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Differentiate following functions. (a) R ( w) = 4 w - 5 log 9 w (b) f ( x ) = 3e x + 10x 3 ln x Solution : (a) It will be the only example which doesn't includ
Evaluate the given limit. Solution : It is a combination of many of the functions listed above and none of the limited are violated so all we have to do is plug in x = 3
Optimization is required in situations that frequently arise in finance and other areas. Organizations would like to maximize their profits or minimize thei
Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du, where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably
(x^2)y-(y^2)x
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
John is planning to buy an irregularly shaped plot of land. Referring to the diagram, determine the total area of the land. a. 6,400 m 2 b. 5,200 m 2 c. 4,500 m 2 d.
Determine the coordinates of the point equidistant from Salt Lake City and Helena
Q. Basic Set Union Operation? Ans. Suppose instead that your school needs to know which students are taking either art or business or both. Then the students who are ta
Multistage sampling Multistage sampling is similar to stratified sampling except division is done on geographical/location basis, for illustration a country can be divided into
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