3 years ago

What is 57 miles an hour in fps?

Mathematics

2 answers:

babunello [35]3 years ago

5 0

The answer is 83.6 fps

Alex787 [66]3 years ago

5 0

The answer is 83.6 Feet per second

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Find the derivative of the function at P 0 in the direction of A. f(x,y,z) = 3 e^x cos(yz), P0 (0, 0, 0), A = - i + 2 j + 3k

Alik [6]

The derivative of $f(x,y,z)$ at a point $p_0=(x_0,y_0,z_0)$ in the direction of a vector $\vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k$ is

$\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}$

We have

$f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k$

and

$\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}$

Then the derivative at $p_0$ in the direction of $\vec a$ is

$3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}$

3 0

3 years ago

Write an equation of the line passing through the point (1, 5) that is parallel to the line y=−3x+5.

lord [1]

A line parallel and passing through point (1,5) would be y=-3x+8

7 0

3 years ago

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The equation for a circle is x2+10x+y2+12y+52=0 .

aev [14]

I believe the answer is (x+5)^2+(y+6)^2=9

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3 years ago

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Expand -X(-5-4x) + 2(10x+3)

Evgesh-ka [11]

Answer:

4x^2 + 25x + 6

Step-by-step explanation:

-x(-5-4x) + 2(10x+3)

5x + 4x^2 + 20x + 6

4x^2 + 25x + 6

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3 years ago

46.231 divided by 1000

Roman55 [17]

Answer:

0.046231

just use a calculator my dude

8 0

2 years ago

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