Can the Intermediate Value Theorem be applied to show that there is a root of the equation  in the given interval ]1,2]? If yes, apply it.

Express the function g: R⁺ R⁺, defined by

as a composition of three functions.

Let f (x) =

i) Check whether f is discontinuous. If yes, find where?

ii) Give a rough sketch of the graph of f.

Find the nature of the roots of the polynomial

Using the ε −δ definition, show that 

Uniprocessor systems versus Multiprocessor systems

Parallel processing at the job level, the task level, the interinstruction level, and the intrainstruction level

Batch processing, Multiprogramming, Time sharing, and multiprocessing

Data processing, Information processing, Knowledge processing, and Intelligence processing

Distinguish among Computer Terminologies in each of the following groups:

Develop a Parallel Algorithm for addition of Two Sparse Matrices. Make necessary assumptions.

Obtain the 6^th roots of (-7)and represent them in an Argand diagram.

Obtain the 6^th roots of (-7)and represent them in an Argand diagram.

Which of the following statements are true, and which are false? Give reasons for your answers in the form of a short proof or a counterexample.

i) There are at least two ways of describing the set{7,8.......}

ii) Any function with domain R×R is a binary operation.

iii) The graph of every function from [0,1]to R is infinite.

iv) The function :f R → R , defined by f (x) = x , is an odd function.

v) The domain of the function f g ,where f (x) = , is ]]

Use the Newton-Raphson method to find a root of the equation See Answer →

If a bank receives on an average six bad cheques per day, then what is the probability that it will receive four bad cheques on any given day

If 0∙333 is the approximate value of 1\3find absolute, relative and percentage error. Explain how these errors measure accuracy.

Find the value of ‘e’,correct to 3 decimal places. e=1

Complete the following telephonic conversation with suitable responses: 

a) Good morning! May I know the date of your next visit to________________? I shall be _______________________

b) Hello Miss.Mhabeni, is the Super market _______________________? Yes, the super market is________________________________

c). How far is Mekokla village from_________________? Well, it is about ________________________________

Fill in the blanks using correct words given in the blanks.

The importance of communication skills…………………… (cannot/ can) be underestimated.

It………….. (have/has) been known, that long before when language………….. (is/was) yet to be invented, people used hand gestures, body language etc to converse………………… (to / with) one another. Good communication skills…………. (is /are) necessary in all walks of life. The lack of effective communication skills……….. (has/ have) a negative impact on the personal as well as professional life of a person. Good communication skills……………. (is / are) a prerequisite for professionals, in all walks of life. For example: Ineffective communication, rather than incompetence, precludes the doctor from conveying to the patient that the former…………… (has /had) the best interests of the patient in mind. For instance, a doctor……………. (may /should) be knowledgeable and may have considerable expertise in his area of work. However, a patient may feel neglected or ignored if the doctor………….. (is / are) not particularly good at communicating.