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Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function. Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Two person X and Y together can make 25% of total number of bricks in 4.8 days. Another person Z can make 50 bricks in a day. What is the time taken by person X and Z together to make the total number of bricks? I. Dimensions of a brick is (3cm × 4cm × 5cm) while the dimension of a cuboids when all the bricks are put together is (72cm × 80cm × 50cm) and ratio of number of days taken by X and Y alone to make the total number of bricks is 3 : 2. II. The total number of bricks is 4800 and person Y can make 150 bricks in day. III. Total volume of all the bricks together is 1.008m3 and dimension of a bricks is (5cm × 6cm × 7cm) and time taken by Z to make total number of bricks is 200 % more than the total time taken by person Y to make total number of bricks.
The derivative of digital function is defined in terms of difference. Then, which of the following defines the first order derivative ∂f/∂x= ___________ of a one-dimensional function f(x)?
The derivative of digital function is defined in terms of difference. Then, which of the following defines the second order derivative ∂2 f/∂x2 = ___________ of a one-dimensional function f(x)?
The derivative of the symmetric function drawn in given figure will look like
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Quantity I: In a party, 75% of the total number of female is equal to 50% of the total number of male then the number of female is what percentage of the total number of person in the party?  Quantity II: In a school, 66.66% of the total number of girls is equal to 40% of the total number of boys then the total number of girls is what percentage of the total number of students of the school? 
In an election for the Legislative Assembly constituency of Nagpur, three candidates are contesting – candidate A, candidate B and candidate C. The total number of registered voters in the constituency is 10000. Out of the total registered voters, 20% did not cast their vote, and a total of 10% of the total votes casted were declared as invalid. If the candidate A got 60% of the total valid votes polled and candidate B got 20% of the total valid votes polled, find out the percentage of the total number of registered voters who voted for the candidate C.
The approximation of the derivative taken by the Crank-Nicolson scheme is the same as the __________ of spatial derivative.
In MS Excel, what is function inside another function called? A. Round Function B. Sandwich function C. Switch function D. Nested function 
Short-run demand and total cost functions for a monopoly firm are as under:
Demand function : Q = 100 - 0.2 P
Price function : P = 500 - 5 Q
Cost function : TC = 50 + 20 Q + Q2Where Q = Total quantity of the product in physical units.
P = Price of the product per unit
TC = Total cost
What is the profit maximizing output of the pure monopoly firm?