Answer:
12π
Step-by-step explanation:
The formula for arc length is given as:
Plug r = 24 and θ=π/2 in the above formula, we fi d:

Answer:
g(x) = |1/3x|
Step-by-step explanation:
f(x) = |x|
y = f(Cx) 0 < C < 1 stretches it in the x-direction
g(x) = |1/3x|
Answer:
Please check the explanation.
Step-by-step explanation:
Given
f(x) = 3x + x³
Taking differentiate



solving






now solving




Thus, the expression becomes


Thus,
f'(x) = 3 + 3x²
Given that f'(x) = 15
substituting the value f'(x) = 15 in f'(x) = 3 + 3x²
f'(x) = 3 + 3x²
15 = 3 + 3x²
switch sides
3 + 3x² = 15
3x² = 15-3
3x² = 12
Divide both sides by 3
x² = 4



Thus, the value of x will be:

5 is in the thousands place. 6 is in the hundreds place. 7 is in the tens place. 8 is in the ones place. 3 is in the tenths place. 2 is in the hundreths place. 1 is in the thousandths place.