Solve the given optimization problem by using substitution. Find the minimum value of f(x, y, z) = 2x2 + 2x + y2 − y + z2 − z − 5 subject to z = 2y. fmin= (x, y, z) =

Q: Find the expected value of the random variable. 3 0.1 X P(x) 2 0.4 50 4 0.3 0.2 What is the expected…

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Q: Write each solution set using interval notation for the given inequality. 11. x-9 20

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Q: If possible, find A + B, AB, 4A, and 4A 5B. (If not possible, enter IMPOSSIBLE in any cell of the…

A: Note - As per rule I need to solve only first three subparts.

Q: Given the following expression: 3 (xnymzt) ² (3yn6zmx2t)3' ¡,0 < n ≤ 6, −1 < m ≤ 12,2 < t ≤ 9…

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Q: Evaluate the factorial. 16! 161= (Use scientific notation. Use the multiplication symbol in the math…

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Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: A body meets a body passing through the rye. Their paths diverge at an angle of 60°. One travels at…

A: A body meets a body passing through the rye. Their paths diverge at an angle of 60°. One travels at…

Q: Two numbers are taken at random from the five natural numbers 5, 6, 7, y, and z which are not must…

A: Given,Two numbers are taken at random from the five natural numbers 5, 6, 7, y, and z which are not…

Q: 18. Does the relation in the table represent direct variation, inverse variation, or neither? If it…

A: Given :- x 5 10 15 20 y 2 1 2/3 1/2       To find:- Does the relation in the table represent…

Q: Why is cos(m) = (-1)"true, when n could be any integer?

A: We have show that:cosnπ=(-1)n   for n could be any integer

Q: find any points of discontinuity for the rational function y=x-8/(x^2 +6x-7)

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Q: (15x+14x^2-40)/(-2x-5) use polynomial long division to divide.

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Q: riangle JKL is shown in the coordinate plane. Plot the vertices of the triangle resulting from…

A: From graph Coordinates of   ∆JKL⇒J-8,8⇒K-3,3⇒L-8,3

Q: Below is the graph of a polynomial function with real coefficients. All local extrema of the…

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Q: A boat sails on a bearing of 65° for 142 miles and then turns and sails 206 miles on a bearing of…

A: We have to find the distance of boat. A boat sails on bearing of 73° for 134 miles and turns and…

Q: de 43 of 43 ~ m Show 2-column-proof - PowerPoint Given: 21 43 41 42 Prove: 43 = 42 Statement 1.21=…

A: Given that figure

Q: 28. What is the sec A in the right triangle shown? 0 0 0 68 10 0 0 e 6 8

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Q: In Exercises 27-28, what condition, if any, must a, b, and c satisfy for the linear system to be…

A: To determine the condition, if any, a, b, and c must satisfy so that  each of the following linear…

Q: The following matrix is in reduced row echelon form. Determine the solution of the corresponding…

A: 100⋮00110⋮6000⋮1

Q: What would we expect to be the degree of the polynomial graphed above?

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Q: Find the surface area when each line segment in Fig. 10 is rotated about the lines (a) y = 1 and (b)…

A: Although the extreme positions of the lines are not clear and definite from the graph. And let us…

Q: Compute the following. 8000.00(1+0.04) -25 -25 5.00(1-(1- 1-(1+0.04) 25 0.04 +375.00 8000.00(1+0.04)…

A: 8000.001+0.04-25+375.001-1+0.04-250.04

Q: Find the position vector (i.e. the direction vector) from the point P(−4,−6,3) to the point…

A: To find the position vector (i.e. the direction vector) from the point  P-4, -6, 3 to the point Q4,…

Q: Find f. g, g. f, and g. g. f(x) = 3x, g(x) = x² (a) fog (b) g.f (c) 9.9

A: given f(x)=3x and g(x)=x4

Q: Factor the polynomial and use the factored form to find the zeros. (Enter your answers as a…

A: Px=-x3+x2+20x

Q: The equation of a 8th degree polynomial is shown below. p(x) = (x + 5)²(x + 2)(x - 5)5 Identify the…

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Q: Find the inverse function of f. 7x + 7 f(x)= x-2 F-¹(x) = 2x + 7 x-7

A: To find the inverse function of f. fx=7x+7x-2

Q: Problem: How many ordered quadruples (a, b, c, d) satisfy where a, b, c, d are positive integers?…

A: We have to find the number of possible ordered quadruples possible. Number of solution of equation…

Q: 1. cos(arccos(u) + arccos(v)) First, we should think of arccos(u) and arccos(v) as angles. Make up…

A: cosarccosu+arccosv

Q: Suppose that the functions p and g are defined as follows. p(x) = 2x+1 q (x) = -x² Find the…

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Q: How would the logarithmic equation be rewriten without logarithms?

A: To rewrite a logarithmic equation without logarithms, we can use the definition of logarithms and…

Q: Given the function f ( x ) = { 7x−5 if x < 0 7x−10 if x ≥ 0 Calculate the following values: f ( − 1…

A: To find the function value at x = k , substitute x= k in the corresponding function.

Q: U 12 yd 16 20 16 12 16 yd 20 yd Using the triangle shown, which of the following is the ratio for…

A: According to the θ, Base=16yd Height=12yd

Q: Mike has a collection of 23 coins, consisting of 5-cents, 10-cents, and 25-cent coins. He has 3 more…

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Q: 2819 Compute (2979) 4177 You may assume both numbers are prime.

A: We need to compute 28194177 assuming both the numbers are prime Here, we will calculate the Legendre…

Q: Determine the Lower-Upper Decomposition of the matrix A: 37-2 A= 5 1 4 -303 Question: In…

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Q: a. Simplify the following equation: G=1xe/2x2xe/0.5 x0.5xe/0.75

A: According to question,Given expression,G = 1×ej2π×2×ej0.5×0.5×ej0.75

Q: Sketch the graph of the polynomial function. h(x)= x(x-4)(x+4)(x-7) Choose the correct graph below.…

A: Consider the function h(x)=x(x-4)(x+4)(x-7)

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A: suppose z follows the standard normal distribution . to determine the value of c .   P( Z &gt;c  ) =…

Q: Q2. L.T.: I can solve rational equations for "x". Solve for "x". 7 5 x+3 +11 a. 6.27 b. 3.27 c. 6.43…

A: given equation is 7x+3+511=149

Q: A dish of lasagna bake at 400°F is taken out of the oven into a kitchen that is 71°F. After seven…

A: Initial Temperature of dish = 400°F Temperature of the kitchen=71°F Temperature of the dish after 7…

Q: Give the viope and the y tercept of the line 72-By--10. Sope y sercept 10 Enter your answers as…

A: given equation of line is 7x-8y=-10

Q: Find the general solution of the homogeneous system below. Give your answer as a vector. X₁ + 2x2…

A: Given system of equations x1 + 2x2 - 3x3 = 0 4x1 + 7x2 - 9x3 = 0 -x1 - 5x2 + 12x3 = 0

Q: Graph the solution set of the system of inequalities. √x² - y ≤0 2x² + y ≤ 12 No Solution Help -108…

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Q: Find an equation of the circle that has center (2, 2) and passes through (-2, 4). 0 8 0=0

A: Distance between two points ( x1 , y1 ) &amp; ( x2 , y2 ) is given as  d = ( x2 - x1 )2 + ( y2 - y1…

Q: Determine the Lower-Upper Decomposition of the matrix A: A = 37 514 -30 3 a represents ith row and…

A: We need to find the Lower-Upper decomposition of the matrix A.   ⇒A=37-2514-303

Q: Suppose that $69,000 is invested at 42% interest, compounded quarterly. a) Find the function for the…

A: At=P1+rnnt⇒P=Initial amount ⇒n=compounded period ⇒r=rate of interest⇒t=time in years⇒At=Amount at…

Q: Express the angle in radian measure. 330° 0 12 11x 9 11* 6

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Q: T: P₂ → P₂, T(a₁ + ª₁x + ª₂x²) = a₁ + 2a₂x

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Q: Determine whether the planes a₁x + b₁y + c₁z = ₁ and 2x + ₂y + z = d₂ are parallel, perpendicular,…

A: 6x+y-5z=4 ,-42x-7y+35z=5 a1=6,b1=1,c1=-5 a2=-42 ,b2=-7,c2=35