Question 6. Consider the function f : R² R. f(r1, T2) = 8r1 – 4r7 +2r,I2+2r2- 3r3 +10. • If the last digit of your registration number is 1, 5, 6, 8, or 9, then maximise the functionf subject to the constraints: r + 4r <1 and r + x2 < 1.

Q: aximum v al [1, 5] is

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Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: When the quadratic function f is graphed in the xy-plane, where y = f (x), its vertex is (−3, 6).…

A:

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: What is the vertex and y-intercept of the function f(x)=(x−2)2+3?   The vertex is at (−2, 3) and the…

A:

Q: Let f(x)=3(x+2)(x+3). What are the coordinates of the vertex?

A: X coordinate of the vertex=-b/2a Y coordinate of the vertex=putting value of x coordinate in f(x).

Q: find the domain of the given function. Vx²-2y ,2. f ( x, y ) : .A D= {(x,y) ER?: y s 2x²} .B D= {…

A: Option (B) is correct

Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: 13

A: Given query is to find basic function and then transformed function.

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A:

Q: If f(x) = V1lx + 4, then f(x + h) – f(x) A h V11x + 4 + vBx + Ch + D Find A, B, C, and D. A = В — C…

A: We have to find the values of A, B, C, D in the given function.

Q: When dividing the polynomial f(x) by x-p, where p is a real number, the quotient Q(x), then is f'(p)…

A: In the first question it is given that, When f(x) is divided by (x-p), the quotient is Q(x). Now…

Q: Determine the a coordinates of the points of inflection for the function f(x) = 3x590x4 + 11x - 46.…

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Q: Q1// B :-find and sketch the Domain of f(x,y)=v(x-4)+y -9 + 4-x-y

A: Let's find.

Q: Find the area of each circle, given the radius r or the diameter d. Leave your answer in tems of t.

A: See the detailed solution below.

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

A:

Q: Find the domain of f(x) = V3x + 12.

A: Given function: fx=3x+12 The objective is to find the domain.

Q: Write a function for the blue graph of a quadratic function in a form: f(x) = a ( b (x + c))² + d…

A: The given parent graph is shown by red and transformed graph shown by blue in the question.

Q: The Range of the quadratic function f(x) =-² +24r + 55 is O (-55, 12] O (-00, 55] O [55, 00) О (),…

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Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

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Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Use de Moivre’s theorem with n = 4 to prove that cos(4θ) = 8 cos^4 (θ) − 8 cos^2 (θ) + 1

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Q: The fixed point of the function f(x) = 9x – (2) 3× + x – 3 is: Select one: а. 4 b. 1 C. 3 d. 2

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Q: State the domain and range of f(x) if h(x) = f(x) + g(x) and h(x) = -2x²+x+2 when g(x) = -2x + 4.…

A: