graph of f(x) =÷ at the point ( 1,-). %3D

Q: 1 dx (use trigonometric substitution) x/1+x6

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A: We have to find critical points of f(x,y).

Q: 2. SS y' e ř drdy D: x=0, y=l,y= 2

A: Given: I=∫∫Dy2e-xy2dxdy And D: x=0, y=1, y=x2 We know that; ∫eax+bdx=eax+ba+C And ∫a·fxdx=a·∫fxdx, w...

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A:

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A: Given:    ( √2 - √12 ) , ( √3 - √13 ) , ( √4 - √14) .......

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A: We have to find polynomial

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A: Taylor polynomial

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A: Given:- y=x3/3 +x2 -24x+25  To find:- Relative maxima Relative minima  Horizontal points of inflect...

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A: The given function,    f(x)=7sinπx ; 0<x<2π

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Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two decima...

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

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Q: d²f , df_ (a) +5- - + 6f =0, f(0)=1, f(0) =- 4 dt? dt

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Q: Answer the following True or False: If g(x) is the inverse of a differentiable function f(x) with de...

A: Find your answer below 

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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Q: 20 18 16 14 12 10 8 D 6. 4 0 1 3 4 6 7 8 9 10 11 12 Quantity Suppose that supply and demand at a mar...

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Q: O Atte Evaluate the limit. (Use symbolic notation and fractions where needed. Use the symbol co for ...

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Q: 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1 ...

A: The guven function,  f(x)=1x-1, x+2y+7=0

Q: Find the Taylor series generated by fat x = a. 3 f(x) = a = 1

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Q: Use substitution to find the Taylor series at x = 0 of the function 15 sin (-x). ... What is the gen...

A: This question is based on Taylor series expansion of sinx .

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Q: az and əs az e the Chain Rule to find for z = x²y3, x = s cos t, y = s sin t. at

A: We have to find derivative by chain rule

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Q: Find: Zx, Zy, Zxy Zyx , Zxx Zyy Xy 군= e Lny

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: (х — 2)(х + 2)(г+ 1) (г + 3)(ӕ + 1)

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Q: 8. Evaluate the limit. VI +5+ (In x)10 3/T+10+ (In x)20 (a) lim

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Q: sin x lim 1-e* x→0

A: Given query is to find the limit of the expression.

Q: dy (c) -y = e* sin(2x) Integrating Factor Marks] y = 1 when x = 0

A: This question is based on solution of linear differential equation.

Q: Use the ratio test to find the radius of convergence of the power series. 00 4x" Σ n=0 3" (n+ 1)

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

A: Given:       y = √(4-x2 )

Q: Evalvate the limit lim Cosx In(x- In

A: Given that: limx→π+cosx.ln(x-π)ln(ex-eπ)

Q: Evaluate the improper integral. 9. 3x²e* dx (Express numbers in exact form. Use symbolic notation an...

A:     ∫-∞9 3x2ex=3·∫-∞9 x2exdx=3x2ex-∫ 2xexdx-∞9=3x2ex-2exx-ex-∞9=195e9

Q: 3. Consider the curve C defined by the vector-valued function R(t) = -2):+-3)j+ cos(t – 2)k, - oo <t...

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Q: If f(r) 5 sin (2²), find f'(x). Find f'(0.5).

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Q: 3. lim f(x) = -2, 4. lim f(x) = +00, X-2- lim, f(x) = 2 and f(2) = 0 lim 1437(x) = -0

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Q: Suppose that lim (x,y)→(3,1) f(x,y) = 6. What can you say about the value of f (3,1)? What if f is c...

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Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

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Q: Calculate the first four terms of the sequence, starting withn = 1. bj = 2 1 b, = bn-1 + bn-1 (Give ...

A: b1=2bn=bn-1+1bn-1

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A: Given that, There is a table of sleeping hours (z) and lectures (x) for giving the grades to the stu...

Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

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Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

A: Follow the procedure given below. 

Q: Akash displacement from whom is is measured in MI by the function it is equals to

A: Akash displacement from whom is is measured in MI by the function it is equals to   

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

A: