We note that the area of the square is given by: $A(x) = x^2$ but we aim to find $\frac{dA}{dt}$ . But we can use the chain rule to pull out that dA/dt. Doing so gives us:

$\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.$

Now, $\frac{dA}{dx} = 2x$ (by the power rule and $\frac{dx}{dt} = 3.$

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

$\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.$

7 0

3 years ago

Solve to find X !!! I have 6 minutes help

Levart [38]

Answer:
22
Explanation:
I-d-k a educated-guess

5 0

3 years ago

Read 2 more answers

The bar of the square pyramid shown has and area of 576 units. If the slant height of the pyramid is 29 units, what is the heigh

Aloiza [94]

Answer:

$\sqrt{697}$

Step-by-step explanation:

If the base of the square pyramid has an area of 576 units, then the side length must have a length of $\sqrt{576}=24$ . 24/2=12, and using the pythagorean theorem you can find that the height of the pyramid is $\sqrt{29^2-12^2}=\sqrt{697}$ . Hope this helps!

8 0

3 years ago