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A: =limn→∞ ann=limn→∞ 3n2n+13n1n=limn→∞ 3n2n+13=limn→∞ 32+1n3=limn→∞ 32+03limn→∞ |an|n=278
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Q: show me the examples of using the keyword typedef to define a name as a synonym for a data type?
A: answer is in next step
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A: I am attaching image so that you understand each and every step.
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- Explain the difference between the average rate of change and the instantaneousrate of change. Outline the procedure for calculating instantaneous rate of change. Outline the procedure for calculating average rate of change. Outline the basic rules for evaluation of limits.The sides of an equilateral triangle extend at a rate of two cm per second. I drew a half-circle inside this triangle that touches two of its sides and began to expand with it. Find the rate of change of the area between the triangle and the half-circle when the length of the side of the triangle is 16 cmTo evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions were analyzed. The pyramid to be used is a regular pyramid with a square base. In the study, it was found that the rate of increase of the edge of the base is 70 cm/min and the decrease of the height or altitude is 40 cm/min. Determine the rate of change of the volume when the height is 250 cm and the base edge is 115 cm.
- A container which has a shape of cone is full of sand. The container stands point down andhas a fixed top radius 5 cm and height 10 cm. Sand is pouring out of the container at a rate of 10 m3/min. When the depth of the sand is 8 cm., at what rate is the depth changing? Is it increasing ordecreasing?A container which has a shape of cone is full of sand. The container stands point down and has a xed top radius 5 cm and height 10 cm. Sand is pouring out of the container at a rate of 10 m3/min. When the depth of the sand is 8 cm., at what rate is the depth changing? Is it increasing or decreasing?Find the average rate of change of the function overthe given interval. Compare this average rate ofchange with the instantaneous rates of change atthe endpoints of the interval. Using only Constant, power, constant multiple, sum & difference, & rate of change rules (sec. 2.2 rules only) please. No chain rule. Please explain work, thank you!
- Discuss the relationship between the secant line, slope of the tangent line, derivative of a function using the limit process, the average rate of change, and instantaneous rate of change. Include in your response examples that will make your explanation clear and succinct.An inverted cone has a height of 11 inches and an initial radius of 18 inches. The volume of the inverted cone is decreasing at a rate of 541 cubic inches per second, with the height being held constant. What is the rate of change of the radius, in inches per second, when the radius is 5 inches? Submit an exact answer. Do not forget to include a negative sign if the radius is decreasing. Remember that the volume of a cone is V=13πr2h.Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.
- An airplane is flying horizontally away from an observer at a rate of 300 meters per second. The observer is standing on the ground where the airplane is at a vertical distance of 3,000 meters above him. Find the rate of change of the actual distance between the observer and the airplane whenever the airplane reaches a horizontal distance of 4000 meters away from the observerA 12 m ladder is placed against a large building. The base of the ladder is resting on some slick ice, and it slips at the rate of 0.8 meter per minute. Find the rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 10 meters from the base of the building please explainLimit value?
