Consider a closed rectangular box with a square base with side x and height y. a. Find an equation for the surface area of the rectangular box. S(r, y) dy when x = 5 feet and y = 2 feet. dx b. If the surface area of the rectangular box is 90 square feet, find 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: A. y II

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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

A:

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

A:

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

A:

Q: Obtain the general solution of the equation d'y +6 dx dy ? + 10y = 50x dx %3D

A: Given : d2ydx2  + 6dydx+10y = 50 x

Q: The value of yx +y dx dy

A:

Q: Given ey = x + y. Show that x +y (x + y – 1)3 d?y dx?

A:

Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

A:

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

A:

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…

A:

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

A: Given, y=x13-x3

Q: dy dx? Find in terms of x and y. x°-y° = -3

A:

Q: x? 3xy +y?=19 what s the dy at point

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Use the information to find and compare Δy and dy.

A: Given that, y=x2-5x=f(x) x=-3 ∆x=dx=0.01   As we know, ∆y=f(x+∆x)-f(x) dydx=f'(x)⇒dy=f'(x)dx

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

A: I have used chain rule

Q: NOTE: Enter the exact answer. r3-y 5y dx dy

A:

Q: Given a: 5 In(t) and y = 25 t2 then find %3D dy (Write the simplified answer) dx d?y |3D dx?

A:

Q: Given y − x cos y = 7, find dy dx

A:

Q: 17. y dx — (х + бу?) dy %3D 0

A: Given ydx-x+6y2dy=0          (i) To determine the solution of the given differential equation.

Q: Find dy/dx fc (1) y = x³ Inx ,,2

A:

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

A:

Q: Question 10(both parts)

A:

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

A:

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

A:

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

A: The solution of the problem is given in the next steps.

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: For the equation, y(x+y+1)dx + x(x+3y+2)dy = 0, what is dM/dy - dN/dx?

A:

Q: /solve; B: dx + xy dy = y?dx + y dy

A:

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

A:

Q: The value of [ yx? +y? dx dy %3D

A:

Q: Find dy/dx and d'y/dx². x = e', y = te-t %3D dx %3D dx2

A:

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

A:

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

A:

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

A:

Q: } Identify (write down) the type of DE, and find the general solution. (у - 3x)dy %3D (x + Зy)dx

A: Type of DE is, homogeneous & linear and order is 1.   The solution is provided below :

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

A: Given that x=15lnty=225t2

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: Given a = 12 ln(t) and y = 144 t2 then find %3D dy dz &y dz2

A: x=12ln(t)y=144t2

Q: Find for the indicated function y. dx y=15* + e7 (Type an exact answer.) dy dx

A: y=15x+e7Differentiate w.r.t x

Q: Consider a closed rectangular box with à quare height y. a. Find an equation for the surface area of…

A:

Q: dy - y = e*y? dx

A: Let us consider the given differential equation dydx+P(x)y=Q(x) To solve the differential equation…

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

A:

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

A:

Q: d’Y 2) Find dx? X = et et Y = et + t?

A: we have to find the second order derivative

Q: = y° dy dx

A: