Use Laplace transforms to solve the following initial value problem. y" +3y' - 10y= 0, y(0) = -2, y'(0)=31 y (t) = (Type an exact answer.)

1. State the transformations defined by each equation in the order they would be applicd to y f(x). a) y f(x)-1 b) y f(2(x-1)) d) y -2/(4x) e) y -/(-(x+2))-3 c) y=-f(x- 3) + 2 0yD 5) + 6

is the statements true or false?

Which of the following transformations is shown on the graph below? 10 -10 OTranslation OReflection Rotation Dilation OType here to search

Lexington, Ky. has an average July temperature of 76.1 degrees Fahrenheit. What is this average if temp is expressed in Celsius? (Round to two decimal places.) [Hint: Conversion between Fahrenheit and Celsius is a linear transformation: Fahrenheit = Celsius*1.80 + 32, or Celsius = Fahrenheit*(1/1.80) - (32/1.80)]

Suppose that -3 1 -1 -3 A 2 1 -6 2 1 Use this information to describe the transformation T(x) = Ax geometrically. - No text entered -