F(x) is a piecewise function defined as:
f(x) = (3/2)x when 0 <= x <= 2
or
f(x) = -(3/2)x+6 when 2 < x <= 4
g(x) is defined as:
g(x) = -(1/4)x+1 when 0 <= x <= 4
Based on the graph or through the equations we can say:
f(1) = (3/2)*1 = 1.5
g(1) = -(1/4)*1+1 = 0.75
f(3) = (3/2)*3 = 4.5
g(3) = -(1/4)*3+1 = 0.25
And the derivative values are:
f ' (1) = 3/2 = 1.5
f ' (3) = -3/2 = -1.5
g ' (1) = -1/4 = -0.25
g ' (3) = -1/4 = -0.25
which are the slopes of each line
So...
h(x) = f(x)*g(x)
h ' (x) = f ' (x)*g(x) + f(x)*g ' (x) ... product rule
h ' (1) = f ' (1)*g(1) + f(1)*g ' (1)
h ' (1) = 1.5*0.75 + 1.5*(-0.25)
h ' (1) = 0.75
and,
h(x) = f(x)*g(x)
h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)
h ' (3) = f ' (3)*g(3) + f(3)*g ' (3)
h ' (3) = -1.5*0.25 + 4.5*(-0.25)
h ' (3) = -1.5
Answer:
Step-by-step explanation:
Can we get the Answer's to see. Thanks.
Answer:
Option D. 
Step-by-step explanation:
we know that
The volume of the cone is equal to

In this problem we have


substitute the values

Answer and Step-by-step explanation:
1. We can see that this kite-shape has 4 triangles in it.
The area of a triangle is as follows:

Where:
b = Base (length)
h = Height
<u>Top Right Triangle Area:</u>
b = 9
h = 3
A = 
A = 
<u>Bottom Right Triangle Area:</u>
b = 9
h = 3
A = 
A = 
<u>Top Left Triangle Area:</u>
b = 4
h = 3

A = 
A = 6
<u>Bottom Left Triangle Area:</u>
b = 4
h = 3

A = 
A = 6
Now, we add all the areas together to get the area of the kite figure.
A =
+
A = 27 + 12
A = 39
<u>The area of the kite figure is 39 </u>
<u>.</u>
2. We have to find the area of the trapezoid.
(I'm not sure if the 9 is for the entire bottom side length)
- If the bottom side length is 9, then we would use the formula:
A = 
to find the area of the entire trapezoid.
A =
× 8.2
A ≈ 46.74 
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
Step-by-step explanation:
when both are 0, because that means that the graph goes trough the origin so the x-intercept is at (0,0) and the y-intercept is at (0,0)