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Fed [463]
3 years ago
8

What is the y value when x equals 21? y=310-25(x)​

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

Step-by-step explanation:

You subtract 310 from 25 and get 285 then you multiply 285 x 21 and I believe that should solve this equation.

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3 years ago
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustra
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Answer:

x = t

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Step-by-step explanation:

Given

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The vector equation is given as:

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Substitute values for x, y and z

r(t) = (t,\ e^{-t},\ 2t - t^2)

Differentiate:

r'(t) = (1,\ -e^{-t},\ 2 - 2t)

The parametric value that corresponds to (0, 1, 0) is:

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Substitute 0 for t in r'(t)

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r'(0) = (1,\ -1,\ 2 - 0)

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The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

r(t) = a + tv

Such that:

a = (0,1,0) and v = r'(0) = (1,-1,2)

The equation becomes:

r(t) = (0,1,0) + t(1,-1,2)

r(t) = (0,1,0) + (t,-t,2t)

r(t) = (0+t,1-t,0+2t)

r(t) = (t,1-t,2t)

By comparison:

r(t) = (x,y,z) and r(t) = (t,1-t,2t)

The parametric equations for the tangent line are:

x = t

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