Suppose the position (in s(t) = -2t2 + 12t for 0 s %3D a). Find the velocity fu stationary, moving to th. b). Find the acceleratio- increasing? c). Graph s(t), v(t), a(t

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A: From The Graph : The firm will produce 40 units output. Average Total Cost = 20 Now, Average Total c...

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Q: Find the area of the region bounded by the graphs of y = x2 – 6 and y – 3 = 0. %3D

A: Given: Two curves y=x2-6 and y-3=0

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A: We have to find given sequence bis converge or not and also find its limit.

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Q: 343 – x3 lim x → 7 x – 7 - 147 - O 98 -28 147

A: Topic:- limits   

Q: . In the linear differential equation of the form, P. (x)y(n) +Pp-1 (x)yln-) +...+P-1 (x)y' +P, (x)y...

A: Topic:- differential Equations  

Q: 19. The solution to (2x – 4y – 3)dy = (x – 2y)dx is: a. 6y – x? – 4xy + 4y? = c b. 6y +x? - 4xy - 4y...

A: Let x-2y=v  According to guidelines we solve only first question.  So, please again upload 20th ques...

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Q: Which of the following differential equation can be solved using separation of variables? a. (x-2y)d...

A: Topic:- differential equations

Q: Va – V22 lim x → 22 х — 22 - (Use

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

Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute u=ln(5w2+1)→dudw=2ln(5)w*5w25w2+1→dw=5w2+12ln(5)*5w2*wdu=12ln(5)∫1...

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A: first we have to put y' = 0 to find the equilibrium solutions of the equation.  then we will get t =...

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

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Q: 9. What is the solution of (x? + 2xy – 4y² )dx – (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x?...

A: This is homogeneous differential equation. For solving this we will assume,  Y/X = V dy/dx = v - xdv...

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Q: The function g is related to one of the parent functions described in an earlier section. g(x) = 13x...

A: Answer B: f(x) =xg(x)=3 xConcepts:Vertical shift of a units: (up or down)g = f± aHorizontal shift of...

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Q: Evaluate. Show all your worH In x -dp- 1 5

A: Here, to evalaute the defiite integral: I=∫5∞ln xx2dx...(1)

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Q: Evaluate. Show all your work. In x dx .2

A: Given integral is improper integral, just use the rule of improper integral and then substitution me...

Q: B. Describe the intervals wherein the function is continuous. 1. 2. 10 10 8- 8- 6- 4 2 -10 -8 -6 6. ...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

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Q: m of the coefficient/s when we evaluate (sec(x) e given choices

A: We will find the sum of coefficient. 

Q: The value of k so that (y³ +kxy* – 2x)dx + (3xy? +20x?y³ )dy = 0is an exact equa is: а. 10 С. -5 b. ...

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x

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Q: ind the derivatives and simplify answers: a). f(x) = tan-(e4"), (b). g(x) = x² + 2r³ cot-- In(1+x²).

A: ddx(arctan(e4x))We know that ddx(arctan(u(x))=1u(x)2+1*u'(x)=1(e4x)2+1*ddx(e4x)=e4x*ddx(4x)e8x+1=4e4...

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Q: If y = x – 1, find the length of the graph of f from point x = 0 to x = 1. 3

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Q: Scot y dy PROBLEM 4 : PROBLEM 5: J (8x* – 6x + 12x – 9) dx

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Q: Write the first five terms of the sequence: |{Vn² +7n Determine whether the sequence converges, and ...

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Q: Factor the difference an+1 - a, to show that the given sequence {a,} is strictly increasing or stric...

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

Q: 13. Which of the following is the solution of [2x+ycos(xy) dx +xcos(xy)dy = 0 x² +cos(xy) = c b. x? ...

A: By see this solution in below

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A: Given, P(T,V)=(8.31T)/V At centre V=12litre and T=310k

Q: e dx PROBLEM 2: J 5e -4 2 csc" wdw cSC PROBLEM 3 : 1+cot w

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Q: dy ay +b whose dt Write down a differential equation of the form all other solutions diverge from y ...

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Q: Evaluate

A: We will solve the integration. 

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

A: Given integral is solved below in detail.

Q: 15. The integrating factor to (2y? +3xy – 2y + 6x)dx + x (x +2y – 1)dy = 0, to make it an exact diff...

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. If the differential equation ...

Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: Tangent Line Approximation >0 AP Calculus AB Tangent Line Approximation Discovery Let f (x) = 2x3 – ...

A: As per bartleby guidelines we only give first three questions answers. 

Q: In Problems 33-48, find the intervals on which f(x) is increasing, the intervals on which f(x) is de...

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