Let A, B be two sets. Show that ABC AUB. A direct proof is needed. You may illustrate it with a Venn diagram.

Q: given the function h(x) =(3x - 6)/(2x – 4), find h-1(x) Find the equation of the line joining the…

A: a) Function, hx=3x-62x-4b) Points 3, -6 and -5, 6c) Line 4y=9-3x and point -7, 3

Q: Question Bogdan needs to drop something off at work, pick up groceries, and fill up on gas. If he…

A: According to the given data, find the fastest route:

Q: Use Laplace transform to compute and plot the solution of the following differential equations. a.…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Assume that two fair dice are rolled. First compute P(F) and then P(FIE). Explain why one would…

A: Two fair dice is rolled E: One shows on at least one of the dice. F: The total is less than seven

Q: Using Table 11-1, calculate the compound amount and compound interest (in $) for the investment.…

A: The formula to calculate the compound amount for the investment is given by,…

Q: (b) sn = (n² (n² +5n)e-3n

A:

Q: A group of twenty-four people are discussing what month they were born in Which of the following is…

A: A group of twenty-four people are discussing what month they are born in . (Select all the statement…

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

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Q: A sporting goods store sells 120 pool tables per year. It costs $10 to store one pool table for a…

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Q: 3 Inverse Laplace transform Y(s) = = e -3s s+2 + e-78 (s-4)³ 1 Y(s) = (s² - 2s+5) (s-1) (5+2) +1…

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Q: Suppose a Cobb-Douglas Production function is given by the function: P(L, K) = 16L07K0.3…

A: Given that Cobb-Douglas production function  P(L,K)=16L0.7K0.3 and Cost function: C(L,K)=200L+500K.…

Q: For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is…

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Q: = 3. Suppose that f is a function from the domain D: {0, 1, 2, 3} to itself with f(0) d, f(1) = = a,…

A: I have explained everything with in the solution. Please go through that.

Q: Consider a real inner-product space, where ||* ||² = (**). Let's prove that if ||x|| = ||y||, then…

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Q: Suppose X and Y are events in a sample space such that P(X|Y) = 1 3 and P(Y) = What is P(XY)?

A: X and Y are the events in a sample space such that, P(X|Y)=1/3 P(Y)=1/5 To find: P(X and Y)

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 -x + y ≤ 6 x+y≤6 x = 0, y = 0. P = (x, y) =

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Q: Determine whether each argument is valid or invalid. If it is valid, give a proof. If it is invalid,…

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Q: Exercise 8.1.3 Let x = (1, -2, 1, 6) in R4, and let U = span {(2, 1, 3, -4), (1, 2, 0, 1)}. a.…

A: Given , x = (1,-2,1,6 )  in  ℝ4 and  U = span { (2,1,3,-4) , (1,2,0,1) } . (.)  Orthogonal…

Q: Suppose f: IR→IR and g: functions. True or false: If the composite function f o g is monotonic, then…

A: Given: f:R→R and g:R→R are the continuous function. To Find: To determine whether the following…

Q: Your farm encompasses 600 acres, and you are planning to grow soybeans, corn, and wheat in the…

A: Given that: Total acres of farm = 600 acres Cost of fertilizer for soybeans per acre = $5 Cost of…

Q: Find f f(x,y) dA, where f(x, y) = x and R = [5, 10] × [-5, –4]. SSR f(x, y) dA=

A: The given function is f(x,y)=x, and the domain is x,y∈5,10×-5,-4. To Evaluate: ∬Rf(x,y)dA.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = − 7x² - 4xy –…

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Q: PLEASE FOLLOW INSTRUCTIONS I SENT AS A FOLLOW UP AND SOLVE ON PAPER

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Q: (2) Same problem with A 1 0 0 1 0 0 0 0 -2 0 1 -2 0 −1 -2 -2 - -

A: As per the instruction we will only solve the part (2) of the question.   As per the question we are…

Q: Let A be a 2-by-2 "symmetric" matrix satisfying the 3 conditions below (where I and 0 indicate the…

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Q: In Exercises 9-16, find a basis for the eigenspace corresponding to each listed eigenvalue. 9. 50 -…

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Q: (d). Repeat (b) using the spherical coordinates. ( (e). Evaluate ONE of the set ups in (b), (c), and…

A: Using the graph as provided before.

Q: solve using method of undetermined constants: y'' + y' - 2y = -18e^(-2t),     y(0)=0, y'(0)=0

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Q: 6 cm Volume: 120 cm³ 4 cm 3 cm

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Q: √3. (x² + y2) and above by the sphere 2²= 10²-x² - y². Find the volume of E. Provide an answer…

A: Given, Let E be the region bounded below by the cone z =-[3 (x² + y²)]1/2 and above by the sphere…

Q: P' 60 40 20 0 -20 -40 -60 20 40 60 time (years) 80 100

A:

Q: Math 216 Homework webHW9, Problem 7 Use Laplace transforms to solve the initial value problem where…

A: We are given the system of differential equations        x'' + y' - 2y = 0   . . . . . . . . . . .…

Q: 1. Given the function h(x) = (3x-6)/(2x -4) find h^-1(x)

A: Since you have posted a multiple question according to guildlines I will solve first(1)question for…

Q: The row of Pascal's triangle that corresponds to n = 10 is as follows. 1 10 45 120 210 252 210 120…

A: Pascal's triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in…

Q: For each of the following transformations, determine T(2) geometrically (meaning using the…

A: Given: The transformations, T1=reflection across the x-axis T2=vertical stretch by 2 T3=rotation by…

Q: Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A: Given: The given matrix is A=-1671-831-251-4-3. To find: We have to find an orthogonal basis for the…

Q: (a). Sketch the solid region E. (b). Set up iterated integral(s) (DO NOT evaluate) for the mass of E…

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

Q: Determine when the following steady states are stable: (a) Xn+1 = rx(1 - xn), x=0 (b) Xn+1 = x²(1 -…

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Q: Solve the following exponential equation for x. Write the answer as both an exact expression and as…

A: The given equation 4-x+10=676. We have to find a value of x.

Q: Solve by using formulas. (Round your answer to the nearest cent.) Present value (in $) of an annuity…

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Q: 7º9 x² + 4x + 5x x'(o)= -5, x(0) = 5

A:

Q: Consider the boundary value problem Utt(t, x) = Uxx (t, x), 0 0, uz (t,0)=0, uz (t, 1) = 0, t> 0.…

A: The given equation is, uttt,x=uxxt,x. Condition is uxt,0=0,uxt,1=0. Definition- The method of…

Q: 8. Find the circulation of fluid motion F(x, y) = xy²i-x²yj along positively oriented closed curve C…

A: The circulation of a vector field F along a closed curve C is defined as the line integral of F…

Q: Problem 1. Find the local maximum and minimum values (and their locations) and any saddle point(s)…

A: Given f(x,y)=y3+3x2y-6x2-6y2+2 For Stationary points  ∂f∂x=0,∂f∂y=0⇒6xy-12x=0,…

Q: 3. Use Laplace transform to compute and plot the solution of the following differential equations.…

A:

Q: The combined volume of two prisms is 978 in ³. The volume of one of the prisms is 429 in³. What is…

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Q: This answer is incorrect.

A: We know, two matrices are equal if they are term by term (or component-wise) equal.    i.e.,  |– a…

Q: 8 8 Find an explicit formula for the analytic function f(z) that has the Maclaurin ex- pansion k²zk.…

A: The objective is to find the explicit formula for the analytic function f(z) that has the Maclaurin…

Q: 2) A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter.…

A: Radius of the cylindrical tank standing upright, r=1 meter.Rate ate which the water is being drained…

Q: Mrs. Morton has a special reward system for her class. When all her students behave well, she…

A: Given: Mrs. Morton has a special reward system for her class. When all her students behave well, she…