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Q: if f(x)=integral t^3+5t^2+6, from 0 to x. what is f''(x)=?

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Q: Calculus Question

A: since u have asked multiple questions in single request so we will be answering only first question.

Q: Use Hooke’s Law to determine the work done by the variable force in the spring problem. Six joules o...

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Q: Find the center of mass of the given system of point masses lying on thexaxis. m1 = 0.1, m2 = 0.2, m...

A: Given:

Q: Determine where the graph of the function f(x)= 2x-V49-x is concave upward and where it is concave d...

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Q: Plot the pair of points and find the slope of the line passing through them - (0, 0), (−2, 3)

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Q: A cone-shaped tank with the tip down has a radius of 10 ?? and a height of 20 ??. We lead water into...

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Q: Calculus Question

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: Use separation of variables to find the general solution of the differential equation. y- dx 4 cos(T...

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Q: Find the area of the region R bounded by y2=a2−ax, y=a+x.

A: Consider the given curves Let sides of the equations are the same. Equate right sides, The limit o...

Q: The relations cosh(i t) = cos t and sinh(i t) = i sin t were discussed in the Excursion. Use these r...

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Q:

A: Given:

Q: Where does the parametric line (2 + 2t, t, t)intersect the plane x + y – 3z = 4? A) (4, 1, 1) B)1 C)...

A: The parametric line is given as (2+2t,t,t). and equation of line is x+y-3z=4 From the parametric lin...

Q: i want an answer of question number 13.

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Q: Describe the intervals on which the function is continuous. f(x) = (4x2 + ...

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Q: S(12x + 5) f'(6x²+ 5x + 2)dx с.

A:

Q: Use integration to find the general solution of the differential equation. (Use C for the constant o...

A: Given

Q: on the interval [4,16]

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Q: 40. Find the circulation of the field F = yi + (x + 2y)j around each of the following closed paths. ...

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Q: THE INCLINATION Of A MOUNTAIN IS 35 D EGREES. A SENSOR IS PLACED 500 FEET APART FROM THE EDGE OF THE...

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Q: Find the asymptotes of the functionf(x)=x+√x2−1.

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Q: Solve the equation dy /dx = k y

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Q: Perform the indicated computations. Write the answer in scientific notation. If necessary, round the...

A: Given, (5.1 x 10-8)(3 x 10-4) We have to answer in answer in scientific notation.

Q: 1. Draw the vectors i = (2, 5) and i = (-1, 3) and: a. Show geometrically how to get the vector i – ...

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Q: 8. Find f(x) dx if S4 for x 2 4 {: for x < 4 f(x) =

A: Given function is

Q: Find the consumer and producer surpluses where p=-0.00625x^3+100 is the demand function and p=0.025x...

A: Given:

Q: differentiate the equation

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Q: Evaluate the integral. /2 sin t dt T/4 O a. -0.293 O b. 1.707 O c. 1.507 O d. 0.707 e. 1.207

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Q: Testing for conservative vector fields Determine whether thefollowing vector field is conservative (...

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Q: If ƒ(x) = x + 5 and g(x) = x2 - 3, find ƒ(ƒ(x))

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Q: 3x2-2 lim 7x²+3 X+ - 00 O a. 0 O b. 3 7 3 C. 7 O d. -. 2/3

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Q: Determine whether the following integrals converge or diverge. If they converge, find the value of t...

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y ...

A: concept of integral :

Q: Consider the vector field F = ⟨ 1 , y ⟩ .Compute the path integral of this field along the path: st...

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Q: Compute the path integral of F = ⟨ y , x ⟩ along the line segment starting at ( 1 , 0 ) and endin...

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Q: Evaluate the limit using l'Hôpital's Rule. x3-64 lim X-4 X-4 а. 48 O b. 12 O c. 16 O d. 0

A:

Q: (a) Find the intervals of increase or decrease.(b) Find the local maximum and minimum values.(c) Fin...

A: As per authoring guidelines the first three sub parts of the question is answered. Please repost the...

Q: graph the points z = x + iy that satisfy the given conditions. 5. a. |z | = 2 6. | z - 1| = 2 7. |z ...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: Show that 13x - 12 can be made as small as desired by taking x close to 4. lim(5x + 2) = 17x➔3

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Q: Find the general solution of the first-order linear differential equation. dy + 9y = 27 dx %3D

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Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: The first term of an arithmetic sequence is 13, and the tenth term is 5. (a) Find the common differe...

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Q: Find the length of the curve, L. y? = 16 (z+ 3),0sIs1. y > 0

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