if the series 2+ In n n sin? n n=1

Q: c) : Evaluate the integral xp- x2-4x-5

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Q: ritical value at A = r) is Select an answer v Select an answer

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Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

Q: Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-...

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Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n³ + n² + 1 n=1

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Q: A solution to the trigonometric equation 2 sin² x = 2 – - V3 cos x i. 90° ii. O° iii. 30° i only i a...

A: Given: 2sin2x=2-3cosx   As we know that; The Pythagorean identity; sin2θ+cos2θ=1    

Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

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Q: Consider the indefinite integral dx Then the most appropriate substitution to simplify this integral...

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Q: 2. Evaluate lim -4x+1 X-1 x-1

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Q: C. Optimization 1. Use the first derivative test to determine the relative extrema of the following ...

A: The given function f(x)=x2x-22

Q: Find lak| for the series. 00 k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation an...

A: The series ∑k=0∞kk+12k

Q: (r'+2) dx

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Q: S (1 – cot² x) dx b)

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Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...

Q: The number of solutions to cos 0 = – c, with 0 < c < 1 and O 2 Infinitely many

A: This question can be solved graphically.

Q: Let R be the region in the first quadrant which is below the cur curve y = sin æ, above the x-axis, ...

A: We have to write the definite integral for the volume

Q: CHAIN RULE DERIVATIVES Directions: Differentta te the given fanctions gx)-13bc°(56+ 4c t 9)°

A: To differentiate: the function g(x)=131x35b+4c+95 Formula used: Chain rule of differentiation ddx(f(...

Q: If- csc 0 – 1 csc 0 + 1 = 2 sec 0, and 0 and acute angle, then the value of (cot 0 + cos 0) is 1+ v2...

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Q: Find the absolute maximum and minimum values of the function on the given set R. f(x,y)=(x-2)*+y'; R...

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Q: sider the graph of the function f(r) below. Find the following limits: 2 -4 -3 -2 -1 1 2 -2 (a) lim ...

A: We have to find the following given limits according to the given information using the property of ...

Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

A: Given query is to find the limit of the expression.

Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

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Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

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Q: Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all o...

A: Given problem:- Determine the values of a, b, and c such that the cubic function f(x)=ax3 + bx2 + cx...

Q: Choose among the following tests ONLY: integral, comparison, and limit comparison to determine if th...

A: We have to check weather the given series is convergent or divergent

Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b) ...

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

A: x= sin 3t     and y=cos 3t     for    0≤t≤π3 We need to eliminate the parameter i.e. we have to elim...

Q: The quantity of a substance can be modeled by the function N(t) that satisfies the differential equa...

A: We have to find the quantity of substance at t=1.8.

Q: Sketch the level curve of the function y? f(z, y) = %3D 9. 16 for c = 1.

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Q: 2x-2y* If f(x,y)={3x² +3y² if (x, y) # (0,0) then: m if (x,y) =(0,0) f(x,y) is continuous at (0,0) i...

A: To check whether the function is continuous or not. Given information: The function is f(x)=2x4-2y43...

Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

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Q: 2. Evaluate lim x-4x+1 X-1 x-1

A: I am attaching image so that you understand each and every step.

Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

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Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

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Q: Exercise 7. Let (1 3 0 A = 30 1 0 1 1 1. Find the eigenvalues and associated eigenvectors of A. 2. C...

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Q: Express the limit of Riemann sums as a definite integral. Do not evaluate! 7i 4+ 7i – 3 ( 4+ 7 lim l...

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Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...

Q: Determine whether the series converges, and if so, find its sum. E-1(-1)k-1 6k-1

A: topic -  series convergence and divergence 

Q: Use the First Derivative Test to find relative (local) maxi points, if any, of the given functions. ...

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

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Q: explanations

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Q: 7. y= tan e+ e

A: This is a problem of differentiation of the function. By using general formula of the differentiatio...

Q: Using integration by parts and taking a > 0, the integral x In(ax)dx is equal to: In a 2 In(2a) - 3 ...

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Q: The area of the region between the curves y = x2 and y = x from æ = 0 to x = 1 can be evaluated by |...

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Q: We wish to evaluate the following intogral 10 -12xe de We will accompliah this using Integration by ...

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Q: Determine if y = ex is a solution to y′′′- 12y′′ + 48y′- 64y=0

A: y'= ex  y"= ex  y'"= ex 

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x-...

A: Let's find. 

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.