Y = 1. Draw the given optimization problem and solve. Find the area of the largest rectangle (in units) that fits into the triangle with sides formed by the lines x = 0, y = 0 and 4 +

Q: 13. Solve: xCsc² ydy- Cotydx=0, x = T 6. a. xCoty = 7/3 C. Coty = Tx b. xCscy = T/2 d. x = ACscy

A: The given differential equation is xcsc2ydy-cotydx=0, xπ6=π.

Q: The graph of the equation 1x 122  1y  222  9 is a circlewith center ( , 2 and radius .

A: If we want to find y - intercept of the graph , then we plug x= 0  and solve the equation for y Here…

Q: ty (t+1)y + y = t²

A: Given That : ty"-(t+1)y'+y=t2 To find: solve the differential equation using determinant coefficient…

Q: Solve y′  of (t^5+t)(t^3−4t+1)

A: ddtt5+tt3-4t+1Apply the Product Rule:  f·g'=f '·g+f·g'f=t5+t,…

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: 6. y = x2 is a solution for which differentia

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Find the general solution of the following: y" +y - (G + 4) y = 0

A: Given that, y''+1xy'-9x2+4y=0

Q: Solve for x :C+Vz + m = A

A:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: The average cost can be calculate as Average cost (AC) =Total CostNumber of units=CxTotal cost =0.06…

Q: max    2x1 + 2x2 s.t.   3x1 + 2x2 ≤ 36        3x1 + 4x2 ≤ 48         x1, x2 ≥ 0 Solve the LP…

A: The given problem is  MAX    2x2 + 2x2subject to         3x1 + 2x2 ≤ 36         3x1 + 4x2 ≤ 48 and…

Q: It is easy to check that for any value of c, the function y = ce-2 + e¬ is a solution of the…

A: This question is based on substitution.

Q: Use Variation of Parameters to find the general solution for the following DE y" - 2y'-8y = 3e-2x…

A:

Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: Determine the r- and y-intercepts for h(x) = 6x – 42. Solve -7x – 8y = 1 for y.

A: Given: (a) h(x)=6x-42(b) -7x-8y=1

Q: (6x + 1)(,F – 2) Suppose that y'(x) = and that y(4) - 3. Solve for y(x).

A:

Q: Solve for x 16. 2x 5_ 5x - -= 17. z = x-u 3 6 19 & 20 Graph the Solutions 19. 2х — 1 <8-х 20. 4 – 2x…

A: 16. The given algebraic equation is, Now perform the following algebraic operations to solve for…

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 solution that satisfies Y(0) 1

A: We will find out the required solution.

Q: Use the explicit Euler method to plot the  estimate y(2) if y(t) is the solution to y' = t - y3 with…

A: Given IVP is y'=t-y3, y(0)=1 we have  f(t,y)=t-y3 Here using n=10 steps, Then step size h=upper…

Q: x? + x – 12 minimum point of y = x² – 4 | O -15.75, -1.03 O 15.75, 1.03 0.25, 2.96 -0.25. -2.96

A:

Q: 2senx y' - 2y =

A:

Q: 1. (a) Solve for the general solution y' + (cotx)y : = xCScx

A: Solution1;a Given the diffrential equation yι+cotxy=xCScxGiven the diffrential equation  is of the…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 − 2x

A: Given equation for revenue is, R = 24x23- x

Q: 4. Give the graphical significance of the constant k for the equations of the form y=(x-h)³ +k

A: Given curve is y=(x-h)3+k

Q: 2ty t²+1 – 2t – (2 – In(t² + 1))y'

A:

Q: (x+1)3 solve for y'. %3D x2

A:

Q: 2. Find all solutions to the following equation on the interval [0, 27|]. TCOS X п 11т a. X = 6' п…

A: Given:

Q: a) Use variation of parameters to solve: ex' = *+[')- 2. tX' 13 -2. 2t

A: Since you asked two separate questions as per our guideline we solve only ine fir you and please…

Q: Question 13 The cost, C. in dollars to hire pavers to pave the parking lot at a shopping mall can be…

A: Given Data: The cost to hire the pavers is: C=5x2-50x+1200 For the minimum cost, the derivative of…

Q: Solve * + 3x – 4x = 20t, given that at t = 0,x = 0 and %3D

A: Introduction: One independent variable and its derivatives are included in an ordinary differential…

Q: Q3- Solve only one of the following: A- Find the approximate solution for the function y' x + y…

A:

Q: j(x) = 2f(x + 1) + 4

A:

Q: A. Solve the following problems 1. Find the length of the curve 3y = x2 + 2 from x = 0 to x = 4 %3D

A: We have to solve

Q: A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15 mi from…

A: Given- A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15…

Q: x? maximum point of y = — х — 12 х+5 O -0.76, -2.51 О 9.24, 19.48 О-9.24, -19.48 О 0.76, -2.51

A: Given y=x2-x-12x+5 To do Find the Maximum point of y

Q: Reduction of Orders 7.y" – 4y' + 4y = 10xe2x %3D

A: Note:- As per our guidelines, we can answer the first problem of these problems. Please resubmit…

Q: A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 12 mi from…

A: Given a boat in the ocean is 5 mi from the nearest point on a straight shoreline that point is 12 mi…

Q: (a) To find where the graphs of the functions y = m¡x + b1 and y = m2x + b2 intersect, we solve for…

A: a) To find where the graphs of the functions intersect, we solve for x in the equation:…

Q: Find the general solution of y'= 2(y − 10). Then find the two solutions satisfying y(0) = 25 and…

A: We separate the variables then integrate both sides. C=integrating constant

Q: A colony of bees increases by 25% every 3 months. How many bees should steve start with if he wishes…

A:

Q: 1. Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. 2. Plot your graphs…

A:

Q: 1. Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. 2. Plot your graphs…

A:

Q: Find the general solution to x*/ = x*y – y°.

A:

Q: Solve the simultaneous equations y = 1 + 3x - x2 and y = 3 – x graphically. Plot your graphs for…

A:

Q: 1. Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. 2. Plot your graphs…

A:

Q: Find the solution such that y' = 2(2x – y) passes through the point (0, -1).

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…

Q: -1+ 2x 11 If PR = 3x + 3, solve for x. %3D Our answAwer R.

A: PR=3x+3   PQ=-1+2xQR=11

Q: An island is 3 mi from the nearest point on a straight shoreline; that point is 6 mi from a power…

A:

Q: Solve for the values of Ay and dy if y= f(x) =x² + 2x? – 3x + 5 and x changes from 2 to 2.10.

A: Given: y=fx=x3+2x2-3x+5 And x1=2 &amp;  x2=2.10  a). We know that; ∆y=yx2-yx1 So,…