811 Answered Questions for the topic Calculus 1

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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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
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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... more
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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... more
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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
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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
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Calculus 1 Pre Calculus Honors

03/19/15

Simplify sin^2x/sec^2x-1
Verifying the identity
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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.)
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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
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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
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03/13/15

Fine the point on the line
Find the point on the line 4x+3y–6=0 which is closest to the point (–4,1).
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03/09/15

f(x)=(2^x)/x^2
find f'(x) and intervals where f is increasing and decreasing. please show all steps.
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