| (3x+-x²) dx=Ax° + Bx² +C, for Suppose that %3D constants A, B, C. What is the value of C if the curve y=Ax+ Bx +C passes through the point (1, 1)? Write the answer in its exact form as an integer or a fraction in lowest terms. C=Blank 1

Q: An insect is in a toxic environment. The level of toxicity is given by T(x,y)= 2x* – 4y° If the…

A: Tx=0⇒x=0Ty=0⇒y=0Using D-TestD=TxxTyy-[Txy2]D=0 at (0,0)   T(x,y) is minimum

Q: d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

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Q: and the net is decribed by the equation y = V1 – x2 – z2, y 2 0,

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Q: Suppose f(x, y, z) = In(7x + 9y+7z). Find an equation for the level surface of f that passes through…

A: Given Data: The level of the curve for fx,y,z=In 7x2+9y+7z2 is of the form,…

Q: Solve for the General Solution of the given first-ordered Lineor DE : X lx² +1)y'+2y= (x?+1) %3D

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Q: Suppose a cheetah is dashing due north at a rate of 30 m/s toward a popular watering hole, and a…

A: We need to find x(t),y(t),r(t) in the above question.

Q: у-V25- х2 у%30, х%3D2, х%3D4: abour the х-аxis. *3у-у, х-0 : about the y-axis.

A: In this we use integration and simple mathematics . and , a graph which shows the above equation as…

Q: 5. Show that 1 T = VI? + y? satisfies the equation Tz + Tyy = T3

A: Given T(x,y)=1x2+y2

Q: Suppose that / (3x+-x²) dx=Ax³+ Bx³ +C, for constants A, B, C. What is the value of C if the curve…

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Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

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Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

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Q: Determine exact solutions for the equation 2sin2x-3sinx + 1 = 0 in the interval x e [T, 3n].

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Q: Find the exact length of the curve. y=3+8x3/2, 0 less than or equal to X less than or equal to 1.

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Q: A heat-seeking particle is located at the point P(6,4) on a metal plate with temperature at (x, y)…

A: Given, a heat seeking particle is located at the point P(6, 4). The temperature function is given…

Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: (a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate the following:…

A: (a) The solution curve with the direction field that satisfies the initial solution y0=0 is as…

Q: Find the exact length of the curve.   y2 = 4(x + 4)3 , 0 ≤ x≤ 2 , y> 0

A: Given: y2=4x+43,0≤x≤2,y>0 To Find: Find the Exact length of the curve. Concept: Length of the…

Q: Find the length of the curve y= 3/2x^2/3 from x = 1 to x = 8

A: Given,         The length of the curve y=32x23 from x=1 to x=8.We know that,         The length of…

Q: A Q2 Show that y=x+ is the solution of 3x – x = x+ y. dy dx

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Q: 1. What is point-slope form? А) Ах + Вy %3D С y2 - Yı В) т%3 X2 - X, С) у - У1 %3 т(х - х) D) у %3D…

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Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = […

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Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a have a…

A: Given: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a…

Q: Find the general solution of the lines Зу + 2 y - 2 )dx + ( 2x -+ 1 )dy = 0 4 2

A: Let us consider the given differential equation f(x,y)dx+g(x,y)dy=0 Using substitution,  x=X+hy=Y+k…

Q: H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2

A: Please find attachment for the details solution

Q: The fictional city of Torontino radially has a population density of 1000e-0.017² people per km²,…

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Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

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Q: Find the length of the curve. y= (16-x2/3)3/2 from x=1 to x=64

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Q: 2. Determine C when x-y%3D0 show the solutions. (xy + x)dx = (x²y2 + x² + y2 + 1)dy

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Q: Find the exact length of the curve. y = 2/3x3⁄2,    0 ≤ x ≤ 1

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Q: solve for y in terms of t or x, as appropriate.

A: given: lny=-t+5 we have to solve for y in terms of t or x, as appropriate

Q: Find the Maximum value of the function f(x, y) = x² – y² – 2y on the curve x? + y? = 25. %3D -

A: By langrange multiplier method n

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x+ 12. O (-2-6) O (2.6) O (2. -6) O…

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Q: Find a particular solution to æ' = -x – y + e', y' = 2x + y – ešt using undetermined coefficients.

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Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

A: Definition used-   To keep the temperature constant, the insect has to move in a direction that is…

Q: Find the length of the curve y = 4 1 between x 1 to x 2. %3D &x2

A: It is length of curve.

Q: find the points on the curve x^2+xy+y^2=16 which one nearest and farthest from the origin using…

A: Let us consider the given function f(x,y) Subjected to g(x,y)=C Solving using Lagrange's multipliers…

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A: We have to find the value of a and b according to the given information

Q: general

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Q: స్థాగ The length of the curve y = Ex3/2 between x = 0 and x = 1 is %3D 2/3

A: Length of the curve=∫ab1+f'(x)2dxy=f(x)=23x32f'(x)=23×32x12=xf'(x)=xLenth of the curve between x=0…

Q: Suppose that/ (3r-x²) dr=Ax'+Bx'+C, for constants A, B, C. What is the value of C if the curve =…

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

Q: Find the length of the curve of y=x³/2 from x=1 to x=4.

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Q: Q11 Write the general solution of the fourth-order DE y(4) – 2y" + y = 0 entirely in terms of…

A: Given y4-2y''+y=0 To do Write the general solution in terms of hyperbolic functions.

Q: Find the equation of a line parallel to x = -8+ 2y that passes through the point (8, –2). Oy = -x –…

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Q: An insect is in a toxic environment. The level of toxicity is given by I(x,y)= 2x* – 4y If the…

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Q: Sketch an approximate solution curve that passes through each of the indicated points

A: Here is the solution of the given problem.

Q: Find the length of the curve y = x^4 for 0<_x <_1

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Q: Use variation of parameters to obtain the general solution. y''+4y = 4 sec2x

A: The given differential equation is; y"+4y=4sec2x.

Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

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Q: A drone, flying at a constant altitude, is designed to monitor an industrial area for signs of…

A: (a) The given function has fine details which is complex to be traced manually. We are, therefore,…