2 years ago

Help me plz I neeed it for a quiz

Mathematics

1 answer:

iris [78.8K]2 years ago

5 0

40 degrees can I get crown?

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We want to find the maximum and minimum values of f(x, y) = 10x2 + 11y on the disk D: x2 + y2 < 1.

dolphi86 [110]

If you're just focusing on the boundary, it's the circle $x^2+y^2=1$ . Parameterize it by taking $x=\cos t$ and $y=\sin t$ , with $0\le t\le2\pi$ . Then $f(x,y)$ reduces to a univariate function $g(t)$ :

$f(x,y)=10x^2+11y\iff g(t)=f(\cos t,\sin t)=10\cos^2t+11\sin t$

Then you can find any extrema on the boundary by checking the critical points of $g$ .

8 0

3 years ago

Evaluate the expression for the given value of the variable.<br><br><br>n=500<br>∛n/4+n/10=?

schepotkina [342]

Answer:

Step-by-step explanation:

To solve the expression, $\sqrt[3]{\frac{n}{4}} + \frac{n}{10}$ substitute n = 500 and simplify according to order of operations.

$\sqrt[3]{\frac{500}{4} } + \frac{500}{10}\\\\\sqrt[3]{125}+50\\ 5+50\\\\55$

4 0

2 years ago

The formula for the volume V of a cylinder is V=πr2h, where r is the radius of the base and h is the height of the cylinder. Sel

Alja [10]

Answer:

see explanation

Step-by-step explanation:

Given

V = πr²h ( isolate h by dividing both sides by πr² )

$\frac{V}{\pi r^2}$ = h

When V = 36π , r = 3 , then

h = $\frac{36\pi }{\pi (3)^2}$ = $\frac{36\pi }{9\pi }$ = 4 cm

4 0

2 years ago

Read 2 more answers

In a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above t

Katena32 [7]

Answer: 0

Step-by-step explanation:

h ( t ) = − 2 t ^2 + 10 t

h = height of ball above the ground

t = time, seconds after ball was kicked

Height of ball at the time it is kicked?

At the time ball is kicked, time (t) = 0

Therefore,

h ( t ) = − 2 t ^2 + 10 t

h( 0) = - 2(0)^2 + 10(0)

h = 0 + 0

h = 0

The ball was the on the grounf at the time it was kicked.

6 0

2 years ago

Please Help me, I will give brainiest and 100 points

8_murik_8 [283]

Answer:

3242

Step-by-step explanation:

7 0

2 years ago