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Differentiation by Substitution
Differentiation of certain functions seem to be very difficult, but by suitably substituting the independent variable with some trigonometric function or other functions, they can be differentiated easily. If f(x) involves inverse trigonometric functions of algebraic..
Method of substitution:
If the integrand f(x) of the integral is not in an integral form the variable of integration x is changed to a suitable variable z by substitution and on differentiation and simplification, the new integral is found integrable. ..
Differentiation by Substitution
Differentiation of certain functions seem to be very difficult, but by suitably substituting the independent variable with some trigonometric function or other functions, they can be differentiated easily.Differentiation of certain functions seem to be very difficult, but by suitably ..
Integration by Substitution
If u is a function of x, we can use the following formula to evaluate an integral. f dx = (f/(du/dx)) du Using the Formula Use of the formula is equivalent to the following procedure: 1. Write u as a function of x..
Nucleophilic substitution reactions
general representation of nucleophilic substitution reaction In the C-X bond there is a partial positive charge on the carbon atom and negative on the halogen atom. Thus nucleophilies attack the electron deficient carbon resulting in the displacement of the weaker nucleophile, the halide ion. Reactions of alkyl halides are generally nucleophilic h..
Chemical Properties - Nucleophilic Substitution Reactions
Nucleophilic substitution reactions In the C-X bond there is a partial positive charge on the carbon atom and negative on the halogen atom. Thus nucleophilies attack the electron deficient carbon resulting in the displacement of the weaker nucleophile, the halide io..
Find the number of solutions the given linear system has, using the su..
Find the number of solutions the given linear system has, using the substitution method. x + 5 y = 11 -5 x - 6 y = -17 => No solution or Two solutions or Infinitely many solutions or Exactly one solution..
Find the number of solutions the given linear system has, using the su..
Find the number of solutions the given linear system has, using the substitution method. x + 3 y = -7 3 x - 2 y = 12 => Infinitely many solutions or No solution or Exactly one solution or None of the above..
Solve the system by substitution: 3x- y = 3,-6x + 2y = -6
Solve the system by substitution: 3 x - y = 3, -6 x + 2 y = -6 => No solution or Infinitely many solutions or (2, 3) or (1, 0)..
Find the number of solutions the given linear system has, using the su..
Find the number of solutions the given linear system has, using the substitution method. x + 5 y = 5 [Equation 1] 5 x + 25 y = 49 [Equation 2] => No solution or Exactly one solution or Infinitely many solutions or None of the above..
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