Classify the series as absolutely convergent, conditionally convergent, or divergent. 2(-1)*+1_k+ 10 k(k + 11) k=1 O divergent O absolutely convergent O conditionally convergent

Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to b...

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants ...

Q: Q2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the ...

A: area under the curve

Q: Consider the differencial equation given by: 1にY01/sa) de a) This equation have Three equillibrium p...

A: (a)To find the equilibrium point. (b) Classify each equilibrium point as asymptotically stable or un...

Q: 4. A ladder 10 meters long is leaning against the wall ofa building The base of the ladder is slidin...

A:

Q: QS/A Graph the curve Y=-2x (x- 4x- 6)(x -2) between the value of x 0, 4). then find the area of the ...

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Q: Use Ayf'(x)Ax to find a decimal approximation of the radical expression. V18 What is the value found...

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Q: antl to determine if the sequence ne"} is strictly increasing or strictly decreasing. an Use the rat...

A: Ratio test:

Q: (e) /a (с) dx e2x 2.х

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Q: 5 5 -2 6 det -1 0 10 = 47 -3 5 5 -2 6 det-1 0 10 = - 165 7 -3 5 5 -2 6 O det -1 0 10 = 0 7 -3 5

A: Given query is to find the determinant of the matrix.

Q: Find Ay and f'(x)Ax for y = f(x) = 3x° x= 2, and Ax = 0.08.

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

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Q: ek is convergent or Use the Integral Test to determine whether the scries 1+e2k k=1 divergent. Remem...

A: For integral test, f(x)=ex1+e2x. Now,               ∫ex1+e2xdxLet  u=ex.=∫11+u2du=arctanuSubstitute ...

Q: is

A: We will find the derivative using quotient rule. 

Q: If {an}1 is a convergent sequence, then {2a,}1 is also a convergent sequence. n=1 Select one: O True...

A: First is true and second is false. 

Q: B. Find all x values at which f(x) = 2-6-16 is not continuous. Identify the removable x+2 discontinu...

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Q: Given 1. In the sequence 0 ,-5, -10, -15, what is the 3rd term? 2. If az = -3, d= 4, what is the 1* ...

A: AP 

Q: ) Evaluate the following integral: S V2 + sin 3t cos 3t dt

A: We have to find solution of given integral.

Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16 ...

A:

Q: cot 2x dx . Evaluate the integral V cot2(2x) – 15 A In |cot (2x) + V cot²(2x) – 15| + C 2 csc (2x) B...

A: ANSWER: Option: B

Q: 3x2+8x-12 dx x3+7x2+12x

A: As per the instruction, we will be answering only the first question.     ∫3x2+8x-12x3+7x2+12xdx=∫ -...

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 4n? + 8n +7 а, —...

A:

Q: Given the following system of differential equations dx = 4x + Oy – 9z dt dy = Or dt Тy + 31z dz = -...

A: When -R term introduce to the diagnonal entries.

Q: Find the domain of the vector-valued function. r(1) =In(1– 1)i+v4-1j O (-1,4] O 14,-1] O 1,4) O (1,4...

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Q: D. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a zer...

A: The given zeros are 3i,-3i,-1 and -1.

Q: A B А - R B Matrix becomes C D с D-R

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Q: Find dy when X= 4 and dx = 0.2. y 3x-4x + 2x+ 3x -7 y%3Dx

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Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

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Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3/x - 2x 3 (A) u...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about z = x0 and then find the nth Taylo...

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Q: Evaluate the following integral: J Sec?x -dx V1-tan2X

A:

Q: Write the first five terms of the sequence, give the exact answer: { too n+23 T=1 Determine whether ...

A: On solving this we will get

Q: Which of the following sets are equal? A = {x e R|-2sxs2} B = {x e Z|-2sx< 2} C= {x e Z*|-2 < xS 2} ...

A: So set C and D are equal. 

Q: We found that the power series converges on the interval (1, 5), but the ratio test is inconclusive ...

A: Radius of convegence of the power series,  ∑ak(x-c)k, k ranges from 0 to infinity is given by, 1/R=l...

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A:

Q: Find the maximum or minimum value of the quadratic function g(x) = 2x² + 6x + 3.

A:

Q: 2 an is an infinite series with partial sum Sy = 9 – N2 Suppose that n=1 16 What are the values of а...

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Q: Find an equation of the plane containing the points A = (1,0,2), B= (– 1,1,2),C=(5,0,3).

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

Q: Uつ40+OLU 1ontい し いun 人 の-メS1-Xメーメを interval 3. 3. poutnd to factor p) いUtas0 -use the test -Point me...

A: Let's find.

Q: Given the matrix -8 7 Introduce the "-R" term to the diagonal of the matrix then find the quadratic ...

A: Given problem:-

Q: (a) / Зх — 2 d.x x +1 -

A: We can evaluate the following integral as follows 

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 1 Pala) =...

A: Given,            fx=lnx , n=4 , c=4To find : The nth Taylor polynomial for the function at n=4, cen...

Q: %3D h that x+3y =16. |=

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Q: Given the matrix 2 4 Find the Characteristic Equation and find its solutions (aka: eigenvalues). A R...

A: Solution: Let A=24-17 The eigenvalues of A are the roots of the characteristic equation A-RI=0

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

A:

Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

A:

Q: an experiment in which a coin is tossed thrice. Let X be the number of heads. Find the mean, varianc...

A: We will find mean, variance and standard deviation

Q: 1 dx x² – 1 C3 5. . J2

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Find an explicit solution of the given initial-value problem. 1 V1-у? dx - V1-x2 dy — 0, У(0) y =

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Q: Find the general term of the sequence, starting with n 1,determine whether the sequence converges, a...

A: We have to start with n=1 to make given sequence. we have to find an and limit value