Answer:
Infinity
Step-by-step explanation:
It is possible for the coin to endlessly fall on tails, so there are infinity different outcomes.
Tell me if I'm wrong :)
how do i answer that I don't even know that sorry
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards.
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards.
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x.
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
=> Area, A
= 2x (y1 - y2)
= 2x (18 - x^2 - 2x^2 + 9)
= 2x (27 - 3x^2)
= 54x - 6x^3
For area to be maximum, dA/dx = 0 and d²A/dx² < 0
=> 54 - 18x^2 = 0
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants)
d²A/dx² = - 36x < 0 for x = √3
=> maximum area
= 54(√3) - 6(√3)^3
= 54√3 - 18√3
= 36√3.
<h3>
Answer:</h3>
C. x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5
<h3>
Step-by-step explanation:</h3>
Wrong terms are bolded:
A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5
B. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y4
C. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5
D. x5 + 5x4y4 + 10x3y3 + 10x2y2 + 5xy + y5
The sum of exponents should always be 5.
