807 Answered Questions for the topic Calculus 1

Calculus 1

12/10/16

Calculus word problem question
A particle moves along the x-axis with an acceleration according to the formula a(t)=cos(t)-sin(2t), where t is measured in seconds and displacement is measured in meters. If at time t=0 the... more
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Calculus 1

12/10/16

A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.
A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.
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Calculus 1

12/07/16

Find f(1) if g(x) = the definite integral from 0 to x^2 of f(t) dt = x ln(x)
Here is a link to the picture of the problem. http://imgur.com/0ZiyAzP
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Calculus 1 Calculus Proofs Proof

12/06/16

Prove (x^5)+(e^x)=0 has at most 1 real root
I know to like assume that (x^5)+(e^x)=0 has two distinct roots and then find the contradiction. But am stuck.  
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Calculus 1 Calculus

12/04/16

Find the exact value of the area between the graphs of y = sinh x, y = cosh x, for −7 ≤ x ≤ 7.
Find the exact value of the area between the graphs of y = sinh x, y = cosh x, for −7 ≤ x ≤ 7.
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Calculus 1 Calculus

12/04/16

If f(x) is even and ∫(from -2 to 2) (f(x) − 8) dx = 2, find ∫(from 0 to 2) f(x) dx
If f(x) is even and ∫(from -2 to 2) (f(x) − 8) dx = 2, find ∫(from 0 to 2) f(x) dx
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Calculus 1

12/04/16

A company estimates that the marginal cost (in dollars per item) of producing x items is 1.71 − 0.002x (Calculus)
A company estimates that the marginal cost (in dollars per item) of producing x items is 1.71 − 0.002x. If the cost of producing one item is $572, find the cost of producing 100 items. (Round your... more
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Calculus 1 Word Problem

12/04/16

A car is traveling at 104 km/h when the driver seesaccident 50 m ahead and brakes. (Calculus)
This is a calculus problem involving derivatives.    A car is traveling at 104 km/h when the driver sees an accident 50 m ahead and slams on the brakes. What minimum constant deceleration is... more
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Calculus 1 Calculus

12/04/16

The average value of y = v(x) equals 2 for 1 ≤ x ≤ 5, and equals 11 for 5 ≤ x ≤ 14.
The average value of y = v(x) equals 2 for 1 ≤ x ≤ 5, and equals 11 for 5 ≤ x ≤ 14. What is the average value of v(x) for 1 ≤ x ≤ 14?
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Calculus 1 Calculus

12/04/16

Find the exact average value of the function over the given interval.
Find the exact average value of the function over the given interval.   f(x) = 8x + 12 over [1, 7]   average value=
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Calculus 1

12/03/16

SOLVE THE QUESTION
XZYW=1           PROVE THAT :d2Y/dX2=Z(Z+W)/W2X2
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Calculus 1 Calculus

12/02/16

What's the largest volume/dimensions of given triangular prism?
What are the dimensions of the biggest possible volume (absolute maximum) of a triangular prism given the length and girth must equal 108 inches? Thanks! I struggle with optimization to such a high... more
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Calculus 1 Calculus

12/01/16

What box would be best to ship the most packing peanuts?
So I struggle with optimization and we were given a problem and I have no idea on how to do it and I could really use some help please.So a person wants to ship a lot of packing peanuts but they... more
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Calculus 1

12/01/16

Calculus question help
The Betty Moore Company requires that its corned beef hash containers have a capacity of 40 in^3, be right circular cylinders, and be made of a tin alloy. Find the radius and height of the least... more
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Calculus 1

11/30/16

Find the exact positive value of c if the area between the graph of y = x2 − c2 and the x axis is 80.
Find the exact positive value of c if the area between the graph of y = x2 − c2 and the x axis is 80.   c=
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11/28/16

Cubic functions
Find a cubic function of f(x)= ax^3 -bx^2 +cx -d that has a local maximum value of 112 at 1 and a local minimum value of -1184 at 7
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Calculus 1

11/21/16

Acceleration, velocity, distance problem
Two balls are thrown upward from the edge of the cliff 432 feet above the ground. The first is thrown with a speed of 48 ft/s and the other is thrown a second later with a speed of 24 ft/s. Do... more
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Calculus 1

11/19/16

Find the points at which the graph of the equation has a vertical or horizontal tangent line.
question on implicit diffrenciation
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11/13/16

A cubic function is a polynomial of degree 3; that is it has the form f(x)=ax^3+bx^2+cx+d, where a does not equal to zero.
(a) Show that a cubic function can have two, one, or no critical number(s). Give examples and sketches to illustrate the three possibilities.(b) How many local extreme values can a cubic function... more
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Calculus 1 Function

11/13/16

Suppose that f is continuous in [a,b] and f'(x) exist and never be zero in (a,b). If f(a) and f(b) have opposite signs,
show that the equation f(x)=0 has one and only one solution in (a,b)
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11/13/16

Show all work to (3/5)^-x=(9/25)^(1-5x)
need help working this out
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11/04/16

Explain why the graph of the rational function f(x)= (-1)/(X^2+4) has no vertical asymptotes
I believe it is because there are no x factors in the numerator but unsure.
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11/04/16

Initially 1600 cells. After 2 hours increased to 1700 cells. Assume it is an exponential function of time. Instantaneous growth rate be 200 cells per hour?
Don't really know how to relate the terms into an equation. 
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Calculus 1

10/31/16

Calculus 1 Question-Find the Dimensions
The sum of the perimeters of an equilateral triangle and a square is 20. Find the dimensions of the triangle and the square that produce a minimum total area.
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Calculus 1 Percenterror

10/31/16

CALCULUS QUESTION!
The measurement of the circumference of a circle is found to be 70 centimeters, with a possible error of 0.9 centimeter. (a) Approximate the percent error in computing the area of the circle.... more
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