please answer both problems. 3x + 6, if x < 0 5. Sketch the graph of f(x) = { 1 -= x+3, if x > 0 ,-0.2371 6. The number of grams Q of a substance after t hours is given by Q=Qoe How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places.
3x + 6, if x so (8 pts) 5. Sketch the graph of f(x)= x+3, ifx>0
Sketch the graph of a function f having the given characteristics. f(3) = f(9) = 0 f'(6) = f'(8) = 0 f'(x) > 0 for x < 6 f'(x) > 0 for 6 < x < 8 f'(x) < 0 for x > 8 f"(x) < 0 for x < 6 or x > 7 f"(x) > 0 for 6 < x < 7
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
6. (10 pts) Use calculus to sketch the graph of f(x) = 6.5-3x Show clearly the (x, y) coordinates of all (-) and x +0. You must show local max, local min, and inflection points. Show clearly the behavior as x ALL work that justifies the shape of your graph.
f. g(f(x)) 5) Solve the system of equations (4.1) (5x + 4y = 7 (2x + 7y=-8 6) Graph the inequality 3x + 5y > 30. (5.1) 7) Graph the system of linear inequalities (5.2) 3x + 2y = 22 (5x + 7y = 55 8) Find the value of an investment in an account (2.5, 3.1, 3.2) a. Bearing 4% simple interest after 5 years.
Question 5: Graph the inequality. y> 3x² + 3x - 5 Question 6: Determine graphically, the solution region for the two inequalities. y > 22 - 3x - 6 and y> 2x2 + 7x + 6 Question 7: Solve the inequality algebraically and show the solution in interval form. x² + 2x - 3 > 0 Question 8: Solve the inequality algebraically and show the solution in interval form. 2x2 - 6x - 9> 11
Sketch the graph of f(x) given the following: lim f(x) = 2 f(-1) =1 f(1) =1 lim f(x) = DNE 1--1 -> A function f is continuous at a number a if lim y(x) = f(a) ca requires the following 3 things:
Sketch a graph of a function f having the given characteristics. f(0) = f(8) = 0 f'(x) < o if x < 4 f'(4) = 0 f'(x) > 0 if x > 4 f"(x) > 0
FIND THE LIMIT OF THE FUNCTION 1 1 lim x 3 X-3X-3 1 A) = 0 B) = c) II 3 9 D) = 0 1 E) = > =; 6) H)= Select one: a. A b.C C. G d. E e. H f. F g. D