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3 years ago

A ball is thrown into the air at an initial velocity of 18 meters per second from an

Mathematics

1 answer:

wel3 years ago

4 0

Answer:

The maximum height is 26.5 meters.

Step-by-step explanation:

I know this graph is facing downwards because of the negative leading coefficient, this means that the vertex is a maximum not a minimum. In order to find the maximum height, we would need to take the derivative and equate it to 0, this will give us the vertex. I got that t = $\frac{18}{9.8}$ .

This is the time in which the ball was at the vertex or maximum. Now, in order to find the height we would need to plug it in back to the formula and this would give us the height. In this case it is 26.5 meters.

Hope this helps

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Evaluate the surface integral. S xz ds, s is the part of the plane 2x 2y z = 4 that lies in the first octant

maksim [4K]

The value of the given surface integral is 4.

The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.

$S(u,v)=(1-u)((1-u)(2,0,0)+u(0,2,0)+u(4,0,0)\\S(u,v)=(2(1-u)(1-v),2u(1-v),4v)$

<h3>What is the surface integral?</h3>

A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.

with 0≤u≤1 and 0≤v≤1. Then the surface element ds is equivalent to

$ds=\||\:\left(s_u\times \:\:S_v\right)||dudv=12\left(1-v\right)dudv$

The surface integral is then

$\int \:\int \:_Sxzds=12\int _0^1\:\int _0^1\:\left(2\left(1-u\right)\left(1-v\right),2u\left(1-v\right),4v\right)dvdu=4$

Therefore the value of the given surface integral is 4.

To learn more about the integral visit:

brainly.com/question/14295614

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2 years ago

What are both of these?

allochka39001 [22]

Pshhhh she said math negatives I’m pretty sure.

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Ken wants to buy two shirts. The original price of the first shirt is $34, and the original price of the second shirt is $28. Ke

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Brut [27]

So, the easiest thing to do here is to add up the numbers of each option to find the number most similar to the solution of (-4/5)(3/5)(-6/7)(5/6) which is approximately equal to 0.34.
The product of expression A is -0.25
The product of expression B is 0.50
The product of expression C is 3
The product of expression D is -0.05625

So, first of all, we can rule out choices A and D because they are both negative, whereas 0.34 is not. Now, we just have B and C, and clearly, B is much closer to 0.34 than C is, so B is the correct answer. I hope this helps! :)

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