The coordinate plane below represents a city. Points A through F are schools in the city.

Describe how you would find the maximum and minimum values for tangent of the typical angles used on the unit circle. What are t

Ipatiy [6.2K]

3down votefavorite1Find minimum and maximum value of function f(x,y)=3x+4y+|x−y| on circle{(x,y):x2+y2=1}I used polar coordinate system. So I have x=cost and y=sint where t∈[0,2π).Then i exploited definition of absolute function and i got:h(t)={4cost+3sintt∈[0,π4]∪[54π,2π)2cost+5sintt∈(π4,54π)Hence i received following critical points (earlier i computed first derivative):cost=±45∨cost=±2√29Then i computed second derivative and after all i received that in (2√29,5√29) is maximum equal √29 and in (−45,−35) is minimum equal −235

6 0

2 years ago

Find f(-4) if f(x) = {(2,-4), (4,0), (5,-4), (-4, 0)}

Troyanec [42]

Answer:

If f(x) = 2x2 - 4x + 3 evaluate for f(3) and f(-4) 2. g(x) = V - 2x; find g(-27) and g(-1) ... {(-3,0), (+3, 3),(-3,2)} ... If f(x) = 5x+5, find and simplify f(4).

8 0

2 years ago

A(-2,3) B(2,3) C(2,-3) D(-2,-3) Math question please help

Snowcat [4.5K]

The number on the left is the x, and the number on the right is the y. so if the x is negative, then it would be on the x axis line. and you always use the x line first.

3 0

2 years ago

The Environmental Protection Agency must visit nine factories for complaints of air pollution. In how many ways can a representa

kirill115 [55]

Answer:

The number of ways is $\left 9}\atop } \right. P _5 = 15120$

Step-by-step explanation:

From the question we are told that

The number of factories visited is $n = 9$

The number of factories to be visited by a representative r = 5

The number of way to visit the 5 factories is mathematically represented as

$\left 9}\atop } \right. P _5 = \frac{9!}{(9-5)!}$

Where P represents permutation

=> $\left 9}\atop } \right. P _5 = \frac{9 \ !}{4\ !}$

=> $\left 9}\atop } \right. P _5 = \frac{9 *8*7 * 6 * 5 * 4!}{4\ !}$

=> $\left 9}\atop } \right. P _5 = 15120$

8 0

2 years ago

Matt has answered 20 over 25 of the questions on a test. what percentage of the test question has Matt answered

lyudmila [28]

So,

Matt answered 20 out of 25 questions.
$\frac{20}{25}$

We need to get the denominator to be 100. We can do that by multiplying the fraction by a form of 1.
$\frac{20}{25} * \frac{4}{4} = \frac{80}{100}$

From here, it should be easy to see that Matt has answered 80% of his test.

6 0

2 years ago

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