836 Answered Questions for the topic Calculus 1

Calculus 1

11/08/17

A street light is at the top of a 17 foot tall pole.
A street light is at the top of a 17 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving (away from... more
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Calculus 1

11/07/17

A hot air balloon rising vertically problem
A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/3... more
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Calculus 1

11/05/17

Optimization calculus 1
A cylinder is inscribed in a right circular cone of height \displaystyle 11 inches and radius (at the base) equal to \displaystyle 6 inches. What are the dimensions of such a cylinder that has... more
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Calculus 1

11/05/17

A cylinder is inscribed in a right circular cone of height \displaystyle 11 inches and radius (at the base) equal to \displaystyle 6 inches. What are the dimens
answer asap pls!
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Calculus 1

11/05/17

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 2-x^2. What are the dimensions of such a rectangle with the great
help!!! i need this answered asap 
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Calculus 1

11/05/17

Find the point on the line -6 x + 5 y - 6 =0 which is closest to the point ( 4, 5 ).
 please help answer asap
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Calculus 1

11/04/17

find the local max and min values of f(x)=xsinx+cosx
find the local max and min values of f(x)=xsinx+cosx for -pi≤x≤pi   I am so stuck at how to figuring out the sign, which is important. I did take the derivative xcosx=0  then x=0 and... more
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Expert Answers •2

11/02/17

Consider the curve C given by the equation
Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x and y... more
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Calculus 1

11/01/17

Sketch the graph y=xradical4-x^2 Not allowed to use graphing calculator
y=xradical4-x^2     Notes: 4-x^2 is all under radical     Not allowed to use graphing calculator. I am supposed to figure out how the graph is going to be by the "domain, intercepts, asymptotes,... more
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Calculus 1

11/01/17

sketch the graph y=x/(x-1)^2
ketch the graph y=x/(x-1)^2   Not allowed to use graphing calculator. I am supposed to figure out how the graph is going to be by the "domain, intercepts, asymptotes, intervals of... more
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Calculus 1 Calculus

10/30/17

What is dy/dx when y = 2/(x^4) + 6e^x - 5sin(x)
 What is dy/dx when y = 2/(x^4) + 6e^x - 5sin(x)
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Calculus 1

10/28/17

calculus problem
The weight of a great white shark, W pounds, is given approximately by W=0.6x^3, where x is the length of the shark in feet. Suppose that a baby shark is growing at the rate of dx/dt= 0.4... more
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Calculus 1

10/28/17

calculus problem
The period T of oscillation (in seconds) of a simple pendulum of length L (in feet) is given by T=2pi sqrt L/32. What is the rate of change of T with respect to L when L= 4 ft?
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Calculus 1

10/24/17

Given xradicalx+1 find the intervals on which f is increasing or decreasing, the local maximum and minimum values, the intervals of concavity and the inflect
Given  xradicalx+1   find the intervals on which f is increasing or decreasing, the localmaximum and minimum values, the intervals of concavity and the inflection points. Sketch the... more
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Calculus 1

10/24/17

find the open intervals on which the function f(x)=cos^2(2x) is increasing in the interval (0,2pi)
find the open intervals on which the function f(x)=cos^2(2x) is increasing in the interval (0,2pi)
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Calculus 1

10/23/17

F(x)= X^4 - 8 using analytical methods
To find those values of x which the given function is increasing and those values of x for which it is decreasing 
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Calculus 1 Economics

10/21/17

Maximize profits
Suppose the Sunglasses Hut Company's profit is given by the equation P=-0.02q2+3q-32, where P is the total profit, in thousands of dollars, and q is the total number of sunglasses sold, in... more
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Calculus 1

10/21/17

linear approximation
Use linear approximation, i.e. the tangent line, to approximate 2.73 as follow: Let f(x)=x3 . The equation of the tangent line to f(x) at x=3 can be written in the form y=mx+b   where m is... more
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Calculus 1

10/21/17

Volume of a box
A piece of cardboard measuring 8 inches by 12 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides.   Find a formula for the... more
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Calculus 1 Physics Derivatives

10/18/17

Suppose that a particle moves according to the law of motion s = t^2 - 11 t + 33. Use interval notation to indicate when the particle is moving in the positive
Calculus I, Derivative t>=0
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Calculus 1

10/17/17

This is a calculus chain rule question
Air is being pumped into a spherical weather balloon. At any time t, the volume of the balloon is V(t) and its radius is r(t).    a.) What do the derivatives dV/dr and dV/dt represent?   b.)... more
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Calculus 1

10/15/17

Give the meaning of the equations
If f(p)=q means that, at a price of p dollars, a sandwich shop can sell q thousands sandwiches per week, then give the meaning of the equations f(4.5) = 1.2 and f'(4.5) = -0.1
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Calculus 1

10/13/17

How to determine if there is a limit or not in a function?
For example, when a limit approaches 0: x^2-5x+7/ x^3
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Calculus 1

10/12/17

find dy/dx sin^2 y=y+2
this is an implicit differiation problem 
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Calculus 1

10/08/17

An isosceles triangle has equal sides of constant length 10 feet. The vertex angle (the angle opposite the third side, (the base) is increasing at a rate of 12
An isosceles triangle has equal sides of constant length 10 feet. The vertex angle (the angle opposite the third side, (the base) is increasing at a rate of 12radian per minute.Find the rate at... more
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