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._
Answer:
20/18
Step-by-step explanation:
2 is the answer
That’s the answer.
<u>Answer:</u>
<u>(BEFORE YOU SUBMIT IT, PLEASE READ THE WARNING)</u>
QUESTION EIGHT: 2690
QUESTION NINE: 120
QUESTION ELEVEN: 12.5
QUESTION FOURTEEN: 24
<u>Step-by-step explanation:</u>
<u>WARNING!! FOR QUESTIONS WITH INTEREST: I do not know if interest is good or bad (if you get money, or if you lose money. I counted interest as making money, but if you are sure it's not, contact me in the comments and I will solve it again! :)</u>
8.
may 3rd -> july 15th = 73 days
500*0.06 = 30
30 = how much he makes in one day (so he has 530 after 1 day)
30*73 = 2190
500 + 2190 = 2690
9.
210/7 = 30
1% for 3 years = 30
1% for 1 year = 10
100% for 1 year = 1000
2000*0.06 = 120
11.
54,000*0.08 = 4320
54,000/4320 = 12.5
14.
5000*6.26% = 312.5
7500/312.5 = 24
