836 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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Calculus 1

03/24/18

Two people start from the same point. One walks east at 9 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing aft
Two people start from the same point. One walks east at 9 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes? (Round your answer to... 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

03/22/18

Find the derivative of the function. f'(x)= arccsc 8x
Find the derivative of the function. f'(x)= arccsc 8x
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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

Air is being pumped into a spherical balloon so that its volume increases at a rate of 50 cm^3 /s .
How fast is the surface area of the balloon increasing when its radius is 14cm? Recall that a ball of radius r has volume V=(4/3)pi r3 and surface area S=4pi r2
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Calculus 1

03/19/18

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. form right circular cone whose base diameter and height are always the same
How fast is the height of the pile increasing when the pile is 20 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V= (1/3)pi r2 h
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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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