807 Answered Questions for the topic Calculus 1

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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Calculus 1

02/26/17

What way should I solve this?
A running coach is watching his star sprinter at a linear speed of 8 meters per second around a circular track. The coach is OUTSIDE the track, a total of 65 meters from the center. How fast is the... more
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Calculus 1

02/08/17

What interval contains x=0 where f(x)=16x-tan(x) is increasing
Find the interval containing x=0 where f(x)=16x-tan(x) is increasing.
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Calculus 1

02/06/17

Find a value for a so that the following function is continuous at x = 0: f(x) ={ (x^2 + x sin(x))/x^2 for x /= 0, a for x = 0}
Not sure what to do with this problem. Its a piecewise function.     Find a value for a so that the following function is continuous at x = 0: f(x) ={ (x^2 + x sin(x))/x^2 for x /= 0, a for x = 0}
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Calculus 1

02/04/17

Lim as x approaches infinity from the left side of 10*sin(x^4+1)/x^4+1
I don't understand how this solves to be 0 ?
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01/27/17

A truck carrying Green Beans is traveling from Georgia to Pennsylvania. Along the way it is losing weight, based on evaporation - Green Beans lose water
A truck carrying Green Beans is traveling from Georgia to Pennsylvania. Along the way it is losing weight, based on evaporation - Green Beans lose water weight as they sit on the truck in the... more
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Calculus 1 Calculus

01/26/17

Graph of derivative of temperature as a function of time
A pie is removed from a hot oven and left to cool to room temperature. Sketch a graph of the derivative of the pie’s temperature as a function of time. (You do not need to sketch a graph of the... more
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Calculus 1

01/21/17

flip a coin 13 times
if you flip coin 13 times what is the possibility of getting exactly 9 tails 
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Calculus 1

01/09/17

use the given information to find the exact values of the remaining trigonometric functions of theta. csc(theta)=5 with pi/2 less than theta less than pi
i need answers for cos(theta), tan(theta), sec(theta) and cot(theta)  
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Calculus 1

12/27/16

use Mean Value Theorem Ιcosx-1Ι<ΙxΙ for all x
ΙCOSX-1Ι≤ΙXΙ using The Mean Value Theorem
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Calculus 1

12/14/16

Find the value V of the Riemann sum . I have other questions like this I need a full example to help with the others.
Find the value V of the Riemann sum V = n ∑ k = 1 f ( c k ) Δ x k for the function x^2+3 using the partition{1,2,4,7}.(the n is above the sum the k is bellow the sum)
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Calculus 1

12/12/16

Optimization..minimizing cost of container
A rectangular storage container with an open top is said to have a volume of 10m^2. The length of the base is twice the width of the base . Material for the base costs $10 per square metre.... more
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Calculus 1

12/11/16

Suppose that the profit (in dollars) from the sale of Kisses and Kreams is given by P(x, y) = 20x + 6.9y − 0.005x2 − 0.025y
Suppose that the profit (in dollars) from the sale of Kisses and Kreams is given byP(x, y) = 20x + 6.9y − 0.005x2 − 0.025y2where x is the number of pounds of Kisses and y is the number of pounds of... more
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Calculus 1 Cal

12/11/16

Differential equations
Find y=f(x) that satisfies y-y'=0
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Calculus 1

12/10/16

CALCULUS QUESTION
A ball is thrown upwards with an initial velocity of 48 feet/sec from the top of a 160 foot tall building. Assuming that the only force affecting the ball during travel is from gravity, which... more
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Calculus 1

12/10/16

Calculus Problem
A ball is thrown upward from the top of an 80 feet high building with a speed of 64 feet per second. Taking the gravitational acceleration to be 32 feet per second square, write the equation of... more
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Calculus 1

12/10/16

Calculus problem
Two cars, initially are 130 miles apart, start off at the same time. Car A is to the west of Car B and starts traveling east (towards Car B) at 25 miles per hour while at the same time Car B starts... more
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Calculus 1

12/10/16

Calculus question
Find an equation of the tangent line to the curve 3xy2-2(x+y)3=4 at the point (2, -1)
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