Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y,z) = x² + y² + z²; 2x + 3y -z = 7 ... value of | located at (x,y,z) = (10). There is a (Simplify yo maximum minimum

Q: b. log₂(x 3) = log₂ 9

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Q: Use the TF Method to determine if the following argument is valid or invalid. Create a proof or…

A: answer is in next step

Q: Consider a triangle ABC like the one below. Suppose that a = 14, b=21, and c=23. (The figure is not…

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Q: water level of a river in the city of Melbourne changed by − 4 1/4 feet over a 3-month period. Which…

A: Given query is to find the average rate of chnage per month.

Q: need the answer as soon as possible

A: Topic:- calculus

Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. O y = 15 x 7x X

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Q: q+12-2(q-22)>0

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Q: (4) Draw the missing figure on the sequence below and provide solution/explanation: 4

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Q: Given 1. x√3x 3 64 2. √121 3. √5x4 nd and the index of each radical. Radicand Index

A: To find the radicand and the index for each radical. Note that: qp is called a radical expression in…

Q: Enrollment in a university changed approximately from 9,000 students 2015 to 6,000 students in 2021.…

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Q: Graph of f(x) Graph of / A 1. In the interval 0<x< 1 of the first derivative test, f(x) is Ⓒa.…

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Q: 7. A 200-litre tank initially contains 100 litres of water with a salt concentration of 0.1 grams…

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Q: A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees…

A: Find out the maximum and minimum temperature.

Q: 34 ACTIVITY 1. Construct the truth table: (p^ q) → (~pv q) and determine whether it is a tautology,…

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Q: Write an inequality and solve it: Four more than a number y is less than thirteen

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Q: The qualifying time to make it into the 5K race is 20 minutes or under. Which inequality statement…

A: Explanation of the answer is as follows

Q: Simplify the expression. 25y²-49 25y2-70y+49 Enclose numerators and denominators in parentheses. For…

A: Given problem:-

Q: fill solutions

A: Principles : My work  1) Never procrastinate!  :- Work hours should be as efficient as possible and…

Q: Rewrite 2x²y in exponential form.

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Q: The polynomial x4 - 4x³ +7x² − 16x + 12 has four zeros: two nteger zeros and two complex zeros.…

A: Follow the procedure given below.

Q: The doubling period of a bateria population is 1010 minutes. At time t=90 minutes, the baterial…

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Q: Let f= 1 2 3 4 5 6 7 5 6 3 and g = 1 2 3 4 5 6 7 1 2 7 4 6 be permutations in S7, written in…

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Q: Find the zero(s) of the polynomial ³ - x²-3x+3.

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Q: How many functions map {1, 2, 3, 4, 5, 6, 7, 8} onto {1, 2, 3, 4, 5} (i.e., how many surjections are…

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Q: 3. The calories per serving of 11 fruit juices are shown in the following table. Find the mean,…

A: A detailed solution is given below.

Q: In the formula, shown below, PMT= -nt7 In the formula, shown above, is the regular payment amount…

A: In the given formula  PMT = monthly payment of a loan P = loan amount r = interest rate t = time in…

Q: 315 241 42-9

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Q: (b) Find the limit of u(x, t) as t → ∞o. 10. Let D = {x € R: 0 < x < 1}. (a) Find the solution of…

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Q: The coordinate B (2, 30°, 3) is _____ in RCS. B (1.7321, 1, 3) B (1,1.7321, 3) B (0.3085,-1.9761, 3)

A: Topic:- co-ordinate system

Q: The doubling period of a bateria population is 1515 minutes. At time t=70 minutes, the baterial…

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Q: line passes through the point (3,-8) and has a slope of -9

A: Given problem:- Equation of a line passes through the point (3,-8) and has a slope of -9

Q: X 9 Calculate the expression. Show the solutions. Use the calculator for checking only. ((XY)¹ – Z)¹…

A: Let's calculate given expression by matrix multiplication and matrix transport.

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: Graph the following function over the indicated interval. f(x) = -4*; [-3,3] Choose the correct…

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Q: Question # 3: Graph system of inequalities (x + y ≤ 3 [x² + y² ≥9

A: We can draw the system of the given inequalities. The common region of the given two inequalities is…

Q: Hagrid can travel 40 miles on his motorbike in the same time it takes Severus to travel 15 miles on…

A: Topic:- algebra

Q: What is the solution to 9|x - 81 12 Ox>-12 or x < 8 0-4<x<8

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Q: Draw the missing figure on the sequence below and provide solution/explanation: O O

A: We will draw the missing figure

Q: The beaker contained 400 mL of a solution that was 20% alcohol. How many milliliters of a 50%…

A: This question is based on percentage.

Q: 4 If R is a commutativ ring, show that the characteristic of R[X] is the same the characteristic of…

A: Given

Q: Which system is represented in the graph?

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Q: The subgroup {e} is called the nontrivial, that is, a subgroup that is not e is nontrivial.…

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Q: (a) Define the following terms: (i) Cartesian product of two sets; (ii) relation on a set X. (b)…

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Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 64° when the…

A: A ladder leans against the side of a house. The angle of elevation of the ladder is 64°. The bottom…

Q: Prove the following Theorem. Let A and B be sets and f a function from A to B. Then the following…

A: We will prove it by using basic definition.

Q: 3. How many 3-digit numbers are there that are divisible either by 5, 7 or 9?

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Q: se the graph of f shown in the figure sketch the graph of each of the following. (A) y=f(x)-3 (B)…

A: f(x) graph given, let's find y=f(x+2) graph.

Q: 28, Y= −x2 – 2x + 9 y = 3x + 20

A: We have to find out the solution

Q: The function f(x) is shown in the graph. 2 1 2 3 6 7 -1 0 -1. -2 -3 4 -5 -6 f(x) an

A: Given Problem:- Find the type of graph

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.