55m

#### A particle P moves along a straight line and its position is given by the function P ( t ) = 1/2(t)^4-3t^2-1, where P(t) is in meters and t is in seconds....

The instantaneous rate of change of the position function P when t = 2 seconds is...
20 m/s
4 m/s
-4 m/s
8 m/s
-8 m/s

#### Calculus FRQ Help?

A particle moves along the y-axis so that its position at time t is given by y(t)= t2tan(1/t) for t>1.a. Show and explain that the velocity of the particle at time t is given by v(t)= 2ttan(1/t)...
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1h

#### A line with a slope of 4 passes through the point 0,2 What is its equation in slope-intercept form?

2h

#### find the volume of a sphere

Find the volume of the sphere. Round your answer to the nearest tenth if necessary.Use 3.14 for π The radius is 9ft

#### Find Lim x--> 0 ( 3x^2 / 1 - cos^2 1/2x )

Hello! I have tried solving this problem and I would just like to verify if the answer is 12. I also found it hard to find a cohesive solution and I would really appreciate some guidance. Thank you...
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9h

#### Let f be continuous and differentiable on [-2, 5]. If f(-2) = 3 and f(5) = -6, then the Mean Value Theorem for derivatives guarantees that..:

f(0) = 0
f'(c) = −97−79 for at least one c between -2 and 5.
−6≤f(x)≤3−6≤f(x)≤3 for all x between -2 and 5.
f'(c) = 0 for at least one c between -6 and 3.
f(c) = 1 for at least one c between -2...
more

#### Legend has it that a bull Sasquatch in rut will howl approximately 9 times per hour when it is 40 degrees F outside and only 5 times per hour if it's 70 degrees F.

Assume that the number of howls per hour can be represented by a linear function of temperature Fahrenheit.A. Build a linear function N(t) which models this situation.b. Determine the reasonable...
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10h

#### Find the table to us x.

lim f(x) =x-> 6
x
5
5.9
5.99
5.999
6
6.001
6.01
6.1
7
f(x)
5
6.8
6.99
6.999
X
7.001
7.02
7.1
10

#### please help- Write a system of equations

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.A camp counselor for a summer day camp sometimes buys lunch for her campers at a nearby...
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11h

#### Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the function in standard form.

numbers are 4 and - square root of 5.

#### please help write a system of equations

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.Rhianna is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 3...
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