F(x) = cos x
f'(x) = -sin x
f''(x) = -cos x
f'''(x) = sin x
f''''(x) = cos x
90/4 = 22 Remainder 2
Therefore, 90th derivative of f(x) = cos x is -cos x.
<h3>
Answer: Choice A. $280.51</h3>
Work Shown:
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 200(1+0.07/1)^(1*5) .... plug in given info
A = 200*(1.07)^5
A = 200*1.4025517307
A = 280.51034614
A = 280.51
the square root of 5000 is 71 (rounded to the nearest)
Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
Answer: 31.5
area of a triangle= bh/2 —> 7 times 3 divided by 2 equals 10.5
area of a rectangle = bh —> 7 times three equals 21
21+10.5=31.5
