The value of f(5) is 49.1
Step-by-step explanation:
To find f(x) from f'(x) use the integration
f(x) = ∫ f'(x)
1. Find The integration of f'(x) with the constant term
2. Substitute x by 1 and f(x) by π to find the constant term
3. Write the differential function f(x) and substitute x by 5 to find f(5)
∵ f'(x) = + 6
- Change the root to fraction power
∵ =
∴ f'(x) = + 6
∴ f(x) = ∫ + 6
- In integration add the power by 1 and divide the coefficient by the
new power and insert x with the constant term
∴ f(x) = + 6x + c
- c is the constant of integration
∵
∴ f(x) = + 6x + c
- To find c substitute x by 1 and f(x) by π
∴ π = + 6(1) + c
∴ π = + 6 + c
∴ π = 6.4 + c
- Subtract 6.4 from both sides
∴ c = - 3.2584
∴ f(x) = + 6x - 3.2584
To find f(5) Substitute x by 5
∵ x = 5
∴ f(5) = + 6(5) - 3.2584
∴ f(5) = 49.1
Answer: No
Step-by-step explanation: If flipped 400 times and 222 times are heads, then there is a 55.5% chance it will be heads. If flipped 10,000 times, then there should be 5550 heads.
X² - 6x - 9 = 0
x² - 3x - 3x - 9 = 0
x (x-3) -3(x + 3) = 0
(x - 3)² = 0
In short, Your Answer would be Option A
Hope this helps!
Together, the area of the two bases is
(6 in)×(8 in) = 48 in²
The lateral area is the product of the height of the prism (2 in) and the perimeter of the base (6 in +8 in +10 in), so is
(2 in)×(24 in) = 48 in²
The total area is the sum of these
area = 48 in² +48 in² = 96 in² . . . . . . . . . matches the 3rd selection
Answer:
Step-by-step explanation:
Equation of a circle is given as :
Take the derivative of the above with respect to x
The equation of the tangent is given by :
