Make a complete graph of the following function on the given interval. Use a graphing utility to check your work. f(x) = x - 3 cos x on [- 27, 2n] Choose the correct graph below. O A. OB. Oc. OD. Ay 10

Q: 4 csc" xdx 2.

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Q: 12. Evaluate the given integral, J x² sin x dx: A. - x2 cos x + 2x sin x + 2 cos x + c B. x2 cos x +…

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Q: Simplify sec(arcsin ). no solution O (3V5)/5 O (2 V5)/5

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Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: 13 Convert x 2 + y 2 - 2x = 0 to a polar equation. r = 2cosθ r² = 2cosθ r = 2sinθ

A: We have to find the polar equation

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Q: Cases and Complements 1. A group of four animals will be selected for adoption from a group of 10…

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Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

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

A: The given integration,      ∫3x+3xdx

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Q: ASSIGNEMNT #5 Determine if the function is continuous on the indicated close interval SVx +1 (5- x 0…

A: A function y=f(x) is said to be continuous at x=a iff, limx→a-f(x)=limx→a+f(x)

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Q: 2. Find the value of o(2) for a solution o(x) to the initial value problem: y" + 4y' + 4y = 2x + 6;…

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Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

A: We are asked to find the largest possible product of the two non negative number whose sum is 50

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Q: Use the graphing utility to plot the graph of y = tan on the interval [1, 50]. y = 2-8 y 2:45 2-1…

A: Let's find.

Q: 1. Find the function f given that f'(x) = 2x and f(2) = 5. Is the function ƒ unique? Why?

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Q: cos 0 (4) Evaluate the iterated integral /A scos 3r2 sin 0 dr d0.

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

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A: The given bound region is: Now taking vertical elementary strip; So, the area of the strip from the…

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A: Given problem:- D(x) is the price, in dollars per unit, that consumers are willing to pay for x…

Q: USE NEWTONS METHOD.  Find the 3rd estimate of the root of f(x)=x2-sin2x-1. . Use X0=0.5.

A: We know Newton's method iteration formula. xi+1=xi-fxif'xi ; where i=0,1,2,3.....    Given:…

Q: For f(x,y)=-6x'y° : (a) Determine fx(x,y) . 6.6 Answer: -42x (b) Determine fy(x,y). Answer: -36x 7.5…

A: Given query is to find the Indicated derivative.

Q: Convert the polar coordinates (- 3, -4) to Cartesian coordinates. O (3/2/2, -3V2/2) (-3v2/2, 3V2/2)…

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Q: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

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Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

A: The expression for the centroid is: x¯=1A∬xdydx & y¯=1A∬ydydx   Where; Area=A=∬dydx   From the…

Q: The critical point of the function f(x) = a – 6x? + 16x + 13 is - (1, –4) (-2,4) (2,4) (-2, –4)

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Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

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Q: Show that (f) and () aoe invesse fondion ARgeboaically @ fix) fex) = " O f cx) = X- I X+5 g(x) = ニ

A: We have to show that f and g are inverse function.

Q: If f(x, y) 3x+7y af then is given by: (3x–7y) 21y (За — 7у)? 21y (3x–7y)² - 42y (За — 7у)2 42y…

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: dx V4-9x2

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Q: Suppose z = x? sin y, x = –2s² + 2tť², y = 2st. A. Use the chain rule to find and dz as functions of…

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Q: f(x) = x* - 2x? ... Choose the correct graph below. O A. В. C. D. Ay 10- -40

A: Given query is to find the graph is the function.

Q: 3 (e) lim (1 x2

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Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: We need to find sides that can minimize the cost.