Equivalent land area of 600 mm^2 map-area with given map-scale |

Evaluate the integral of (x dx) / (x^2 + 2) with lower limit of 0 and upper limit of 1 |

Determine the radius of curvature of the curve x = y^3 at point (1, 1) |

Calculate the area enclosed by the curve x^2 + y^2 - 10x + 4y - 196 = 0. |

Sum of the first ten terms of a Geometric Progression |

Calculation of true distance of a line measuring 160.42 m using a tape that is 0.02m too long |

A circle has an equation of x^2 + y^2 + 2cy = 0. Find the value of c when the length of the tangent from (5, 4) to the circle is equal to one. |

Calculate the acute angle between 2x - 4y - z = -5 and 3x + 4y + 5z = -6 |

If arcsin (3x - 4y) = 1.571 and arccos (x - y) = 1.047, what is the value of x? |

The digits of a three-digit number are in arithmetic progression, find the sum of all the digits |

There are 7 arithmetic means between 3 and 35. What is the sum of all the terms? |

A boat going upstream takes 1.5 times longer than going the same distance downstream. If the water current in the river is 8 kph, calculate the speed of the boat in still water. |

What is the equation of the normal to the curve x^2 + y^2 = 25 at (4, 3)? |

What is the radius of the circle x^2 + y^2 - 6x = 0? |

When the polynomial x^4 + bx^3 + 5x^2 + dx + 6 is divided by x - 2 the remainder is 16. When it is divided by x + 1 the remainder is 10. Find the value of constant d. |

Gas is escaping from a spherical balloon at a constant rate of 2 fˆ3/min. How fast is the outer surface area shrinking? |

Determine the percentage uncertainty in the area of a square that is 6.08 (+/-) 0.01 m on a side. |

In still water, your small boat average 8 miles per hour. It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the current. What is the rate of water's current? |

BCR of $180,000 investment yielding $60,000 annual benefits at 7% annually |

Which pizza is a better buy: large with 16-inch-diameter for $15 or medium with 8-inch-diameter for $7.50? |

Given the following equations: ab = 1/8, ac = 3, bc = 6. Find the value of a + b + c. |

Which of the following is the derivative with respect to x of (x + 1)^3 - x^3? |

How many terms from the progression 3, 5, 7, 9, ... must be taken in order that their sum will be 2600? |

How many men paid for a total amount of $262,143.75 if the first person to arrive only paid 25 cents? |

Find the equation of the curve passing through the point (3, 2) and having s slope 5x^2 - x + 1 at every point (x, y) |

A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one |

What is the Coefficient of the 8th Term of the Expansion of (2x - 1/x)^10? |

How Far An Object Has Fallen If Its Velocity Is 80 Feet Per Second |

How Long Would it Take to Fly From Earth to Jupiter? |

Volume of Inflating Spherical Balloon as a Function of Time |

Smallest Triangular Portion From A Square Lot |

Dimensions of the Lot for a Given Cost of Fencing |

Amount of Sales Needed to Receive the Desired Monthly Income |

The Tide in Bay of Fundy: The Depths of High and Low Tides |

Longest Day of the Year: Summer Solstice |

What is the Chance of Rain: Local vs Federal Forecasts |

Number of days the project delayed |

Probability That Exactly 1 is Defective in Getting 2 Cell Phones |

Angle Correction for Repeated Measurement |

Expected Profit for the Acceptance of Estimate of an Engineering Company |

Rate of Change of Volume of Sand in Conical Shape |

Duel of Two 50% Marksmen: Odds in favor of the man who shoots first |

Velocity of Separation: How fast is the distance between two cars changing? |

Centripetal Force of a Ball Revolving Uniformly in a Horizontal Circle |

Radius of Circle of New Atom Smasher |

Ratio of Volume of Water to Volume of Conical Tank |

Finding The Length Of Parabolic Curve Given Change In Grade Per Station |

Find y’ if x = 2 arccos 2t and y = 4 arcsin 2t |

Probability That A Randomly Selected Chord Exceeds The Length Of The Radius Of Circle |

Regular Octagon Made By Cutting Equal Triangles Out From The Corners Of A Square |

Time After 3:00 O'clock When The Hands Of The Clock Are Perpendicular |

Smallest Part From The Circle That Was Divided Into Four Parts By Perpendicular Chords |

Number of Steps in the Escalator |

Two Gamblers Play Until One is Bankrupt: Chance That the Better Player Wins |

Angle Between Two Zero-Based Vectors in XY-Plane |

Probability of Winning the Carnival Game of Tossing a Coin Into a Table |

Four Trapezia Formed by the Difference of Two Concentric Squares |

Random Steps of a Drunk Man: Probability of Escaping the Cliff |

Length of Parabolic Sag Curve with Given Change in Grade Per Station |

The Distance the Particle Travels with Given Position Function x(t) = t^4 - 8t^2 |

Compound Curves: Finding the Stationing of PCC with Given Stationing of PC |

For Sn = 3^(2n - 1) + b; Find the Quotient a9 / a7 |

Y-component of Vector A if Vectors A and B are Orthogonal |

General Term of Arithmetic Sequence that Models the Potential Annual Salaries |

Weight of Copper and Tin to Produce an Alloy of 30% Copper and 10% of Tin |

Nutrition: Amount of food A, B and C to Meet the Nutrient Requirements |

Samuel Pepys Wrote Isaac Newton Asking Which Event is More Likely to Occur |

Burning Bale from Catapult to Travel 150 ft and Clear Over 35 ft Castle Wall |

Spinning Spherical Target: Probability for Three Marksmen to Hit on the Same Hemisphere |

Equation of the Diameter of Parabola Bisecting Parallel Chords of Given Slope |

Fundamental Frequency of Fourier Equation in Cosine Form |

Amount of Sales Needed to Receive a Specified Monthly Income |

Area Bounded by Intersecting Chords in a Circle |

Slope of a Curve of Given Parametric Equations |

A solid spherical ball remolded into a hollow spherical ball |

Distance From a Point to a Plane in 3D-Space |

Find the Integral of dx / sqrt(1 + sqrt(x)) |