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Fundamental Theorem of Calculus, Part I If f(x) is continuous on [a,b] so, g(x) = a ∫ x f(t) dt is continuous on [a,b] and this is differentiable on (a, b) and as,
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So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable
If Gretta's bicycle has a 25-inch radius wheel, how far will she travel in two turns of the wheel? (π = 3.14) a. 491 in b. 78.5 in c. 100 in d. 157 in d. To determin
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
If A, B are acute angles and sinA= cosB, then find the value of A+B. Ans: A + B = 90 o
A professor is interested in decisive if attending college influences the level at which an individual cooperates with the police. The professor is not sure if attending college w
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Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.
Determine if the following sequences converge or diverge. If the sequence converges find out its limit. a. {3n 2 - 1 / 10n + 5n 2 } ∞ n =2 b. {e 2n / n} ∞ n =1 c
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