<span>, y+2 = (x^2/2) - 2sin(y)
so we are taking the derivative y in respect to x so we have
dy/dx use chain rule on y
so y' = 2x/2 - 2cos(y)*y'
</span><span>Now rearrange it to solve for y'
y' = 2x/2 - 2cos(y)*y'
0 = x - 2cos(y)y' - y'
- x = 2cos(y)y' - y'
-x = y'(2cos(y) - 1)
-x/(2cos(y) - 1) = y'
</span><span>we know when f(2) = 0 so thus y = 0
so when
f'(2) = -2/(2cos(0)-1)
</span><span>2/2 = 1
</span><span>f'(2) = -2/(2cos(0)-1)
cos(0) = 1
thus
f'(2) = -2/(2(1)-1)
= -2/-1
= 2
f'(2) = 2
</span>
Answer 45
Step-by-step explanation:
Because 2 times 5 is 10 so 7 times 5 is 35 then add them together.
Answer:
.78 cents
Step-by-step explanation:
To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.
In this case that would look like: $19.50/100 times 4 =.78
The linear function has an equation
y = -3x + 6
The equation of the circle is
<span>y2 + x2 = 16
Substituting
(-3x + 6)^2 + x^2 = 16
This quadratic equation has real solutions which mean that the line and the circle will intersect
</span>
Answer:
m = rise / run = 1/7
Step-by-step explanation:
Recall that the slope of a line is m = rise / run.
Here we look at x first (to calculate the run): x begins at -7 and ends at 0. Thus, the run is 0 - (-7), or 7.
Now look at how y behaves (find the rise): y begins at 0 and ends at 1. Thus, the rise is 1.
Therefore the slope of the line connecting the two poings given is
m = rise / run = 1/7
