Answer:
Step-by-step explanation:
Hello
<u>Let's note the original speed of the car v</u>
it means that in 1 hour he is going v miles
so to go 200 miles it takes ( in hour)
If the speed of the car is v+5 than to go 200 miles it takes (in hour)
and this time is one hour less so we can write
We can multiply by v(v+5) both parts of the equation so
Only one is positive and this is is
So the original speed is 29.22144... mph
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
10 units is the answer.
Step-by-step explanation:
points are (-3,2) and (-9,-6)
Pythagorean theorem can be written as,
∴ distance between the points = 10 units
To find f'(3) (f prime of 3), you must find f' first. f' is the derivative of the function f(x).
Finding the derivative of f(x) = 2x⁴ requires the use of the power rule.
The power rule for derivatives is . In other words, you bring the exponent forward and multiply it by the coefficient of the term, and then you subtract 1 from the original exponent.
f'(x) = (2x⁴)
f'(x) = 2(4)x³
f'(x) = 8x³
Now, to find f'(3), plug 3 into your derivative.
f'(3) = 8(3)³
f'(3) = 216
<h3>Answer:</h3>f'(3) = 216