Sarah has the following utility function: u(x, y) = 10x + 12y. (a) Find Sarah's Marshallian demands. (b) Find Sarah's Hicksian demands. Consider that income is I = 20, and prices are given as pz = 5, Py = 4. (c) Does Sarah have enough money to attain a utility level of 70? Justify your answer.

Q: (NEED TO DERIVE EQUATION NOT JUST WORDS) In cartesian tangent plane coordinates, derive the…

A:

Q: 26. T: R² R³ defined by -(:))-[**** T

A:

Q: Consider the solid E in R^3 bounded by the paraboloid z=x^2+y^2 and the plane z=4. Calculate the…

A: The given problem is to find the volume of solid E using the triple integral,Given solid E in R3…

Q: 1.1! +2.2!+3·3! ++n・n! = (n + 1)! −1 for all n ≥ 1.

A: We will prove the following result by principle of mathematical induction.

Q: Card 12 Jose is saving to buy a new video game for $40. Jose saves $8 a week. 2) 1) Write an…

A:

Q: 9. Identify shapes and determine the area of the composite figure. 4.0 cm 7.0 cm

A: We can divide the given figure in the following way

Q: A cup of coffee at 160 degrees is placed in a room where the temperature of 70 degrees. After 5…

A:

Q: In part 2) why is it K+1and K + 2 and so on(addition) instead of K1,K2,K3... (multiplication).

A: As you asked that why we use  instead of

Q: Consider the following integral. Sketch its region of integration in the xy-plane. (²) (a) Which…

A:

Q: Problem Use the series solution method to find even and odd solutions to the diff ential equa tion,…

A:

Q: 12. Show that the arc length L of a curve whose spherical coordinates are p = p(t), 0 = 0(t) and =…

A: To show the arc length of a curve whose spherical coordinates are  for  in an interval  is .The arc…

Q: 0 -6 6 -2 0 0 -4 2 has two distinct real eigenvalues ₁ < ₂. Find the eigenvalues and a basis for…

A:

Q: 段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DONT USE CHATGPT…

A:

Q: use a tree diagram that shows how many ways a nickel a dime and a quarter can be flipped, determine…

A: The objective of this question is to determine the number of ways to get exactly one tail when…

Q: Exercise 6.4.2: Solve (find the impulse response) x" + 2x' + x = (t), x(0) = 0, x'(0) = 0. المملمسمس…

A:

Q: Double your money? Which two will take exactly the same time to double the investment? (Select all…

A: Formula for the accumulated amount A for the investment P after period n with interest rate i is

Q: For a system of two linear differential equations, the only equilibrium point is (0,0). This is…

A:

Q: Which of the following are true statements? Select all that apply. □ Uniform Convergence of {f} to f…

A: The objective of the question is to identify the true statements among the given options related to…

Q: A company manufactures Products A, B, and C. Each product is processed in three departments: I, II,…

A: According to the given information,Let x be the number of units produced of product ALet Y be the…

Q: The curves f(x) = 3-x^2 and g(x) = e^2x-1 are shown in the figure. Let R be the shaded region…

A: The given curves are  and .Let  be the shaded region bounded by the graph  and the axis as shown…

Q: 1 29. y = = x 00 3 and y = 4 - x² 2

A:

Q: y₁' = (sin 2t)y₁ + t t² − 2t − 8Y²+4_y₁(1) = 2 - y₂' = (In t + 1)y₁ + e-2¹ y₂ + sect y₂(1) = 0

A:

Q: A veterinarian has been asked to prepare a diet for a group of dogs to be used in a nutrition study…

A: Assume X1 represents brand A nutrients, and X2 represents brand B nutrients.Brand Types/nutrient…

Q: 7. Let be the operator on P[r]3 defined by L(p(x)) = xp'(x) +p"(x) (1) Find the matrix A…

A: Since you have posted a multi subparts question according to guidelines I will solve first(1,2,3)…

Q: 1. For the function g(x) = 2log3 ((x + 2)) + 1 a) State the transformations on log3 x that produced…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: Use the method of this section to solve the linear programming problem. Maximize P = x - 2y + z…

A:

Q: Consider a solid that is bounded by the cylinder r=2, the planes z=0 and z=\sqrt{4−r^2}​, and is…

A: In calculus, a triple integral extends the concept of an integral to functions of three variables,…

Q: 9. Find an orthonormal basis for P[r]3 with a basis 1, 2, 2² if the inner product on P[r]3 is…

A: We have to find the orthonormal basis for  with a basis The inner product is defined by

Q: The equation that describes the accumulation of charge, denoted as q(t), on the capacitor within an…

A:

Q: Consider the following IP problem: Minimize Z = 3x₁ - 2x₂ subject to 5x₁7x₂ ≥ 3 x₁ ≤ 3 x₂ ≤3 and x₁…

A: Given Information:Objective function of IP is .Subject to the constraints that,To solve:The IP model…

Q: 2 Evaluate the following contour integral ez $21-3 |2|=3 2(2-2) 3dz,

A:

Q: Theorem: The number of diagonals of a regular n- Define P (n) = n(n-3) 2 gon is 2 for n ≥ 3 Use the…

A: We shall prove this using mathematical induction

Q: Consider the following. e−6x = 2 (a) Find the exact solution of the exponential equation in terms…

A:

Q: Our aim in this problem is to find a particular solution Ур for L₁[y] = e, where is a polynomial…

A: Let f(x)=exThen differentiation of f,Df=exDf=f(D−1)f(x)=0Hence apply D−1 on ex to get 0.

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log9(3 − x) =…

A:

Q: 1. Prove the following identity: cos³x-sin³x = 1+ sinx cosSX cosx-sinx

A:

Q: Let f(x) be a function that is degined and has a continuous derivative on the interval (3,infinity)…

A: We have given that,f(x) be a function that is defined and has a continuous derivative on the…

Q: #1 FIND THE PERIMETER 4x + 7 2x - 9

A:

Q: Problem #10: Let W be the plane with the equation 7x-y + 5z = 0. Find the standard matrix P for the…

A:

Q: Problem 3 Consider the linear second-order differential equation y" + p(x)y' + q(x) y = f(x), where…

A: (.) Given,          where  is continuous function. are two linearly independent solution of…

Q: Show that lim [((-1)^n ∙ n)/(n^2 + 1)] = 0

A:

Q: 15. Find the image of the half-plane 1 mapping W= A={z: Re (2) ≥ =-=-1} under the

A: Given: We have to find the image of the given half-plane under the mapping .

Q: It is observed that a certain bacteria culture has a relative growth rate of 11% per hour, but in…

A: To approach this problem, we will use the continuous exponential growth formula, which is given…

Q: Find foco C 2 (9-2²)(2+i) -dz,

A:

Q: laplace transporm to de y" ~ y' - 24 yo = 1 "D sin (3+) y' (o) = -1

A:

Q: 1. Matrix A has dimension m x n and Matrix B has dimension s xt. Design conditions for m, n, s and t…

A:

Q: Your task is to determine if each given set of vectors is LI or LD. Select True if the set is…

A:

Q: A company produces two types of drills, a cordless model and a corded model. The cordless model…

A: Let x be the number of cordless drills produced per day, andy be the number of corded drills…

Q: Q4 A homogeneous material surface of mass density I has the shape and position of the spherical…

A: Given Spherical Shellwhere   is redius Using Spherical coordinates Limit of integral

Q: Solve the following boundary value and initial value problem for the wave equation: For x = [0, 1]…

A: