(b) Determine whether the series n=1 n 3n+2 n is convergent or divergent.

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

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Q: Sketch the graph of the inverse function. -B Ау B- (2,3175) Q ✔ Choose the correct graph below. O A.…

A: The given graph is

Q: Suppose that $600 are deposited at the beginning of each quarter for 10 years into an account that…

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Q: нх У - 169 = 19.2 ё + воё, усо) =ўс) 4Х 4X -4Х Ans: y=2.2 +e+24xe X - Че

A: Solution of given question is written in below steps.

Q: VAI a. b. Given y =(x-2)²(3-x). Find the C. d. stationary points, interval of increasing and…

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Q: Find an equation of the tangent plane to the surface at the given point. (2,0,0) g(x, y) = arctan…

A: Answer and explanation is given below...

Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

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Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

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Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.3) 5+ 4- 3 5-4-3 1 1 2…

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 4ti + t²j…

A: This question is based on dot product of two vector. (a i + b j).(c i + d j) = ac + bd

Q: -5 -4 -3 -2 -1 midline: y = amplitude: 7 period: -1 -4 q Determine the midline, amplitude and period…

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Q: Without using a calculator, evaluate, if possible, the following expression. 4π 3 sin sin ...

A: We will find the value.

Q: 1) Solve the following ODES by Undetermined Coeff. ● 4X 11 X y - 16 y = 19.2 € + 60e, y(a) = y() -4X…

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Q: Find the exact value of cos 2x given that sinx= - 3 and x is in quadrant III.

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Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: A population of rabbits oscillates 29 above and below an average of 75 during the year, hitting the…

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Q: 18/17-16-15 2 2 1 -13-12-11-18-9-8-7-6 -5 -4 -3 -2 -2 + -2 $ 6 8 9 10 The curve above is the graph…

A: topic- trigonometric functions

Q: Find the function f if. Vf-(3a²y + y², a² + 2xy), Vf dr with and without the Fundamental Theorem of…

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Q: 4. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

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Q: By power Series method, Solve the following ODES • (2+x)y=y ans: y = a. (1+1=1/2 X

A: In this question we have to find the solution of the power series.

Q: Plot the pair of points and find the slope of the line passing through them. (0, 0), (-9, 13) Step 1…

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Q: Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Solve the given differential equation by undetermined coefficients y" - 8y' + 16y= 12x + 6 y(x) =

A: Given:         y'' - 8y' +16y = 12x+6

Q: Which of the following graphs is the correct plot of y=- 2 cos(x)? -5+ 3 2 -1 -3 -5 -3 -2 --2 -3…

A: Please see the below picture for detailed solution.

Q: unction. Consider the function f, defined by: -1, f(x) = 2 500 0, 1, 2, Determine the exact value of…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

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Q: (2) / 1 - 12/9 - x2 dx

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Q: 10. 2ste tds +(s²e-t - t)dt = 0

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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

A: Given plane is passing through the points (4,2,1) and (4,1,-6). Let A,B C are direction ratio of…

Q: Find the solution of the given initial value problem: y (4) + 2y"+y = 3t+6; y(0) = y'(0) = 0, y" (0)…

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Q: f(x) =  5 x2 + 6 Describe the interval(s) on which the function is continuous. (Enter your answer…

A: Polynomial function are continuous every where so using this we solve this problem

Q: At which of the following x-values does the function shown below have negative slope? Select all…

A: Given: From the above figure, we need to find x-values where the function has a negative slope. We…

Q: Solve the given differential equation by undetermined coefficients y" - 2y' 3y = 12ex 9 y(x) = -

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Q: or m tid 4x x² + 1 The percent of concentration of a certain drug in the bloodstream x hours after…

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Q: Σ 4(k!) ² (2k)*! K=( a. Converges completely because re? b. diverges because r=? C. ratio test is…

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Q: tan12/1-tan^2 12 simplify

A: Simplify tan121-tan212

Q: IVIC Question 8 of 10 y The tangent line to the curve y=f(x) at r=1 goes ough the points (-1,3)…

A: To find out the value of f(1) and f'(1).

Q: A box without a lid is required to have volume, V = 32000 cm^3. Minimize the amount of cardboard…

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Q: ~tu{S} o 1 In(y) dy de

A: We have to find the double integral

Q: x = est, y = to (a) Find dw/dt by using the appropriate Chain Rule. dw dt W = X- (b) Find dw/dt by…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y² + z² (8,…

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Q: Find the volume of the solid generated by revolving the region bounded by the curve y = In x, the…

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Q: 3 12 Find the exact value of sin (a + B), if sin a= and sin ß= 5 13' sin (a+B) = ? OA. -16 65 OE. 33…

A: Given that sin α=35 and sin β=1213, with α and β in quadrant I

Q: Select the correct choice that completes the sentence below. To evaluate sec x, use the values of

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Q: For a certain automobile, M(x) = - .015x² +1.32x-7.3, 30≤x≤ 60, represents the miles per gallon…

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Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

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