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Let y = |x-4. Find the value of y for each of the following values of...
Let f(x)=x? - 8x-9. a. Find the values of x for which the slope of the...
Let f(x)=x? - 8x-9. a. Find the values of x for which the slope of the curve y=f(x) is 0. b. Find the values of x for which the slope of the curve y=f(x) is -2. a. The slope of the curve is 0 at x = (Simplify your answer. Use a comma to separate answers as needed.) b. The slope of the curve is - 2 at x = (Simplify your answer. Use a comma to separate answers as...
Let f(x,y) = x2 - xy + y2 - y. Find the directions u and the...
Let f(x,y) = x2 - xy + y2 - y. Find the directions u and the values of Duf(1, -1) for which the following is true. a. Duf(1, - 1) is largest c. Duf(1, - 1) = 0 e. Duf(1, -1)= -3 b. Duf(1, -1) is smallest d. Duf(1, -1) = 4 a. Find the direction u and the value of Duf(1, - 1) for which Duf(1 - 1) is largest u=[i+Oj and D,f(1, - 1) = 0 b. Find...
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...
Let f(x) = x² - 10x - 9. a. Find the value(s) of x for which...
Let f(x) = x² - 10x - 9. a. Find the value(s) of x for which the slope of the curve y = f(x) is 0. b. Find the value(s) of x for which the slope of the curve y = f(x) is - 2. a. The point(s) at which the slope of a tangent line is 0 is (Type an ordered pair. Use a comma to separate answers as needed.) b. The point(s) at which the slope of a...
For f(x) = 8x +4 and g(x) = x?, find the following composite functions and state...
For f(x) = 8x +4 and g(x) = x?, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The domain of fog is {x (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B....
Find all values of x satisfying the given conditions. y = 2(3x - 5) - 2,...
Find all values of x satisfying the given conditions. y = 2(3x - 5) - 2, yz = 2(x - 4)+4, y1 = y2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The value(s) of x for which y, = y, is/are { }. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. y = y for all values of x....
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where...
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where the function has any re tox)-x-18x2-4 First find the derivative of f(x) Now find any critical numbers of t(x) (Use a comma to separate answers as needed) O B. There are no critical numbers of fx) in any answer boxes within your choice O A. O B. The function has a relative maximum of O C. 0 D. There are no relative extrema es...
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X...
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X (a) Find f(g(x)) (b) Find g(f(x)) (C) Determine whether the functions f and g are inverses of each other. ary (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) Give any values of that need to be excluded from f(g(x)). Select the correct choice below and fill in any a ols > ОА. XF (Use a comma to separate answers as needed.) O B....
30 31 14 complele) > Find a) any critical values and b) any relative extrema. t(x)=x...
30 31 14 complele) > Find a) any critical values and b) any relative extrema. t(x)=x + 9x -1 a) Select the correct choice below and, if necessary, fill in the answer box within your choice O A. The critical value(s) of the function is/are - (Use a comma to separate answers as needed.) OB. The function has no critical values. b) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice O A....
f(b)-f(a) Find the value or values of that satisfy the equation = f'(c) in the conclusion...
f(b)-f(a) Find the value or values of that satisfy the equation = f'(c) in the conclusion of the mean value theorem for the given function and interval. b-a f(x) = -2.12.12 С (Simplify your answer. Use a comma to separate answers as needed.)
Let f(x)=x? - 8x-9. a. Find the values of x for which the slope of the curve y=f(x) is 0. b. Find the values of x for which the slope of the curve y=f(x) is -2. a. The slope of the curve is 0 at x = (Simplify your answer. Use a comma to separate answers as needed.) b. The slope of the curve is - 2 at x = (Simplify your answer. Use a comma to separate answers as...
Let f(x,y) = x2 - xy + y2 - y. Find the directions u and the values of Duf(1, -1) for which the following is true. a. Duf(1, - 1) is largest c. Duf(1, - 1) = 0 e. Duf(1, -1)= -3 b. Duf(1, -1) is smallest d. Duf(1, -1) = 4 a. Find the direction u and the value of Duf(1, - 1) for which Duf(1 - 1) is largest u=[i+Oj and D,f(1, - 1) = 0 b. Find...
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...
Let f(x) = x² - 10x - 9. a. Find the value(s) of x for which the slope of the curve y = f(x) is 0. b. Find the value(s) of x for which the slope of the curve y = f(x) is - 2. a. The point(s) at which the slope of a tangent line is 0 is (Type an ordered pair. Use a comma to separate answers as needed.) b. The point(s) at which the slope of a...
For f(x) = 8x +4 and g(x) = x?, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The domain of fog is {x (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B....
Find all values of x satisfying the given conditions. y = 2(3x - 5) - 2, yz = 2(x - 4)+4, y1 = y2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The value(s) of x for which y, = y, is/are { }. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. y = y for all values of x....
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where the function has any re tox)-x-18x2-4 First find the derivative of f(x) Now find any critical numbers of t(x) (Use a comma to separate answers as needed) O B. There are no critical numbers of fx) in any answer boxes within your choice O A. O B. The function has a relative maximum of O C. 0 D. There are no relative extrema es...
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X (a) Find f(g(x)) (b) Find g(f(x)) (C) Determine whether the functions f and g are inverses of each other. ary (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) Give any values of that need to be excluded from f(g(x)). Select the correct choice below and fill in any a ols > ОА. XF (Use a comma to separate answers as needed.) O B....
30 31 14 complele) > Find a) any critical values and b) any relative extrema. t(x)=x + 9x -1 a) Select the correct choice below and, if necessary, fill in the answer box within your choice O A. The critical value(s) of the function is/are - (Use a comma to separate answers as needed.) OB. The function has no critical values. b) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice O A....
f(b)-f(a) Find the value or values of that satisfy the equation = f'(c) in the conclusion of the mean value theorem for the given function and interval. b-a f(x) = -2.12.12 С (Simplify your answer. Use a comma to separate answers as needed.)
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