Remaining Time: 4 hours, 44 minutes, 03 seconds. Qu Browse Local Files Status: QUESTION 13 A state lottery draws six numbers between 1 and 63. If you wanted to buy every combination possible, how many combinations are there? 5 points

Q: Maximize the function f(x, y) = 2x + 5y subject to the constraint y²/4 + x - 3y = 4 Find the…

A: To solve the problem we use the method of Lagrange multiplier.

Q: Two six-sided dice are rolled. If the sum of the dots showing is even, we get $12; otherwise, we…

A: We have to find expected value of given game.

Q: Find the matrix of the given linear transformation T with respect to the given basis. Determine…

A: Given T (f(t)) = f(3) from P₂ to P₂ a. To find the matrix A of T with respect to the basis B₁ = {1,…

Q: If the determinant of a 5x5 matrix A is 2, the determinant of its adjoint is Blank

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Q: 3. Consider the following optimization problem [201, 202] [1 x₁ + x₂ = 1 0 [2][2]+3,5 [2] minimize…

A: An optimization issue with a linear constraint and a quadratic objective function is presented to…

Q: The function f has continuous second derivatives, and a critical pa OA. is a saddle point B. is a…

A: Given that fxx-4,5=16 ,fxy-4,5=8,fyy-4,5=4  Then fxx-4,5fyy-4,5-fxy-4,52=16×4-82=64-64=0.

Q: why is the solid solid symmetric about the plane pi/4?

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Q: Give the best estimate of the output value at the critical point identified above.

A: As per the question, we are given the contour plot of a bivariate function g(x,y) that has a…

Q: Solve the given initial-value problem. 3 11 16 × -(: * *:)* X' = 1 1 3 X(t) = 3 4 -t 1 0 4 0 X, X(0)…

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Q: Prove by induction that Σ₁(4i³ − 3i² + 6i − 8) = 1/(2n³ + 2n² + 5n − 11). -

A: We have to prove the given statement by induction.

Q: Define the linear transformation T by T(x) = Ax. 1 2 -1 -3 -1 -3 4 1 2 -1 -1 -2 1 1 (a) Find the…

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Q: A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is…

A: Solution:- Let T(t) = temperature after t minutes   By Newton's Law of Cooling, T(t) = 75 +…

Q: Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 3x + 4y = 8x + 7y

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Q: A B Ⓒ D The augmented matrix 0 0 ear equations which has 15 2 represents a system of lin- 00 0 no…

A: The augmented matrix is: 1-21-301520000. We have to check whether the solution exists or not.

Q: ass, the moments, and the center of mass of the solid E with the given density function p. E is…

A: We have to find the mass ,moments ,center of mass of the solid E .

Q: a) How many different ways can you arrange 11 dogs and 4 cats in a circle? (b) How many different…

A: Given that Number of dogs equal to 11 and number of cats equal to 4. Total=11+4=15

Q: Determine whether each of the following is a closed set. (a) A = [2,3] U [4,7] (b) B = (-∞, 2] U…

A: According to our guideline, We can solve first there subpart of a multipart question. So, here we…

Q: d²y dt² 1 dy 2 dt 5. y"+y' + 3y = 0 4. =

A: Without loss of generality, we take y(0)=a, and y'(0)=b , where a, b are real constants . Now we…

Q: An individuals utility function is given by U = 900x₁ + 500x₂ + 6x₁x2 − x² − x²/2, when the weekly…

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Q: For the given data, the displacement, d, in mm at the mid-point of a rectangular beam was measured…

A: Load (F), KN Displacement (d), mm 10 0.12 20 1.1 30 3.2 40 5.9 50 8.5 60 16.5 70 21.2…

Q: In June 2008, the U.S. city average price of bananas was at a [Select] In October 2009, the U.S.…

A: As per the question, we were given a table of the average price of bananas in U.S. cities for…

Q: Q-1 Solve the pair of equations using the placement method. x 5.y=-4 6 x 5.y=1 - - Example of…

A: Q-1. The given system of equations is              x – 5.y = -4  . . . . . . . . . . . (1)…

Q: 1. Express the following function in terms of unit step functions: f(t)= t, 7-t, 0, 0 ≤ t 7

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Q: The series | 8 - 8n| ≤ f(x) dx = 8 22 n=2 is convergent. (A). According to the Remainder Estimate…

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Q: R is the region bounded by the given curves. R: y = x², x = 0, x = 1, x-axis Find I R IR (Assume a…

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Q: 11. Graph the curve with the parametric equations x=5 cost, y=3 sin t, z = sin(3t) on the interval…

A: Given Parametric Equation: x=5 cost, y=3sint and z=sin3t Defined on the Interval t∈0,6π. Objective:…

Q: By visual inspection, locate all points on the graph at which the slope of the tangent line equals…

A: Graph of the function is given. We have to locate all points on the graph at which the slope of the…

Q: (b) I had a go, and could see the following partial representation (b, A₁), (c, A2) and (d, A3).…

A: As per the question, we are given a partial representation consisting of three pairs, (b, A1), (c,…

Q: Prove by induction that for positive integers n, 4|(5¹ +34n+3).

A: We have to prove by induction that for positive integers n, 4|5n+34n+3.

Q: дz əs z e cos(8), r = st, 8 = Use the chain rule to find and дz at 56 + to

A: It is given that, z=ercosθ ⇒∂z∂r=ercosθ ......................................as derivative of eax…

Q: Find a parametric representation for the surface S, where S is the part of the cylinder x2+y2 = 4…

A: A surface S where S is the part of cylinder x2+y2=4 which lies between z=-2 and y+z=2. To Find:…

Q: L { cosh It

A: A Hyperbolic function is given.

Q: f(x) = x² − 3 is the minimal polynomial of √3 over Q,

A: We have that              f(x) = x2-3  be a polynomial of two degree.

Q: Solve ordinary differential equation (ODE) by following method. y΄΄ - 6y΄+ 9y = 6x2 + 2 -12e3x a)…

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Q: S 22² +2+1 dz, where с Z² +4 b) Compute i) ( = {Z : 121=1} ii) C = {z: 17-i |=2} 17 (iii) C = {z :…

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Q: Question Now we are going to find the approximation of √4.08 without using a calculator. We will Use…

A: (a) We have plotted the graph of f(a) and that of its tangent line at x=4.

Q: 1 dx to 7. Find the step size h and the number of subintervals n required to approximate 4 within…

A: Given that ∫021x+4dx Comparing with the standard form ∫abf(x) dx we have that f(x)=1x+4 , a=0 and…

Q: 1 = f (e-2¹/³ − yz) dx + (e−1²/³ + x2 + 2x) dy + (e−5²/³ + 5) dz, - 7

A: The line integral over the curve C : r(t)=(x,y,z) is defined as ∫C F•dr = ∫C f1dx+f2dy+f3dz  . Where…

Q: A town's population starts at 984 people and increases by 3% each year. Write a formula, f(t), for…

A: The initial population is 984 people. The rate of increase is 3%. We have to write a formula ft, for…

Q: Calculate see integral image where see second image is the part of the plane x + y + z = 1 in the…

A: The given problem is to evaluate the surface integral of the vector field over the given surface S…

Q: Online Shoppers The number of consumers researching products or shopping online is growing steadily.…

A: The number of consumers researching products or shopping online is growing steadily. According to a…

Q: 2. Cylindrical Projection To map the entire world using the cylindrical projection, the cylinder…

A: A cylindrical projection is a type of map projection that represents the earth’s surface as if it…

Q: 7 Find the maximum value of the function f(x,y)=x+2y subject to the constraint x² + y² =3 using…

A: To solve the problem we use the method of Lagrange multiplier.

Q: 2xy + 15. h(x, y) = lný x2 + y2, (3, 4, In 5) Ιπ π 3) ππ

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Q: 5. Let (G,) be a connected simple plane graph. Let F denote the set of faces in (G, o) and for f €…

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Q: Sketch the region of integration and change the order of integration. 5 √25 - y² L'₁ PX, 1 -5 f(x,…

A: We have to sketch the region of integration and change the order of integration.

Q: why wouldnt both be independent of the geometry S, as for the elliptic you can create a three point…

A: It is untrue that whether the geometry is independent of the space depends on the number of points…

Q: you represent this relationship mathematically? gent vector v at (xo Yos Zo)? How 2. Consider a…

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Q: J, F. dr (1) F(x, y, z)=(-2y+esenz)i + (-2+y)+ (x³ +es) (a)

A: We need to calculate the line integral ∫γF→·dr→, where F→(x,y,z)=(-2y+esenx)F→+(-z+y)j→+(x3+esenz)k→…

Q: A True -1 0 The matrices [21 and [31] LO B) False are row equivalent. ...

A: Given that the matrices 1-10211 and  301031