Use a double-angle formula to rewrite the 5 - 10 sin?e - 5 cos 20 5 cos 20 5 sin 20 O - 5 sin 20

Q: Determine the derivative of f(x) = ( In x )6 with respect to x. f'(x) =

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Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if th...

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Q: Consider the function on the interval (0, 2x). (x) = 4 sin? x + 4 sin x

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Q: Solve the following differential equation dy _ x²+y² dx ху Select one: O a. y? = x?Inc²x² O b. y? = ...

A: Solving by exact differential equations

Q: foex-2X+1, find f (xth)-f(x)

A: The function is given by fx = x-2x2+1 To evaluate: The expression of fx+h-fxh

Q: 1 dx cos x 7. . /3 1+sin x 8. cos rsin r dr. 9. cos rsin?r dr. COS

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Q: Let f dx be given. if u = e* + 1, then the resulting integral is f(u) du. Compute f(3) 2/3

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Q: Find the differential equation whose solution is given by: y^2 = 4ax

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Q: Find [(dy)/(dx)] if the curve is defined by 7 x² e7 Y + 6 y2 e2 x = 16. %3D [(dy)/(dx)]

A: Given:     7x2 e7y + 6y2e2x = 16

Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

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Q: Question 20 csc x du 3T If u = f(x), then dx = Compute f и sin x – cos x A B 1 D -1

A: We have to solve our question

Q: Find the area enclosed by the following parametric curves and the y – axis. Find its exact area, no ...

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Q: 16. (sec x + tanx)² dx 32. sin? x cos x dx

A: We 1+ tan^2(x)=sec^2(x)  Also we integral of sec^2(x) is tan(x)

Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is f 2...

A: Let's find. 

Q: Evaluating Indefinite Integrals Evaluate the integrals in Exercises 37–46. 44. (sec 0 tan 0) V1 + se...

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Q: 4. Insert two geometric means between 5 and 8.64.

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Q: Question: By applying integration by parts, we have x10 In x Sx° In x dx = x10 +C 100 10 Select one:...

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Q: sec x dx

A: We will evaluate the given integral as shown below we will apply reduction formula to solve the inte...

Q: 5 sin Od0 = -5(cos x – 1). Select one: O True O False

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Q: 8. Let /(x) -x +x + 1 and g(xr)-x-3. Find the following new functions. サー メェx-』 ( 3. f subtract WOLE...

A: As per bartleby guideline I can solve only one question.(8) if you want other solution pls reupload.

Q: b) Find the maximum volume that such a box can have.

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Q: tan' sec? 그dr 26. 28. 7 dr - 10

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Q: Consider the integral 2n* g(x) dx . There is a function g(x) such that when u = In x the resulting i...

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Q: express the equation in logarithmic form  a) 9^-1=1/9 b) 3^-2=1/9 c) e^x=8 d) e^5=y

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

A: Given Series ∑k=1∞ 1kk+2  

Q: (ke) 3 (1-In 2-) 1. For Sk*e3* dx = +C.f u= 3x, then k=? 2.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Question d²y Find if -9x – 3y = 8. %3D dx2

A: Detail solution is given below

Q: Solve the system. 2х + 6у - z %3D 6 4х - Зу + 5z 3D - 10 8х + 9y - 2z 3 12 The solution set is {(CI)...

A: We have to solve system of equation

Q: function f(x) is given.  f(x)=log2 (log5 (x)) a)find the domain of the function f. (enter your ans...

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Q: The average daily temperature at a tourist lodge is approximately T = 106 - 34 cos[ ( 4π ( t - 50 )...

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Q: Directions: Determine which graphs represent a function and then drag each into the appropriate colu...

A: Topic = Functions

Q: Let J ex+1 S dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f(3).

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Q: т?+2m Consider dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+1

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Q: An android phone and a bluetooth speaker together cost Php6500.00 . The phone costs Php2000.00 more ...

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Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plan...

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Q: Solve using the U-Technique Question 14 Let dx be given . If = e* + 1, then the resulting integral i...

A: Solving the problem by finding the value of f(3)

Q: The value(s) ofp for which the series E-1 is (1+n*)-P convergent using the integral test: A) p2 1. B...

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Q: Find A

A: A={4-1 22-4 21-2 1}Multiplying Row-3  by 2;A=12{4-1 22-4 22-4 2}[As multiplication by scalar effects...

Q: (h) lim - 7 log: (z) -0- ||

A: Given query is to find the value of indicated limit.

Q: nl n-1 lim O converges O diverges

A: Given query is to find series converges or diverges.

Q: 3) The volume of a rectangular box with a square base remains constant at 1000 cm³ as the area of th...

A: topic- application of derivatives

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: 10- 8 2

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Q: . Graph (2) on the same coordinate axes, labeling the points corresponding to those you labeled on t...

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Q: Find the indefinite integral. J. x cos 107Tx2 dx

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Q: Evaluate the double integral Jo J-y? dxdy

A: To evaluate: ∫02∫-4-y20dx dy

Q: Solve the system. 3x + 6y - z = 7 2х - Зу + 5z %3D -11 8x + 9y – 2z = 13 The solution set is {010} (...

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Q: if 4x1

A: Given problem:-