12-12 D (f[9(x)]) at x = 3 is (Type an integer or a simplified fraction.) Consider...
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x) = x – 6; g(x) = 6x? What is the domain of -? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x|}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain is {x| x is any...
Refer to the graph of y=f(x)=x2 + x shown. Answer parts A-D as an integer or simplified fraction. a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2 + h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)). 18- 16- 14 12 10- 8- 6- 49...
Find the volume of the region between the planes x +y+3z 3 and 4x+4y Z 12 in the first octant. The volume is (Type an integer or a simplified fraction .) Find the volume of the region between the planes x +y+3z 3 and 4x+4y Z 12 in the first octant. The volume is (Type an integer or a simplified fraction .)
32 Given f(x) = 1x and g(x) = find the following expressions. x2 + 8 (a) (fog)(4) (b) (gof)(2) (c) (f of)(1) (d) (gog)(0) (a) (fog)(4) = (Type an integer or a simplified fraction.) (b) (gof)(2) = (Type an integer or a simplified fraction.) (c) (f of)(1) = (Type an integer or a simplified fraction.) (d) (gog)(0) = (Type an integer or a simplified fraction.)
a. The line integral of F over the straight-line path C1 is 3 (Type an integer or a simplified fraction) Find the line integrals of F-yi + 3xj +2zkhom (0.0.0) to (1.1.1) over each of the following paths a. The straight-ine path Ct rt)-ti+j+ tk, 0sts1 ь. The curved path C2 r(t)-ti+t2jtt4k.0sts1 c. The path C3UC consisting of the line segment from (0,0.0) to (1,1,0) followed by the segment from (1.1,0) to (1,1,1 10 b. The line integral of F...
Find the sum. 5+7+9+ ... + 77 The sum is (Type an integer or a simplified fraction.)
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. 3x +7 f(x) = 7x-3 9(x) = 6x 7x-3 (a) Find (f+g)(x). (*+g)(x)=(Simplify your answer.) What is the domain off+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B....
Evaluate the given definite integral. S (1-x)?dx dx = (Type an integer or a simplified fraction.)
If f(x) = x² – 2x and g(x)= 3 - x°, evaluate the following. a. (f+gX3) b. (g-f)(4) c. (fog)(1) d. a. (f+9)(3) = (Simplify your answer.) b. (g - f)(4)=(Simplify your answer.) c. (f.g)(1)-(Simplify your answer.) d. (-1) - (Type an integer or a simplified fraction.) Enter your answer in each of the answer boxes
18 of 28 (12 complete) 2.37 Consider the functions f(x) = 2x - 6 and g(x) = 5 +3. (a) Find f(g(x)) (b) Find g(f(x)), (c) Determine whether the functions fand g are inverses of each other. (a) What is f(g(x))? f(g(x)) = (Simplify your answer.)