Calculus, Mathematics

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By the method of completion of squares solve equation, By the method of com...

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 +

Point-slope form, The next special form of the line which we have to look a...

The next special form of the line which we have to look at is the point-slope form of the line. This form is extremely useful for writing the equation of any line.  If we know that

Simplification, how do we answer questions with fraction mixed. what are th...

how do we answer questions with fraction mixed. what are the easier ways to do it

Analysis and optimization, 1. In an in finite horizon capital/consumption m...

1. In an in finite horizon capital/consumption model, if kt and ct are the capital stock and consumption at time t, we have f(kt) = ct+kt+1 for t ≥ 0 where f is a given production

Volume of solids, find the volume of a rectangular based right pyramid with...

find the volume of a rectangular based right pyramid with its base 18 cm by 24 cm and the slanted edge 39 cm

Determine the line parallel or perpendicular, Determine if the line that pa...

Determine if the line that passes through the points ( -2, -10) and (6, -1) is parallel, perpendicular or neither to the line specified  by 7 y - 9 x = 15 . Solution Togive

Permutation, A telephone dialled is numbered 0to9. if 0is dialled first the...

A telephone dialled is numbered 0to9. if 0is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local n

One-to-one function, One-to-one function: A function is called one-to-one ...

One-to-one function: A function is called one-to-one if not any two values of x produce the same y.  Mathematically specking, this is the same as saying,  f ( x 1 ) ≠ f ( x 2

Find the least and greatest number of coins, Marc goes to the store with ex...

Marc goes to the store with exactly $1 in change. He has at least one of each coin less than a half-dollar coin, but he does not have a half-dollar coin. a. What is the least nu

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