Prove that you Can use the integral teSt on the Series which is the Sum to infinity of the terms a lnln)n: Then Use the test to establish the con vergence or divergence of the series. from n=1

Q: 1 Use SUBSTITUTION to evaluate the definite integral to three decimal places. xp- 2x +4

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Q: x² sinh x dx

A: Let's find.

Q: What is the contour map of the function using the given values of k? t(x, y) 1 1 1 1 x² + y? k = 0,…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: Evaluate the following limit using L'Hospital's rule. lim (cos(6x))) Provide your answer below: lim…

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Q: V9x2-12x +11 Evaluate lim x-1/3 3.x-1 -2 O NONE OF THESE O O o O O

A: To evaluate the following limit.limx→-13-9x2-12x+113x-1

Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1.…

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Q: Find the general solution of the DE below. Show the method on how you get the roots, not by…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: 15 dx +C + x2

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Find your answer below

Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict…

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Q: Given the price-supply function p = S(x) 10(e0.05z 1), find the average price (in dollars) over the…

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Q: Jx + 2x f(x)=- 7х — 4х? 8.

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. | a(56…

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Q: 1 ut du. 8 13

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Solution is given below:

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: Find the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*²

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = | %3D N(8) =

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Q: (-1) Investigar la convergencia o divergencia de la serie E1 n+2

A: answer is in next step

Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

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Q: Consider the following equation and point. f(x) = a (3, -1) x - 4 Find an equation of the tangent…

A: First we have to calculate slope of the given function to calculate equation of tangent

Q: y y=x+1 x= 4 y = 0

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Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

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Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v= (0, 6) %3D b =

A: Explanation of the answer is as follows

Q: Verify that the two planes are parallel. --x + 6y + 2z = 7 *+ 3y + z = 8 Find the normal vector, n,,…

A: The normal vector to the plane ax+by+cz=d is given by n=a,b,c

Q: nsider the Integral I when answering the following questions. g(x) dx

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Q: Question Evaluate the following limit using L'Hospital's rule. 168 2.x lim X12 [5x2 - 85x + 300…

A: topic - limits

Q: Use the ratio test to discuss the Con vergence or divergence of the seríes which s the Sum from n1to…

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Q: Consider the following. u = (6, -1, 0) v = (-2, 3, 0) %3D %3D Find u x v. Determine ifuxv is…

A: Let's find.

Q: For each of the following series determine if the series converg for series convergence or…

A: Given

Q: c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: r(t) = cos(Tt)i– In(t)j+ vt – 6k; to =7 |

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Q: Consider the following. u = (-9, -6, 4), v = (6, -7, 0) %3D (a) Find the projection of u onto v. (b)…

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Q: Find the area enclosed by the curves f(x) = 32-x and g(x) =x. %3D %3D The area (rounded to two…

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Q: Find u v, u·u, ||v||², (u · v)v, and u · (3v). (5, -2, 4), v = (0, 7, 5) U = (a) u V (b) (c) ||v||?…

A: The given vectors,  u=5,-2,4, v=0,7,5

Q: valuate lim v9x² – 5x + 3x

A: Given: limx→ -∞ 9x2-5x+3x

Q: dx 7. S; x³ Vx2-4

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Q: Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside-…

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Q: Consider the following. u=i+j+k v = 2i +ì-k Find u x v. Determine if uxv is orthogonal to both u and…

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Q: determine if it converges or diverges   a) cionverges by series p b) diverges by series p…

A: To solve the following problem

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: This question can be solved using the concept of equation of line passing through two given points.

Q: Find the directional derivative of f at P in the direction of a. f(r, y, 2) = xy + z²; P(0,3,1); a =…

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = –9 plane,…

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