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Find the area of the region under the graph of the function f on the interval [1, 4], using the Fundamental Theorem of Calculus. Then verify your result using geometry.

f(x) = −1/4x+1

A satellite is in a 1.5-hour-period circular orbit around Earth. If the satellite moves to a new orbit with radius twice that of the original, the new period is____?

A satellite is in a circular orbit around an unknown planet. The satellite has a speed of 1.60 104 m/s, and the radius of the orbit is 5.10 106 m. A second satellite also has a circular orbit around this same planet. The orbit of this second satellite has a radius of 8.75 106 m. What is the orbital speed of the second satellite?

A satellite is revolving round the earth in ta circular orbit with critical velocity of 7 km/s. a) Find the radius of the orbit of the satellite and b) period of its resolution. (G = 6.673*10^-11Nm2/kg2, M =5.98*10^24 kg)

Find the area of the region under the graph of the functionf on the interval [4, 10], using the Fundamental Theoremof Calculus. Then verify your result using geometry.

f(x) = 2

Find the area of the region under the graph of the functionf on the interval [-1, 3].

f(x) = 6x + 9

Find the area of the region under the graph of the functionf on the interval [0, 5].

f(x) = 9e^x

Welcome to this summary on the Coefficient of Performance (COP)!

The Coefficient of Performance (COP) is a metric used to measure the efficiency of a refrigeration system or heat pump. It is defined as the ratio of useful heat transfer (output) to the work required (input) to achieve that heat transfer.

In other words, COP measures how much heat a system can produce per unit of work done. A higher COP indicates a more efficient system.

COP is an important consideration when evaluating the energy efficiency of refrigeration systems, air conditioners, and heat pumps. By using a system with a higher COP, it is possible to reduce energy consumption and lower operating costs.

It's worth noting that COP is a function of temperature and can vary depending on the specific operating conditions of a system. When comparing the efficiency of different systems, it's important to consider the COP at the specific temperature range relevant to the intended application.

Understanding and optimizing COP is crucial for improving the energy efficiency of refrigeration and heat pump systems, and can lead to significant energy savings and cost reductions over time.

a. Find the area of the region under the graph of the function f on the interval [1, 9]. f(x)=(6/x)

b. Find the area of the region under the graph of the function f on the interval

[1, 4]. f(x)=7(sqrt(x))

c. Find the area of the region under the graph of the function f on the interval [1, 5].

f(x) = 4x³

^d. Find the area of the region under the graph of the function f on the interval

[1, 25]. f(x)= (6)/(sqrt(x))

e. Find the area of the region under the graph of the function f on the interval [0, 5].

f(x) = 10e^x

1. Margaret is required to use her own automobile for company business. For this, Measureup pays her an annual allowance of $4,000. She purchased a new automobile for $67,400 plus HST (13%), and received $18,000 as a trade on her old car. At the end of the previous year, the old car had an undepreciated capital cost balance of $16,000 (class 10.1). Of the 20,000 km driven in 2023, 13,000 km were for employment purposes. Margaret incurred automobile operating costs of $5,700.

write a letter to the panel of judges asking for a new trail for Sarah good. In the letter, provide at least three reasons for the judges to grant Ms. Good a new trail and include specific quotes from the transcript below. write 200 words.