-5 + 6d + 3 = 34
-2+6d=34
Add 2 to both sides
6d=36
Divide both sides by 6
6d/6=36/6
d=6
Check:
-5 + 6d + 3 = 34
Substitute d=6 into the equation
-5+6(6)+3=34
-5+36+3=34
31+3=34
34=34
Hope this helps! :)
We'll need to find the derivative of the given function with respect to x and then evaluate the result at the value pi/2.
<span>y = 8x sin(x) is a product: y = [8x] * [sin x]. We must use the product rule for differentiation:
dy/dx = [8x][cos x] + [sin x][8]
Now substitute pi/2 in the above derivative. We get:
(slope of tangent line) = dy/dx = [8pi/2][cos pi/2] + [sin pi/2][8]
The slope of the tangent line is m = [8pi/2][0] + [1][8] = 8
Thus, the equation of the tangent line is y-4pi = 8[x-pi/2], or
2y-8pi = 8[2x-pi]</span>
To find the average rate of change in a interval
We use the following formula:
Applying this to our interval
We have the following rate of change:
We have an average rate of change equals to 6.
Answer:
x = 6
Step-by-step explanation:
Given
y = x - 3 and y = 11, thus
x - 3 = 11 ( add 3 to both sides )
x = 14
Multiply both sides by 3 to clear the fraction
7x = 42 ( divide both sides by 7 )
x = 6