Answer:

Step-by-step explanation:
Assuming that the first exponent in the formula for the curve should be 3, not 2...

The derivative is

The slope of the tangent line at the point (-1, 2) is the value of the derivative at x = -1.

The slope of the normal line is the opposite reciprocal of the slope of the tangent line.

Using the Point-Slope form of a linear equation, the normal line is

Answer:
then x = 2.
Step-by-step explanation:
4 multiplied by 2 = 8
8 divided by 2 equals 4
Putting it together:
4(2)/2=4
Answer:
12.5%
Step-by-step explanation:
8+4+4=16
2/16*100=12.5
12.5%
#6
x^2 = 1
x = - 1 and x = + 1
#7
a^2 + 1 = 19
a^2 =18
a^2 =√ 9 <span>√ 2
a = + 3</span>√ 2 and a = - 3<span>√ 2</span>
Answer:
y=5sin(16pix)+3
Step-by-step explanation:
Amp=5 means our curve is either y=5sin(bx+c)+d or y=-5sin(bx+c)+d.
y=sin(x) has period 2pi.
So y=sin(bx) has period 2pi/b.
We want 2pi/b=1/8.
Cross multiplying gives: 16pi=b
y=5sin(16pix+c)+d
d=3 since we want midline y=3.
y=5sin(16pix+c)+3
We can choose c=0 since we aren't required to have a certain phase shift.
y=5sin(16pix)+3