What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at (0, 0) and its upper right corner on the graph of f(x)=√9-x?

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on x.

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: f(x)%3DX²-2x+5

A:

Q: Find the value of g(x)=√x^2 - 2 if g(x)= -3.

A: find       g(x)= -3.

Q: Graph the function f(x)=-(x+1)^(4)+1. Determine any roots of the polynomial.

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Q: Move the three points so that they form the function f(x) = (x – 5)*(x + 4)²(x– 1). Press the button…

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Q: Let f(x) = x^2 + 8x a. Express f in standard form by completing the square. b. Find the vertex of f.…

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Q: Find the domain and range of the function f(x)=√12-3x^2

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Q: If the point (-1/2, 1) is on the graph of f(x)=a(x-3)^2+50, what is the value of a?

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Q: Is f(x)=x^5 a power of function, a polynomial function, or neither? How do you arrive at this…

A: Given, Is f(x)=x^5 a power of function, a polynomial function, or neither? How do you arrive at…

Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.

Q: Find all the zeros for f(x)=6x^3+294x

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Q: Find the first and second differences of equation f(x) = 10 – (4 – x)^2. Is it a quadratic function?

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Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

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