836 Answered Questions for the topic Calculus 1

Calculus 1

04/08/17

Find average velocity for s = 150t − 18t^2, where s is its position in meters, for time t=0 to t=5
using the average value theorem. 
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Calculus 1

04/05/17

A shape is bounded y = x+2, y = 2x, and the y-axis. What is the volume of this shape when it is revolved around y = -1?
I have graphed the boundaries and where the triangular shape will be revolved. The hole in the 3D-shape throws me for a curveball. I need to know how to set up the integral. Thanks.
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Calculus 1

04/03/17

Find the domain and range of the function f(x)=(2-x-(x^2))^1/2
Find the domain and range of the function f(x)=(2-x-(x^2))^1/2
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Calculus 1

03/31/17

d/dx x^2 * e^(x^5+1)^10
Calculus question. Can you please guide me through how to get the answer? I tried a dozen times but every time I mess up somewhere along the way. I know that I need to use the product rule and... more
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Calculus 1 Calculus Optimization

03/29/17

Optimization problem, Please Help!!
I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemispheres attached to each end. The side wall (the cylinder... more
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Calculus 1

03/28/17

A child’s toy is a flat disk shaped as in the diagram, a square with semicircular ends. The side of the square is measured tobe 8 cm with an error of 0.05 cm
A child’s toy is a flat disk shaped as in the diagram, a square with semi‐circular ends. The side of the square is measured to be 8 cm with an error of 0.05 cm. Use differentials to find the... more
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Calculus 1

03/28/17

4. At noon, ship A is 200km east of ship B and ship A is sailing north at 30km/h. Ten minutes later, ship B starts to sail south at 35 km/h.
4. At noon, ship A is 200km east of ship B and ship A is sailing north at 30km/h. Ten minutes later, ship B starts to sail south at 35 km/h.  a. What is the distance between the two ships at 3 pm?... more
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Calculus 1

03/28/17

d/dxcosx=-sinx
I need a proof using cosx=sinx/tanx.  I have   (sinx/tanx)'=quotient rule=(tanx(cosX)-sinx(sec^2x))/ tan^2x   = (sine-sinx(sec^2x))/ tan^2x   I need the rest from there
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Calculus 1

03/27/17

please help
given f(x)=x^2-8x-4 For less than or equal to 4. find the value of (f^-1)'(5)
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Calculus 1

03/27/17

please help
If f is a one-to-one function with f(1)=−5 and f⁡⁡′(1)=2, what is the value of (f^−1)′(−5).
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Calculus 1

03/27/17

find rate of change
The base of a right triangle is half its height. If the base of the triangle is increasing at a rate of 2 cm/sec, find the rate of change of the area of the triangle when the base is 26cm.
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Calculus 1

03/27/17

finding rate of change
The volume of a cylinder is increasing at a rate of 248in^3/min . Suppose that the height is increasing at 10 in/min. Find the rate of change of the radius at the instant when the volume is 1000... more
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Calculus 1 Calculus

03/23/17

Express the area A of the rectangle as a function of x
I am stuck on this ?calculus? question.  I don't know how to use the graphing calculator, so if you kindly answer this question can you please explain step by step, even with the graphing... more
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03/18/17

The cost of producing x units of a product is given by C(x)=600+90x−90ln(x),x≥1. Find the minimum average cost.
The cost of producing x units of a product is given byC(x)=600+90x−90ln(x),x≥1.Find the minimum average cost.
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03/18/17

Suppose that the demand of a certain item is x=100e^(−0.02p). Evaluate the elasticity at 40:
Suppose that the demand of a certain item is x=100e^(−0.02p) Evaluate the elasticity at 40:
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Calculus 1

03/18/17

Limits at Infinity
Theresa is investigating the graph of h(x) = x^2/sinx for her calculus II course. She keeps getting her answer wrong, and doesn’t understand why this would be true, since she’s basing her... more
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Calculus 1

03/18/17

Calculus : Maxima and Minima
Tim is working with the function g(x) = sqrt(175-x^2)a. Tony graphs g(x), and says that the domain (-oo, oo). Explain why that is not true.b. Tony also believes that, “the lines of the graph are... more
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03/15/17

If tanh(x) = 24/25 , what are the values of the other hyperbolic functions at x.
I really do not know how to get the sinh(x), cosh(x), csch(x), or the sech(x) any advice and answers would be appreciated 
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03/15/17

Calculus related rates
 A plane flying horizontally at an altitude of 4 mi and a speed of 465 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing... more
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03/06/17

Find the slope of the tangent to the curve y^2=((x^2)/(xy-28)) at (8,4)
the problem is stated as above. I'm just not sure where to start. 
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03/02/17

Extreme Value Theorem
Please explain The Extreme Value Theorem. Specifically explain how a jump discontinuity and an infinite discontinuity will prevent a maximum/minimum in their own unique way.Assuming the function is... more
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Calculus 1 Optimization

03/01/17

Optimization problem, PLEASE HELP!
I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemisphere attached to the end. The side wall (the cylinder... more
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Calculus 1

02/27/17

A metal barrel is to be manufactured out of two different types of metal, one type for the top and bottom and one for the curved side
A metal barrel is to be manufactured out of two different types of metal, one type for the topand bottom and one for the curved side. The metal for the curved side piece costs $2.50 persquare meter... more
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Calculus 1

02/26/17

A metal barrel is to be manufactured out of two different types of metal, one type for the top and bottom and one for the curved side.
A metal barrel is to be manufactured out of two different types of metal, one type for the topand bottom and one for the curved side. The metal for the curved side piece costs $2.50 persquare meter... more
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Calculus 1

02/26/17

How to find sin 1degree without using a calculator
Kayla claims that she can find an approximate value for sin 1o without using a machine to do anycomputations. Explain or show how she can do this.
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