Find the derivative of the function. %3D y = /x(x – 3)² y' =

Q: Which of the following integrals is equal to the integral / f(3x– 5) dr? f(2) dz 3 B dz 7/3 © "(e) d...

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

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Q: [(2- sec?r) sec(3A – x) e In (a le) sec³x -dx to be integrable using the formula ? и"du What should ...

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Q: The antiderivative of fx), denoted by F(X), exhibits an odd symmetry i.e., it satisfies the property...

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Q: company produces a special new type of TV. The company has fixed costs of ​$486,000​, and it costs ​...

A: Given query is to find the price for maximum profit.

Q: Find the area bounded by the curve y=4x, the lines x 1 and x=4. sq, units 2. 63 sq. units 56 sq. uni...

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Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

A: Basic application of derivative problem

Q: 8. . x² = 4y and y %3D x2+4

A: As per the guidelines I can solve only first question 

Q: Find the diameter of the circle 4x? + 4y? + 24y – 4x – 35 = 0. A. 6V3 B. 6V7 C. 3/6 D. 37 E. None of...

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Q: Find the equation of the curve for which dx2 = 6- 9x and which passes through the points (0,–1) and ...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: The slope of the tangent line at any point (x, y) on a curve is If the point (9, 3) is on the curve,...

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Q: Question dty of y = -10 sin (x) – 8 cos (x). Find %3D dx4 Provide your answer below. d FEEDBACK MORE...

A: Given query is to find the derivative of the expression.

Q: The antiderivative of f(x), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property...

A: we have to find the anti derivative .

Q: Question 2 If F(x) is an antiderivative of x2 +x, then what is the value of F(1) - F(-1)?

A: Here, given that  F(x)=∫(x2+x-1)dx=∫x2dx+∫1xdx=x33+ln |x|

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: Find the equation of the curve for which = 6- 9x and which passes through the points (0, –1) and (2,...

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Q: 1280 Consider the function f(x) = 5x + on the interval [6, 17]. Find the absolute extrema for the fu...

A: solution is given below...

Q: What is the integrable form of dx? e* – e -> S(u?- 1) -12 du du 2 du

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Q: If FX) is an antiderivative of x+ x. then what is the value of A(1) - A-1)? (A) -1 B0 -2

A: Finding F(1)-F(-1)

Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

A: I am attaching image so that you understand each and every step.

Q: 24. Which decimal digits occur as the final digit of a fourth power of an integer?

A: We have to find decimal digits occur as the final digit of a fourth power of an integer. 

Q: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: Which of the following integrals is equal to the integral f(3x- 5) dr? -2 7/3 f(2) dz |dz 7/3

A: We have to change the integral limits by substution.

Q: dx Evaluate Зх— 12

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Q: sin-cos-sin@ d0 has the form -F(0) +C. What should be the value of @ to make F(0) =0? 2 2 6. The res...

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Q: What is the integrable form of sin-cos-sin0 d0? 2 A /1 – u² du B Vu²-1 du © : fcomndn cosu du D sinu...

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Q: What are the radius and center of the circle that passes through the points (2,0), (18,0), and is ta...

A: From the equation of the tangent line we can deduce that the slope of the radical line would be -1/4

Q: S cos2x – sin2x cos2x dr = 3 -F(x) +C•What is F(x)? For cosx – sinx (sinx – cosx) -3 2 –cos?x- s³x –...

A: Explained below 

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2, where k is a pos...

A: Use simple velocity, distance, acceleration formula.

Q: Which of the following is an improper integral? A dx -4 x2 – x - 2 In(x++1) dx -1 © dx 2x+ 8 2 In3e ...

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Q: cos2x – sin2x cos2x For What is F(x)? - dx=÷F( 3 + C• cosx – sinx O (cscx – secx) 3 2 sinx - -cos'x ...

A: Solved below

Q: 1. Find the volume of the solid bounded by the paraboloids z = 6- x² - y and z = 2x? + 2y2.Use polar...

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Q: please answerrr

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Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

Q: For /- (x+x³) (x Tan-lx+1) dx = In[F(x)]+C• What is f(/3) if C = 0? -1 3 -1 + + + -15-15-15

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Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

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Q: Which of the following is an improper integral? In(x4+1) dx dx x2-x- 2 dx 2x+ 8 2 In3e COSX dx xe -2

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Q: a The general antiderivative of ( 3x2– 4) 2x2 can be written as "+ xP. P +C. What is the value of th...

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 713 f(2) dz 7/3 f(2) dz -2...

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Q: osx- e sinx sinx +x +e nsinx The integral dx may be written as me' +px + qe"* + C, where m, n, p, q,...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Solution is given below:

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a positi...

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/g2 , where k is a p...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

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Q: Question / Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x 4. A 63/...

A: We will find the area of region bounded by the curves. 

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C a...

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Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 9. 8 square units 6 square u...

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Q: 6 ]anc Given matrices A = 2 compute 2A + B. -2

A: In matrix addition, the addition of two matrices by adding the corresponding entries together. 

Q: Find the area bounded by the curve y2=4x, the lines x=1 and x=4. 56 A sq. units 3 - 63 sq. units 2 -...

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