844 Answered Questions for the topic Calculus 1
06/08/15
Inverse function Word Problem
When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor which stores electric charge given by Q(t)=(Q_0)(1-e^(-t/a)) where Q_0 is the maximum charge capacity...
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Calculus 1
06/02/15
A and B constant Question Differentiable
What constants a and b is the function f(x)= a + be^(x-1) if x<1 fx= x+cos2(x-1) if x> or equal to 1 differentiable at x=1
Calculus 1
05/04/15
Proving continuity
F(x)={2x+5; x<2. A) lim x~2-
{9; x=2. B) lim x~2+
{x^3; x>2. C) is f(x) continuous at x=2
I completely forget how to solve...
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Calculus 1
05/03/15
calculus ivt
Find the value of c that is guaranteed by the IVT, so that f (c)=k
F (x)=x^2+6/x^2+1 [0,2] k=5
Calculus 1
05/03/15
calculus ivt
find the value C that is guaranteed by the intermediate value theorem so that f (c)=k
F (x)=6x-9/x-2 [1,5] k=4
Calculus 1
05/02/15
calculus limits
you're given a hundred dollars at the beginning of day 1 at the end of the day you have to give back half of your holdings for each day there after you are given another $100 and at the end of each...
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Calculus 1 Applied Calculus
05/01/15
I am using derivatives to find this. It is business calculus.
A hotel has 300 rooms. All rooms are occupied when the hotel charges $80 per day for a room. Research show that for every one dollar increase in the daily room rate, the number of vacant rooms...
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Calculus 1
04/30/15
How would you use implicit differentiation to find dy/dx of the problem: 7x^2 + 6ln(xy) = 14 ?? I have a test tomorrow morning and im lost.
This is an implicit differentiation problem involving the dy/dx variable and I just can't figure out how to find the derivative of the 6lnxy part of the problem.
Calculus 1
04/30/15
Pre-Calculus
I'm not exactly sure what I'm being asked:what does y equal given the following equation? X=.5y^2-3
what do I need to do for this? I'm given choices, but I'm unsure how to get one of the answers...
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Calculus 1 Calculus
04/27/15
Find Values of a and b and an expression for the function f so that f satisfies the following properties:
ƒ'(x)=ax2+6x+b
ƒ'(1)= 14
ƒ''(1)= 12
∫12 f(x)dx=18
Calculus 1 Integrals
04/27/15
Consider an integrable function f(x) that is odd
Assume that integral from 0 to 5 f(x)dx=6 and integral from 0 to 8 f(x)dx=4
Find:
-integral from 5 to 8 f(x)dx
-integral from -5 to 8 f(x)dx
Please Help!!
Calculus 1
04/27/15
A ball thrown vertically from ground level with initial velocity 3m/s has height h(t) =3t-4.9t^2 m at time t. Find the average height over the interval [0,3]
initial velocity 3 m/sheight h(t) = 3t − 4.9t^2 on interval [0,3]
04/24/15
Given that f(x)=6/x–12 and g(x)=9/x+3, find
(a)(f+g)(x) and its domain is ...
(b)(f-g)(x) and its domain is...
(c)(fg)(x) and its domain is...
(d)(f/g)(x) and its domain is...
domain must be in integral notation for all
04/23/15
Optimization problem -- Calculus
I need help with the following homework problem and setting up the equations as well as how to solve them! (Bees collecting pollen and nectar - Optimization) Many bees collect both pollen and...
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Calculus 1
04/20/15
integrate tan^-1t from o to x in fundamental theorem of Calculus find the increasing and concave up
you have to integrate the problem using fundamental theorem of Calculus to find the intervals for the increasing and concave up
Calculus 1 Antiderivative
04/15/15
compute the antiderivative
antiderivative ((1/x+1)-(8x)^(1/3)) dx
Please show all the steps!!
Calculus 1 Limits Of A Function
04/14/15
find the limit
lim(xe^(1/x)-x)
x->infinity
Please help! show all steps
Calculus 1 Concavity
04/05/15
find intervals on increasing and decreasing as well as where f(x) is concave up and down
f(x)= 10(x-1)^2(e^-x)
Please help!
Calculus 1
04/01/15
find the point on f(x)=x^2 in the first quadrant that is closest to the point (0, 9/2)
find the point on f(x)=x^2 in the first quadrant that is closest to the point (0, 9/2)
Calculus 1 Optimization
04/01/15
optimization problem
A manufacturer wishes to produce rectangular containers with square bottoms and tops, where each container has a capacity of 250 cubic inches. If the material used for the top and bottom costs...
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04/01/15
Applied Optimization Fence Question
The owner of a lumber store wants to construct a fence to enclose a rectangular outdoor storage area adjacent to the store, using part of the side of the store (which is 210 feet long) for part of...
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Calculus 1 Optimization
04/01/15
optimization problem
Your car runs out of gas on a road running north/south at a point 3 miles from the highway (which runs east/west). The nearest gas station is 6 miles east down the highway from the point your road...
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