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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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Calculus 1 Calculus Point Slope Form Differentiation

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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Calculus 1 Maximum And Minimum Value

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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Calculus 1

03/09/15

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

Please help me with all the steps!

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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

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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.

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Calculus 1 Maximum And Minimum Value

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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Calculus 1

03/05/15

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

f(x)=(x^3)(e^5x+2)

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Calculus 1

03/05/15

Related rates

A coffee filter has the shape of an inverted cone. Water drains out of the filter at a rate of 10cm3 per minute. When the depth of the water in the cone is 8cm, the depth is decreasing at a rate of... more

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Calculus 1

03/05/15

Find local max and min

f(x)=(x^3)(e^5x+2) f(x)= ln(2x+4)+x^2

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Calculus 1

03/04/15

find local max and min

f(x)= cos^2(x-pi/4) on the interval (0, 2pi)

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Calculus 1

03/04/15

related rates

A space shuttle launches with altitude function a(t) = 20t^2 (t = seconds and a(t) = meters). An observer standing 4 miles away (horizontally) from the launch pad must look up at a higher and... more

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Calculus 1

03/04/15

for each function find values of X where f had local max and min values

a.) f(x)= Cos^2(x-pi/4) on the interval (0, 2pi) b.) f(x)=(x^3)(e^5x+2) c.) f(x)= ln(2x+4)+x^2

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Calculus 1

03/04/15

Consider the function h(x) = 5x^3 - 3x^5

(a) Find the intervals on whichf is increasing or decreasing.(b) Find the local maximum and minimum values off.

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Calculus 1

03/04/15

Find the absolute maximum and absolute minimum values

Find the absolute maximum and absolute minimum values off(x) = (x2 - 1)^3 onthe interval-1 ≤ x ≤ 2

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Calculus 1 Related Rates

03/02/15

related rates?

James is flying a kite 300 ft above ground. A wind gust carries the kite horizontally away from james at a rate of 25ft per second. How fast must james let the string out when the kite is 500ft... more

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