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2 years ago

Brainliest if correct

Mathematics

1 answer:

m_a_m_a [10]2 years ago

4 0

Answer:

correct answer here

Step-by-step explanation:

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Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines. f of x passes through 1, 2

disa [49]

It’s 1,2 f(x) and gf of c

5 0

3 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

Triangle- interior angle Please help !

sp2606 [1]

Answer:

x = 25

<B = 120 degrees

<C = 30 degrees

Step-by-step explanation:

Total angle measure of a triangle - 180 degrees

Add all the angles together to find the value of x

30 + 4x + 20 + x + 5 = 180

55 + 5x = 180

55 - 55 + 5x = 180 - 55

5x = 125

$\frac{5x}{5} = \frac{125}{5}$

x = 25

<B = 4(25) + 20

<B = 100 + 20

<B = 120

<C = 25 + 5

<C = 30

7 0

3 years ago

What is the median of 7,3,4,7,5,6,5,5,4

kolezko [41]

Your median is 5 because that is the number that is mentioned the most.

A median is a number that i said the most.

And in the pic your median is 7.

Hope this helps you :0

4 0

2 years ago

Which graph represents the logarithmic function? y= log (12x+ 2) - 2

Art [367]

I hope this helps :)

8 0

3 years ago