Hello Friend,here is the solution for your question
<span>so the given function is </span>
y= √(-2cos²x+3cosx-1)
i.e = √[-2(cos²x-3/2+1/2)]
i.e = √[-2(cosx-3/4)²-9/16+1/2]
i.e. = √[-2(cos-3/4)²-1/16]
i.e. = √[1/8-3(cosx=3/4)²]-----------(1)
Now here in this equation is this quantity :-
<span>(cosx=3/4)²----------------(2) is to it's minimum value then the whole equation </span>
<span>i.e. = √[1/8-3(cosx=3/4)²] will be maximum and vice versa </span>
And we know that cosx-3/4 will be minimum if cosx=3/4
<span>therefore put this in (1) we get </span>
(cosx=3/4)²=0 [ cosx=3/4]
<span>hence the minimum value of the quantity (cosx=3/4)² is 0 </span>
<span>put this in equation (1) </span>
we get ,
i.e. = √[1/8-3(cosx=3/4)²]
=√[1/8-3(0)] [ because minimum value of of the quantity (cosx=3/4)² is 0 ]
=√1/8
=1/(2√2)
<span>this is the maximum value now to find the minimum value </span>
<span>since this is function of root so the value of y will always be ≥0 </span>
<span>hence the minimum value of the function y is 0 </span>
<span>Therefore, the range of function </span>y is [0,1/(2√2)]
__Well,I have explained explained each and every step,do tell me if you don't understand any step._
Zero pair is a pair of numbers whose sum is zero, used to illustrate addition and subtraction problems... with positive and negative integers.
e.g. +1 -1
I hope that this helps
:)
Answer:
Jane spend 4 hours in a day sleeping, and 28 hours in a week.
Step-by-step explanation:
In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.
In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28
I would appreciate brainliest.
<u><em>Answer:</em></u>
There are 7 zeroes in the standard form of 10⁷
The number is: 10,000,000
<u><em>Explanation:</em></u>
<u>A power</u> represents how many times this number is multiplied by itself
<u>For example:</u>
x² means we will multiply x by itself 2 times (x * x)
x⁵ means we will multiply x by itself 5 times (x * x * x * x * x)
<u>The standard form</u> of a number means the number written with no powers
Now, the given number is 10⁷
<u>This means that:</u>
The number is 10 multiplied by itself 7 times
10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10000000 .........> standard form
We can observe that it has 7 zeroes
Hope this helps :)
Answer:
9) 21
10) 70
11) 64
12) 31
13) 83
14) 31
Step-by-step explanation:
too easy!!
