21. Water that is sprayed upward from a

Mathematics

1 answer:

sleet_krkn [62]2 years ago

3 0

Answer:

2 seconds to maximum height
20 meters maximum height
4 seconds to reach the ground

Step-by-step explanation:

The function can be graphed using a graphing calculator, geometry app, or spreadsheet. One such graph is attached. Often, these tools are capable of identifying extrema and intercepts.

<h3>extreme</h3>

The vertex of the graph is reported as (x, y) = (2, 20). This means the maximum height is reached after 2 seconds. That maximum height is 20 meters.

<h3>intercept</h3>

The drop is launched from ground level at x = 0 seconds. It returns to ground level at x = 4 seconds.

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If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) g(9) = 6 h(9) = 4 g' (9) = −6 h' (9) = 4 fx(6, 4) = 9 fy(6, 4)

horsena [70]

Answer:

dz / dt = -50

Step-by-step explanation:

To solve the chain rule must apply, we have all the necessary values to make the calculation, as follows:

using the chain rule, we find:

dz / dt = (∂z / ∂x) * (∂x / ∂t) + (∂z / ∂y) * (∂y / ∂t)

Evaluating when t = 9, we have to:

fx (6, 4) * g '(9) + fy (6, 4) * h '(9)

We know that g '(9) = −6; h '(9) = 4; fx (6, 4) = 9; fy (6, 4) = 1

Replacing:

(9 * -6) + (1 * 4) = -50

Por lo tanto dz / dt = -50

6 0

3 years ago

Answer with steps thnx

expeople1 [14]

Answer:

The area is 432cm squared.

Step-by-step explanation:

To find the area, first you split the figure into 2 rectangles.

The rectangle facing up would be 8cm by 30cm, and the rectangle pointing to the left would be 8cm by 24cm (because you subtract 8 by 32). Next, with those numbers, you can easily find the area. 8cm x 30cm equals to 240cm squared, and 8cm x 24cm equals to 192cm squared. Lastly, you add the both of the areas together, 240cm and 192cm, and you get 432cm squared.

6 0

4 years ago

√(2x+1)<br> Evaluate the integral<br> 2<br> (2x + 1) In (2x + 1)<br> dx.

Crank

Substitute $y=\ln(2x+1)$ and $dy=\frac2{2x+1}\,dx$ , so that