807 Answered Questions for the topic Calculus 1

03/15/16

Find The Equation. the vertex is (4,1) and contains the point (2,3)

this is a writing quadratic function problem.HELP

03/15/16

find the equation if The maximum value of g is g(-1)=6, and g(-3)=4

this is a writing quadratic function problem.HELP
Calculus 1

03/14/16

A 7ft tall person is walking away from a 20 ft tall lamppost at what rate of 5ft/sec. at what rate... the lamppost?

A 7ft tall person is walking away from a 20 ft tall lamppost at a rate of 5ft/sec. Assume the scenario can be modeled by right triangles. At what rate is the length of the persons shadow changing... more

03/13/16

limits of integration

In geometry, you learn that the volume of a cylinder is given by V = πr2h, where r is the radius and h is the height of the cylinder. Use integration in cylindrical coordinates to confirm the... more

03/13/16

Evaluate the integral below given R. (Hint: what is the upper boundary of x?)

Evaluate the integral below given R. (Hint: what is the upper boundary of x?)     ∫∫1_R^  xy daR bounded byx=0y=0y=9−x^2      

03/12/16

probability

 A single card is drawn from a standard 52-card deck. What is the probability of getting:a. A 10 or an Ace? b. An Ace or a diamond?
Calculus 1 Calculus

03/12/16

Calculus: Related Rate Problem

A sand bag is dropped from a balloon at a height of 60 meter when the angle of elevation to the sun is 300. The position of the sandbag is s(t)= 60-4.9t2. Find the rate at which the shadow of the... more
Calculus 1

03/11/16

How do i know if y=x^2/3 Is differentiable ont [-1,10]

Without graphing! Pls help :(
Calculus 1

03/11/16

How do i know if y=x^3/2 is continuous

Without graphing??
Calculus 1

03/07/16

What is its velocity at t = 0?

A particle moves along a line so hat its acceleration, a, at time t is a = -t^2. If the particle is at the origin when t = 0 and 3 units to the right of the origin when t = 1, then what is its... more
Calculus 1

03/06/16

I'm having a little trouble with finding the derivative of y=csc-1(sec x). Any help?

csc-1(sec x)=y
Calculus 1

03/01/16

The graph of f(x) passes through (0,3). The slope of f at any point P is 5 times the y coordinate of P Find f(1)

Looking for the derivative of f at 1.  
Calculus 1 Derivatives

02/23/16

I'm not allowed to use the Chain rule in my midterm, what else can I do to find the derivative of f(g(x)) functions?

I am quite puzzled because I was just told by my professor that we won't be allowed to use the Chain rule in the exam, but in the practise exam they gave us functions like y=e^3x+x to... more
Calculus 1 Derivatives

02/21/16

F'(x) = t'^4/4-t^3+t^2

pls help me find the derivative thanksss

02/16/16

Convert the following polar equation to Cartesian coordinates.

Convert the following polar equation to Cartesian coordinates.   r=8 sin 0

02/16/16

Find dy/dx ??

Given the parametric equations x = f(t) and y = g(t), dy/dx is given by g'(t)/f'(t). Find dy/dx given parametric equations below.   dy/dx=(g^′ (t))/(f^′ (t) )   Parametric... more

02/16/16

Convert the following polar coordinates to Cartesian coordinates.

Convert the following polar coordinates to Cartesian coordinates.   (3,pi/4)

02/16/16

Plot the parametric equations???

Plot the parametric equations below.   x=6 cos t y=4 sin t
Calculus 1 Calculus Calc Calculus 2

02/15/16

Migratory birds fly north past a check-point at 300-300cos(pi(t)/6) birds per month. t= number of months since the beginning of the year.

A. Find the total number of birds for the year. B. When are the birds migrating the fastest. C. When is the migratory rate increasing the fastest?
Calculus 1 Derivatives

02/14/16

Find the derivative of r = 2(1/sqrt theta + sqrt of theta)

i got -1/theta(sq rt of theta) + 2 sq rt of theta howeverrrrr back of the book says 1/theta sq rtof theta + 1/2 sq rt of theta. Pls help and show solution please!
Calculus 1 Derivatives

02/14/16

Find the 1st and second derivative of y=x^3/3+x^2/2+x/4

My answer is x^2/9+x/4however back of the book says x^2+x
Calculus 1

02/09/16

How fast must she let out the string when the kite is 500 ft away from her

A girl flies a kite at a height of 300 feet, the wind carrying the kite horizontally away from her at a rate of 25 feet per second.
Calculus 1 Calculus 3 Calculus 2

02/07/16

converges or diverges ??

Explain why the series below Explain why the series below converges or diverges using the p-series test.      ∑_(i=1)^∞  1/i^3
Calculus 1

02/06/16

Instantaneous rate of change

In a time of t seconds, a particle moves a distance of s meters from its starting point, where s equals 4t squared plus 2.(a) Find the average velocity between t equals 1 and t equals 1 plus h... more

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