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Integration We have, so far, seen that differential calculus measures the rate of change of functions. Differentiation is the process of finding the derivative
The time t required to test a computer memory unit is directly proportional to the square of the number n of memory cells in the unit. For a particular type of unit, n = 6400
By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans: 4 x 2 +3 x +5=0 ⇒ x 2 + 3/4 x + 5 = 0 ⇒ x 2 + 3/4 x +
if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3
At a bakery the cost of 30 experts is 45$. Write an equation that shows the cost of 45 cookies
States the negation of the statement ∀x ∃y (xy = 1) so that no negation precedes a quantifier. Ans: The negation of the following statement is written as ~ [∀x ∃y (xy = 1)]. An
(19 + 7 i)
Drawing Escher style tessellation
"Standard" trig equation: Now we need to move into a distinct type of trig equation. All of the trig equations solved to this point were, in some way, more or less the "standard"
A box is 30 cm long, 8 cm wide and 12 cm high. Determine the length of the diagonal AB ? Round to the nearest tenth. a. 34.5 cm b. 32.1 cm c. 35.2 cm d. 33.3 cm
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