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2 years ago

\sqrt[n]{x} \\ x^{2} \sqrt[n]{x}" alt="\sqrt[n]{x} \\ x^{2} \sqrt[n]{x}" align="absmiddle" class="latex-formula">Ms. Sanchez is purchasing a car for $14,000. The tax rate in the state where she is buying the car is 7%. What is the total amount she will pay for the car including the tax?

Mathematics

1 answer:

I am Lyosha [343]2 years ago

4 0

My answer to what is the total amount she will pay with 7% tax is $14,980

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The value of 4 becomes 10 times greater in the second number than the first.

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Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

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From the first equation we make t the subject to get;

$x - 5 = ln(t)$

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We differentiate to get;

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At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

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The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

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$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

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$5 = 5 + ln(t)$

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This implies that,

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The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

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