2 years ago

Question 11 plz, really need help

Mathematics

2 answers:

madam [21]2 years ago

7 0

Answer:

ummm hold on im trying to figure it out sorry might take long

fgiga [73]2 years ago

7 0

I’m trying to see ,

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For breakfast, Paula bought a bagel for $1.05 and a glass of orange juice for $1.95. At lunch, Paula spent $5.00 on a sandwich a

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Step-by-step explanation:

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Raul tossed a coin and spin a spinner with three equal sections. Based upon the results, what is the probability of tossing a ta

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A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce

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Answer:

Step-by-step explanation:

Let H be the set of students who play Hokey

V be the set of students who play Volleyball

S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

= 73 - [50 + (58-50) + (62-50)]

= 73 - [50 + 8 + 12]

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………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

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= 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

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2 years ago

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

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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

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

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3 years ago

Compare the volumes of Prism A and Prism B.

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