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Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)*. Determine the…

A: The given function G(x)=x+ex2

Q: Column A Column B xy = 2 A. 3x y - x = 5 B. 3. 3y(y – 10) + 24x = 0 C. (x – y)² = x + y – 1 D. 5.…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Differentiate the function: a) f(x) = e10z–2» = el003-2x b) f(x) = Vª + 2 c) f(x) = (4x7 – 2x*)5

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Q: P(x) = - x° + 9x + 165x - 400, x2 5. Find the number of hundred thousands of pillows that must be…

A: Given query is to find the maximum profit and the time when it occurs.

Q: 11 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: topic - application of derivatives

Q: -2 -1 0 1 3 5 6

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Q: Evaluate the limit. (Use decimal notation. Give your answer to two decimal places.) cot(7x) lim x→0…

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Q: 5х lim V3x+9–3 x→0

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Q: Y = x**

A: Given query is to find the derivative.

Q: The marginal cost of a product is modeled by dC 16 dx 16x + 7 where x is the number of units. When x…

A: Given query is to find the cost function.

Q: farmer has 150 m of fencing available to enclose a rectangular area along ne enclosed area will also…

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Q: on 2 Determine the radius of convergence, R, of the following power series. Remember the radius of…

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Q: The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each…

A: As per the Bartleby answering guidelines if a  question with multiple sub parts is uploaded then an…

Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn - 9" n=1 Then determine whether…

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Q: 5. Solve: x4-log2 x = 16 %3D

A: To solve the following equation.x4-log2 x=16

Q: 0; x 0

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Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: The area of a healing wound is given by A = ar². The radius is decreasing at the rate of 4…

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

Q: Ja (2) Suppose that F'(x) = f(x). What is the integral from a to b of f(x), with respect to x?

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Q: You are designing a dome house in the shape of a hemisphere with a 60.0 ft outside diameter. (Round…

A: Note: According to policy of our company we will solve the first 3 sun questions. If you need the…

Q: Let x = 0.29 and y = 4.03. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal…

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Q: Evaluate the integral over the rectangle R: (a) |/ ev dA, 0 < ¤ < In 2, 0 < y < In 2 R (b) dA, 0 < x…

A: As we know that; The Power rule; ∫xndx=xn+1n+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C   (a). Given:…

Q: The figure shows the graph of a cubic polynomial. 1,e 1,0 -6 The function graphed is f(x) = Hint:…

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Q: Calculate L3, R3, and M3 for the following function over the interval [0,3]. f(x) = Vx + 1

A: The given function f(x)=x+1 over the interval [0,3]

Q: Differentiate the function. (4t + 1)3 (5t – 1)4 F(t) = In F'(t) =

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Q: y = cosx sinx

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

Q: d Use the table below to find [g(x) – f(x)]| dx |x=2 1 2 4 f'(x) gʻ(x) 4 1 2 1 2 4 d [g(x) – f(x)1]…

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Q: (a) f(x) = x² – 2x , [0, 5] (b) f(x) = x³ – }z² , [–1, 2]

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Q: 18. x² Cos(xe) find Taybrs Series using power X=0 Series operations.

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Q: 00 Expand the function in a power series a,x" with center c 0. Find a,x". 8+7x

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Q: 12. f(x) 2x+4x-1 at x=-1

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Q: 2. Find the limiting values of 3x2 + 5x-4 (i) 5x? - x +7 as x → 00

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Q: 6. The coefficient of Sin(x) in the antiderivative of F(x)=| co is Blank 1 (use fraction form not…

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Q: Evaluate: Jx?cos(2x)dx

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Q: Given  fx=-x+42-7, what is true for vertex point?   Max., (4, -7)…

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Q: f (x) 4 2. (2, 2). -6 -4 -2 2 6. -2 -4 -61 4.

A: Given query is to find indicated limit.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: sin x e dx Co x

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Use the first principles definition of the derivative to find f'(x) where f(x)=3x2 - x

A: This question can be solved by applying the concept of limit which is used to define the first…

Q: 27 Зx dx

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Q: g(x)=arcsec(4e^x) Find the derivative

A: Find the derivative of the function.      g(x)=sec-14ex

Q: a right circular cone has a base within the radius 15 cm long. its height is 20 cm long. it is then…

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Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

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Q: Evaluate the triple integral. 3xy dV, where E is bounded by the parabolic cylinders y = x² and x =…

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: Determine limx→−2 6/x-2, if it exists

A: limx→−2 6/x-2 yes limit exist and we can direct apply the limit so put -2 in given function…

Q: Graph the inequality. y> 2-4x Use the graphing tool to graph the inequality. Click to enlarge graph

A: Given query is to graph the inequality.

Q: Find the change in revenue R (in $) for the given marginal function. Assume that the number of units…

A: Solved below

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A: