- Using Greens date $(x2 + y)dx bounding of the 0

Q: x(x² +y* )° (ydx – xdy)+ y dy = 0 Ans. (x +y)' = 6y° In

A: Put x/y=p and solve it. 

Q: Evaluate each of the following: 1. ſ cot 2v dv

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: We need to find parametric and symmetric equation.

Q: Let f (x, y) = 3x – 2²y. x = -t, y = s + 2t dz dz Use an appropriate chain rule (involving , , etc.)...

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Q: piece of wire 26 m long is cut into two pieces. One piece is bent into a square and the other is ben...

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Q: 3. y = 12 – 3x, y= 4 – x2

A: Given query is to find the area bounded by the curves.

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 15t – 1. (Give your answer as...

A: Slope of tangent line

Q: 5. x = 8 – y², x = y² – 8

A: This question is based on application of definite integral.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as ...

A: ANSWER IS GIVEN BELOW.

Q: The line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric...

A: The solution is given in the next step.

Q: Find for the following function. dx y=9 cos x sin x dy

A: Differentiate y with respect to x using product rule. 

Q: - 322 - 4x - 5 Set up but do not evaluate the integral to find the length of the arc of the curve y ...

A: Given query is to find the integral form arc length.

Q: Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of ...

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Q: 2. Tell one Solution to this graph. 1.

A: topic- inequality

Q: x dxdy Evaluate the following double integrals by converting to polar coordinates.

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Q: e)S 2х-4 dx х3+5х

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Q: Use an iterated integral to find the area of the region. dy dx = y 10 9 8. 7 6 5 4 3 2 1

A: As we know that; The equation of the line when it passes through the points x1,y1 & x2,y2 y-y1=y...

Q: For a given function f, what does f' represent? Choose the correct answer below. O A. f is the avera...

A: Solution: Given data, f is a function f' represents??  

Q: C. 2よx dり イル X-o,Y>め CSCE ウ-0)りこ6 V coso.vdvdo y26 CSCO リニズ dxdy vdvdo v°cose drdo 9PAP うえ tane= 2 C...

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Q: Find the arclength of y = 4x°/2 on 2 < x < 4 %3D

A: Given :  y=4x32     on  2≤x≤4   To Find : Arc length of y=4x32

Q: the curve C:r = 1+ sin e and above the line e: r= 3/4 c

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Q: y = cos(2x), y = sin x, 0<x< 2

A: Solution is given below:

Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v mak...

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Q: Sketch the region cnclosed by the given curves

A: y=x-2y=x-2

Q: 2. (a). Use linear approximation to estimate V143. (b). Compute the percent error in your approximat...

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Q: Given the equation y = cos(coshx)

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Q: 4. (2y cos x + sin 'X) ax 5. y' = 1+ 3ytanx

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Q: Find the displacement vector with initial point A(-3,4) and terminal point B(1,1) and determine the ...

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Q: Find the equation of the tangent line at the given point. 1. y²e* = 3y + x² at (3,0) 2. x*+ y? = 3 a...

A: 1)y2ex=3y+x2Differentiate w.r.t x2yy'ex+y2ex=3y'+2xSubstitute (x,y)=(3,0)2(0)y'e3+02e3=3y'+2(3)0=3y'...

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A:     L-15s-8s2+16=L-15ss2+16-8s2+16=5L-1ss2+16-8L-11s2+16=5cos4t-8·14sin4t=5cos4t-2sin4t

Q: Consider the function below. x2 f(x) : x2 - 25

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Q: 5. Find the area of the region contained inside the unit circle {x² +y? = 1} and outside the rose de...

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Q: f(a + h)-f(a) a. Use the definition man = lim to find the slope of the line tangent to the graph of ...

A: The given definition of the slope of the tangent line of a graph at the point P is: mtan=limh→0f(a+h...

Q: Tell whether the following functions Is continuous or discontinuous. If discontinuous, identify the ...

A: As per  the guidelines  we are supposed  to answer only one question at a time. If you want to get t...

Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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Q: Consider the function f(x) = 2x3 – 6æ² – 48x + 3 on the interval [-5, 8]. Find the average or mean s...

A: mean value theorem

Q: 9. 10 Find the rate at which average revenue is changing when An accessories company finds that the ...

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Q: Assume the derivatives of f and g exist. How do you find the derivative of the sum of two functions,...

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Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 4 seconds. F...

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Q: Given x+ y +z=2 and Po(1,0,1), find the following. (a) Find the equation for the tangent plane at th...

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Q: (a) What is an orthogonal matrix? Determine whether or not the following matrix is orthogonal. Justi...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We will find the unit vector which satisfied the given condition in the following step.

Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) < 0 and f"(x) <...

A: Given problem:- To select graph  with conditions  f'(x) &lt; 0 and F"(x) &lt; 0 for all x f''(x)&gt...

Q: An object is launched from ground level with an initial velocity of 50 m/s, at an angle of elevation...

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Q: A cylinder shaped can needs to be constructed to hold 250 cubic centimeters of soup. The material fo...

A: Find out the dimensions that will minimize the production cost.  

Q: 2. Tell one Solution to this graph..

A: Given query is to find the solution of the graph.

Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 8 6 6 y 4- y 4...

A: This is a problem of integration. Based on the x and y limit we will sketch the region. 

Q: y = ² + 3 in the Cartesian form y t Express the parametric f(x). curve x t+7

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