12. Find all possible values of x such that In(x) + ln(x + 1) = In(2). If no such values of x exist, explain why.

Q: e following improper integral. If it converges, enter its value. Enter infinity if it diverges to…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: 6" We want to determine if the sequence is monotonic. (3п)! Using the ratio test we get that n+1 Sn…

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Q: 6. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function whose maxima or minima are to evaluate is: f(x,y)=xy with the constrain…

Q: Consider the Taylor polynomial T,(x) centered at x = 20 for all n for the function f(x) = , where i…

A: Solution: f(x)=1x-1

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y²,…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Display all powers of 2 that are less than 20000. Display the list in a properly formatted manner,…

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Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

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Q: At which points on the curve y = 1 + 60x3 - 2x5 does the tangent line have the largest slope? 1 5…

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Q: 6. In the large triangle of Figure 16, m is the weight line (it bisects the side to which the line…

A: 6. The vector which bisects the line joining by two vector heads is the mid-point of the two. So,…

Q: 2. Given that arcsec 2) + (x² – y²)² = 2. (a) Find dy using implicit differentiation. dx dy usino…

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Q: Find the remaining trigonometric ratios. 7 csc(0) = Зл < 0 < 2n 2 6 sin(0) cos(0) tan(0) = cot(0)…

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Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: 1 Use a limit comparison to test the convergence of |n+1 n=1

A: Given series ∑n=1∞1n+1 Recall limit comparison test

Q: Find parametric equations for the line whose vector equation is given (a) (x, y) = (3, –5) + t(1,…

A: A)x, y =3, -5 + t 1, -2x, y =3, -5 + t, -2tx, y =3+t, -5-2t Parametric equations of the line:x= 3 +…

Q: In the given integral below, what is the values of u and a? * dx V3 – x² – 2x - u = x + 1 and a = 2…

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Q: 4. Given function f (x,y)=e-(x° +y"), and classify them into maxima, minima and saddles. then find…

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Q: 4x + 5 S(x) = 9- 3x A. x = 0 B. x = 3

A: To determine whether the given function is continuous and differentiable at the given points or not.

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(3,4,–4); a…

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Q: Consider e": for all æ E R. n! a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: Let p(x) = x° + 10x- 36x3 + 36x² – 37x + 26. What is the relationship between p(x) and f(x) = 5x +…

A: The objective of the question is choose the correct option.

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Compute the partial derivatives shown for the given function. 5 ху f(x, y) = + ; find fy, fy, and…

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Q: 1. IF A FORCE OF 80LB STRETCHES A 12FT SPRING BY ONE FOOT. FIND THE WORK DONE IN STRETCHING IT A.)…

A: Work done= Imposed force × displacement

Q: Integrate the following differential and determine the constant of integration: dy/dx = 8/x which…

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Q: Find the derivative of the function described. (Rx5) 1. у %3D (2х + 3) (5х — 4) y = | Зх-1 2. f (x)…

A: Let's find.

Q: Let a = ci +j and b = 7i + 28j. Find c so that a and b are orthogonal. c =

A:

Q: Reindex the series to start at k = 0 y = E, (k+ 1)æ*+3 = E£o

A: The given series is y=∑k=7∞k+1xk+3 we have to re index the series to start at k=0. Rewrite the given…

Q: Can this still be simplified: 1006! 1005 x 21005 If not, will the equation be the same if I turn it…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 2x – 10y – 8z – 1 = 0 (a) | -x…

A: Given problem:- Determine whether the planes are parallel, perpendicular, or neither.   (a) 2x…

Q: 4х-2 y = Зx+4

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Q: 2. f(x) = 9x2 - 1 at x = 1

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

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Q: Find the vector component of v = (4, -1,7) along b = (2, 3, –6) and the vector component of v…

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Q: Determine the integral of sec^4 (x) tan^2 (x) dx *   a) 1/7 tan^7 (x) - 1/5 tan^5 (x) + C b) 1/3…

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Q: Arctan°9x dx =b Arctan 3x+C, i+9x2 what is b?

A: Solving the given integral by substitution.

Q: Find the area of the triangle with vertices P(1, 3, –6), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

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Q: Consider e" S- for all a E R. a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and x/2, evaluate the expression using…

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Q: The students at Prairiewood Elementary plan to make a pyramid out of plastic cups. The bottom row…

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Q: -4 X+

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Q: V4 - x 8. g(x) = at x = 0 %3D

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z…

A: To Find : Equation of plane passing through (-3,8,-8) that is perpendicular to the plane7x-y+z=2 and…

Q: Find an equation of the plane that is parallel to the plane x + 7y – 2z + 20 = 0 and contains the…

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Q: Solve using GEMPS X1 + 3x, + 5х; + 7x4 7x1 + 9х2 + 2х3 + 5x, 5х1 + 7x2 + 7х3 + 7x4 — 8 2x1 + 2x2 +…

A: Given system of equation…

Q: Note the word curve is used to indicate a graph and can be for example a straight line, parabola…

A: We have to find the area enclosed by the curves.

Q: If F(u,v) = (u-v) / (u+v), Find r(금금)+ F(x)

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