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Advocard [28]
3 years ago
6

The function f is defined by f(x) = a + bcos2x, for 0 ≤ x ≤ π. It is given that f(0)=−1 and f(1/2π) = 7. (i) Find the values of

a and b.
Mathematics
1 answer:
olga_2 [115]3 years ago
4 0
Sub in given values to get 2 equations.

a + b \cos(2*0) = -1 \rightarrow a+b = -1 \\  \\ a+b \cos(2*\frac{\pi}{2}) = 7 \rightarrow a - b = 7

Solve system using elimination.  Add the equations together, cancelling out 'b'
2a = 6 \\  \\ a = 3

Sub into first equation to get value for 'b'
3+b = -1 \\  \\ b = -4
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Look at the division problem
Troyanec [42]

Answer: 3

<h2 />

Step-by-step explanation: because of the decimal you have to place a zero regardless and the other 2 zeros you can’t do anything with them. Hope this helps!

8 0
3 years ago
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lilavasa [31]

Answer:

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Step-by-step explanation:

8 0
3 years ago
A fair coin is tossed three times in succession. The set of equally likely outcomes is StartSet HHH comma HHT comma HTH comma TH
liq [111]

The probability of getting exactly zero tails is 1/8.

Step-by-step explanation:

When a fair coin is tossed three time, the set of equally likely outcomes is:

S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}

n(S)=8

Let A be the event that there are exactly zero tails which means there are all heads

Then

A= {HHH}

n(A)=1

P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}

The probability of getting exactly zero tails is 1/8.

Keywords: Probability, Equally likely events

Learn more about probability at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

5 0
2 years ago
The distance between two cities is 325 miles.
Papessa [141]
About 50 miles. hope this helps!
8 0
2 years ago
Read 2 more answers
Solve the following triangle in which given sides are<br> a=7 b=7 c=9
blagie [28]
We have an isosceles triangle;
A=opposite angle side a.
B=opposite angle side b.
C=opposite angle side c.

A=B
Method 1:

We can divide the isosceles triangle in two right triangles,
hypotenuse=7
side=9/2=4.5

B=A=arccossine (4.5/7)=49.994799...º≈50º
C/2=90º-50º=40º  ⇒ C=2*40º=80º

Answer:
a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º

Method 2:
Law of cosines:
a²=b²+c²-2bcCosA  ⇒CosA=(a²-b²-c²)/(-2bc)
CosA=(49-49-81) / (-126)=0.642857
A=arco cos (81/126)≈50º

B=A=50º

A+B+C=180º
50º+50º+C=180º
C=180º-100º
C=80º

Answer:

</span>a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º</span>

8 0
3 years ago
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