Answer:
square units.
Step-by-step explanation:
We have to use limits to find the area of the region bounded by the graph
, the x-axis, and the vertical lines x=0 and x=1.
So, the area will be
A = 
= ![[4x - \frac{x^{4}}{2} ]^{1} _{0}](https://tex.z-dn.net/?f=%5B4x%20-%20%5Cfrac%7Bx%5E%7B4%7D%7D%7B2%7D%20%5D%5E%7B1%7D%20_%7B0%7D)
= 
=
square units. (Answer)
Answer:

Step-by-step explanation:
we know that
In the right triangle DEF
----> by TOA (opposite side divided by adjacent side)


F(y) = y + y^2 - 3
f(-2) = -2 + (-2^2) - 3
f(-2) = -2 + 4 - 3
f(-2) = -1
f(-4) = -4 + (-4^2) - 3
f(-4) = -4 + 16 - 3
f(-4) = 9
f(0) = 0 + 0^2 - 3
f(0) = -3
f(2) = 2 + 2^2 - 3
f(2) = 2 + 4 - 3
f(2) = 3
f(4) = 4 + 4^2 - 3
f(4) = 4 + 16 - 3
f(4) = 17
Answer:
13. 9.77 inches (rounded to 3 s.f.)
14. 249m² (rounded to 3 s.f.)
Step-by-step explanation:
13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2
× pi × 7 × 2 = 3
pi
= 9.77 inches (rounded to 3 s.f.)
14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r
× pi × 10 × 10 = 79
pi
= 249m² (rounded to 3 s.f.)