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3 years ago

If a height of a cone is doubled then keeping the same radius how much time the volume will increase

1 answer:

7 0

Volume of cone = pi* r^2 *h/3

If you double the height ;
New volume = pi * r^2 * 2h/3

So, new volume will be twice as much.

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8u+9v+3u+5v simplify.

svet-max [94.6K]

Answer: 11 u + 14 v

Step-by-step explanation:

Just add the like terms together.

6 0

3 years ago

Please help me ASAP i only have 5 minutes left

raketka [301]

Answer:

A.6,0,1,4

Step-by-step explanation:

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3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

$x^{\frac{2}{3}}+y^{\frac{2}{3}}=4$

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

$\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=-\frac{2}{3}x^{-\frac{1}{3}}$

$\frac{dy}{dx}=\frac{-\frac{2}{3}x^{-\frac{1}{3}}}{\frac{2}{3}y^{-\frac{1}{3}}}$

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

$y-y_1=m(x-x_1)$

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

8 0

3 years ago

There are 200 balls of the same size inside a dark room. There are 100 white balls, 55 red balls, and 45 black balls. If one stu

Komok [63]

Answer:

Probability of picking Red ball is 27.5%

Step-by-step explanation:

Given:

Total Number of balls = 200

Number of White balls = 100

Number of Red balls = 55

Number of Black balls = 45

We need to find the probability of the ball picked to be red.

Solution:

Now we know that;

Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.

framing in equation form we get;

$P(Red) = \frac{\textrm{Number of Red balls}}{\textrm{Total Number of balls}} \times 100$

$P(Red) = \frac{55}{200}\times100$

$P(Red) = 27.5\%$

Hence Probability of picking Red ball is 27.5%.

6 0

3 years ago

2) HELP!! I don't know what I did wrong, can you tell me the answer and the step by step THANK YOU!!

vovikov84 [41]

The slope is 4/3 & the y- int is 2. the equation is y= 4/3x+2

7 0

3 years ago

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