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What is the y=(ln)x equation?

The graph of y = ln(x) is a curve that increases from negative infinity at x = 0 to positive infinity as x increases to infinity. It passes through the x axis at x = 1, y = 0. The gradient of the graph of y = ln(x) gradually decreases as x increases. There is no real solution of the equation y = ln(x) when x is negative.

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What is an algebraic expression for the phrase "10 more than a number"?

An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change. Some basic mathematical operators are +, -, x and /. The given phrase states that a result can be obtained by adding 10 more to the variable. The variable ?x? can be replaced by any number. If x equals 2, then the expression x + 10 has a value of 12.

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How many tenths of a mile are in a mile?

When taking into consideration more than ten-tenths, such as eleven-tenths or fourteen-tenths, for example, the distance formed by the parts is greater than a mile because the units add up to more than the whole. If fewer than ten-tenths are taken, such as two-tenths or nine-tenths, the resulting distance is inevitably less than a mile.

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What is the shell method in calculus?

The shell method typically involves a graph with bounds. Often, the shape is bounded by either the x or y axis and a function. Solving by the shell method involves taking an integral over the area covered on the graph. For example, if the shape extends from 0 to 2 on the x axis, then it would be integrated from 0 to 2. The integral of this function is multiplied by 2 times pi.

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How do you write a polynomial in standard form?

An example of a polynomial in standard form is x^8 + 2 x^6 + 4 x^3 + 2x^2 + 3x - 2. In this example, there are terms with exponents and a constant. In the given polynomial, "x" is a variable, and the term "x^8" has the highest exponent, which is 8. This is also called the degree of the polynomial. The next term that follows is "2x ^6," which has the lower exponent of 6. The other terms in this polynomial are in descending order when looking at the exponents.\nWhen writing a polynomial in standard form, it is important to look at each term to identify the exponents from highest to lowest correc..

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Who came up with the quadratic formula?

In 2000 B.C., Babylonians used a simple version of the quadratic formula. The Greeks, Egyptians and Chinese also used simple forms of the quadratic formula. In 628 A.D., the Indian mathematician Brahmagupta described the quadratic formula in words but not in symbols. His description of it most closely resembled the quadratic formula used today. In 1545 A.D., Girolamo Cardano put together all that was known previously about the quadratic formula. Finally, in 1637 Ren? Descartes published the formula used today.

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What are binary numbers?

The first number place in the binary system represents the number one, just like normal. However, once the number two is reached, it must be written as 10, because a one in the second number place stands for 21, or 2. The third place is equal to four, so the number four is written as 100. As a final example, the number seven is written as 111 in binary.

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Who invented imaginary numbers?

The square root of a nonpositive real number is an "imaginary number." While an imaginary number can be added to a real number to create a complex number, such numbers were considered of no value, and early mathematicians were slow to adopt their use. In fact, the term "imaginary number" was meant to be derogatory. In modern times, however, imaginary numbers are an essential component of scientific and other calculations.

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How do you convert hex to decimal?

Convert each individual hex digit to base 10 by going right to leftStart with the rightmost hex digit and multiply it by 16^0, remembering that any number to the power 0 is 1. Then, take the next digit to the left, and multiply it by 16^1. Multiply the next digit to the left by 16^2, and so on, until you reach the leftmost digit. If a hex digit is A, B, C, D, E, or F then treat it as 10, 11, 12, 13, 14 or 15, respectively. \n\nFor example, suppose you have the number A5F3 and you want to convert this from hex to decimal. Start with the rightmost digit, 3, and multiply it by 16^0. You get 3 * (..

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How do you graph a hyperbola?

Draw a point at the center of the hyperbolaConsider the equation [(y-5)^2/25] - [(x+4)^2/16] = 1. Take the x-coordinate for the center from the opposite of the constant in the numerator of the x-term, or -4 in this example. Take the y-coordinate for the center from the opposite of the constant in the numerator of the y-term, or 5 in this example. Draw a point on graph paper at (-4, 5).Locate the conjugate and transverse axesTake the square root of the constant in the denominator of the y-term; in the case of the example, the square root of 25 is 5. Move from the vertex in a direction parallel ..

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