Answer:
3x²
Step-by-step explanation:
=
=
Answer:
1/4
Step-by-step explanation:
The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.
The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...
(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4
We use the given data above to calculate the volume of gasoline that is being burned per minute by commercial airplanes.
Amount burned of 1 commercial airplane = <span>3.9 × 10³ ml of gasoline per second
Number of airplanes = </span><span>5.1 × 10³ airplanes
We calculate as follows:
</span> 3.9 × 10³ ml of gasoline per second / 1 airplane (5.1 × 10³ airplanes)(60 second / 1 min ) = <span>1.2 x 10^9 mL / min</span>
Formula for finding circumference of a circle is 2πr.
Step-by-step explanation:
- The given question says what is the circumference of a circle that is 9cm.
- As radius is required for finding circumference of a circle, the formula is 2πr.
- Therefore taking the formula and substituting radius (r)= 9 cm. We get 2πr as 2×π×9 = 18π cm OR
- If we substitute the value of π as 3.14 we will get⇒ 2×3.14×9= 56.52 cm.
- So the circumference of the given circle would be 18π or 56.52 cms.
