## An Introduction to Mathematical Analysis |

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analytic geometry angle approximately average rate base Binomial Theorem calculate Check common logarithms compounded constant coördinates cosine curve decimal definite denote derivative diameter difference Differentiate distance traveled draw dy dx dy/dx ellipse equal EXERCISES exponent Express factor Find how fast Find the area Find the equation Find the volume formula fraction ft./sec function geometry given gives graph height Hence horizontal hyperbola hypotenuse instant integral interest interval length logarithms maximum method multiplied natural logarithms negative nth roots ordinate parabola path perpendicular plane point moves positive problems quantity radians rate of increase rectangle result right triangle roots Scientific Notation shows sides Similarly simplify simply Simpson's Rule sine slope solve speed square Substituting subtract tangent temperature theorem tion trigonometric trigonometric functions units varies vertical X-axis y=log zero

### Popular passages

Page 191 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 274 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.

Page 20 - In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.

Page 270 - A line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to half of it.

Page 211 - Any positive number being selected as a base, the logarithm of any other positive number is the exponent of the power to which the base must be raised to produce the given number. Thus, if a

Page 254 - The derivative of the quotient of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the...

Page 446 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.

Page 160 - The moment of a force about any point is the product of the magnitude of the force and the perpendicular distance from the point to the line of action of the force.

Page 428 - The number of permutations of n objects taken r at a time is n\ ,,Pr = n(n - l)(n- 2) • - • (n - r + 1) In particular, nPt = n, nPn = n'..

Page 181 - Briggs logarithm of a number is the exponent of the power to which 10 must be raised in order to give the number.