A farmer has 400 yards of fencing and wishes to fence three sides of a rectangular field (the fourth side is along an existing stone wall and needs no additional fencing). Find the dimensions of the rectangular field of largest area that can be fenced.

Q: What is the derivative of x² + y² = 9 using mplicit differentiation? dx = xy dy dx = -xy dy dx dy dx…

A: Given query is to find the derivative of the expression.

Q: Culator. A particle is moving with velocity v(t) = 1²- 9t+18 with distance, s measured in meters,…

A: The objective is to find total distance travelled.

Q: A rational inequality of the form R(z) <0 gives the number line below. What is the solution of the…

A:

Q: 4.2.3. Find the integrating factor by inspection then solve the following differential equation.…

A:

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: Here we have to find whether the given graph is continuous or not.

Q: Solve the following initial value problem using Laplace transform d'y dy dt -2y = 6e³t; dt² y (0) =…

A:

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

A: Let's solve laplace transform of function.

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check…

A:

Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

A:

Q: Given lim (x,y)→(1,2) of  (x + y − 3) / (x^2 − 1) Evaluate the limit along the paths y = 2 and y = x…

A:

Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

A:

Q: 10s²+17s+12₁ S³+27 L-¹1²

A:

Q: 1. Let A = 24 12 -40 20 and consider the linear system = AY. Let Y(t) be the solution 5 What is the…

A: answer is in next step.  i can answer only one  question as per guideline thank you.

Q: 9+5d = 35-6 int equation (11) from To - 113 = 9+126 = 77

A:

Q: Gym A Gym B Total Monthly Cost vs. Number of Visits C Number of Visits Total Monthly Cost 10 55 70-…

A: Linear cost

Q: f(x) = 2²3 on (0, ∞) x+3

A:

Q: 15. Yogurt containers can be shaped like frustums. Rotate the line y = x around the y- axis to find…

A: 15.   yougurt containers can be shaped like frustrums.Rotate the line y=1mx around the y-axis…

Q: 10 Let u= (1, 2, -1) and v= (3,-1,2) be two vectors in Rª. Which of the following is a normal vector…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: Give the general equation of the plane containing the point (3,-1,4) and 2-2 -3 4. | perpendicular…

A: given plane pass through the point(3,-1,4)

Q: 3) The line L: x = 3 + 2t, y = 2t, z = t intersects the plane x + 3y -z = -4 in a point P. Find the…

A: This question is based on 3-d geometry.

Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = y = - 2 X 2

A: 2x3 is an antiderivative of what function.

Q: Determine the area bounded by y = x³ and y = 4x using a vertical element

A:

Q: The graph of f is given below. -2.5 -2 -1,5 Why is f not differentiable at x = 1? Of is continuous…

A:

Q: Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1.

A: Given: f(x)=ln3-2x,a=1

Q: The graph above is a transformation of the function f(x) = Write an equation for the function…

A:

Q: Solve the following initial value problem using Laplace transforms. d² y dt² -9y=4e³¹; y (0) = 0,…

A: d2y/dt2 - 9y =4e3t; y(0)=0, y'(0)=-1.

Q: Whatis the derivative of y = sin (2x − 1)?

A:

Q: 2. 2y² SS dxdy 1 y

A: Disclaimer: Since you asked multiple question,we will solve the second question for you. if you want…

Q: 24 The following limit gives the derivative of a function f(x) at a point zo: lim h→0 √8+h 2 h Which…

A:

Q: Question 2: Let E be the solid inside the surface x² + y² + z² = 10% and above the plane z = 5. (a)…

A:

Q: 2² (9-82ja 9-1² 9. S dt

A:

Q: 3 3 x³ - y³ z = f(x, y) = x² + xy + y² 0 for for (x, y) = (0,0) (x, y) = (0,0)

A:

Q: The graph of f is given below. -2.5 -2 -1.5 Why is f not differentiable at = -1? Of has no tangent…

A:

Q: -2 2 о 0 Ау N Х

A:

Q: What is the derivative of y = (3x + 1)? 21 dx dy = 6 (3x + 1)²¹ dx 6 (3x + 1)² dy dx = 7 (3x + 1)6…

A: To find the derivative of the given function

Q: xy lim (x,y)->(0,0) x² + y²

A: We need to write down that the limit exist or not.

Q: 2. Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1. 2

A:

Q: Question 7a. Zombies have invaded campus! They recruit more of the undead at the rate: dz 10 f(x) =…

A: For Equilibrium value , derivative is zero .

Q: Use the chain rule to find the indicated partial derivatives. Əy ar Əy əs Əy at II Y = w tan-¹(uv),…

A:

Q: limit. Determine whether the sequence converges or diverges. If it converges, find the 3n + 5 an =…

A: Given.

Q: Find the volume of the solid generated by rotating the region enclosed by y = x + 3, y = 0, x = 1,…

A: Topic = Volume

Q: Given the graph below, what can you say about the function at x = 0? Continuous Not Continuous

A:

Q: 5|2 X 1 If f(x) = X A. f(x) is continuous at x = 2 B. f(x) is discontinuous at x = 2 C. lim f(x) = 1…

A:

Q: Match each equation to the right triangle that represents the same statement. (Choices can be used…

A: To find out the correct match for each of the statements.

Q: - S™ SX x² cos cyldy dzdx

A:

Q: Find dy dx 2 for x²exy = 5 WA/

A:

Q: 50° 60° 70° ?

A:

Q: Evaluate: limt o sin 3t t5 (t-1)² using L'Hôpital's

A: Since you have asked multiple questions in a single request we would be answering only the first…