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4 years ago

Find the total surface area of a clyinder.

Mathematics

2 answers:

Rashid [163]4 years ago

7 0

Answer:

the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.

Tom [10]4 years ago

5 0

Step-by-step explanation: The formula is 2 pi r 2 + 2 pi r h

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I'll give brainliest!!!!!!

ludmilkaskok [199]

-2,2 is the answer hoped it helped :)

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4 years ago

Anyone know the answer?

OLga [1]

3. Both are supplementary to angle BCE
4. Angle 2 = Angle 1

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4 years ago

Marine biologists have determined that when a shark detectsthe presence of blood in the water, it will swim in the directionin w

siniylev [52]

Solution :

a). The level curves of the function :

$C(x,y) = e^{-(x^2+2y^2)/10^4}$

are actually the curves

$e^{-(x^2+2y^2)/10^4}=k$

where k is a positive constant.

The equation is equivalent to

$x^2+2y^2=K$

$\Rightarrow \frac{x^2}{(\sqrt K)^2}+\frac{y^2}{(\sqrt {K/2})^2}=1, \text{ where}\ K = -10^4 \ln k$

which is a family of ellipses.

We sketch the level curves for K =1,2,3 and 4.

If the shark always swim in the direction of maximum increase of blood concentration, its direction at any point would coincide with the gradient vector.

Then we know the shark's path is perpendicular to the level curves it intersects.

b). We have :

$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$

$\Rightarrow \triangledown C =-\frac{2}{10^4}e^{-(x^2+2y^2)/10^4}(xi+2yj),$ and

$\triangledown C$ points in the direction of most rapid increase in concentration, which means $\triangledown C$ is tangent to the most rapid increase curve.

$r(t)=x(t)i+y(t)j$ is a parametrization of the most $\text{rapid increase curve}$ , then

$\frac{dx}{dt}=\frac{dx}{dt}i+\frac{dy}{dt}j$ is a tangent to the curve.

So then we have that $\frac{dr}{dt}=\lambda \triangledown C$

$\Rightarrow \frac{dx}{dt}=-\frac{2\lambda x}{10^4}e^{-(x^2+2y^2)/10^4}, \frac{dy}{dt}=-\frac{4\lambda y}{10^4}e^{-(x^2+2y^2)/10^4}$

∴ $\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{2y}{x}$

Using separation of variables,

$\frac{dy}{y}=2\frac{dx}{x}$

$\int\frac{dy}{y}=2\int \frac{dx}{x}$

$\ln y=2 \ln x$

⇒ y = kx^2 for some constant k

but we know that $y(x_0)=y_0$

$\Rightarrow kx_0^2=y_0$

$\Rightarrow k =\frac{y_0}{x_0^2}$

∴ The path of the shark will follow is along the parabola

$y=\frac{y_0}{x_0^2}x^2$

$y=y_0\left(\frac{x}{x_0}\right)^2$

7 0

3 years ago

34% of what number is 51

vaieri [72.5K]

150%

Get 150 and multiply it by (34/100).
In other words, do this: 150 x 0.34 (The 0.34 represents 34%. 0.76 would be 76%, etc) 
This gives you: 51

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4 years ago

Given the following two solids. Complete the following prompts using complete sentences. Write a hypothesis that compares the vo

Bess [88]

Now, there are many types of solids. Hypothesis can be stated as there is a significant discrepancy between solid one from the other sold. Moreover, if the results seems to support the hypothesis then it is somehow reliable and accurate.Thank you for your question. Please don't hesitate to ask in Brainly your queries.

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3 years ago

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