3 years ago

Lilah completed the division problem below.

Mathematics

1 answer:

victus00 [196]3 years ago

6 0

A - False

B - True

C - True

D - False

E - True

-----
7.84 / 2 = 3.92

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A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.

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Hello,

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Will ran four miles on his first day of training. The next day he ran one-third that distance. How far did he run the second day

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Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your

BaLLatris [955]

$f(x,y)=\dfrac{y^3}x$

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$\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}$

b. The gradient at point P(1, 2) is

$\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}$

c. The derivative of $f$ at P in the direction of $\vec u$ is

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It looks like

$\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath$

so that

$\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2$

Then

$D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}$

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3 years ago

Find a point on the graph of the function y=f(x)+3

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3 years ago

The ratio of boys to girls who play soccer in Mr. Fraser’s class is 14:6. If there were 400students in the school, how many boys

ollegr [7]

Answer:

280

Step-by-step explanation:

Set up a ratio to solve.

Mr. Fraser's class has 20 soccer playing students, and 14 are boys.

14/20 = x/400

Cross multiply. 20x= 5600

Divide by 20 to solve

x= 280

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