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3 years ago

EASY MATH QUESTION PLEASE HELP

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

3 0

F(x)=3x^2-5 when x=-11
f(-11)=3(-11)^2-5
f(-11)=-33^2-5
f(-11)=1089-5
f(-11)= 1084

Hope this could help!

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Solution :

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are actually the curves

$e^{-(x^2+2y^2)/10^4}=k$

where k is a positive constant.

The equation is equivalent to

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which is a family of ellipses.

We sketch the level curves for K =1,2,3 and 4.

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Then we know the shark's path is perpendicular to the level curves it intersects.

b). We have :

$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$

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$r(t)=x(t)i+y(t)j$ is a parametrization of the most $\text{rapid increase curve}$ , then

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So then we have that $\frac{dr}{dt}=\lambda \triangledown C$

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$\ln y=2 \ln x$

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$\Rightarrow kx_0^2=y_0$

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$y=\frac{y_0}{x_0^2}x^2$

$y=y_0\left(\frac{x}{x_0}\right)^2$

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Answer: 44 miles

WORKINGS

Given,
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Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
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Therefore IL^2 = ID^2 + DL^2
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That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
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Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.

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Answer:

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