Calculus Answers

Unit 1 Review -

(2.) Find f(g(x)) and g(f(x)) given f(x)= 3x+7 and g(x)= 1/3x - 5

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Unit 1 Test Review

1. Find inverse of f(x) = 3x + 4 / 5

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Some learners in the intemediate phase struggle to make sense of the relations between numbers in arithmetic pattern. Give 4 crucial steps in the process of helping learners

Verify the green,s theorem in the plane for "\\oint" (2xy-x²)dx+(x+y²)dy where c is the closed curve of the region bounded by y=x² and y²=x .

At the start of year 2015, a certain city has a population of 15,000. If the population increases by 2% every year, in how many years will the population be more than triple the original number?

Maria started training for a 21-km run a month prior to a marathon. In order to build stamina, she decided to gradually increase the distance she runs each training day. On the first day, Maria ran a total of 3km. On the second day and third days, she ran 5 and 7 km respectively. For the succeeding five training days, she ran 9, 11, 13, 15, and 17 km. Determine the distance she will have to run the first day of the 5th week of her training.”

The demand equation for a product is "Q=10(100-p)^ 1\/2"

Calculate the consumers’ surplus under equilibrium which occurs at a market price of K84. 

Find the area of the region bounded by the curves

y=x^2-4x+4 and y=10-x^2

from x=10 and x=4

Use first principle method/definition method to obtain the derivative f(x) = 2 – x

Differentiate the following with respect to x.

b) f(x) = ln 2x . sin3 (x2 – 3)