If f(x)=x²-x²+-, then/"(2) =

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is…

A: Given the cost functionC(x)=6500+6x+0.01x2+0.0002x3   We need to finda.Marginal cost…

Q: f(x)=3x2+2x-5 g(x)=x2+7x-2 7 A BI

A: Given query is to solve the system of equations.

Q: Is the graph of g(x) = 4x³ + 9x² + 7x + 3 concave up or down at the point with X-coordinate -2?…

A: g(x)=4x3+9x2+7x+3

Q: The function f(x) is approximated near X = 4 by the third degree Taylor polynomial P3(x) = 2 - 5x -…

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Q: Let S(x)=In(x² - 4x+5)

A: first derivative

Q: Solve the following relations for x and y, and compute the Jacobian J(u,v). u=3x +y, v=2x-y U+V 5.y=…

A: To solve the following relations for x and y, and to compute the Jacobian Ju, v.u=3x+y, v=2x-y

Q: CSC X In the figure to the right, the equation of the solid curve is y= 4 dashed curve is y = 4 sin…

A: formula used is   cos(2x) =1-2sin2xsinx=1cscx∫csc2xdx=-cot(x)

Q: what if it's going up by ten percent more ? not 10$

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Q: If f(x) = then f'(x) = f'(3) = t³ dt

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Q: 4. Sketch the graph of a continuous function f(x) with domain [0, 2] which is differentiable up to…

A: f'(1) = 0  which means slope of function  is zero at x = 1

Q: Use the Laplace transform to solve the given initial-value problem. y' + y = f(t), y(0) = 0, where…

A: As we know that  L(au(t-c))=ase-cs, L(y')=sY(s)-y(0), L-1(1s)=1 and L-1(1s-a)=e-at,…

Q: Consider the differential equation -4y"" + 5y" - 5y' - 3y=0 with y(0) = -3, y'(0) = 3, y" (0) = 2.…

A: Consider the differential equation, -4y'''+5y''-5y'-3y=0 with  y0=-3, y'0=3, y''0=2. By taking the…

Q: An open-top box is to be made from a 12-inch by 48-inch piece of plastic by removing a square from…

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Q: Bernoulli's Equation Obtain the particular solution when x=3 and y= 2: 2xyy' = y² - 2x³

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Q: ind the radius of each circle if the area of the sector is 12

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Q: Use the Laplace transform to solve the given initial-value problem. y" — y' = et cos t, y(0) = 0,…

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Q: Prove the following integral converges to 1/2. et So dx (1 + ex)²

A: Use substitution method to solve

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

Q: Plot and label the points being described and identify the coordinates of the points. A is 5 units…

A: Topic = Coordinate geometry

Q: Question For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). 8118 f(x) = 1 − 2x²…

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Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2) =…

A: To find a polynomial of degree 3 with real coefficients and zeros of -3, -1, and 4 for which f-2=12.…

Q: 8. DETAILS A rectangular storage container with an open top is to have a capacity of 101 in.³. The…

A: Here we have given a rectangular storage container with a capacity of101 in3. And the length of the…

Q: Determine whether the following integral converges or diverges. π 2 So² cos (0) de √sin (0)

A: Given query is to find integral converging or diverging.

Q: The revenue from selling qq items is R(q)=150q−q2, and the total cost is C(q)=50+12q. Write a…

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Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(1) and F(7) 3 -1 2…

A: The area under  the curve f(x) from x=a to x=b is given by

Q: Now you need to use you equation to figure out what the height of the bridge is on either side of…

A: Concept: Any point on a parabola is at an equal distance from both the focus, a fixed point, and the…

Q: B. Using the definitions of limit and/or infinite limit, show that if limn→∞ sn = ∞, then also…

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Q: Find f(t). f(t) = <{{ e-s s(s+ 1) | +( | ) u(t -|

A: Given:     ℒ-1e-sss+1 Apply inverse transform rule: If      ℒ-1Fs=ft then  ℒ-1e-asFs=?t-aft-a Where…

Q: . If P(x) = 4x³-11x2 - 6x +9 is divided by x-3, what is the remainder?? b. 0 P(3) P(-3) d. a) and b)…

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Q: Rewrite terms of logg (3). logg (9) O 1. logg (3) logg (3) 2. - logg (3) log8 (2) 3. logg (3) logg…

A: Topic = Algebra

Q: Match each function with its derivative. Y 7. cos(x) + 7 - 08/23 x8 ✓8. x² + 3x 8 x³ + 7. √x 4. sin…

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Q: Write the first three terms of the sequence whose nth term is given by the formula. 1. an-n-1 1 4n…

A: To find the first term , we need to substitute n =1 in an . For second and third term substitute n=2…

Q: 1+x 1-x

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an…

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Q: A = B = 1 8 The linearization at a = 0 to √9+ 5x is A + Bx. Compute A and B.

A: Linearization  of f(x) at a is given by  L (x) = f(a) + f '(a)(x - a)

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

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Q: In 4-5, determine the intervals in which the function is increasing, decreasing, or constant. 4. -2…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: For what value of X does the function f(x)=x³9x² 120x+6 have a relative minimum?

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Q: For each of the differential equations given below, find the general solution using the fol- lowing…

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

Q: Given f(x) f(x) = ln (√x² + 3) find f'(x) f'(x) =

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Q: if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist, or "oo" or "-oo"…

A: Given query is to find indicated limit.

Q: Use the second derivative test to find the location of all local extrema in the interval (0, 2) for…

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Q: ladder sildes away from the wall at a rate of 1.4 ft/s, how fast (in rad/s) is the angle (in…

A: Given query is to find the rate of change of angle.

Q: Which of the following is the integrating factor of the given linear DE ? dy -- 10cos(2x)…

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Q: Find the point of diminishing returns (x,y) for the given function, where R(x) represents revenue…

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Q: A function is said to have a horizontal asyl infinity exists. Show that each of the following…

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Q: D Question 38 Let A = 03 O-11 O 11 O-3 [23 3 2 -17 4 13 1 Find C32.

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Q: For what values of p is the integal 1 x(lnx)P convergent?

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Q: lim √In(x) 1-0+

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Q: Let f(x) = tan ¹(sin(8x)) f'(x) = > Next Question

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