
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...
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...
9. Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = x² Inx²+3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function is decreasing on and increasing on (Simplify your answers. Use a comma to separate answers as needed. Type your answers in interval notation. Type exact answers, using radicals as needed.) OB. The function is decreasing on . The...