Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible region. Click to set the corner points. x + 5y < 40 7x + 5y ≤ 70 X Y 0 10- 9 8 -2 -1 % 7 7 6 5 4 3 2 -1 -2- 1 VI VI AI AI > 2 3 4 5 6 7 8 9 10

Q: 1. Find domain and range of the following functions i) f(x) = ex f(x) = In (1+x) ii) 4x+3 2. Find…

A: 1.i) fx=exii) fx=ln1+x1-x2.fx=4x+32x+5

Q: Express as a single logarithm and, if possible, simplify. 3 1 ww 2 In 4x In 2y 30 5

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Q: Consider the following. f(x) = x4 − 2x2 − 24   (a) Write the polynomial as the product of factors…

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Q: a. Draw the feasible region b. Find the optimal solution geometrically

A: Follow the procedure given below.

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A: The given dimension,  40,000 ft3

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Q: Write ((7^3)^−3)^−3 as a power

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Q: A) (1 + √₂)² B) (1 -√2)² c)(1+√2)(1+√-2) D)(1+√2)(1-√√2) E)√2² + (√2)² Which of the above…

A: A) 1+22B) 1-22C) 1+21+2D) 1+21-2E) 22+22

Q: Problem: What if you had an equation written like x + (-4)= 8? Solution: Remember that a plus…

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Q: what is 3A^T - 2B^T

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Q: 2. Evaluate dy/dx for y= x In x 1+inx

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Q: 23. The population of prey in a predator-prey relation is shown. Time is in years since 2000.…

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Q: 1. A ball fits perfectly inside of a 6-inch cube. What is the volume of the ball in cubic inches?

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Q: If A + B = C, use the matrices below to find the element C 1,2? 4 2 -=[² -3 4 B = 1 A 3

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Q: If F is a field, then it has no proper ideal. От F O O

A: Recall: A field has no proper ideals.

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A: Topic = Algebra

Q: Which of the following graphs represent the system of equations f(x) = x ^ 2 + 2x + 2a and g(x) = -…

A: Topic = Quadratic Equations

Q: 2) Consider the following system: x + by = 9 a₁x + 9y = -27 Determine the value(s) for a for which…

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Q: 14. Prove that (1- cos x) csc x = 1

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Q: Which of the following code fragments ?transposes a matrix A correctly B = transpose(A) O B = A' O B…

A: Transpose of matrix

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Q: Given the following table of values for a one-to-one function g-1(x), determine the graph of g(x). x…

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Q: Determine the order of the matrix. 5 1 4 What is the order of the matrix? X

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A: The formula used here is: A=P1+rnnt...(1) where A= future amount P=Principal amount r=Interest rate…

Q: Rewrite the logarithmic equation as an exponential equation. (Assume u > 0.) log, u = 2

A: I have appended the formula used in the solution part of the question

Q: 4.5) Susan mixes 25 ml disinfectant into 1 liter of water. Determine the total volume of the…

A: Answer (4.5) Given ,  Susan mixes 25 ml disinfectant into 1 liter of water We have to determine the…

Q: Solve using Cayley Hamilton and choose the wright answer 2 Find A¹ of 1²3 4

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Q: For items 24-25: Let A be a 4 x 4 matrix and suppose that |A| = 5. Compute 24. |2A-¹1 16 16 A. 200…

A: For items 24-25:- Let A be a 4x4 matrix and suppose that lAl = 5. Compute Topic :- Matrix

Q: 2 0 1 0 1 C. X = 2 [1 14. Solve AX = B for X if B = 1 and A-¹ = 0 3 L3 4 4 A. X = 71 2 B. X = 4 15.…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

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Q: Help the fix the parabola

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Q: Customers of a phone company can choose between two service plans for long distance calls. The first…

A: Solution : Let the number of minutes be x. Cost of the first plan =10+0.20x Cost of the second plan…

Q: Solve. log 4x = 3 The solution is x = (Simplify your answer.)

A: A logarithmic equation is provided. We have to find a solution.

Q: Find the matrix of the quadratic form. 2 4x1 + 6x +3x3-10x1x2 + X2X3 Select one: O A. O B. C. O D.…

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Q: (f) Solve the following equation, checking that your solution is correct: 24 72 9-xx+3

A: calculation of above requirement are as follows

Q: Determine a number between 1/6 and 4/5.

A: To determine a number between 16 and 45.

Q: Find dy for the function y = cos² 3X + √Sin x dx

A: This question is based on chain rule differentiation.

Q: Which of the following is an identity? A. cos 4x = 4 cos x 2 sin 2r cos 2r D tan 3r 3 tan r B. sin(x…

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Q: If cotx = D. cos x = Z. and x is in quadrant II, then A. sinx || ! B. cos x C. sin a CTLA

A: follow next step

Q: In the monthly payment formula Pr(1+r)^ M (1+r)^ - 1 , what value do you give r if the interest rate…

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Q: 2 f(x) = (-7x4 + 10x + 8)(x2 + 10)

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Q: Can you explain the second question/step 2 more clearly? I'm having trouble following what to do.

A: We have to find the values at which x2 + y2 = 8 passes the vertical line test.