dede

The derivative of ln cos 𝑥 is:

• sec x

• • - tan x

• • - sec x

• tan x

• ln (x)

• 2e^(lnx)

• 2x

• (2(ln x)) / x

• undefined

• 0

• infinity

• 1/7

• 10

• 12

• 16

• 8

infinity - infinity = ?

• 0

• infinity

• indeterminate

• 1

Divide the number 60 into two parts so

that the product P of one part and the

square of the other is a maximum.

• x = 10 & y = 50

• x = 20 & y = 40

• x = 30 & y = 30

• x = 40 & y = 20

The cost of erecting an office building is P50,000 for the first storey, P52 500 for

the second, P55,000 for the third and so on. Other expenses (lot, plans, building

permits, etc.) are P350,000. The net annual income is P5,000 per storey. How many stories will give the greatest rate of interest on the investment?

• 16 stories

• 17 stories

• 18 stories

• 19 stories

Find the slope of the curve defined by

the equation 𝑥²𝑦 − 8 = 0 at the point (2,2)

• 2

• -1

• • - 1/2

• -2

If the distance y from the origin at time t is given by y = 16t² + 8000t +50,000, 2 find the initial velocity when t = 0

• 8,000

• 58,000

• 65,000

• 50,000

Evaluate: lim 𝑛→1 (𝑥² + 3𝑥 − 4)

• 24

• 26

• 28

• 30