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Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

A: Using application of integration

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3), wh...

A: We will find the time and distance. 

Q: Let u and v be functions of x. Then J (u-v)dx is equal to ux – vx +C dx

A: Topic-:- integration

Q: 1. f(x)=In(tan-x)

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Q: a'+ Vt 8. f(t)= За + 5

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Q: xet dx (x+1)- 4.

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Q: Find the vertex of the parabola by applying the vertex formula h(a) = 6a?+ 16 O (1/12, 385/24) (0, -...

A: First I have written the formula of vertex of a parabola and then by using the formula find the requ...

Q: 1 Eliminabe the arbitrary constants C,e"cos 2x - 3X SIn 2x + - ZX Y C,e

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Q: (x )dv, using simple substitution dv=f(x)dx_ Determine the value of f(x) if To evaluate the integral...

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Q: Match the function on the left to its appropriate antiderivative on the right. V2x +C Prompts Submit...

A: Here we have to find the antiderivative of the following function.  1) f(x)=24-x22) f(x)=4x2+43) f(x...

Q: 3x3 - 5хе\ + 2хcos(x) waluate:

A: We have to find out the integral

Q: Find f'(x) and f"(x). f(x) = (x3 + 1)e* f'(x) = f"(x) Need Help? Read It Watch It

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Q: The graphs of the functions f and g are shown in the figure. y 4 f 1 -1 1 2 3 4 6. f(x) Let u(x) = f...

A: topic - functions and derivatives

Q: y = 5t2 - 2t + 4 -'(t) =

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

Q: Use the definition of the derivative (long method/ increment method) to find the derivative of the f...

A: We will find the derivatives. 

Q: tan an Evaluate: 1+2512

A: Follow the procedure given below.

Q: What is the relative minimum value of the the function f(x, y) = e+v ? Note: If the answer is a nega...

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Q: 4. I'e dz 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 9. 1+x

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Q: A. Fill in the tables and guess the value of the limit. 1. lim f(x), where f(x) = х3 — 1 x2 -1 %3D f...

A: Given that        f(x) = (x3 - 1)/(x2 - 1)  Here we have to find            limx-->1 f(x) .

Q: S. 9+eoscsiっ.、 (メ)) >マ

A: y = ∫dv4+ecossin-1xTo find appropriate 'dv' so that, anti-derivative is possible.  

Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

A: The amount of loan she took P1 =  $30,000  The current loan amount balance P2 = $56,000   Percentage...

Q: Find the derivative of y with respect to x. y = 8 In (4 In x) dy dx II

A: Topic:- derivatives

Q: [sin(Inx7)]²dx_ Which of the following is equivalent to "sin(Inx14) dx (A "sin²(Inx14) dx B © /sin°(...

A: SOLUTION-

Q: The curve below is called a serpentine. Find an equation of the tangent line to this curve at the po...

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Q: To evaluate the integral expression sin-(Vx )dv, using simple substitution dv =f (x) dx Determine th...

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Q: Identify the location and value of any relative maxima or minima of the function. 7) 7) ++>

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Q: Evaluate: tan( 4x- -In |cos (4x + 3)|+C B -In |sin(4x + 3)|+C -In |cse (4x + 3)|+C -In \sec (4x + 3)...

A: the given integral,        ∫tan(4x+3) dx

Q: 1 2х

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Q: If two functions F & G are both antiderivatives of the function f , the F (x) =G(x). (A) True B Fals...

A: We need to explain that given statement is true or false.

Q: Solve the differential equation (7x – 4y + 15)dy + (2x – 5y + 12)dx = 0 when x = 3, y = 2

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Q: Xe dx (x + 1)² 4.

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Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let lnx=t1xdx=dt∫t6-3t4dta+b4=a4+4a3b+6a2b2+4ab3+b4∫t64+4t63-3t+6...

Q: J(1+ sin x) °cos x de A x+ sin x + (sin x)4 +C (1+ sin x)*+C B C sin x + ( sin x)4 -+C D 1+ sin x)*+...

A: Given that,

Q: In order to evaluate the integral expression sin using simple substitution, dv =f (x)dx_ Determine t...

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Q: The integral csc(0.5) dx is equal to Sco A None of the given choices B 4tan¬le0.5x + C © 21n|csc(0.5...

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Q: x sin(x² )dx 2.

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Q: In2| 4+ tan-'cos- dx 2 sin ( 1+cos | 4+ tan-'cos- 2sin- · In²| 4+ tan-'cos- dx 2 (A 1+cos- 4+ tan-'c...

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Q: The value of C in the equation: ~-= - 500(1+1) -2 , when V=700 and t=0 is dt (А) 250 в) 300 c) 200 D...

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Q: Evaluate: x + sinx dxp.

A: Here we have to evaluate I=∫x+sinxxdx

Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A sint B sin?t C) None...

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Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x- 0.1x2 a. Find the avera...

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Q: How many tangent lines to the curve y = pass through the point (1, 2)? x + 6 At which exact points d...

A: Using y-y1 =m(x-x1 )  where m is the slope of given equation.  Therefore there are two tangent lines...

Q: xp- A 3 X - 2ln (x²) + C + In (x²) + C D +C + B.

A: Given query is to find the value of the integral.

Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc (4x+3)|+...

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Q: Lessoh 12. In each graph, a parent function has undergone a transformation of the form f(kx). Determ...

A: we have to consider the points which both the red and green graphs are passing through. then we have...

Q: SOLVE THE DIFFERENTIAL EQUATIONS. ( 3x2y + ey )dx + ( x3 + xey – 2y)dy=0

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Q: Find the domain of the following rational function. x+4 h(x) = x - 16 Select the correct choice belo...

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Q: population doubles in size every 29 years assuming exponential growth, find the a. annual growth rat...

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