Let f(x)=x? - 8x-9. a. Find the values of x for which the slope of the...
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....
Let y = |x-4. Find the value of y for each of the following values of x. a. 8 b.-9 c. All the values of x for which y is 1 a. When x is 8, y is (Simplify your answer. b. When x is - 9. y is (Simplify your answer.) c. All the values of x for which y is 1 are (Simplify your answer. Use a comma to separate answers as needed.)
Find the absolute maximum and minimum of the function f(x,y)=2x? - 8x + y2 - 8y + 7 on the closed triangular plate bounded by the lines x = 0, y = 4, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is The function assumes this value at . (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is The function...
Let X be a binomial random variable with the probability distribution f(x) shown below. Find the probability distribution of the random variable Y = x2. 3-X ; x = 0, 1, 2, 3 f(x) = elsewhere Complete the probability distribution g(y) of the random variable Y = x². 3-2/ , y=0,1 g(y) = elsewhere (Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expressions. Simplify your answers. Use a comma to separate answers...
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...
Let X be a binomial random variable with the probability distribution f(x) shown below. Find the probability distribution of the random variable Y =X4. 3-x f(x)= H , = 0, 1, 2, 3 f(x) = { elsewhere Complete the probability distribution g(y) of the random variable Y = X*. elsewhere (Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expressions. Simplify your answers. Use a comma to separate answers as needed.) icals as...
Use the functions f(x)-X-1 and g(x)=x + 19 to answer parts (a)-(g) (a) Solve f(x)-0 b) Solve g(x)-0 c) Solve f(x)-gx) (d) Solve f(x)>0 (e) Solve gix)s0 (f) Solve f(x) > g(x). (g) Solve f(x)21 (a) The solution tox)0sx Type an integer or a fraction. Use a comma to separate answers as needed.) (b) The solution to g(x)-0isx Type an integer or a fraction. Use a comma to separate answers as needed.) (c) The solution to f(x),(x) is x:0. Type...
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they f(x)=x4-8x2+2 [-3,3] The absolute maximum value is | | at x = (Use a comma to separate answers as needed) where points of inflection occur. Do not sketch the graph box to On which A. The function is concave down on (Type your answer in in to separate answers as needed) O B. The function is never concave down...
use f(x) and g(x) to find a formula for each expression. identify its domain. the (x) and (c) to find a formula for each expression Identity its domain (109830-96) 1000 m 1(x)=8x96x)=1 - 4x (a) ( + g(x) = (Simplify your answer) Determine the domain offT+ x). Select the correct choice below and, if necessary, fill in the arewer box to complete your choice O A The domain is {xx (Type an integer or a simplified fraction Use a comma...