Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
Step-by-step explanation:
It is given that,
Initial speed of the car, u = 40 m/s
Final speed of the car, v = 25 m/s
Time taken, t = 3.5 s
(a) We need to find the magnitude and direction of the car’s acceleration as it slows down. It can be calculated using formula as :
The acceleration is in the opposite direction of motion i.e. west.
(b) Let s is the distance the car travel in the 3.5-s time period. It can be calculated using the third equation of motion as


s = 113.9 meters
Hence, this is the required solution.
Answer:
194.8 miles
Step-by-step explanation:
510 - 315.2 = 194.8
Hope this helps!
Answer:
7. parallelogram
8. square
9. trapezoid (trapezium) (maybe "acute" - can't see the whole image)
10. rhombus
11. ?
12. rectangle
13. equilateral triangle
14. scalene triangle
15, 16, 17 and 18 are all isosceles triangles as they have 2 sides of equal length
i read in class 4 but I don't explain the answer