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Classify the discontinuities in the function below at the given point. x2 - 8x + 7...
(1 point) A function f is said to have a removable discontinuity at a if: 1....
(1 point) A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not continuous at a. 2. f(a) could either be defined or redefined so that the new function is continuous at a. Let f(x) = 2x2+6x–80 X-5 Show that f has a removable discontinuity at 5 and determine the value for f(5) that would make f continuous at 5. Need to redefine f(5) =
Find all the maxima and minima of the given function. f(x,y) = x2 + xy +...
Find all the maxima and minima of the given function. f(x,y) = x2 + xy + y2 + 3x - 3y + 1 Find the maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is/are maxima located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) B. There are no maxima. Find the values of the maxima. Select the correct choice below...
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a)...
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and X-intercepts, if any. Does the graph off open up or down? 12 8- up Odown 2015 12 118 12 16 What are the coordinates of the vertex? The vertex of the parabola is (Type an ordered pair. Use integers or fractions...
Determine the location of each local extremum of the function. f(x) = -x2 – 3x2 -2...
Determine the location of each local extremum of the function. f(x) = -x2 – 3x2 -2 What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima is/are atx= (Use a comma to separate answers as needed. Type integers or simplified fractions.) OB. The function has no local minimum. What is/are the local maximum/maxima? Select the correct choice below and, if necessary, fill in the...
Solve the inequality 0 ( (x +5)(x-9)(x +7)s Select the correct choice below and, if necessary, fll in t...
Solve the inequality 0 ( (x +5)(x-9)(x +7)s Select the correct choice below and, if necessary, fll in the answer box to complete your choice. O A. The solution is(Type your answer in interval notation.) 0 B. There is no solution. Solve the inequality x3 +7x2 +10xs0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution is (Type your answer in interval notation.) O B. There is no solution....
Use synthetic division to decide whether the given number k is a zero of the polynomial...
Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is not, give the value of f(k). f(x) = x2 +9x? + 8x - 60; k= -6 Is-6 a zero of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The given k is not a zero of the polynomial function f(-6) - OB. The given k is a...
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of...
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =
Choose the correct graph below. Graph the given function and then find the specified limits. If...
Choose the correct graph below. Graph the given function and then find the specified limits. If necessary, state that the limit does not sign exist ndy 0(x)x2-3: lim (x) and lim ox) ОА OB X-3 der Select the correct choice below and, if necessary, fit in the answer box to complete your choice -TO 10 OA L lim ) (Simplify your answer.) 20 ar OB. The limit does not exist ss Select the correct choice below and, if necessary, fill...
6. (10 points) The graph of a function fis given below. 2 a. For which values...
6. (10 points) The graph of a function fis given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) ii. limf(x) ill. lim f(x) 22+
Find the absolute maximum and minimum, if either exists, for f(x) = 8x® - +8x3 -...
Find the absolute maximum and minimum, if either exists, for f(x) = 8x® - +8x3 - 3x4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum is at x = B. There is no absolute minimum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is at x = B. There is no absolute...
(1 point) A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not continuous at a. 2. f(a) could either be defined or redefined so that the new function is continuous at a. Let f(x) = 2x2+6x–80 X-5 Show that f has a removable discontinuity at 5 and determine the value for f(5) that would make f continuous at 5. Need to redefine f(5) =
Find all the maxima and minima of the given function. f(x,y) = x2 + xy + y2 + 3x - 3y + 1 Find the maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is/are maxima located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) B. There are no maxima. Find the values of the maxima. Select the correct choice below...
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and X-intercepts, if any. Does the graph off open up or down? 12 8- up Odown 2015 12 118 12 16 What are the coordinates of the vertex? The vertex of the parabola is (Type an ordered pair. Use integers or fractions...
Determine the location of each local extremum of the function. f(x) = -x2 – 3x2 -2 What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima is/are atx= (Use a comma to separate answers as needed. Type integers or simplified fractions.) OB. The function has no local minimum. What is/are the local maximum/maxima? Select the correct choice below and, if necessary, fill in the...
Solve the inequality 0 ( (x +5)(x-9)(x +7)s Select the correct choice below and, if necessary, fll in the answer box to complete your choice. O A. The solution is(Type your answer in interval notation.) 0 B. There is no solution. Solve the inequality x3 +7x2 +10xs0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution is (Type your answer in interval notation.) O B. There is no solution....
Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is not, give the value of f(k). f(x) = x2 +9x? + 8x - 60; k= -6 Is-6 a zero of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The given k is not a zero of the polynomial function f(-6) - OB. The given k is a...
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =
Choose the correct graph below. Graph the given function and then find the specified limits. If necessary, state that the limit does not sign exist ndy 0(x)x2-3: lim (x) and lim ox) ОА OB X-3 der Select the correct choice below and, if necessary, fit in the answer box to complete your choice -TO 10 OA L lim ) (Simplify your answer.) 20 ar OB. The limit does not exist ss Select the correct choice below and, if necessary, fill...
6. (10 points) The graph of a function fis given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) ii. limf(x) ill. lim f(x) 22+
Find the absolute maximum and minimum, if either exists, for f(x) = 8x® - +8x3 - 3x4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum is at x = B. There is no absolute minimum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is at x = B. There is no absolute...
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