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kramer
3 years ago
8

Wilbur landed his plane, causing it to descend at a rate of 0.2 kilometers per minute. He reached the ground after 15 minutes

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0

Answer: If the plane descends at the rate of 0.2 km per minute and landed after 15 mins, that means the plane started at 3 km elevation when it started to descend (t=0). The table is then constructed using the intialn values.

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36 is 25% of what number?
DedPeter [7]

Answer:

36 is 25% of 144

Step-by-step explanation:

25% means 25/100 or 1/4. Thus, 36 is 1/4 of 36*4 = 144

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3 years ago
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Evaluate the integral e^xy w region d xy=1, xy=4, x/y=1, x/y=2
LUCKY_DIMON [66]
Make a change of coordinates:

u(x,y)=xy
v(x,y)=\dfrac xy

The Jacobian for this transformation is

\mathbf J=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial v}{\partial x}\\\\\dfrac{\partial u}{\partial y}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}y&x\\\\\dfrac1y&-\dfrac x{y^2}\end{bmatrix}

and has a determinant of

\det\mathbf J=-\dfrac{2x}y

Note that we need to use the Jacobian in the other direction; that is, we've computed

\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}

but we need the Jacobian determinant for the reverse transformation (from (x,y) to (u,v). To do this, notice that

\dfrac{\partial(x,y)}{\partial(u,v)}=\dfrac1{\dfrac{\partial(u,v)}{\partial(x,y)}}=\dfrac1{\mathbf J}

we need to take the reciprocal of the Jacobian above.

The integral then changes to

\displaystyle\iint_{\mathcal W_{(x,y)}}e^{xy}\,\mathrm dx\,\mathrm dy=\iint_{\mathcal W_{(u,v)}}\dfrac{e^u}{|\det\mathbf J|}\,\mathrm du\,\mathrm dv
=\displaystyle\frac12\int_{v=}^{v=}\int_{u=}^{u=}\frac{e^u}v\,\mathrm du\,\mathrm dv=\frac{(e^4-e)\ln2}2
8 0
3 years ago
What is 2.05 +4.77 ?
Effectus [21]

The answer is 6.82

2 + 4 = 6

.05 + .77 = .82

6 + .82  = 6.82

4 0
2 years ago
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Chandra wants to cover the entire face of the clock with a special gold foil.
Lyrx [107]
120 square inches because a circle is 360 degrees so there will be 6 60 degree sections in it and each 60 degree section needs 20 square inches to cover it  so 6 x 20= 120
3 0
3 years ago
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Find the area of the following shape. (8 points)<br><br> what is the answer?
Ivenika [448]

Answer:

72 square units

Step-by-step explanation:

  1. Identify the height
  2. Identify the length
  3. Multiply those two together
  4. That is your answer

H = 9 units

L = 8 units

A = H × L

A = 9 × 8

A = 72 square units

8 0
2 years ago
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