The values based on the calculus computed will be 10✓5, 10✓1, and 20.
<h3>How to calculate the value?</h3>
dy/dt = 5 units.
Differentiate with respect to t.
dx/dt = 1/2✓x dx/dt
dyldt = 5.
dx/dt = 2✓x × 5 = 10✓x
a. When x = 1/5
dx/dt = 10 × ✓1/5 = 10✓5
b. x = 1
Differentiate it
dx/dt = 10✓1
c. x = 4
dx/dt = 10✓4 = 20
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Isolate "x" on one side of the algebraic equation by dividing the number that appears on the same side of the equation as part of "x."
First, solve 7 times square root of 5.
7 x 2.236 = 15.652
Now find the solution above that results in 15.65.
We can quickly eliminate the top 2 as they will result in very large numbers.
The bottom problem is quick to check - simplifies to (7 + 5)/5 = 2.4. No
It looks like the next to last answer is our best bet.
Figure the square root of 196 (14) and multiply by square root of 5 (2.236). Giving us 31.304.
Divide the result by 2. And that gives us 15.652.
If you knew the square root of 196 was 14, it was helpful to find this quickly because 14/2 = 7 and then the other square root was the 5 from the problem.
Perimeter is equal to 2l+2w, or 2 times the length plus 2 times the width.
So to solve for this you'd take 2(6.5) + 2(4.23).
2(6.5)= 13
2(4.23)= 8.46
13+8.46= 21.46 meters.
Based on this, the answer is C.
Vsphere=(4/3)pir^3
Voriginal=(4/3)pir^3
when radius is multiplied by 4
replace r with 4r
Vnew=(4/3)pi(4r)^3
Vnew=(4/3)pi(64r^3)
Vnew=(64)(4/3)pir^3
Vnew=(64)(Voriginal)
the volume is 64 times the original
