Consider a closed rectangular box with à quare height y. a. Find an equation for the surface area of the rectangular box. S(r, y) dy b. If the surface area of the rectangular box is 96 square feet, find da when x 4 feet and y 4 feet. dy dx ||

Q: . Find an equation for the surface area of the rectangular box. =(x, y) dy = . If the surface area…

A: We will solve the surface area problem.

Q: 2. Assuming that y is defined implicitly by the equation: x?exy +y/x + y = 5 dy Determine dx

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Q: b) Given y= ae¯* sin(x+b) where a and b are constants. Show that d²y -2x dx +5y=0 dx

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Q: d?y Find and dx dx2 x = t2 + 9, y = t² + 5t dy dx dy dx2 For which values of t is the curve concave…

A: Here we have, x=t2+9, y=t2+5t we have to find,  dydx=?d2ydx2=? and the values of t for which curve…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Given the equation x +2xy + y° = 8, evaluate dy Assume that the equation implicitly defines y as %D…

A: The objective is to find the derivative.

Q: Given a = 2 cost + 17 and y = 3 sin? t dx dt dy dt dy dx

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Q: The value of yx +y dx dy

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Q: Separate the variables and evaluate the DE: cosx/dx + 1/ydy = 0

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Q: dy = y? – 4 dx

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Q: If xy – x³ y = 2, find at the point (1,1 dx

A: We have to find

Q: For the equation, find dy/dx evaluated at the given values. x2y + y2x = 0 at x = -1, y = 1

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Q: dy If y = sin-(e*), then dxlx=ln( (a)v8 (b) cos™*() (c)- T3 (d) ;

A: Given that: y=sin-1(ex)

Q: Given x 13t - 12 and y = 169 sin t %3D %3D dy %3D dx dy dæ?

A: Given that       x = 13t - 12   and   y = 169 sin t Here we have to calculate     dy/dx         and…

Q: NOTE: Enter the exact answer. yz dx dz dy -180 J–120

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Obtain the solution of the following equations. x?dx + y(x – 1)dy = 0

A: It's a variable separable equation which can be solved as shown below...

Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Find dy for the following equation. =x/ .3 y =xV 13-x dy =dx %3D

A: Given, y=x13-x3

Q: Given z = 15 In(t) and y = 225 t then find %3D dy dx d'y dr2

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Q: (a) Approximate the value of dx, using two and three points Gauss Quadrature Vx+A A: O

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Q: 1. Given that Y = e + Cosx, find: dy a. dr b. d'y/dx?

A: Hello , thanks for your question but according to our policy I am answering the very first question…

Q: Find dy d?y dx dx2 ノ X = t + sin t リ=t- COSt

A: I have used chain rule

Q: Find dy/dx at the given point for the equation. x = 8 In(y? – 35), (0,6) dy/dx = %3D

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Q: NOTE: Enter the exact answer. xe*y dy dx

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Q: Given y − x cos y = 7, find dy dx

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Question 10(both parts)

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Q: culate dy/dx.

A: Given that : The equation is x = e 2t + t3 , y = t2 e- t .

Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: (бх + у?)dx + (2ху — Зу?)dy %3D 0 уз 3.

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

A: Since base is the square : So   Length(l) = x  width(w) = x Height(h) = y

Q: Given z = 1le lle*y® , find 10 dz dz dy

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Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: For the equation, find  dy/dx  evaluated at the given values. x2y + y2x = 0  at  x = −2, y = 2

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: given y = ƒ(u) and u = g(x), find dy/dx =dy/dx = ƒ'(g(x))g'(x). y = 6u - 9, u = (1/2)x4

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Q: Given r = 15 In(t) and y= 225 t then find dy dx d'y da?

A: Given that x=15lnty=225t2

Q: Find d'y/dx? given x= t² – 3, y = 2t – 1

A: First I have find the derivative of x and y with respect to t and then calculate the required…

Q: Given y=ae" +Be where a and B are constants. Show that d'y Ay. dx

A: Given that: y=αe2x+βe-2x…

Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Find the value of d-y/dx at the point defined by the given value of t. x- 6t 2 -3, y= t 5, t=1 3D1…

A: Take the derivative than eliminate the extra terms as required.

Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Given I = 4 In(t) and y= 16 t then find dy dx dy da?

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Q: Given z = (x + y) 5, y = sin 10x, find dz/dx.

A: z=(x+y)5, y=sin 10xTo find  :dzdx