844 Answered Questions for the topic Calculus 1

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
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... more
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... more
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
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... more
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 
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
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!!

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 Critical Point

04/05/15

find all critical points

f(x)=10((x-1)^2)e^-x
Calculus 1

04/02/15

Find point of f(x)

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

04/01/15

find the limit

lim  (ln(x^-1))^x x->0+
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... more

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... more
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... more

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