The figure below shows contours of f(x, y) and the constraint g(x, y) = c. Approximately what values of x and y maximize f(x, y) subject to the constraint? What is the approximate value off at this maximum? Y g(x,y) = c f=100 i 16 14 12 10 8 6 4 2 2 4 6 8 10 12 14 16 The maximum value of f(x, y) subject to the constraint occurs at x = i and is i X f=700 f = 600 f =500 Enter your answers for x and y to the nearest integer. Enter your answer for the maximum value to the nearest hundred. f = 400 f=300 f=200 and y =

Q: Define the force field F(x, y, z) = . a. Find the divergence and curl of F. b. Let C be the directed…

A:

Q: 21. 22. 8) For problems 21 and 22, consider the graph of the function below. Determine the intervals…

A:

Q: inside lemniscate- r² = 6 cas20 outside circle- r= √3 find area

A: Please see the below picture for detailed solution.

Q: -10 70 60 50 40- 30- 20 10 10 10 20 30 Dmitry is a lifeguard and spots a drowning child 30 meters…

A:

Q: Evaluate the following integral. Can partial fraction decomposition be used to evaluate the given…

A: We have to find the integral.

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A:

Q: Question 16 Determine which of the following power series is equal to the function f(x) = M8 M8 M8…

A:

Q: Find and sketch the domain of f(x,y)=√1-(x + 1)² - y² + 2ln(x -y + 1)

A: Let's find domain of given function.

Q: -5 2 y=f" (x) A description of the graph of f(x) would be: a 4th degree polynomial a downward…

A: There is a given linear graph representation of second derivative f''(x) of a function as f(x). We…

Q: Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and (-2,…

A: Topic:- function

Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 - 6t, where 0 < t < 1.5…

A:

Q: Approximate the area under the curve y = x³ from x=2 to x = 5 using a Right Endpoint approximation…

A: Right Riemann sum (Right Endpoint approximation): ∫abfxdx=∆xfx1+fx2+fx3+....+fxn-1+fxn Where,…

Q: 1. Consider the region R bounded by the functions f(x)=3x and g(x)=x²+2. The centroid of R is: a.…

A:

Q: Below is the graph of y = x² +5. 401 D 30- 20 10- -3 -2 -1 0 1 2 3 4 5 6 The area bounded by y = x²…

A: the area bounded by the curve y=x^2 +5 and the x axis from x=2 to x=5

Q: Evaluate sin³ x cos²x dx.

A:

Q: Find equivalent polar coordinates (r', 0') satisfying r' ≥ 0,0 ≤ 0¹ < 2π for the · (-1, (c) point…

A: Solution is given below:

Q: Question 19 Consider 7(a), the 3rd degree Taylor polynomial of f(a)= cos(z) centered at a IT Use the…

A:

Q: Consider F(x,y,z)=(e³+e²²)₁²+(e¹+z)j + (2xze²²+y)k. Please answer the items below including all…

A:

Q: True/False: Answer a) for True, b) for false and mark on the scantron. 24. The following is a…

A:

Q: 5., You are building TWO identical pens adjacent to each other with a total area of 100 m², as shown…

A: Let's solve 5th question, dimensions for minimize the amount of fencing.

Q: Consider the function f(x) = (4-5x)7. Find the second derivative f" (1). O7(4 – 5z)® O-35 (4-5x)6…

A:

Q: S= dx 3+ sinx+cos X

A:

Q: D) { (-)"} [Select] [Select] converges to 2.

A: Please see the below picture for detailed solution.

Q: 5. S (2x²+1) x3-3x+2 dx

A: Here we have to find the integral.

Q: 5. S (2x²-3x+10)dx (x²+4)²

A: I have stated the used formulas in the solution

Q: 2 Given an = n² sin for all positive n converges Determine whether the sequence {an} Determine…

A:

Q: f(x, y) = x4 + 13x³y³ - 5xy4 + 14

A: Given: fx, y=x4+13x3y3-5xy4+14To Find: To determine ∂f∂x and ∂f∂y.

Q: w Let f(x, y) = x³ + y³ + 18x² - 18y² – 1. List the saddle points A local minimum occurs at The…

A:

Q: π Find the area of the region enclosed by y = sin¯¹(x), y = and the y-axis without using integration…

A:

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs x = 2 - y and x =…

A: The given curves are; x=2-y and x=4-y2 Now find the point of intersection between the given curves.…

Q: Set up an iterated triple integral equal to 3 3-x² x²+y² 3 2-√4-x²-y² using: Spherical coordinates…

A:

Q: Which of the following equations represent(s) a line that goes through the points (2,3) and (1,1)?…

A:

Q: Praw the curve r= 4 + 8 case and find the area outside the inner loop of the curve

A: Given: r=4+8cosθ

Q: When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the…

A: Let  B be the number of burritos, T be the number of tacos

Q: S= [²3/1/20 The value of dr is

A:

Q: Two cars are moving towards an intersection. One car is 150 meters north of the intersection and…

A:

Q: find are length x=2t² y = 3t²,0 ²t ²√58 [0,√8]

A:

Q: Consider the function f(t) = 6 sec²(t) - 6t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: The given function is: ft=6sec2t-6t3   As we know that; The expression for the antiderivative:…

Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

A: Given,            fx=-x2+4x+2            gx=x+2To find : Calculate the area between the given…

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cos

A: Topic = Derivative

Q: [2 2x log 2x dx

A:

Q: Solve the following differential equations y" - y'= 4cos²x

A: We have to solve the differential equation y''-y' = 4 cos2x

Q: PART D: Solving problems involving rational function, equations and inequalities. 1. Suppose you…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Find the volume of the solid generated by revolving about the y axis the region under the curve…

A:

Q: The value of 1 Submit Question da is

A:

Q: Which of the following is an example of an inequality? 60 + |-3| = 63 60 + 2x < 120 60 - 2(15) =…

A:

Q: Evaluate the definite integral: 0.8 4ze-2%dz = -0.2

A:

Q: What makes solving inequalities different from solving an equation with an equal sign? For an…

A:

Q: Find the antiderivative F(x) that satisfies the given condition: f(x) = 4x² +5e"; F(0) = -2. Show…

A: