Hello :
the tangent has same slope of the line 16x -y +5 = 0 because parallel.
y = 16x + 5
the slope is : 16
but : f'(x) = 16
f'(x) = 16x^3 - 16x +16
solve : 16x^3 - 16x +16 = 16
x^3 - x +1 =1
x^3 - x = 0
x(x² - 1 ) =0
x(x -1 )(x +1) =0
x=0 or x-1 =0 or x +1= 0
x=0 or x = 1 or x = -1
if : x = 0 : y = 4(0)^4 -8(0)^2+16(0) +7 =7
if : x =1 : y = 4(1)^4 -8(1)^2+16(1) +7 = 19
if : x = -1 : y = 4(-1)^4 -8(-1)^2+16(-1) +7 = -13
<span>the points : A(0,7) , B(1 , 19) , c ( -1 , -13)</span>
Answer:
14
Step-by-step explanation:
f'(2) = 2y + 10
f'(2) = 2(2) + 10
= 4 + 10
= 14
Answer:
Step-by-step explanation:
JM is a diameter. 1/2 JM is the radius. 1/2 10 = 5
The radius is 5
The above statement is true if N is the center.
The semi circle has an area of pi r^2/2 = 5^2/2 * pi = 25/2 * pi
12.5 pi
The area of the other part is
(58/360) * pi * r^2 =
0.161 * pi * 5^2
0.161 * pi * 25
4.03 * pi
Now add these two parts together.
12.5pi + 4.03= 16.53 * pi.
That's one possible answer.
Another would be 16.53 * 3.14 = 51.897
If you have choices, list them.