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1. A rectangular piece of cardboard measuring 26 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the sides.
Let x represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.
2. A coin is tossed upward from a balcony 220 ft high with an initial velocity of 48 ft/sec. During what interval of time will the coin be at a height of at least 60 ft?
(h = -16t2 + v0t + hQ)
1 ream uses 6% of a tree, Estimate the reams of paper used in one month in an office(may be your father, mother or neighbour), hence find the number of trees that need to be cut fo
Find out a series solution for the following differential equation about x 0 = 0 y′′ + y = 0. Solution Note that in this case p(x)=1 and therefore every point is an or
Establish appropriate algebraic models for each of the following sets of data. You can use technology to assist. Plot them on grids and demonstrate how you have established each mo
y'-5y=0
Describe Square Roots? When a number is written inside a radical sign (√), the number is called the radicand, and we say that you are "taking the square root of" that number.
What is 19% of 26? To ?nd out 19% of 26, multiply 26 through the decimal equivalent of 19% (0.19); 26 × 0.19 = 4.94.
Q. Example of negative number? If you take an elevator 8 stories down , what would be the opposite of this? The opposite would be that you take the elevator 8 stories up .
The 3-D Coordinate System We will start the chapter off with a quite brief discussion introducing the 3-D coordinate system and the conventions that we will be utilizing. We
Determine or find out if the following series is convergent or divergent. Solution In this example the function we'll use is, f (x) = 1 / (x ln x) This function is
Write the quadratic equation whose roots are real and non conjugate Ans) x^2-x+6=0 ...roots are real and non conjugate
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