Use logarithmic differentiation to find dy/dx for y= x^3 square root(2x-3)/(x+2)^2

Q: If fo =sinax find f'x)

A: Finding the derivative of the function using chain rule of differentiation

Q: Find the area bounded by the curves if x - 2y = 0 and x + 2y - 8 = 0. 1. For pt. of vertex x2 – 2y =...

A: (1)x2-2y=0y=x22for vertexdydx=02x2=0x=0vertex0,0(2)x2+2y-8=0y=8-x22for vertexdydx=00-2x2=0x=0vertex0...

Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: Find the area of the parallelogram that has u = i - j+ 2k and v = 3j + 2k as adjacent sides. V NOTE:...

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Q: 1 Let an = n > 3. n ýln n Without computing any limits, use the Monotone Convergence Theorem to dete...

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Q: Graph the piecewise-defined function. x-3 if xs5 f(x) = 2 if x>5 Choose the correct graph. OD. OA. O...

A: Consider the function 

Q: 1. Find the centroid of the infinite region in QIl enclose by the coordinate axes and the curve y = ...

A: Here we have to find the centroid of the infinite region in QII enclose by the coordinate axes and t...

Q: 7 dx x + 1 -1

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Q: 0 Given Sukiject to: find the vaplue x that wiU Minimine

A: Express z as in terms of x using constrain then use derivative to find x for minimising z. 

Q: Given: 1. v = 2i – 4j + V5 k, u = –2i + 4j – V5 k 2. v =i+k, u = 5i + 12j - 3 Find: a. u·v, [v|, Ju|...

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Q: y = cos(x In 3) log3 (sin x) is: y 3D cot(x) cos(x In 3) – sin(x In 3) In(sin x) y' cos (x In 3) - s...

A: As we know that; The Chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g'   And ddxlogax=1xlna...

Q: Two poles, one 8 meters tall and one 20 meters tall, are 25 meters apart. A length of wire is attach...

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Q: Please

A: We will find the measure of the angles. 

Q: 15. S 4cot 5x csc25x dx

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Q: 2. S(2 – 3e*) dx

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Suppose that the salinity S of ocean water at a given depth d is modeled by the equation S(d) = 31.1...

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Q: (f) dx /3 — 2х — г?

A: Question f,Given,           ∫x3-2x-x2dx

Q: 1 Σ (n +2)*¾ n=1

A: Find your answer below 

Q: Let f(x) = x ( +2)* and calculate %3D f(x) dr by using integration by substitution. What was your su...

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Q: If you have 140 meters of fencing and want to enclose a rectangular area up against a long, straight...

A: For constructing a wall, base of the wall can be neglected as it is the ground. So the other three s...

Q: Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k + 6k ...

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Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O ...

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: To estimate the bound of error for order one in lagrange interpolating .polynomial we drive-------ti...

A: solution

Q: dx -∞ (2x-1)3

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Q: 2. f f(x)= the cost (in dollars) of purchasing x candy bars, write a complete English sentence to ex...

A: Here, the given function f(x) is the cost (in dollars) of purchasing x candy bars.

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4 (d...

Q: The domain of the function f(x) = 3* – 4 is (Type your answer in interval notation.) The range of th...

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Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: S4 csc2 4x dx

A: Solution is written in below steps

Q: Solve the given system of differential equations by systematic elimination. dx 20y dt dy = x + z dt ...

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Q: Estimate the slape of the line rom Its graph.

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Q: . lim 3x2 - 9 X-0

A: Let L is the value of given Limit.

Q: Question 5: The 3×3 matrix M is given below, in term of a constant y: [y - 3 M = -2 1 y -2 -1 у -1 у...

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Q: esinxy arc tanx, Ssolve for a' 12

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Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

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Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

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Q: (x+ 2y - 1) dx + (2x +y+ ) dy - o LINE 1 let メ= u-1, dx = du ya v+, dy edy LINE 2 (u-1+2y + 1-1) du ...

A: Error 1 :-  Line 3   (u-1+2v+1-1)du+(2u-2+v+1+1)dv=0  CORRET LINE :- (u-1+2v+2-1)du+(2u-2+v+1+1)dv=0...

Q: Find the average value of f(x) = Vĩ on the interval [0, 25]. favg %3D Enter your answer as a fractio...

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Q: Directions: Evaluate the following limits using table of valuas. 2.) lim in 2t

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Q: a ctused Kectangutar box with a squar bare If base side is measured with evror at and the height is ...

A: We have to find error percentage. 

Q: by L'Hopital's rule 3sin e -1 lim

A: limθ→03sinθ-1θApply L-Hospital Rule

Q: Given the expression an = V4n² + 3n – 2n for n > 1 Check whether this is convergent or divergent: an...

A: The given sequence is a an=Sqrt(4n2+3n) -2n. 

Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

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Q: 2-x dr = - tn(4x* + 4x - 3) + 4x² + 4x – 3 16 (x + 3)*(x – 1)^ | F(x+2)* x+1 (x+ 3)(x + 2)(x – 1) x*...

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Q: 94= are tam 4 Sknk 345 cosx

A: y=arc tan(4sinx3+5cosx)dydx=11+(4sinx3+5cosx)2ddx[4sinx3+5cosx]dydx=4[(3+5cosx)cosx-sinx(-5sinx)(3+5...