#### At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:15 the acceleration is exactly 80 mi/h2.

Let v(t) be the velocity of the car t hours after 2:00 PM. Then v(1/4) - v(0)/1/4 - 0 = ??? By the Mean Value Theorem, there is a number c such that 0 < c < ??? with v'(c) = ??? . since...
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09/30/21

#### Calculus problem with Linear Approximation

Use linear approximation, i.e. the tangent line, to approximate 1/0.502 as follows: let f(x)=1/x and find the equation of the tangent line in slope-intercept form to f(x) at a "nice" point near ...
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05/28/21

#### Fill in the blanks

When we solve quadratic equations we use the ____ ____ property.When we are given a problem like 5x^2-18x+52=0 we may be asked to "solve" the equation or we may be asked to find the ____...
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#### What is the equation of a circle whose center is at (2, −4) and passes through (−2, −1)?

What is the equation of a circle whose center is at (2, −4) and passes through (−2, −1)?

12/18/20

#### john henry will build a rectangular corral using 200 meters of barbed wire. describe the area of the corral are a function of one of its sides

john henry will build a rectangular corral using 200 meters of barbed wire. describe the area of the corral are a function of one of its sides.

12/18/20

#### A particle moves along the x-axis so that at time t≥0, its velocity is given by v(t) = sint + cost. What is the acceleration at the time when the velocity is first equal to 0?

How would you solve it without using a calculator?A) -√ 2B) -1C) 1D) √ 2

05/06/20

#### Tangent Lines and Equations

Your job is to find the equation of a tangent line to the curve at the point (1,2)x^4+xy+y^2=7 step by step

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