844 Answered Questions for the topic Calculus 1

Calculus 1

09/18/15

Find following limits exactly if they exist. If not, enter DNE ('does not exist') as your answer.
Let lim g(x)=4,   lim h(x)=9,     lim f(x)=0       x→a              x→a             x→a   Find following limits exactly if they exist. If not, enter DNE ('does not exist') as your answer. 1. lim... more
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09/16/15

Word Problem that asks to give the monthly cost as a function of x
A cell phone plan has a basic charge of $35 a month.The plan includes 400 free minutes and charges 10 cents for each additional minute of usage. Write the monthly cost C as a function of the number... more
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Calculus 1

09/15/15

Find the slope m of the tangent to the curve y = 3/ x at the point where x = a > 0.
Find equations of the tangent lines at the points (1, 3) and (4, 3/2)
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Calculus 1

09/11/15

Prove the statement using e and delta
Prove the statement using e and slim (1-4x)=13x→-3 Prove the statement using ε and splease show steps and similar example
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09/07/15

List all vertical and horizontal asymptotes, if any, of f(x) and explain (using limits) why each is an asymptote.
Consider the function f(x) = [(x − 1)(x − 3)]/[2x(x+1)]   I think the vertical asymptotes are 0 and -1 and the horizontal asymptote is 1/2  please correct me if I am wrong...   I just need... more
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Calculus 1

09/06/15

Calculus functions and models
The cost of producing 480 permanent markers is $895. Producing 530 permanent markers would cost $915. Find the average cost per permanent marker of the additional 50 permanent markers over 480.... more
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Calculus 1

09/06/15

calculus functions and models
suppose the revenue R from the sale of a product is directly proportional to the number of units x that are sold. Suppose also that the sale of 75 units earns a revenue of 1586.25. Find the revenue... more
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Calculus 1 Algebra 2 Physics

09/03/15

Average Speed and Average Rate of Change
A train travels from city A to city B and then to city C. The distance from A to B is 97.5 miles and the distance from B to C is 70 miles. The average speed from A to B was 65 miles per hour, and... more
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08/28/15

What is the limit of (x)/(sin (3x)) as x approaches 0?
I had to solve it by using a calculator but I was wondering, is there a way to solve this analytically? Just wondering, in case it pops up on a no-calculator test.   Thanks a bunch!
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Calculus 1

08/24/15

Calculus Question
If the density of an 18 in long metal bar is proportional to the distance from one endpoint then the centroid of the bar is 12 in from that same endpoint
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Calculus 1

08/24/15

Calculus Question
a solid is created by revolving the region bounded by y = 2x2 x = 3 and y = 0 about the x-axis which is the centroid of the solid
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Calculus 1

08/16/15

Calculus Question
Logb square root x (x + 4)/x2     Write each expression as a sum, difference or multiple of single logarithms.   I don't know how to answer the question please explain step by step to get the... more
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08/14/15

find all constants a,b such that the following function has no discontinuities
f(x)= ax+cosx for x≤ (pi/4)          bx+2 for x>(pi/4)
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Calculus 1

08/14/15

find the value of c that makes the function continuous.
f(x)= 2x+9 for x≤3          -4x+c for x>3
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Calculus 1

08/03/15

Please help thanks!
Sketch the region in the first quandrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=2cos(x),    y=10sin(2x),   x=0
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Calculus 1

08/03/15

Please help thanks!
Sketch the region in the first quadrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.   y=2cos(x) ,    y=10sin(2x) ,    x=0
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Calculus 1 Mean Value Theorem

08/02/15

Mean Value Theorem
a.) Verify that the hypotheses of the Mean Value Theorem are satisfied for each of the functions on the given interval, and b.)find the value of "c" which Mean Value Theorem... more
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07/21/15

Related Rates
A child's balloon rises into the air at a rate of 2.5 ft/sec. The child runs over to his mom (5.75 feet from where he lost it) and watches the balloon ascend into the sky. How fast is the angle of... more
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Calculus 1

07/21/15

Having trouble understanding this limit calculation
Can anyone explain what is happening here? http://imgur.com/hn0UVjn ; I understand multiplying by the conjugate, but why do the signs change in the outlined part? And if the bottom denominator is... more
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Calculus 1

07/10/15

Hello. I am in college studying petroleum engr. I am thinking of skipping trig. To calc. 1 is that gonna affect me?
Can i skip trig. Straight to calc. 1 by doing the compass test?
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07/07/15

What is The actual speed (along the road) of the red car for the measurement feet per second?
A police car is located 30 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the police... more
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07/07/15

What is The rate of change of the area enclosed between the circle and the square
A circle is inside a square.The radius of the circle is decreasing at a rate of 3 meters per minute and the sides of the square are increasing at a rate of 4 meters per minute.When the radius is 5... more
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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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