Choose the correct answer below. O A. O B. Oc. OD. Ay 10– 10 -10 10

Q: Solve the given item below and write the answer on a separate sheet of paper. Find the second…

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Q: To test this series for convergence 6 -6 7" n=1 You could use the Limit Comparison Test, comparing…

A: To test the series ∑n=1∞ 6n-67n by the use of comparison test. Concept used: Comparison test:…

Q: 51 |x* sin 3xdx 2 53 [x' sin 3xdx 55 sin 3xsin 2.xdx

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Find the Maclaurin series for f(x) = cos (x'). %3D (Use symbolic notation and fractions where…

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Q: Find the total area between y = 16 – x and the x-axis for 0 <x < 5. | Area

A: Please refer to the image below

Q: Given the function f(x) = Vx5 – 3Vx2, find the interval(s) of increase.

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Q: classification of the isolated singular point 1. ((1-cosh(z)/(z^2)) 2. (z/2z+1)^3 3. (1/(z^2)(1+z))…

A: Solve

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: Sketch a graph of a function satisfying the following properties. 1) lim Ax) = -2 2) f'(5) = DNE

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Q: 5) Find the scalar and vector projections of b onto ā for 1 ā = 27 – 3+ 4k 6= j+ k 2

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Q: Complete parts (a) through (c) below for the given function. 2x f(x) = x² +4 (a) Find intervals…

A: Given

Q: 7. Compute using partial decomposition S dx x3– 2x2

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Q: Evaluate the triple integral g(z, y, 2) dV over solid B. B = {(x, Y, 2) | 4° 0, y > 0, 5 < z < 8}…

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Q: Match the expression in Columm B to complete the stalement in Column A. Input the letter that…

A: As you have asked for the solution of question 7,8,9 only, so I am solving those. Thank you. We…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Consider the function f that is continuous on the interval [-8, 8] and for which the following is…

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Q: A total cost function (in dollars) is given by C(x) = 116 + 3x + 0.37x. Use differentials to…

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Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown…

A: Solution is given below:

Q: 6.26. у - Зxу%3D0

A: Topic = Differential equation

Q: 1.SUpPose that fCx) = 3x(x-1). Find the critical numbers of fiX). Use them to detemine on which in…

A: We need to find critical point and interval of increase and decrease.

Q: 8. Evaluate the integral by using trigonometric substitution 2 dx V4x – x2

A: We have to find the indefinite integral.

Q: 7. Prove that if A and B are any vectors, then the vectors BA + |A|B and B|A- JA|B are orthogonal.

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Q: Find the equation of the line with slope −2 which goes through the point (9,−7).

A: Find the equation of the line with slope −2 which goes through the point (9,−7).

Q: Suppose that the graph below is the graph off'(x), the derivative of f(x). Find the open intervals…

A: Solve the following

Q: n²+n+1 En=1 n4+n² 00

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Q: 4. s=+- 5. y= X+1 2 x+ 1 6. f( x)=. 1- 2 x 2 7. y=2 x + 3 x'

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Q: The initial substitution of x = a yields the form . Simplify the function algebraically, or use a…

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Q: The given masses m¡ are located at the given points Pi which are placed in the xry-plane. Find the…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. a…

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Q: у" — бу' — 7у%3D11 sin 4x -

A: We have to mention the general form of the particular solution

Q: on enclosed by 4+x ア= Find the area of 4

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Activity 1.3.2. Consider the functionf whose formula is f(x) = 3 – 2x. c. Use the limit definition…

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Q: B a A b Note: Triangle may not be drawn to scale. Suppose c = 15 and A = 25 degrees. Find: a = b = B…

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Q: 1. Find the area between y=x and y=x' fromx=-1 to x-1. 2. Find the area of the "triangle" region…

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Q: S(-0) dx = - 4 In|x| + C 8. 2. )dx = 6 Vx + C

A: ∫x4-dx=x28-4ln(x)+CApply the Sum Rule:…

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = In(x + 3y + 4z) . F(2, y, 2) =

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Q: 1. (20) Solve IVP of the harmonic oscillator: dy dy dt2 + 4- + 6y = e-2", y (0) = 0, y' (0) = 1. dt

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Q: xcos? ydx+ tan ydy = 0

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Q: Consider the graph of y = S(2) shown below in blue. Estimate the value of the derivative at z 1.…

A: The answer is in step 2.

Q: Find f. f"(x) = 8 + 6x + 24x², f(0) = 5, f(1) = 15 f(x)

A: Find your answer below

Q: Determine the parametric equations of the path of a particle that travels the circle: (x-4)2 +…

A: We have to find the parametric equations.

Q: Application Section. 16. Consider the bottom half of the ellipse: y =V40 – 4x2 , which has…

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Q: Curve z =1- sint, y =1+ sint, t E [-5, is representing a part of parabola hyperbola circle ellipse…

A: The given parametric curve is: x=1-sin t y=1+sin t

Q: sa = -1, a = 0, and a = 2,c

A: answer is in next step

Q: Determine the equation of the plane containing the point and the line. (-7, 10, —3), r(t) — (1 — 4г,…

A: To find the equation of the plane passing through the point (-7,10,-3) and containing the line…

Q: 4. (i) Use the parametric equations of an ellipse, x = a cos (t) , y = b sin (t), 0 < t 2m, to find…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Here we have to determine the open intervals on which the function is concave upward or concave…

Q: f(x, y) = xy over the triangular region with vertices (0, 0), (8, 0), and (0, 6) O 12 2 96 O 16

A: Solve