847 Answered Questions for the topic Calculus 1

07/07/15

Find the rate at which the water level is rising when the water level is 2 cm
An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is... more
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Calculus 1 Calculus

07/06/15

Two variable quantities A and B are found to be related by the equation A^3 +B^3=189. What is the rate of change dA/dt at the moment whn A=5 and dB/dt=3?
Two variable quantities A and B are found to be related by the equation A^3 +B^3=189. What is the rate of change dA/dt at the moment whn A=5 and dB/dt=3?
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Calculus 1 Calculus Logarithms

07/06/15

The magnitude R of an earthquake of intensity I is defined as R=log(I/I0) where I0 is a minimum intensity used for comparison. An earthquake has n intensity of
The magnitude R of an earthquake of intensity I is defined as R=log(I/I0) where I0 is a minimum intensity used for comparison. An earthquake has n intensity of 106.5 x I0. What is its magnitude on... more
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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... more
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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
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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... more
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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
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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
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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... more
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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... more
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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.
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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... more
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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
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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!!
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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]
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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 
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Calculus 1 Calculus Word Problem

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... more
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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 
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Calculus 1 Antiderivative

04/15/15

compute the antiderivative
antiderivative ((1/x+1)-(8x)^(1/3)) dx   Please show all the steps!!
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04/14/15

find the limit
lim(xe^(1/x)-x) x->infinity   Please help! show all steps
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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!
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Calculus 1 Critical Point

04/05/15

find all critical points
f(x)=10((x-1)^2)e^-x
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Calculus 1

04/02/15

Find point of f(x)
Find point on f(x)=x^2 that is closest to point (4,0).
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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)
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Calculus 1 Limits

04/01/15

find the limit
lim  (ln(x^-1))^x x->0+
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