Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Answers 2 sin-1 -C 4-x2 4 2tan-1 + C x2 +4 Choose a match V2x

Q: el+y dA ‚Where D= {(x, y) ||a| + \y| 0, x2 + y? < 1.

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Q: 2x2+ 2x+1 x+1 Evaluate: Je dx. A x2 + In|x+1| + C 1 + C x+1 C None of the given choices * + In|x+1| ...

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Q: dy of y = (t + 6)(t +5)(t + 3) 1 Use logarithmic differentiation to find the derivative,

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Q: Solve the equation dy y° – y, - dx? dy giving that dx 0 when y = 1 and y = 2 when x = V2. %3D

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x+4y +4y ...

A: The given function,x2+4y2+4y=49; dxdt=2 when x=7 and y=-1

Q: (0)

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Q: 4. Suppose that f(4)= 2, g(4)=5, f'(4)=6, and g'(4)=-3. Find derivative h'(4) in (a) - (d). (a) h(x)...

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Q: dy x + ( 1+x)y = e -x sin2x dx

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Q: csc2tdt In csc2t- cot2t +C A) True False

A: topic - indefinite integral

Q: You are given the graph of a function f. 1 Determine the intervals where the graph of f is concave u...

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Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6500. ...

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Q: cose Evaluate the integral: de. V4- sin?e (A) None of the given choices -sn(글sne)+c B (ane) e -1 sin...

A: The solution is given in the next step.

Q: _7. If y = 6e5, then dx dy %3D 30e4. 9. If y = cosx, then the nth derivative of y with respect to x ...

A: We want to check true or false.

Q: Differentiate. y = eP(p + pVp) y' =

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Q: secytany In dy, the integrand is 4secy +9 4.secy + 9 A True B) False

A: Integration

Q: Exercises 17–18 shows the distance, s(t), in feet of a scooter from home at time t seconds. Find its...

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Q: xdx Evaluate: 5+x? A 21n(x2+5) + C B In(x2+5) + C © In x²+5 +C 2 D In Vx2+5) +C E) None of the given...

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Q: Let A = f1) be the amount of money in an account, in dollars, t months after an initial investment o...

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Q: Let {an} be a sequence of non-negative numbers. Suppose that the sequence {an} converges to a > 0. S...

A: Let {an} be a sequence of non-negative numbers.

Q: dx In then the integrand is the same as 4e +1 4+e A) True B) False

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Q: Which of the following integration expression can be transformed into integral of power (Choose 2) 5...

A: Solved below

Q: x--x+1 Evaluate: dx A 2,½_2,½-22+c 3 B 2 2 2

A: We have to find out the solutions

Q: xdx 5+ x

A: We will solve the integration. 

Q: You deposit $1200 in an account with 3% annual compound interest. Complete the following, assuming y...

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Q: The distance in feet of a particle from some fixed point is given by the following function, where t...

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Q: Find the average value of 3 f(x) = x² V94 + x³ on the interval [0,3]. favg =

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Q: Question 4 e an -15i gech (e an-151) dt 'sech Evaluate: 1+25t2 A -tan-'e tan -151 +C 2 -tan -'e tan ...

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Q: '8х — 16dx 3D2 :- 2 dx

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Q: Find the zeros and their multiplicities for f(x) = 2x°+9x* +7x³ 1(multiplicity 1), 7/2 (multiplicity...

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Q: Given 2= e tan Find Zxy and Zyx

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. x2 -...

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Q: 4x +1 Find the inverse of f(x) 2x + 3 f (x) = Question Help: D Video Message instructor D Post to fo...

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Q: 5e2*dx 9ex – 6e2* + 1 (A 3e 2x B 3e2x – 2 (©) 3e2x – 1 D 9e 4* – 6e2* + 1 E None

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Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

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Q: A function F (x) is called an antiderivative of a function f (x), if (A F (x) =f (x) B F (x) =f (x) ...

A: A function F( x) is called an antiderivative of a function of f( x) .  If F'(x)=f(x)

Q: x + sinx dx. Evaluate: 2x- cos/x (A + C 2 2x+ cos/x B + C 2 © x-2cos/x + C x +2cosx+ C E None of the...

A: Let √x=t then solve it. 

Q: | esc2tdt = In|csc2t – cot21| + C A) True B) False

A: To find out that the given integration is true or false.

Q: e -3 E y, Ax2 e-3* cos(4x) + Bx2 e4* sin(-3x) F yp = [Ax³ + Bx2 + Cx]e-3x

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Q: Which of the following is equivalent to the integrand of ((sin(Inx7))? Which of the following is equ...

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Q: A function F (x) is called an antiderivative of a function f (x), if F(x)=f (x) B F(x)=f (x) F(x) =f...

A: topic - derivative and integration

Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: If two functions F and G are both antiderivative of the function f then F(x) = G(x). A True B) False

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Q: Find the point(s) on the graph of the following function where the slope of the tangent line is equa...

A: Here, the given function can be written as: f(x)=x+7x-7=x-7+14x-7=1+14x-7

Q: Instructions: Determine the derivative of the ff. functions 1. y = 6x4 + 7x³ - 8x² + 9x - 10 2. y = ...

A: According to guidelines we can solve only first 3 subpart. Please resubmit the others. Thank you.

Q: x2dx ²dx 5+ x2

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Q: Question 2 The coefficient of Sec(x) when J (tan(x) – sec(x))-dx was evaluated is Blank 1 (use numbe...

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Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies a...

A: Given:    y = 10 - 2x 

Q: 5. Determine the following limits. If infinite, specify co or - 0o. If an answer does not exist, exp...

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Q: x+ 2, x > 0 (-x-6, x < 0' 1. Consider the function f(x) = Use table of values to find the limit of t...

A: The given question has been solved in detail.

Q: Find the limit of f as (x,y)→(0,0) or show that the limit does not exist. 2x f(x,y) = x? +x+y? ... I...

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