807 Answered Questions for the topic Calculus 1

Calculus 1 Derivatives

05/03/18

Given f(x) = x^2 if x<1 and ax^2+bx +c if x ≥ 1 find the values of a and b such that f` (1) exists?
find the values of derivatives, anyone who can help me to solve this problem welcome!!
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04/29/18

Calculus 1 work problem. Please help
A balloon rising from the ground at 140ft/min is tracked by a rangefinder at point a, located 500ft from the point of liftoff. Find the rate at which the distance between the range finder and the... more
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Calculus 1 Math Calculus

04/29/18

Calc Please Help
A balloon rising from the ground at 140ft/min is tracked by a rangefinder at point a, located 500ft from the point of liftoff. Find the rate at which the distance between the range finder and the... more
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Calculus 1

04/27/18

Use the definition of the derivative to find f'(x) if f(x)= 2x+3
Need help!
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Calculus 1

04/27/18

What is the instantaneous rate of change of sin(x) at the point x=0?
Having trouble solving
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Calculus 1

04/27/18

given that f(x)=x^2 calculate the limit h approaches 0 f(a+h)-f(a)/h at a=2
I cannot seem to figure out how to solve this problem
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Calculus 1

04/24/18

Find the particular antiderivative that satisfies the following conditions:
R′(x)=2−0.5x;R(0)=1
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04/18/18

Consider the function f(x) =x^2 / x^2 − 4. Find the vertical and horizontal asymptotes.
Hi, looking for help on the following problem that has multiple parts: please show the work   Consider the function f(x) =x^2/x^2 − 4. A-Find the vertical and horizontal asymptotes. B-Find the... more
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Calculus 1

04/18/18

Volume of an object
Can you find the volume of an object by finding the integral of a curve then multiplying by the circumference that the area is rotated around, for example integrate x^2 then multiply by 2pi if it... more
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Calculus 1 Calculus Calc

04/16/18

Help with calculus!
A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a... more
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Calculus 1 Math Calculus

04/14/18

tangent line Calc AB
At what point on the graph of y=(1/2)x^2 - (3/2) is the tangent line parallel to the line 4x-8y=5?
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Calculus 1

04/11/18

why do we set the derivative equal to zero when solving an optimization problem
Im just being curious about this.
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Calculus 1

04/08/18

Given the function f(x)=1/x
Given the function f(x)=1/x use 4 rectangles and evaluation on the left to aproximate the area ∫3 1/x  dx          2
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Calculus 1 Calculus

04/08/18

Velocity of stone after 4 sec
If a stone is thrown vertically upward from the surface of the moon with a velocity of 14 m/s, its height (in meters) after t seconds is h = 14t - 0.83t2. (Round the answers to two decimal... more
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Calculus 1

04/08/18

use the intermidiate value theorem toshow that there is a root of the equation
e^x=3x  In the interval [0,1]
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04/03/18

EASY - related rates question about rectangle area
A rectangle has one side of 8 cm. How fast is the area of the rectangle changing at the instant when the other side is 18 cm and increasing at 2 cm per minute?   This is how I set it... more
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Calculus 1

03/29/18

What is the acceleration and position function of the particle?
x(t) is the position of the particle at time t x'(t) is its velocity x''(t) is its acceleration   A particle moves on the x-axis at velocity v(t) = 3/(t^.5) t not equal to 0.  At time =1 its... more
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03/23/18

At the beginning of an experiment, a scientist has 172 grams of radioactive goo. After 270 minutes, her sample has decayed to 5.375 grams.
What is the half-life of the goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. G(t)=  How many grams of goo will remain after 74 minutes?
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03/22/18

Related Rates Calculus 1
A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11... more
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Calculus 1

03/20/18

A carpenter is building a rectangular shed with a fixed perimeter of 54 feet. What are the dimensions of the largest shed that can be built? What is the area?
This is a problem I have on my calc homework and I can't figure it out.
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Calculus 1

03/19/18

A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.1 ft/s.
(a) How rapidly is the area enclosed by the ripple increasing when the radius is 5 feet?     (b) How rapidly is the area enclosed by the ripple increasing at the end of 9.8 seconds?
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Calculus 1

03/10/18

The distance s (In feet) traveled is given by s = 40t-5t^2, where t is the time (in seconds). How far does it travel in coming to a stop?
Have been trying to solve this for hours with no luck, any help would be greatly appreciated. (The question must be solved using Calculus)
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03/06/18

Related Rate: Ladder Problem
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when... more
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Calculus 1

03/06/18

Find y'' by implicit differentiation. 7x^2 + y^2 = 6
Calculus I Question. Need to find y'' for the following expression.
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Calculus 1

02/28/18

limit as x approaches 3 from the left of (x+1) /(X^2-x-6)
evaluate analytically.
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