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Write each of the given radicals in exponent form.
As illustrated in the last two parts of this example we have to be careful with parenthesis. While we convert to exponent form & the radicand contain more than one term then we have to enclose the entire radicand in parenthesis as we did along with these two parts. To see why this is consider the following,
We know that only the term immediately to the left of the exponent in fact gets the exponent. Thus, the radical form of this is,
Hence, we illustrates that parenthesis is extremely important in this class.
Product Moment Coefficient (r) This gives an indication of the strength of the linear relationship among two variables. N
Prove the subsequent Boolean expression: (x∨y) ∧ (x∨~y) ∧ (~x∨z) = x∧z Ans: In the following expression, LHS is equal to: (x∨y)∧(x∨ ~y)∧(~x ∨ z) = [x∧(x∨ ~y)] ∨ [y∧(x∨
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Find the sum of all 3 digit numbers which leave remainder 3 when divided by 5. Ans: 103, 108..........998 a + (n-1)d = 998
ABC is a right-angled isosceles triangle, right-angled at B. AP, the bisector of ∠BAC, intersects BC at P. Prove that AC 2 = AP 2 + 2(1+√2)BP 2 Ans: AC = √2AB (Sinc
Find out some solutions to y′′ - 9 y = 0 Solution We can find some solutions here simply through inspection. We require functions whose second derivative is 9 times the
Given, y = f(x) = 2 x 3 - 3x 2 + 4x +5 a) Use the Power function to find derivative of the function. b) Find the value of the derivative at x = 4.
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