807 Answered Questions for the topic Calculus 1

Calculus 1

06/26/17

my question is in the description box, please help me with this problem

d/dx(u^5+u^3), where u=(3/v)-4v, and v =3-x^2, find dy/dx at x=2
Calculus 1 Math

06/21/17

Yield per tree??????????????

The fruit tree yield per tree in an orchard containing 60 trees is 183pounds per tree each year. the yield decreasesby 2 pounds per tree for every additional tree planted. What is theyield per tree... more

06/08/17

For what value of the constant c is the function f continuous on (-infinity, infinity)?

f(x)= cx^2 + 2x   if x < 3 and          x^3 - cx     if x ≥ 3
Calculus 1

05/28/17

Let f(x)=x^3-2x. Calculate the difference quotient f(3+h)-f(3)/h

h=.1 h=0.1
Calculus 1

05/25/17

calculus help pleaseee

1.  Let G(x)=1/x-11. Determine the composite function G◦G and its domain.(G◦G)(x)=???   2.Let f(x)=x^2-4 and g(x)=x^4 Simplify or evaluate the function g(f(u)).
Calculus 1 Calculus Calculu

05/25/17

The number of malaria parasites (p) in the blood h hours after a patient takes the medication is modelled by the function: p = 200 / [0.9 + 0.1e^(2h)]

The number of malaria parasites (p) in the blood h hours after a patient takes the medication is modelled by the function: p = 200 / [0.9 + 0.1e^(2h)] a. what is the initial number of parasites in... more
Calculus 1

05/24/17

stuck on an average velocity question

The position of an object moving along a line is given by the function s left parenthesis t right parenthesis equals negative 19 t squared plus 57 ts(t)=−19t2+57t. Find the average velocity of the... more

05/23/17

What's the general solution for this differential equation?

Dy/DX+3/x y=2x+5
Calculus 1

05/23/17

If the graph of f ′(x) has an x-intercept at x = c, which of the following must be true?

If the graph of f ′(x) has an x-intercept at x = c, which of the following must be true? The graph of f has a relative minimum or relative maximum at x = c. The graph of f has an inflection point... more
Calculus 1

05/22/17

A chef is going to use a mixture of two brands of Italian dressing.

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand contains 13% vinegar. The chef wants to make 200 milliliters of a... more
Calculus 1

05/12/17

simplify the difference quotient

f(x)-f(a)/x-a for the given function  f(x)=4-3x-x^2
Calculus 1

05/12/17

simplify the difference quotient

f(x+h)-f(x)/h   for the given function  f(x)=19/x
Calculus 1

05/12/17

simplify the difference quotients

f(x+h)-f(x)/h for the given function f(x)=4x-2
Calculus 1 Functions

05/12/17

simplify the difference quotients

f(x+h)-f(x)/h and f(x)-f(a)/x-a   for the following function by rationalizing the numerator.   f(x)=sqr rt of x^2-8
Calculus 1 Slope Function

05/12/17

determine the slope function of f(x)=|8x|????

  select and fill out the correct choice below and fill in the answer A. the slope function is s(X)=??? B. and the slope function is the piecewise function s(X)=........x>........ and... more
Calculus 1

05/08/17

AP Calculus Integration Question

The question is to integrate from 0 to 1 (3x-2)^2 dx. At first I got (1/9)(3x-2)^3 and then substituted in 1 to get 1/9 as the answer but for some reason this answer is incorrect. When I checked... more
Calculus 1

05/03/17

Which of these integrals is larger, why?

The integrals are  a) ∫(.5,0) cos(x^2) dx (consider .5 the top number for the integral and 0 the bottom number.)   b) ∫(.5, 0) cos(x1/2 ) dx
Calculus 1

05/03/17

Use differential to estimate the maximum error in the calculated a) surface area ; b) volume?

The circumference of a sphere was measured to be 84 cm with a possible error of .5mm.
Calculus 1 Calculus

04/23/17

how fast if the radius increasing

Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 2 minutes? Rate of change of radius (in feet per second) = 
Calculus 1 Calculus

04/23/17

evaluate the definite integral

Evaluate the definite integral (if it exists)   2 ∫ −1x(√x-1) dx1
Calculus 1 Calculus

04/23/17

evaluate the definite integral

Evaluate the definite integral    a ∫−2x√(x^2+a^2) dx -a
Calculus 1 Calculus

04/23/17

list the critical number of the following function

List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need to use.G(x)=^3√3x^2-3x    The square root is over... more
Calculus 1 Calculus

04/23/17

evaluate the given indefinite integrals

Evaluate the given indefinite integrals. a) ∫ a dx=_____+C b) ∫ t^2 dx=_______+C
Calculus 1 Calculus

04/22/17

oil spilled from a ruptured tanker

Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 9 mi^2/hr. How rapidly is radius of the spill increasing when the area is 9 mi^2?
Calculus 1 Calculus

04/22/17

the top of a 17 foot ladder

The top of a 17 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 4 feet per second. How fast is the bottom of the ladder sliding along the ground when the... more

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