Find dy if y =log Viax alog (L_x²) a .2

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A: Circference of circle is 2πr

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Q: SVa Inx dx

A: ∫xlnx dxBy using integration by parts=lnx∫x dx - ∫ddxlnx∫x dx

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A: To find the radius of convergence and interval of convergence use the following series tests. The c...

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Q: B) solve the to olloWiH 1 1. find (f0 g) if f(x) = 1+x2 and g 3-x 2. find domain and range x2 +2 %3D...

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Q: V12 2+3+ cos The value of sin cot cos V 4 + sin 4 12 is

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Q: Consider the given function m (x) = - 3x - 15x +148. (a) Write the function in vertex form. (b) Iden...

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Q: dy cos(x + y), when x = 0,y = %3D dx 4

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Q: Differentiate the following Algebraic function. 2x2 1.y = - V7 3x-2 2. y 2x+1 3.y =+

A: 1.y=2x2x2-x232.y=3x-22x+13.y=5x2+1x3Note :If multiple questions are given we have to answer only thr...

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A: A is positive definite means A has inverse

Q: iven k (x) = 3 (x + 3)² -2, perform the following. Part: 0/3 Part 1 of 3 (a) Identify the power func...

A: (a) The parent function for k(x) = 3(x+3)^3 -2 is the power function y=3  

Q: By completing the square, dx the integral J is equal to: (x+5)Vx2+10x+21 sec-1+c x+5| + C sec- | + t...

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Q: Examples Assume for a three variable function f(x,y,z) that the input combination xy=1 never occurs,...

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Q: (-1)"+'2nx" n+1, En=1 2 n¯ + 3

A: Given problem:-

Q: Example 8: Reflect the shape over x = 3. Еxam Find the coordinates of each image. W' X'

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 1. (Rew Echelon and Reduced Ro w Echelon Form). Which of the folowing matrices are in row echelon (R...

A: Note: A matrix is in row echelon form (RE) if it satisfies the following three properties:1. All non...

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Q: Find the derivative of f(y) = ee&4) (Y) f' (y) =

A: Given:      f(y) = ee^(y^4) 

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

A: The Maclaurin series expansion of ln (1-x) is: f(x)=-x-x22-x33-x44-...          ...(1) And is conver...

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Q: 0.3t ug -) of a drug t hours after being injected is given by C(t) : ml The concentration (in Find t...

A: The concentration of drug,Ct=0.3 tt2+38

Q: Verify that ɛ¡ikEjik = 6 . ijk ijk

A: Follow the procedure given below.

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A: We have to find the percent of the air will remain in the container, 6 seconds after opening the hol...

Q: Inx lim メ→」* メー

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Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

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Q: 3 y2 + yi = 1, when x = 0, y = 4 %3|

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Q: Find dy/dx by implicit differentiation. 72 – 5y? = 4 dy/dx = Need Help? Read It

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Q: 4. Family of curves defined by the equation y = e*+c 5. Family of plane curves defined by the equati...

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Q: Solve for the interval of convergence and show the solution for the testing of endpoints +0o (-1)"+1...

A: The given series is Summation of (-1)n+12nxn/(n2+3); n from 1 to infinity.

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A: Given; x=y, y=1x, y=3   First, we have to find the point of intersection between the curve y=1x and ...

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Q: Let h(x) = f(x)· g(x), and k(x) = f(x)/g(x). Use the figures below to find the exact values of the i...

A: Quotient rule: Product rule:

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A: Given I=∫sinx3dx To evaluate the integral I:

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Q: Find the volume of the resulting solid if the region under the curve 6 y = 2 x + 3x + 2 from x = 0 t...

A: To the  find volume.

Q: Determine the interval of convergence of n2 +1

A: Given problem:-

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Q: (x – x2 – y²)dx + (y + x² + y?)dy = 0

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Q: f(æ) = (62² – 5)*(5æ? – 3)" - f' (x) =

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Q: (-1)" (2n)! 27 En=1

A: The series is given by ∑n=1∞-1n2n!2n To determine: The convergence of the series using Series Ratio ...

Q: 5n+1 Determine if the series > converges or diverges and choose the option that describes the behavi...

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