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Another form of Rolle’s theorem for the continuous condition is _____ b) f is continuous on c) f is continuous on d) f is continuous on
Which ion hydrolysis the reaction in alkali hydrolysis?
The hydrolysis of chlorine is also temperature dependent. _________ in Pulping Processes gives the hydrolysis constants of CI2 as a function of temperature; they are 1.45 x 10-4 at 0°C and 9.75 x 10-4 at 60°C.
Consider the following statements regarding continuous beam: 1. A beam is said to be a continuous beam if it is supported on more than two supports. 2. A continuous beam is a statically indeterminate structure. 3. The degree of indeterminacy depends upon the number of supports and also on the nature of the supports. Which of the above statements are correct?
Which of the following statements is/are correct? 1. A continuous-time system is a system in which, continuous-time input signals are applied, resulting in continuous-time output signals. 2. A system is said to be linear if it follows the superposition theorem. 3. A system is said to be non-linear if it follows the superposition theorem.
Rolle’s theorem is applicable to the and continuous in open interval (a, b) only and having same value at point ‘a’ and ‘b’ b) Functions continuous in closed interval only and having same value at point ‘a’ and ‘b’ c) Functions continuous in closed interval and differentiable in open interval (a, b) only and having same value at point ‘a’ and ‘b’ d) Monotonically Increasing funtions
Mean Value theorem is applicable to the and continuous in open interval (a, b) b) Functions continuous in closed interval only and having same value at point ‘a’ and ‘b’ c) Functions continuous in closed interval and differentiable in open interval (a, b) d) Functions differentiable in open interval (a, b) only and having same value at point ‘a’ and ‘b’
Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer :

Statement : The integrated steel plants in India would no longer have to depend on imports for continuous casting refractories.

Assumptions :
I. Continuous casting refractories are needed by India.
II. Continuous casting refractories are in demand.
Given the following statements about a function f : R → R , select the right option:
P: If f(x) is continuous at x = x0, then it is differential at x = x0.
Q: If f(x) is continuous at x = x0, then it may not be differentiable at x = x0.
R: If f(x) is differentiable at x = x0, then it is also continuous at x = x0.
Which of the following statements is/are incorrect? a)  According to Heckscher-Ohlin, mutually beneficial trade is based on the principle of absolute advantage. b) The law of comparative advantage indicates that each country will specialize in the production of those commodities in which it has the greatest comparative advantage or the least comparative disadvantage.