• (-1) k2k k² k=1 Use the Ratio Test to determine whether converges absolutely or diverges.

Q: find the general solution (x + yex) dx-xexdy=0

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Q: If ƒ_¹₁√√√¹-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

A: The objective of the question is evaluate the definite integral using polar co-ordinates and choose…

Q: The point (6,-9, 7) is the center of the sphere represented by the equation x² + 12x + y² - 18y…

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Q: 13. Determine whether ∞ Σ(-1)* k1/2 k=1 converges absolutely, converges conditionally, or diverges.

A: The given series,    ∑k=1∞-1kk12

Q: 27. Consider the function h(x) = 2x²e-x² a) In two or three steps, write the properly simplified…

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Q: ·S In (x) √xln(x)-x =dx

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A: We have a given function g=3e^x cos(yz)

Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Choose the angle (in radian) between the following two vectors u = and U = O 2.059 00 O None of…

A: We know that angle between two vectors a and b cos(θ)=a.b|a||b|

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: For the sequence an = an-1 + an 2 and a₁ = = 1, its first term is 1 its second term is 1 its third…

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Q: Given the series: 1 1+ + + 9 27 does this series converge or diverge? diverges converges 00 If the…

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: The z-transform of [n] = u[-n] is

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Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: ㅇ블 x+1…

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Q: so (x − 2)(3x − 4)dx

A: Multiply (x-2) and (3x-4)

Q: We have two curves that limit the type Il region, on the right is the graph of the line x = y + 2…

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Q: If # f(x) > 48 for x [2,10], then b [ f(a) da ≥ 384, where a =2 and b = 10. a Select one: O True O…

A: First I have written a property of integral and easily find the True is correct option.

Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

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Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution:

Q: Solve the given initial-value problem. The DE is homogeneous. 3 xy² dy = y³ y -x - x³, y(1) = 3

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Q: b.) Draw the projection on a xz plane Show solution for the equation 4 اس -2 7 z 3 2 0 -2 1 2 c.)…

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Q: Consider the following function. f(x)=√x-1, (17,4) (a) Find an equation of the tangent line to the…

A: Here we have to find the equation of tangent line.

Q: If w = f(r,s,t), r = x-y, s = y - z, t = z - x then dw Əw + ?х -1 Əw дz 0 о II 1 -2 ( 2 O

A: Given the function w is function of variables r,s and t . further r, s and t are the functions of x,…

Q: (b) (c) dy dx separable 7 y-x exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

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Q: Find all solutions of the equation in the interval [0, 2π). cos2θcosθ-sin2θsinθ = -1 write all…

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Q: If A is square matrix of order 3 such that|3 A| = 54. Find |A|

A: Using the properties of determinants

Q: The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 4x√11…

A:

Q: (b) Show that y = 3e²x + e-2x - 3x is the unique solution of the initial value problem y" - 4y =…

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Q: Find the total area of the shaded region shown to the right given by the curve y = 2( sin x)√1+…

A: We can solve this as follows:

Q: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: Find the point P on the line y=2xthat is closest to the point (25,0). What is the least distance…

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Q: Consider the function f : [-1, √10] → R defined by { 10 8 6 T 2 0 -1 f(x) = r², r>2; x≤ 2. I Answer…

A: Disclamier: Since you have posted multiple a question with multiple sub- parts , we will solve first…

Q: The graph of y = f(x) is shown. Use the graph to answer the question. 2 1 f(x) 1 -1 -2 2 lim Find…

A: Given graph of function y = f(x)

Q: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

A: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: 1. Determine the domain of the real function f. 2+x a. f(x) = log b. f(x) = √2+x-x² c. f(x) = cos d.…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: L sin2t cos3t

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Q: mx + + 1) (x+1)^ then value of m +n is (where n is a prime number) X-2 dx equals ex + C

A:

Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

A: The function is P(t)=0.02(12+2t)3/2+1

Q: 11790 round of to nearest 10s And hundreds??

A: 11790 round of to nearest 10s And hundreds??

Q: Show that the following equations have at least one solution in the given intervals, rcos t 2x² +…

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Q: 8 Given g(x) = -2x³ + x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g(-x). 8 (-x) =

A: We can solve the question as below.

Q: The vectors a = : (4, -10, 8) is perpendicular to the vector b = (8,-8, -14). Select one: True O…

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Q: Using Integrating Factor by Inspection, solve: (y − xy²) dx + (x + x²y²) dy = 0

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Q: Graph the function. y = 3 Plot five points on the graph of the function: one point with x = 0, two…

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Q: 3. What is the distance from the line to the plane? 7-(2,3,8)+(1.1.1) 2x - 5y + 32 + 1 = 0

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Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

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Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

A: Take y common from RHS

Q: If then, find f'(x). O f(x) = ²* √e² + 1 dt, 2√e +1 O None of them. O Ve +1+ C O √e™ +1 e

A: Use fundamental theorem of calculus for finding the derivative