BERNOULLI BROTHERS – THE MATH FAMILY

Where was the Bernoulli family from?

• Italy

• France

• Switzerland

• Germany

What problem did Johann Bernoulli solve using calculus?

• The brachistochrone curve

• The Pythagorean theorem

• The value of pi

• The area under a curve

What did Jacob Bernoulli discover the approximate value of while exploring compound interest on loans?

• The value of gamma

• The value of e

• The value of pi

• The value of phi

What did Jacob Bernoulli invent?

• Trigonometry

• Polar coordinates

• Algebra

• Geometry

Who was the first person to develop the technique for solving separable differential equations?

• Johann Bernoulli

• Isaac Newton

• Gottfried Leibniz

• Jacob Bernoulli

What is Daniel Bernoulli well known for?

• Work on abstract algebra

• Work on probability and statistics

• Work on algebraic geometry

• Work on number theory

What principle is Daniel Bernoulli known for in fluid mechanics?

• The inverse relationship between density and volume

• The direct relationship between speed and pressure

• The direct relationship between density and volume

• The inverse relationship between speed and pressure

Who was Johann Bernoulli's famous student?

• Pierre de Fermat

• Pierre-Simon Laplace

• Leonhard Euler

• Blaise Pascal

What did Johann Bernoulli demonstrate through calculus in relation to a sloping ramp?

• A brachistochrone curve is optimal

• A parabolic curve is optimal

• A curved ramp with a very steep initial slope is optimal

• A straight ramp is optimal

What did Johann Bernoulli derive the equation for?

• A catenary curve

• A cycloid curve

• An ellipse

• A parabola