Use Root Test to determine whether the series E(-1)"en² sin²n (2) n=1 absolutely converges, conditionally converges, or diverges.

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Q: (b) True or False: If E=1 an is divergent, then E=1|an| is also divergen

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Q: Find a general solution to the given differential equation. y" -y'-56y = 0 A general solution is y(t...

A: If the roots m1,m2,...,mn of the Auxiliary equation is real and unequal then complete solution is   ...

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Q: 200 If 50, solve for t. 1 + 5e-0.5t t =

A: Given query is to find the value of t.

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Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A ...

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Q: Locate the critical points and identify which critical points are stationary points. f(x) = 5x – 160...

A: Given thatfx=5x4-160x2+8Solution : find first derivative and equate equal to zero.fx=5x4-160x2+8f'x=...

Q: 1. we have to evaluate the following integrals 4 dy de a.

A: a ∫14∫12 (x/y + y/x)dydx ∫14 [xlny + y2/2x]]12dx ∫14 xln2 + 2/x -1/2x ∫14xln2 +3/2xdx [(x2ln2)/2 + 3...

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Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to ...

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Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +...

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: 4. (2y cos x + sintx) dx sinx dy 5. y' = 1 + 3ytanx %3D

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number betw...

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Q: Find the average rate of change for the function over the given interval. 3 between x= 4 and x 7 y%3...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Find the value(s) of x for which f(x) =4x-3/4x^2+17x-15 is discontinuous and label these discontinui...

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Q: Daily crude oil production by Pemex, Mexico's national oil company, for 2008-2013 could be approxima...

A: Find the derivative using power law of derivative. 

Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region a...

A: Let the length= x foot  Breadth= y foot  Area = lb = xy  2000= xy .   

Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the funct...

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Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: Given arccos(r) = arccot(z?), solve for dz/dr %3D

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Q: The functionf is a continuous function with the following characteristics: f(x) <0 on the interval -...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C. sec...

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Q: Consider the plane 9x + 3y + z = 27. (a) Write down the point at which the given plane intersects t...

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Q: Find d'y/dx? given x= t² – 3, y = 2t – 1

A: First I have find the derivative of x and y with respect to t and then calculate the required deriva...

Q: Given the differential equation and its initial conditions y" - y' 2y 0 with y(0) = -2 and y'(0) = 5

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Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1 +...

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Q: Q2: Solve the following equation using bisection method to find the root between x1=1 and x2-3 make ...

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Q: The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to es...

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Q: Set up an integral representing the area A of the region enclosed by the given curves. x = y*, x = 2...

A: Explained below 

Q: Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) ar R(4,6, 1). NOTE: Enter the exact...

A: Given: P=1,3,-4Q=0,0,0R=4,6,1

Q: Using least squares regression criteria, find the line (form y = ax +b) that would be the best fit f...

A:   X Y XY X2 Y2   1 2 2 1 4   3 4 12 9 16   5 7 35 25 49 sum 9 13 49 35 69     X¯ =1n Σ Xi...

Q: Consider the graph of fshown below. Use the graph to determine the following. If a quantity does not...

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Q: 9. Given f(x) =-Vx – 3 and g(x) = x² + 3x + 4, what is the domain of z(x) = f(x) – g(x)?

A: 9. The functions area given by fx = -x-3 and gx = x2+3x+4 To evaluate: The domain of the function zx...

Q: A manufacturer has a steady annual demand for 9,600 cases of sugar. It costs $10 to store 1 case for...

A: Find your answer below 

Q: Practice Pg)48 on increasing expontntial fonction 4=al6y and foncti on gu=<(d)Y interseed a de creas...

A: Explained below 

Q: 1. we have to evaluate the following integrals 4 dy de a. 1.

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Q: Determine whether the planes are parallel, orthogonal, or neither. 9x – 8y + z = 6 x + 2y + 7z = 1 O...

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Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: Given the function f(1) = cos(31) Use the Laplace Transform table to convert this function into F(s)...

A: f(t)=cos(3t)Apply Laplace transform

Q: 3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and th...

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Q: 15.

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Q: T/2 cos(x) sin(x)1/4 Consider the integral dx. (a) Which of the following statements best describe t...

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Q: Determine whether the series converges or diverges. +00 2n + 2 Vn3 + n2 + n n=1

A: Given query is to find series converges or diverges

Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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Q: L(2x² – S,(2x2 - 4x + 5) dx

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Q: (3x – 1)" 5" /n +1' Find the radius and interval of convergence of the power series n=1

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