807 Answered Questions for the topic Calculus 1

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
Calculus 1

04/01/15

find the best linear approximation

f(x)=1/(√1+x)   please note that it is square root of 1+x
Calculus 1

03/29/15

problem is below

This is an optimization problem   doug is planning a rectangular garden with roses along the front and a hedge along the other three sides. Along the front he wants an opening which is 5 ft long.... more
Calculus 1 Pre Calculus Honors

03/19/15

Simplify sin^2x/sec^2x-1

Verifying the identity
Calculus 1

03/18/15

Please answer my question with steps.

A pig farmer has 1200 ft of fencing and wants to fence off a rectangular field. What are the dimensions of the field that has the largest area? (Use calculus to answer the question.)
Calculus 1

03/17/15

f(x)= (100(x-5))/(x-3)^2

can you help me find the intervals it is increasing and decreasing  also where i would find any asymptotes. also where it is concave up or concave down   THANK YOU
Calculus 1

03/17/15

a port and a radar station are 4 mi apart on a straight shore

a port and a radar station are 4 mi apart on a straight shore running east to west a ship leaves the port at noon traveling 11 mph. if the ship maintains its speed and course, what is the rate of... more

Fine the point on the line

Find the point on the line 4x+3y–6=0 which is closest to the point (–4,1).

03/09/15

f(x)=(2^x)/x^2

find f'(x) and intervals where f is increasing and decreasing. please show all steps.
Calculus 1

03/09/15

If f(x)= ln(x) + arctan(x) ; find (f^-1)'(pi/4)

Please help me with all the steps! 
Calculus 1 Functions

03/09/15

f(x)=(2^x)/x^2

a.) Find f'(x) b.) Find the intervals where f is increasing and the intervals f is decreasing. c.) Use the fact e=2.71 to find two integers that ln(2) is between. Is 2/ln(2) greater than or less... more
Calculus 1 Functions

03/08/15

f(x)=(2^x)/x^2

(a) Find the domain of f(x). (b) Find the horizontal asymptotes of f(x). (c) Find the vertical asymptotes of f(x). (d) Find the x intercepts. If there are none, state so.

03/05/15

Find the values of x where f has a local max and min

f(x)= ln(2x+4)+x^2

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