12 Answered Questions for the topic Calculus I

07/02/21

A police car is located 70 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 160 feet up the road from the location of the police car.
A police car is located 70 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 160 feet up the road from the location of the police... more
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07/02/21

A circle is inside a square. The radius of the circle is increasing at a rate of 2 meters per hour and the sides of the square are decreasing at a rate of 4 meters per hour.
A circle is inside a square. The radius of the circle is increasing at a rate of 2 meters per hour and the sides of the square are decreasing at a rate of 4 meters per hour. When the radius is 5... more
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07/02/21

An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second.

An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is... more
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03/20/21

What is the limit as x approaches infinity of sqrt(4x^2 - 3x - 2x) ?
What is the limit as x approaches infinity of sqrt(4x^2 - 3x - 2x) ?
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03/20/21

What is the limit as x approaches infinity of (1 + x + 2x^5)/(x^5 - 5x^2 +1) ?
What is the limit as x approaches infinity of (1 + x + 2x^5)/(x^5 - 5x^2 +1) ?
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03/20/21

By using the correct theorems show that 3 x - 4 = cos has at least one real root and at most one real root
Consider the equation 3 x − 4 = cosx. Please show (by referring to the correct Theorems and verifying that their assumptions are satsified!) that the equation has(a) at least one real root.(b) at... more
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03/20/21

A rectangular storage container with an open top is to have a volume of 10 m^3 . The length of its base is three times the width. Material for the base costs $10 per square meter.

A rectangular storage container with an open top is to have a volume of 10 m^3. The length of its base is three times the width. Material for the base costs $10 per square meter. Material for the... more
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03/20/21

Find the function f whose 2nd derivative is f ' ' (x) = x^3 + 2x^2 + 4 and which has the boundary values f (0) = 1, and f (1) = 3
Find the function f whose 2nd derivative is f ' ' (x) = x^3 + 2x^2 + 4 and which has the boundary values f (0) = 1, and f (1) = 3
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03/20/21

Use Newton’s Method to approximate the positive zero of 2 sin x = x − 2 correctly to six decimal places
Use Newton’s Method to approximate the positive zero of 2sinx = x − 2 correctly to six decimal places
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03/20/21

Why does (x+ 1)/(1 +x^2) for x ∈ [0,4] have both an absolute min and max on [0,2] and determine the absolute extrema on [0,2].

Consider the function f (x) := (x+ 1)/(1 +x^2) for x ∈ [0,4].(a)Why does f possess both an absolute maximum and an absolute minimum on the interval[0,2]?(b)Please determine the absolute extrema of... more
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03/31/20

Calculus word problem
An object is moving along a line, with time in seconds, and distance in feet. The acceleration of the object at timet is a(t) = -32 feet per second per second. The velocityof the object at t = 0... more
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04/25/18

The perimeter of an isosceles triangle is 16cm. What are the dimesions of the sides and height for the maximum area
Related Rates Problem Solving
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