<span>For this case we have the following expression:
</span>

<span> We are going to make the following change of variables:
</span>

<span>Rewriting the expression we have:
</span>

<span>Factoring the expression we have:
</span>

<span>Canceling similar terms we have:
</span>

<span>Returning the change we have:
</span>

<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
</span>

<span>
Answer: The simplified expression is: </span>
<span>
The restrictions are: </span>
Answer:
1)
Volume of pyramid = 1/3(Ab)(h)
Where Ab is the area of base, h is height
Volume of cone = 1/3(Ab)(h)
a) Their formula for finding volume is same. Also, their painting heads are same.
b) Pyramids have a tetragonal base while cones have a polygonal base
2) Pyramids
Volume of cone = (1/3) πr²h
Since Area of a circle = πr²
So
Volume of pyramid = (1/3)(A)(h)
So we can use the formula of a circle in cone's formula
(40 min)/(5 mi) = (time)/(7 mi) . . . . . the rates are the same
(7/5)*(40 min) = time = 56 min
At the same rate, it would take Petra 56 minutes to jog 7 miles.
Answer:
3
Step-by-step explanation:
The measure of the slope is
at x = a
Differentiate using the power rule
(a
) = na
Given
y = x³ - 1, then
= 3x²
The slope at (1, 0) is
= 3(1)² = 3
Answer:
10.8333......
Step-by-step explanation:
First 65 divided by 6 is equal to 10.8333......
So the answer was 10.8333......