844 Answered Questions for the topic Calculus 1

Calculus 1

06/01/16

Give an example of a function that features three discontinuities, one of each type.
Give an example of a function that features three discontinuities, one of each type.
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Calculus 1 Derivatives

05/24/16

Find an equation for the tangent line to the graph at the specified value of x
1 - y = xcos3x; x = π   2 - y = sec 3 (π/2 - x); x = -π/2   3 - y = Tan(4x 2  ); x = √π     Hey guys please help me with these ones, i am studying for finals, if possible try to solve them... more
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Calculus 1

05/22/16

Help please
1. Find the area between the x-axis and the curve f(x) = 3x2 from x = 1 to x = 3. 2. Assume a firm's marginal cost in dollars is given by MC below, where x is the number of units produced. You can... more
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Calculus 1

05/22/16

Homework help?!
1. If you were to grow plants in a rectangular-shaped garden with a perimeter of 10 ft, what is the maximum area you can achieve? 2. Assume that the function H(t) gives the height in ft of a stone... more
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Calculus 1 Optimization

05/13/16

Calculus I Optimization
The top and bottom margins of a poster are a  cm and the side margins are each b  cm. If the area of printed material on the poster is fixed at c  square centimeters, find the dimensions of the... more
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05/12/16

Word problem
You wish to build a rectangular pen facing north-south and east-west. there will be one north-south interior fence from the southern border to the northern border. the north-south fence costs $3... more
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Calculus 1

05/11/16

how can you write an exponential decay equation for 301Xr if you are only given the information that it has a half life of 6 seconds?
This is a review question for my exam and I am confused because we have to find K as well but aren't give the initial or final values.
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Calculus 1

05/11/16

how to find the second derivative of f(x)=e^((x^2)+1))
I have no problem finding the first derivative but I have no idea how to find the second derivative and the x values that would make the second derivative equal to zero.
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Calculus 1

05/11/16

define what it means to say that lim x->0 g(x)=k?
 define what it means to say that lim x->0 g(x)=k?
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Calculus 1

05/09/16

Walk through please.
1.Find and classify (categorize the point as maximum, minimum or inflection point) of the function below.  f(x)= -x^3-3x^2+1 2.Find the critical points belowf(x)=x^3+3x^2+1 3. Find and classify... more
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Calculus 1

05/09/16

Walk me through this please?!
Given that a company's net sales in billion is given by S(t) where t is the number of years since 2000. What were the 1) net sales and 2) rate of change in sales in year... more
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Calculus 1 Optimization

05/09/16

Calculus I Optimization
A rectangular box with square base and a fixed volume V  is to be made from two types of material. The material for the top and bottom costs t  cents per square inch and the material for the sides... more
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Calculus 1 Optimization

05/09/16

Calculus I Optimization
 A wire of length 15 is cut into two pieces which are then bent into the shape of a circle of radius r  and a square of side s  . Then the total area enclosed by the circle and square is the... more
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Calculus 1 Antiderivative

05/09/16

Calculus 1 help?
Consider the function f(x)  whose second derivative is f′′(x)=8x+5sin(x). If f(0)=2  and f′(0)=2  , what is f(x) ?
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Calculus 1 Optimization

05/06/16

Calculus 1 Optimization
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window... more
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Calculus 1 Optimization

05/06/16

Calculus I Optimization
A rectangular storage container with an open top is to have a volume of a  cubic meters. The length of its base is twice the width. Material for the base costs a  dollars per square meter. Material... more
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Calculus 1 Optimization

05/06/16

Calculus I Optimization
A cylinder is inscribed in a right circular cone of height h  and radius (at the base) equal to r  . What are the dimensions of such a cylinder which has maximum volume?
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Calculus 1

05/05/16

word problems
demand for an overseas tour is q = 250 reservations per month when the tour is priced at p = $2000, and q = 50 reservations per month when it is priced at p = $4000.a) Find a linear model for... more
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Calculus 1

05/04/16

word problems
a salesperson receives a monthly salary $2000 plus commission of 7% of sales. she is offered a new job at $2300 per month plus commission of 5% os sales.a) write a linear equation for her current... more
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Calculus 1 Calculus Calc

05/03/16

find the equation of the line through the point (3,5) that cuts off the least area from the first quadrant.
find the equation of the line through the point (3,5) that cuts off the least area from the first quadrant.
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Calculus 1

04/26/16

calculus question
water flows from bottom of a storage tank at a rate of r(t)=200-4t liters per minute,where t is (greater than and equal to 0 and less than and equal to 50) find the amount of water that flows from... more
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Calculus 1

04/26/16

calculus question
set up the integrals that gives the volume of the solid that has as its base the semicircle y=sqrt(4-x^2), where each cross section perpendicular to the x-axis is an equilateral triangle with its... more
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Calculus 1

04/26/16

calculus question
a freight elevator is loaded with freight at ground level and weighs 2,820 pounds.The elevator is to be pulled up by a 40 foot cable that weighs 15 pounds per linear foot using a pulley... more
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Calculus 1

04/26/16

calculus question
set up integrals that can be used to find the volume of solid generated if the region bounded by y=9-x^2 and the line y=5 is rotated about the axis indicated in parts (a) the x-axis and part (b)... more
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04/21/16

Could someone help me with this calculus rate problem?
Water is leaking out of an inverted conical tank at a rate of 10100.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 9.0 m and the the... more
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