10/19/21

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... more
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10/19/21

An angle is bisected by a segment forming two new angles ∠1 and ∠2. Find m∠XVW if m∠1=22∘.

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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 ... more
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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 ____... more
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03/01/21

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)?
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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.
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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
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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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