Use the graph of g(x) to answer each question. O

Q: 1. Evaluate (i) dy dx, 3

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Q: Example 2: Find the Fourier series 1, - 1<x < 0 f(x) = { 1," 0 <x < 1

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Q: you have two results for p= technically which one is the correct reference?

A: We have to find the value of p.

Q: Sketch the curve given by the parametric equations x= t³ - 1 and y= t² + t. Construct a table with…

A: Given problem:- Sketch the curve given by the parametric equations x= t3 - 1 and y= t2 + t.…

Q: A triangle has variable sides x,y.z subject to the constraint such that the perimeter is fixed to 24…

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Q: DO NOT include spaces in between characters. * The point (3,2)is is on a curve, and at any point (X,…

A: The slope of the tangent at any point (x,y) on the curve y=f(x) is dydx(x,y)

Q: -2 2 7e" + dy -5

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Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

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Q: SET-UP ONLY the definite integral that will give the area of the region bounded by y = x +1 and x =…

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Q: 1. Get the first derivative f': 2. Find the factors: 3. Find the critical numbers: 4. Get the second…

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Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Let's find rate of the increasing the  volume.

Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. af and Or 1, 0 = 6 Find -when r

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Q: Find two non negative integers whose sum is 25 and whose product with the square of the other number…

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Q: 1-f e*. Inx dx ex. Inx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Solve the problems below using the following steps;                                             i.)…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on * an average…

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

Q: Find dyldx* y= : dy dx x+ xy In(x) y dy dx x + xy In(x) O Option 2 Option 4 dy _ x – xy In(x) dy y…

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

Q: 1. How to solve the values of x to find the critical values of the graph of a polynomial function?…

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Q: For the function f(x.y.z) = sin'(5xyz), find fy. fy. and f (Type an exact answer, using radicals as…

A: f(x,y,z) = sin-(5xyz) fx = derivative with respect to x fx = 5yz/1-25x2y2z2 fy = 5xz/1-25x2y2z2 fz =…

Q: 1. Find dy for each of the following: dx 2-x2 a) y= In² 1+x y = Vx+e* c) y = 52r+3

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Q: dy (x– 2)³ · (2x + 1)ª Find if y = dx|, e2x . Vx+8 Use logarithmic differentiation.

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Q: 4. Find the maximum value of f (x) = In(x – In x) on the interval -sse. e

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Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

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Q: he function f(x) = xe" has one critical point. Find and classify it. (x) has v at the critical point…

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Q: 1. Find -for each of the following: dx e) y =x* Inx f) In(x + y) = e*=y g) y = x2r-5

A: Here we have to find dy/dx .

Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: Let the width of rectangular region be ' w '

Q: Which of the following is correct? * 3 3 (3 In(x²)) = dx (3 In(x²)) = dx Option 1 O Option 2 d 6 (3…

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Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: 1014x + y – 3z = -3 0-x-3z = 13 Bx +5y-4z = 20 %3D

A: Given equations 4x+y-3z=-3              (1) -x-3z=13                   (2) 3x+5y-4z=20…

Q: of Find and dy f(x.y) = /2x + 3y? df (Type an exact answer, using radicals as needed.) dx II

A: We can solve this as follows:

Q: CROSS OUT the graphs that have a greater horizontal magnitude than a vertical magnitude. т Zヒzレ ビビ

A: We have to find the graph that have a greater horizontal magnitude than a vertical magnitude.

Q: 8. If y = (x* +2x²)e2* determine an expansion for y(5). %3D [y(5) = e2x24(2x³ + 19x² + 50x + 35)]

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Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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Q: The volume for solid of revolution between the curves y = v(49- x^2) and y = 0 around the x - axis…

A: Let's find volume of solid of given curves.

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: Consider the level surface given by 2a? + 5y + 2? 4. Match the slices with their correct plots…

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Q: Find all the second-order partial derivatives of the following function. 9 f(x.y) = x°y° -x +y" 5 3…

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Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b.…

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Q: Find an equation of the ellipse with foci at (-4, 3) and (-4, –9) and whose major axis has length…

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Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: 1. Find dy for each of the following: dx d) y = e +x° +e° e) y = x° Inx 1) In(x + y) = e*-

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Q: Use logarithmic differentiation to find dy/dx. y = Xx + 42 x > 0

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Q: 2. (sec 5x t Csc 5x) dx

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Q: The area between the curves f(x)=x and g(x)= x^2 on interval [0,2] O 2

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Q: y= v16-x -4 -2 2

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Q: L(sin 2t cos 2t)

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Q: The graph, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is ....

A: This question can be solved using the concept of volume of solid generated when curve is rotated…

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

A: To find the horizontal and vertical tangents to the given curve.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: Given query is to find integral converges or diverges.