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Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

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What is 0 to the power of 0?

00 is undefined.

Consider the limit of x0 as x approaches 0. Since x0 = 1 for every positive value of x, the limit is 1.

Now consider the limit of 0x as xapproaches 0. This limit is 0. Since the two limits are unequal, the value of 00 cannot exist.

What is -6 x -8 plus -16?

Multiplication is done first: -6 x -8 = 48. Addition of a negative is the same as subtraction of a positive: 48 + -16 = 48 - 16 = 32.

Can you show me how to Solve -12 times 4 plus 5 plus y?

(-12x4)+5+Y = -48+5+Y = -43+Y

Rewritten as Y = 43 (Hint: - 43 = -Y, then multiply both sides by -1, which will not change any value)