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3 years ago

Choose True it False for each statement below.

Mathematics

1 answer:

Ainat [17]3 years ago

6 0

False, True, True, False

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A librarian recorded the number of books that were checked out on each of the last 9 days,as shown below. 142, 136, 125, 148, 15

lutik1710 [3]

Mean is the sum of values divided by the count of values.

The sum of values is 1,235.

There are 9 values.

1235/9 = 137.22

4 0

3 years ago

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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

4 years ago

5+5<br> and 4 with a side of 3

Mumz [18]

Answer:

10 and 3/4??

High Hopes

Barry-

6 0

3 years ago

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Here is a circle, centre O, and the tangent to the circle at the point (-3, 4) on the circle. У P (-3, 4) X -5 O Oา Find an equa

sattari [20]

Answer:

$y=\frac{3}{4}x+\frac{25}{4}$

Step-by-step explanation:

when a line is tangent to a circle, it is perpendicular to the line from the center of the circle to the intersection of the line and the circle. so first we are going to find the slope of the line in the circle.

to find the slope use the formula $\frac{y_2-y_1}{x_2-x_1}$

$\frac{4-0}{-3-0}=\frac{4}{-3}=-\frac{4}{3}$ so the slope is -4/3

the slope of the line perpendicular to this is the opposite reciprocal: 3/4 so now we have y= 3/4 x +b, to find b plug in the point (-3,4) to get 4=-9/4 +b, b=25/4 the equation is y=3/4 x +25/4

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3 years ago

Marian is a sprinter, running short distances on the track team. She wants to find how fast she runs in miles per hour. What uni

anastassius [24]

Miles per hour= mph...hope this helps!

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3 years ago

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