Chapter 5, Problem 39RE

The definition of the error function also defines an "error term" E(x, y). Find E(x, y) for the function f(x, y) = 3x² + 5y at the point (7,-7). Hint: See the definition of Differentiation in the textbook (link to textbook) Submit Question D

1. (#11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) = x-2x² at x = 1. You must use the Definition of the Derivative to obtain the derivative. 2. (#9 Exam 1 Review) Sketch the graph of the function g for which: g(0) = g(2) = g(4) = 0, g' (1) = g(3) = 0,g' (2) = -1, lim g(x) = ∞, and lim g(x) = -∞ x 5 x-1+ 3. State the three-part Definition of Continuity. 4. (#13 Exam 1 Review) The graph of f is given. State, with mathematically correct reasons, the values for which f is not differentiable. -2 VA 0 2 4 X (Description: Graph with three components. First component is horizontal line in the 2nd quadrant to x = -2. Sharp turn upwards in downward arc into the 1st quadrant and ends with open dot where x = 1. Second component is solid dot at x = 1 vertically below the open dot. Third component begins with open dot at x = 1 below the solid dot. The graph falls in downward arc shape into the 4th quadrant, takes a sharp turn at x = 3 and continues as…

Identify a function f that has the given characteristics. Then sketch the function. f(2)= 8 f'(x) = 3,− ∞ < x < 00 Step 1 We are given f '(x) = 3, −∞ < x < ∞. This means the derivative of our function f is constant for all real numbers. Another way to think of this is that the slope of the tangent line to f is the same regardless of where we are on f. What type of function has a constant slope? quadratic linear exponential cubic Step 2 We determined that f is a linear function, and we know f '(x) is the slope. Write the general form of a linear function replacing the slope with f '(x). f(x) = mx + b f'(x) x + b = Submit x + b Skin (you cannot come back)