Use the substitution method to find the power series representation of the function using the formula 00 Σ 1 1-x n=0 f (x) = 1+2x

Q: y = – 1/1+ Vx 3

A: Here we will find the derivative,

Q: What is the average rate of change of f(x) from x1 = -0.2 to x2 = 7.8? Please write your answer roun...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: Find and by implicit differentiation for y = sin y – x.

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Q: use implicit differentiation to find

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Q: lim -7 tan x X→(11r/2)

A: solution given below

Q: 3. The graph of f(x)= { 3, x≤-1     (x-1)2, x>-1 is shown below. Evaluate lim f(x) x→-1-. a. The li...

A: (3). The given function is:f(x)=3              x≤-1(x-1)2x>-1

Q: dentify the level curves of f(x, y, z) = x² + y² + z²

A: Given question:- Identify the level curves of f(x,y,z) = x2+y2+z2

Q: Above is a representation of sin 0 = where < 0 < and cos B = where < B< 2. Find 97 cos(0 - B). *Leav...

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Q: Evaluate the indefinite integral. | cos*(3x) dx

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Q: lim 2 tan 2/ TC 2. 8IN

A: Solving the problem by finding the value of the limit.

Q: Find a formula a, for the n-th term of the following sequence. Assume the series begins at n = 1. 1 ...

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Q: Determine the domain of f(x, y) = / x² + y² – . -

A: This question is based on finding domain of function.

Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

Q: Solve 3y fip %3D dr 2x

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Q: Find f-(x, y, z) in the function f(x, y, z) = a?y*z + ay +? +1. %3D A. fa(x, Y, z) = 4x²y°z* + x %3D...

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Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

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Q: 15) Find the slope of the tangent line to the given polar curve at the point specified by the value ...

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Q: rsin 28x /ī+ t² dt and If f (x) = So g (y) = ' f (x) dæ., what is g" (6s )? 168

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Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

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Q: a) Enter a definite integral that gives the volume of the solid when the region above is revolved ab...

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Q: Let f(x) (8 sin r + 9 cos I)tan f'(x) =

A: Topic = Derivative

Q: Find the general term of the sequence, starting withn 1. Determine whether the sequence converges, a...

A: The given sequence,19, 195, 1952, 1953,........

Q: 13) Find the radius and interval of convergence of the power series (-2)" (x+3)" 3

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Q: arctan dx

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Q: answer

A: Please refer to the image below

Q: Consider the following function. +] - 2x + 2 3 2 (a) Find y'-f"(x). "(x) = (b) Find the critical val...

A: Topic = Derivative As per guidelines , At  a time only three sub-parts can be answered.

Q: If f(x) = 5 sin () , then f'(x) =

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Q: Given the function: f(x, y, z) = x²yz + xy+ +1 find: fz(1, 2, 3)

A: We will find fx1,2,3 in the following step.

Q: Consider the series. (6)-()' - (3)'- (3)' -- + + This series can be written as a geometric series in...

A: Given that: 83+832+833+834+...

Q: h3-4h 3. lim h-2 h3-2h2

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Q: dz Find in the function xyz + 5xy = x² + y? + z? dy 2x – yz – x2 dy A. dz - - xy – 2z В. dz 2x – yz ...

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: 1. Find by implicit differentiation for xe = 2xy + y³.

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Q: Find the series' radius and interval of convergence. Find the values of x for which the series conve...

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Q: Determine the general solution for each given higher-order differential equation or particular solut...

A: Here we have to find out the solution of the given differential equation

Q: Use the graph of f (x) = – below to find a number & such that f (x) – 0.25| < 0.1 whenever 0< |x – 4...

A: Here, f(x)=1x is the given function.

Q: If f(x) = 3 sin '(x°), then (2"). f'(x) -

A: Given: fx=3sin-1x5   We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 The deri...

Q: y : 3

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Q: Find the inverse for the following function f(x), and find the domain and rang for f(x): x+2 f(x) = ...

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Q: a) Write down 1D advection equation (advection is convection without diffusion) b) Find the correspo...

A: he wave equation is closely related to the so-called advection equation, which in one dimension take...

Q: |sin² xcos“ xdx

A: The given integral is: I=∫sin2(x) cos4(x) dx

Q: What is the inverse laplace of 8/5 * L-1(1 / (s2 + 4))

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Q: Find the general term of the sequence, starting withn = 1, determine whether the sequence converges,...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Give your answer to one ...

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Q: Find the indefinite integral in each of the following. Show all necessary solutions. xdx 1. 3-2x-x2

A: Given that a integration and we solve this problem by using general property of integration.   We kn...

Q: Determine whether the improper integral converges and, if so, evaluate it. (Express numbers in exact...

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Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

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Q: 3. Below is his graph. Is his graph correct? If not, explain what mistake(s) he made. TO 8. Brian gr...

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