1 Given the function g(a, b) = g(a, b) where suppose m %3D a²b+b a = cd b = c3 + 6d %3| дт The task is to use multivariable chain rule to compute for when (c, d) = (2, –1) дс

Q: V. Let f(x) be a differentiable function such that for all x > 1, f(x) • f(x) > 1, f'(x) (-1)" f(n)…

A: Solution is given below:

Q: (x+ 1)" of constant terms when x= 0 cent.

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Q: Determine if the improper integral dx converges or diverges. - If it converges, find its value.

A: To determine whether the given integral converges or diverges.

Q: ax²-3 -,x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .... (bx + 2,x…

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Q: 4х —Зx2+2х-1 Solution of lim is .... хэ0о 5x3+14x2—7х+2 4x5—3х2+2х-1 Nilai dari lim adalah .... х>0о…

A: The given limit is: limx→∞4x5-3x2+2x-15x3+14x2-7x+2

Q: x -x-2 True statement for ƒ(x)= is.... х-2 1. © f(x) continuous at x = 2 2. O f(x) discontinuous at…

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Q: 0 e1/x dx

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Q: Write the integral that would be used to find the area of the region bounded by x = 1, y = vx and y…

A: Given: y=x, y=-x+6, x=1   From the given curves and line the bounded region is as shown below; Now…

Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

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Q: x- 2 7) dx =

A: integration

Q: Find the area of the following regions. Graph the function and indicate the region in question: 2)…

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Q: Calculate the integral, assuming that f' f(x) dx = -3, f(x) dx = 3, f* f(x) dx = 10. %3D (Use…

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Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: x² + 2 (х - 2)(х2 — dx 2x + 2) **

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Q: Solve the following equation: 16ª = 8ª+1 O 3 O-3 O 1

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Q: 9. х%3D? +1,у%3г? + 2г. a) Find dy/dx t² +1, y = 2t. Show All Work and Give Answer In

A: Topic = Derivative

Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1

A: Radius of convergence of a power series of the form ∑n=1∞anx-an  is given by R=limn→∞anan+1 For…

Q: Determine if the given improper integral converges or diverges. If it converges, find its value.…

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Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

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Q: (cos2y — Зx? у?)dx + (сos2y — 2xsin2y — 2x3y)dy %3D0 - |

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Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

Q: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

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Q: . Find the sum of the following convergent series. Σ 00 3n+1 a. 6n-1 n=0

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Q: Find the general solution of the given system. 12 -13 X' = 13 -12 X(t) =

A: We have to find general solution.

Q: Using exact differential equation, determine the solution of

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Q: II. Consider the sequence (n + 2)! n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Given

Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: In(tan-1x) -dx 1+x?

A: Given,           ∫1+∞lntan-1x1+x2dx

Q: A(-4, 4), B(12, 12), and C(16, 0). Medians CD, BF, and AE are drawn. dians of triangle ABC are…

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Q: and such that the sum of their squares is as small as possible. Give the sum of the squares.

A: Given problem:- 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such…

Q: Why do we most often settle for just answering if a series converges instead of trying to find its…

A: This is a problem related to series and sum calculations. Based on the general concepts we will…

Q: ¥2/3 6. cos'x sin x dx 5.

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: y = log v2x + 5

A: i have provided this answer with full description in step-2.

Q: 12 A Super Happy Fun Ball is dropped from a height of 11 feet and rebounds 13 of the distance from…

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Q: dy Find dz and simplify: y = ln(2x + V1 + 2a²)

A: The objective of the question is evaluate the derivative of the given function.

Q: Given: Cn . Is the sequence {c, , convergent or divergent? tan-in

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Q: Find the complete solution of the differential equation using separation of variables dy 2х + 2ху?…

A: Given

Q: -1x) dx

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Q: 5. y = Arctan²(x³) 6. y = Arccos (

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Q: Find the area of the shac y y=xV4-x 2 y 0 21 y=0 2 square units

A: The region is bounded by the curve y=x4-x2 between x=-2 to x=2

Q: QI) Evaluate the integral dy dx using polar coordinate

A: To evaluate the given integral using polar coordinates .

Q: 3/2 Find the exact area of the surface obtained by rotating the curve x = ÷(y² +2)"¨,1<y<2 about the…

A: I have appended the formula used in the solution part.

Q: A mathematical model for the rate at which a drug disseminates into the bloodstream is given by dx =…

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Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: +00 (2х — 1)" n Σ V4n + 1 n=0

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Q: 3x-2 dy Find by logarithmic differentiation: y: da

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Q: .. ...... .. .. ... .... The formula for the volume of a cone is given below. Find the rate of…

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