If f(x) = x²/(1+x), find f "(2). f"(2) =

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Q: A large, well stirred tank with 500 gallons of beer contains 4% alcohol (by volume). Beer with 6%…

A: A large, well stirred tank with 500 gallons of beer contains 4% alcohol (by volume). Beer with 6%…

Q: √x+1 x-1 x-1 a) lim 72²²x²-1 2. X X c) lim x→0 b) lim x³ +8 x→→→2 x+2

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Q: Given the functions f(x) = x² − x and g(x) = 2x − 3, evaluate and simplify the composition f o g.

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Q: 2) Apply the divergence test and state what it tells you about the series & [KO K² + k + 3 3K²+1

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Q: A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the…

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 5. R is the…

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Q: 1. Find the polar coordinates, - ≤ 0 < 2π and r ≤ 0, of the following points given in Cartesian…

A: According to bartleby guidelines we supposed to do the first three of multiple subpartskindly repost…

Q: = 5 = [3, 6, 2] and ☎ = [0, 0, 8], find a unit vector perpendicular to both 5 and 2.

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Q: 1. у ул y=3x - x² 0 y=x (2, 2) AX

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Q: Show that y = √√C-2x² is a solution of the differential equation particular solution that passes…

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Q: Draw a sketch of the graph of f(x) = 2√x + 1 − 1. Explain the trans- formations of the graph of…

A: Explaination of the answer is as follows

Q: State the horizontal asymptote for the function h(x) = -e - 10:

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Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: Consider the following. f(x, y) = 4y У4 2 1.² y = 3x - x² 70 D y = x (a) Express the double integral…

A: Given,  then we have to answer the following...

Q: 5. Determine if the given function f(x)=x²-1 if x ≥ 1 (x+1 if x < 1 is continuous at x = 2?

A: According to the bartleby guidelines we supposed to do the first one of multiple questions kindly…

Q: Evaluate the following indefinite integral. 3 -dx

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Q: Determine the value(s) of x for which f(x) = -3x² - 5x20 has a horizontal tangent line. If there is…

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Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

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Q: (b) Find an equation of the normal line to the given surface at the specified point. -([ = (x(t),…

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Q: 19. F(x, y, z) = yî + xyz ĵ – 2zx k, where S is the upward-facing paraboloid z = x² + y² lying in…

A: 19) Where, S is the upward-facing paraboloid  lying in cylinder From above curves the radius of the…

Q: At which of the five points on the graph in the figure are first and second derivative both…

A: We need to choose the point at which both 1st and 2nd derivative is positive.

Q: Multiply. cis (3)cis (2)

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Q: The point P(25, 10) lies on the curve y = √x + 5. If Q is the point (x, √x + 5), find the slope of…

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Q: Given f(x) = 2x² + 1 and g(x) = 4x - = 4x - 6, find the following. (a) f(g(2)) (b) f(g(x)) (c)…

A: Given functions are,Under guidelines we are suppose to answer only 1 or 3 sub parts.

Q: List the points in the graph in the interval -2<x< 8 at which the function is not differentiable. -2…

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Q: Given the augmented matrix A = 1 2 -2 2 -2 5 -8 -17 H -2 4 perform each row operation in the order…

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Q: 24. y = x³, y = x 25. y = √√x, 26. y = cos x, 27. y = cos x, 28. y = cos x, y = 3x, 0≤x≤ 16 y = 2 -…

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Q: Southern Traditions sold the home decor division of their company 5 years ago and immediately…

A: Given:We are required to find:

Q: Use the Chain Rule to find dt where z = x cos y, x=t, and y = 6t²

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Q: (x - 1)(x² +64) (x - 1)(x² +64) Setting the numerators equal we can determine the following. A+B=0✔…

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Q: Let f(x)=(1) and g(x) = 2x. For all x-values, g(x) > f(x). O True 4 False

A: At x=0 then f(x)=(1/2)^0=1 and g(x)=2^0=1

Q: Using the substitution u = 1+x^2, convert the integral into one involving only the variable u. You…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: First, compute the gradient of the function p(x,y)=√23-4x²-3y². Then evaluate it at the point (2,1).…

A: Part a :The given function is,.Required -We have to find the gradient of the given function at…

Q: You have the following vector : v= You must determine the direction and length of it. You must also…

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Q: the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: We have to integrate the given function.

Q: dN A chemical substance has a decay rate of 8.9% per day. The rate of change of an amount N of the…

A: Solving the problem

Q: Evaluate the integral. 6² tep 1 30 6x² + 7x + 1 [² The integrand of x6x² + dx 30 6x² + 7x + 1 x7 x +…

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Q: Compute the following two indefinite integrals showing ALL steps. Remember to include the constant…

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Q: Consider the following. f(x, y, z) = x²yz - xyz³, P(2, -1, 1), u = (0, -—-. (a) Find the gradient of…

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Q: Use the disk method to find the volume of the solid of revolution bounded by the x-axis and the…

A: Region bounded by x-axis and Using Disk method , Volume of solid of revolution about x-axis will be

Q: If the number of bunnies B, increases at a rate proportional with the square of B, write the…

A: If the number of bunnies , increases at a rate proportional with the square  of , then to write the…

Q: Σπ=o2()n+3

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Q: If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x²…

A: Two function are given÷f(x) = 4x3+9x2+7x-3g(x) = 5x3+2x2+17x-3We need to find the area between the…

Q: I appreciate your assistance but the questions you answered were already completed. I need help with…

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Q: Suppose F(x) = f(x³), G(x) = (ƒ(x)) and: a² = 11, f(a)=2, f'(a)=14, ƒ'(a³) = 8. Find: (a) F'(a) =…

A: given given

Q: Use logarithms to solve the equation for t. 20 1 + 5e-0.6t 10

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Q: Find the dp dx p= antiderivative of the given derivative. ex +5e-5x 3 - (ex - e - 5x) ³ ||

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