Answer:
First blank: [-π/2 , π/2]
Second blank: [-π/2 , π/2]
Step-by-step explanation:
The conditions for inverse function to exist is that the function should be one to one function.
A function for which every element of the range of the function corresponds to exactly one element of the domain.
The function can be tested by the vertical line test.
For the given function f(x) = sin x is not one to one function.
so, the domain of the function f(x)=sin x restricted so that its inverse function exists
The domain will be the range provided that when we apply the vertical line test will intersects at only one point
So, the domain will be<u> [-π/2 , π/2]</u>
And this means f(x) = sin⁻¹ x are on the interval<u> [-π/2 , π/2]</u>
Let's check
Remove root over and simplify 1+cot²Ø
- 1+cos²theta/sin²theta
- sin²Ø+cos²Ø/sin²Ø
- 1/sin²Ø
- cosec²Ø
Putting root over
Sin can be found also along with csc
Answer:
The answer to number one is 3 1/2, the answer to number two is 3 1/3, the answer to number three is 1 1/4, the answer to number four is 1 3/5, the answer to number five is 3 1/5, the answer to number six is 19/4, the answer to number seven is 27/5, the answer to number eight is 35/3, the answer to number nine is 24/7, and the answer to number ten is 13/6.
Step-by-step explanation:
To change an improper fraction into a mixed number, you hate to divide the numerator by the denominator. For example, if the improper fraction was 10/5, you would get 2 because 5 goes into 10 two times. If the improper fraction was 8/5, you would do the same thing and get 1 3/5 because 5 goes into 8 once, and since 8 minus 5 is 3, you get 3 over 5.
To change a mixed number into an improper fraction, you have to multiply the denominator my the whole number, and then take that number and add it by the numerator. For example, if the mixed number was 8 2/3, the improper fraction would be 26/3 because 3 times 8 is 24, and 24 plus 2 is 26.
I hope this helps you have a wonderful day :D
Answer:
(D) 36%
Step-by-step explanation:
Actual cost of truck = $4500
Down payment = $1500
Money left to be paid = 4500-1500 = $3000
A = Monthly payments = 350
n = 10
Principal value (P) = 3000
Using formula,
A=
350 =
= 36% (approx)
Hence (D) is correct.
Answer:
<h2>124.1m</h2>
Step-by-step explanation:
29.4 per sec > Building 80m
Height = S = 4.9t^2 + 29.4t + 80
Solve for t:
t = 1.24 (approximately)
If t needed coordinates / solve using the quadratic formula:
t = (1.24 , -7.24)
<h3>The ball's maximum height is 124.1 meters.</h3>