Find the limit of the sequence an 14n+2 or 2+7n indicate that it is divergent. Select one: O Divergent O None of the others O 7 О 2 O 1

Q: The series 5 n 6. n=4 8

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Q: If the marginal cost function is given by c'(x) = 3x + 4x+ 3, then a general expression for the…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: Root Test : Consider the positive term series ∑ an . Define,         L= limn→∞  ann= limn→∞ an1n ,…

Q: The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption…

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Q: 8. Differentiate. Use the correct notation to label your answer.n Joot ai bonIRanom at ogts viinolov…

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Q: Xingqiu has 420 feet of fencing material and uses it to start a kernel by building 5 identical…

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Q: Evaluate x dx / square coot ( x -8x )}. A. Square root of (x2 + C B. Square root of (x2- + C C.…

A: Given problem:- Evaluate ∫ xdx/square root(x2 -8x)

Q: Find the AREA of the region enclosed by r =2+2 sin 0. A. 27 В. 4т С. 6т D. 8T

A: Here we have to find the area of the region enclosed by r = 2+2 sin(theta) .

Q: Find a particular solution y, of the differential equation: y" + 2y' + 5y = e* sin x

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Q: Given the equation y = 5 In| 6y | Find the Implicit derivative " dy/dx" of the function. You will…

A: We can find the derivative as below.

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: =limn→∞ ann=limn→∞ 3n2n+13n1n=limn→∞ 3n2n+13=limn→∞ 32+1n3=limn→∞ 32+03limn→∞ |an|n=278

Q: Find an equation of a line that is tangent to the graph of fand parallel to the given line. Function…

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* – x %3D has a critical number…

A: answer is in next step

Q: The function f has a continuous second derivative, and it satisfies f(9) = -4, f'(9) = 0 and f"(9) =…

A: If a  function f(x) is defined on an interval [a,b] and it's second derivative exists at x=c, then…

Q: 1 f(æ) = 10x + 29 - a) Give the domain of f (in interval notation) b) Find the critical numbers of…

A: There are more than 3 sub-parts, as per the Q&A guidelines we are answering the 1st 3 sub-parts.…

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 2 Vx - 10 lim x- 25…

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Q: = 8x - 3y2 nd the Implicit derivative " dy/dx" of the function. A) y' = - 6y B y' = 8 - 6y (Cy' -6y…

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Q: f(x) = 10/10x³ + 6x*

A: Follow the procedure given below.

Q: x2 h) lim - x+0 1- cos?2 x tan 7x i) lim X-0 sin 3x sin(x? + 3x + 2) ji) lim x+ 2

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Q: Find the derivative of the function. g(x) = vx2 - 14x + 49 %3! g (x) = %3D

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Q: Find a positive number a such that the sum of its reciprocal and 5,324 times its square is as small…

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Q: Solve the problem. Round your answer, if appropriate. As the zoom lens in a camera moves in and out,…

A: We have to find the rate of change of Area.

Q: )find dy to yalog,o(3X+1)

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Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) - kx y = Sx +…

A: The line is tangent to the given function then , there are two conditions :(1)  The function and the…

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 14 – x;…

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Q: Determine the convergence or divergence of the series. (If you need to use o or -00, enter INFINITY…

A: Given: Now,             limn→∞ 8n-13n+1=limn→∞ 8-1n3+1n=limn→∞ 8-1nlimn→∞ 3+1n=83 So, the series is…

Q: how would you find y'' for y = tan(x)

A: Solution:  Given that y= tan(x) Now find y'':

Q: 14. The volume of a cylinder is 900 cm³. Find the dimensions in centimeters that will minimize the…

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Q: Find the derivative of the function at P, in the direction of A. 0. fxy,2) 3D ху + yz +zx, Pо(3, -…

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Q: For each of these relations on the set {1,2,3,4}, draw the graph of the relation: {(1,1), (2,2),…

A: For each of these relations on the set {1,2,3,4}, to draw the graph of the relation.

Q: (a) 1+2+4+ 8+16 + 32 (b) -1+2- 4+8 – 16 +32 4 16 (c) 64 256 5

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Q: Find the area of the shaded region. r2 = sin(2theta)

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Q: Carol has 1500 ft of fencing to fence in a rectangular horse corral. 750- x (a) Find a function that…

A: We can solve as follows

Q: Find an equation of the ellipse that has center (-5, 5), a minor axis of length 6, and a vertex at…

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Q: Lhe y-axIS. a = 10 b = 2 y=ax(x- b Sketch a typical approximating shell. (Do this on paper. Your…

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Q: III. Graph the following functions: 4. y lIn(x-3) 5. y= In(x-1) 6. y= In Vx-1

A: Consider the functions 4.   y=|ln(x-3)|5.   y=lnx-126.   y=lnx-1

Q: (a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the…

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Q: Find the tangent lines. To the cubic y=x³-2x+3 parallel to the line 10x-y=3

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 2-1)nn…

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Q: Substitute c = 2 in the formula for slope as follows. %3D + Ax) - g ( lim Ax- 0 m = Ax

A: We have to substitute in the slope formula.

Q: 6 + 2n What is the limit lim In equal to? 1 + 9n n 00 Select one: O In 6 O In 9 O In 2 O None of the…

A: We have to find the limit  limn→∞ ln6+2n1+9n.   L’Hospital’s Rule: Suppose we have…

Q: A college student borrowed $44,000 to pay for tuition, room, and board. Some of the money was…

A: A college student borrowed $44,000 to pay for tuition, room , and board. Some of the money was…

Q: Test the series below for convergence using the Root Test. 3n 6n + 2 n=1 The limit of the root test…

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Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

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Q: e) S (x² – 2 x + 1)dx

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: (a) Find the derivative of the function f(x) = %3D ex-1 (b) Find the derivative of the function g(x)…

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Q: Find and sketch the level curves f(x.y) =c on the same set of coordinate axes for the given values…

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Q: List the critical numbers of the following function in increasing order. Enter N in any blank that…

A: To find: The critical points of the function and then list them in increasing order. Given…

Q: Use the graph of the function to answer the each question 1. limr-0-f(x) = 5- 2. lim,o+ f(x) = 4 3.…

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Q: x = e', y= te', z= te"; (1,0, 0)

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