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1st Year Mathematics Chapter 12 Test

1st Year · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. e^-1
2. e^-1/2
3. e²
4. e³
......:
1. 40
2. 60
3. 80
4. 120
Limit and continuity of a ...... function is a fundamental concept of calculus:
1. Perciwise function
2. Exponential
3. Logarithmic
4. Thransendental
A function f(x) is not continous at x=c then it is called ...... at x=c:
1. Discontinuous
2. Defined
3. Stationary
4. None of these
4. None of these
:
1. Degree
2. Radian
3. Minutes
4. Second
The function is discontinuous at ......:
1. x=-1
2. x=1
3. x=2
4. x=0
The function is not continuous at ......:
1. x=-3
2. x=0
3. x=1
4. x=-1
2. e⁵
3. e^-5
4. e^1/5

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

The value of an investment grows according to the formula for continuous compounding A(t) = P_oe^rt, where P_o is the initial principal, r is the annual interest rate, and t is the time rate in years. What happens to the value of the investment as .
The apparent brightness B(d) of a star decreases as the distance from Earth increases following the inverse square law , where L is the star's luminosity. Find the limit of the brightness as .
A company weekly sales (in thousands) follow the function . What is the limit of S(t) as and what does it represent?
Evaluate:
Express the following limit in terms of e.
Evaluate the following limit by using theorems of limits:
Evaluate the following limit by using theorems of limits:
A stock price grows according to the function P(t)= 50e^0.05t. Calculate the price after 10 years.