807 Answered Questions for the topic Calculus 1

12/02/15

How fast is the length of the shadow on the building decreasing?
A spotlight on the ground shines on a wall 40 feet away. A 6 foot tall man walks from the spotlight toward the building at a rate of 5 ft/sec. How fast is the length of his shadow on the building... more
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12/02/15

Find all points where the tangent line is horizontal or vertical
Find all the points where the tangent line to (y^3)-xy=-6 either horizontal or vertical
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12/02/15

Show that the rectangle of a perimeter is always a square.
Show that the rectangle of a minimum perimeter for a given area A is always a square.
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12/01/15

Find average value of the function!
Find average value of the function f(x)=3x^2 on the interval 1≤x≤3. 
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Calculus 1 Calculus

11/27/15

derivative help
d/dx(2/3 x^3+πx^2+7x+1)   Evaluate the derivative below.
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Calculus 1 Math Calculus

11/27/15

area question 2
Find the area of the region between two curves below. (Hint: the answer is not 0)   y=x^3 y=x
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11/24/15

Differential Question
A metal fabricating company produces a cubical box with 5-inch sides, made from sheet aluminum. The standard tolerance for work of this kind is +/- (1/35) inch. What is the resulting possible... more
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Calculus 1

11/22/15

Newtons method, sinx=1 find solution to 8 decimal places
Let sinx=1-x, use newtons method to find the solution accurate to 8 decimal places. Show initial guess, iteration equation, and all intermediate values prior to final answer?
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11/22/15

find domain, range, max, min, inc, dec, con cavity, abs max min
F(x)=2x4-3x3-10x2+20, find domain, range, maximum, minimum, increasing, decreasing, concavity, inflection points, absolute max/min?
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Calculus 1

11/20/15

Linear Approximation Help!
Let g(x) = Integal of -25 to x^2 f(t) dt Use the techniques of linear approximation to approximate g(4.8) given the following information about f:f is continuous on (-00,00)f is an odd... more
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Calculus 1 Math Integration

11/19/15

integrate by parts
(2x^2 + x) / (x^2 + x - 2) dx Integrate by parts
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Calculus 1

11/19/15

l'hospitals Rule, Reads as limit as x approaches infinity e to the x over 10 all over x cubed
lim             ex/10 x→infinity  -------                   x3 
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Calculus 1

11/19/15

Prove that 9=f(4)=21 using information given
Suppose that f(0)=1 and 2≤f'(x)≤5 for all x in interval (0,4). Show that 9≤f(4)≤21
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Calculus 1

11/19/15

draw a triangle in quadrant one that has a tangent line, derivate, that is tangent to y=4-x2
What is the smallest possible area of the triangle that is cut off by the first quadrant and whose hypotenuse is tangent to the parabola y=4-x2
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Calculus 1

11/19/15

Calculus 1
Two sides of a triangle have lengths 12m and 15m. The angle between them in increasing at a rate of 2degrees/min. How fast is the length of the third side increasing when the angle between the... more
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Calculus 1

11/19/15

Calculus question
A cyclist traveling at 40ft/s decelerates at a constant 4ft/s^2. How many feet does she travel before coming to a complete stop?
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Calculus 1

11/19/15

calculus question
A cyclist traveling at 40ft/s decelerates at a constant 4ft/s^2. How many feet does she travel before aiming to a complete stop?
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Calculus 1 Math Calculus Math Help

11/17/15

Find the relative extrema
Find the relative extrema for f(x)=2sin2 x-cos2x on the interval [0,2π]. Also find the x coordinates of the inflection points of f(x) on this interval. Give the intervals where the function is... more
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Calculus 1

11/16/15

Limit Question
How would I prove the: lim x->pi/2 on the equation (sec(x))/1+tan(x). Im stuck, thank you in advance.
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Calculus 1 Calculus

11/15/15

The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 80 mm?
The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 80 mm?
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11/10/15

equal slopes of tangent lines for f(x) and g(x)
  f(x) = 2e3x    g(x) = 6x3     When are the slopes of the tangent lines of these two functions equal ?   Please explain well. THANKS !
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Calculus 1

11/01/15

Find how fast its rising. Need help.
I need help with a calculus problem. You're at a local cemetery and you see a ghost rise up from a grave. The grave is 80 feet away from you with an angle of elevation of the rising ghost is... more
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Calculus 1 Related Rates

10/26/15

i need to solve this using related rates.
A boat is pulled in to a dock by a rope with one end attached to the front of the boat and the other end passing through a ring attached to the dock at a point 6 ft higher than the front of the... more
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Calculus 1 Physics Electronics

10/23/15

What is the current when time = 2 seconds?
The charge q on a certain capacitor in an amplifier circuit as a function of time t is given by:   just to be clear π= pie   q = e-0.1t (0.2 sin 120πt + 0.8 cos 120πt)   the current i in the... more
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Calculus 1

10/23/15

find dy/dx :
x^3 + 4x^2 y^2 = 3x^2 -2(x + y)   Maybe using Implicit differentiation? 
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