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3 years ago

Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4

1 answer:

7 0

We are given with the focus coordinates of (0,-4) and a directrix equation of y=4,. we are asked for the equation of the parabola. The vertex of the parabola should lie in between the directrix and the focus. Hence, vertex should be at (0,0). the curve goes downwards. and the length of the latus rectum is 4. Hence the equation is x2=-16y

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the lateral surface area of right circular cylinder is 120 pi cm squared and the circumference is 12 cm find the height

konstantin123 [22]

Answer:

h=31.4 cm

Step-by-step explanation:

A=lateral surface area

c=circumference

h=height

A= c*h

solving for h we get:

h=A/c=120pi/12=10pi

6 0

2 years ago

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compare the right-hand and left-hand derivatives to show that the function is not differentiable at the point P. find all points

Softa [21]

$f(x)= \left \{ {{ \sqrt{x} } \atop {2x-1}} \right. 
\\
\\ f'(x)= \left \{ {{ \frac{1}{2\sqrt{x}} } \atop {2}} \right. 
\\
\\ f'(1)= \left \{ {{ \frac{1}{2}} \atop {2}} \right. 
\\
\\ f'(1^-) \neq f'(1^+)$

Therefore, the function is not differentiable at x = 1.

$f(x)= \sqrt{x} 
\\
\\f'(x)= \frac{1}{2 \sqrt{x} } 
\\
\\f'(0)=\frac{1}{2 \sqrt{0} } = \infty$

Therefore, the function is not differentiable at x = 0.

3 0

3 years ago

Precise approximation of squar root of 12

Lady bird [3.3K]

3.46410161514. i used a calculator so hopefully this is correct

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3 years ago

SHOW YOUR WORK!!! Marking best answer as brainliest :))

Wewaii [24]

Answer:

-25

Step-by-step explanation:

You must first pick two points. I picked the points of (4, 400) and (8, 300). You can pick different points and still get the right answer.

Subtract the y's and the x's. Divide the difference of y by the difference of x.

400 - 300 = 100

4 - 8 = -4

100/-4 = -25

The slope, or rate of change, is -25.

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3 years ago

Evaluate the piece wise-defined function for the given values of x by matching the domain values with the range values

ss7ja [257]

Answer:

Step-by-step explanation:

3 0

3 years ago

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