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:
52 yards
Step-by-step explanation:
Perimeter is all sides added together.
13 + 14 + 7 + 18 = 52
I think its 14 because in order to get to 28 but 2 you count 14 times saying 2×14
Answer:I’m going to say it’s A I apologize if it’s wrong
Step-by-step explanation:
Magnets are magnetic fields that compares together when attracted close to one another so that’s Why I’m choosing A because it’s close to what I think
Step-by-step explanation:
<h3>• C. P = Cost Price.. , S. P (Sell Price) , </h3>
<h3>→ C.P = 100×S.P/100+Profit (when profit) </h3>
<h3>(a) C.P = 100 × 55/100 + 10 = 5500/110 </h3>
<h2> C.P » $ 50</h2><h3 /><h3 /><h3>(b) C.P = 100 × 558/100+24 = 55800/124 </h3>
<h2> C.P » $ 450</h2><h3 /><h3 /><h3 /><h3 /><h3 /><h3>→ C. P = 100 × S.P/100 - loss (when loss) </h3>
<h3> (c) C. P = 100 × 680 / 100 - 15 = 68000/85</h3>
<h2> C. P » $ 800</h2>
<h3>(d) C. P = 100 × 11.78 / 100 - 5 = 1178/95 </h3>
<h2> C. P » $ 12.4</h2>
