5) Calc: ; f(x) = 4 - |x] 6) Calc: f(x) = tan x 6- 7) 8) Given the areas, determine the integrals. (8 - 2x) dx ['s() dx - 10 and [ f()ax = 3 evaluate ca ) [ 35() dx. 9) Given the areas, Determine the integrals. 10) Given the areas, determine the integrals. [f() dx = 4 and f(x) dx = -1 f(x) dx = 10 and 8(x) dx = -2 evaluate evaluate (b ) [ f( ) dx . (a) [f (x) + 8(x ) ] dx . (b ) [8 ( x ) - F6: () [ r() dx. (d) - sf (x ) dx. (c) 2g(x) dx. (d) 3f (x ) dx .1 1) Use right rectangles with 5 subintervals to estimate 12) the integral. Use three equal subintervals and the (a) left endpoints, (b) right endpoints, and (c) midpoints. When f is an increasing Assume that f is a decreasing function. function, how does each estimate compare with the actual value? Explain your reasoning. 0 2 4 6 8 10 X 0 2 3 5 6 f(x) 32 24 12 -4 -20 -36 f (x) - 6 8 18 30 50 80 13) The graph of f is given. Evaluate each definite 14) Consider the function f that is continuous on [-5,5]. integral using geometric formulas. [ flax = 4. (4, 2) Evaluate each integral. ca) ['LFG) + 2] dx ( ) [ , fx + 2 ) dx ") [ f(x) dx (f is even ) (@ ) [. (x ) dx (fis odd.) (-4, -1) (a) [ rod) ax ") [ LA() + 2] dx15) Determine the area bounded by 16) -1 x-x2 y = 2vx - x and y = 0 8 2VX dx 17) The velocity (in feet per second) of a particle moving along a line is v(t) = 2t + 2 where t is the time in seconds. a) Determine the displacement of the particle from t = 1 to t = 5 seconds. (Displacement is net distance). b) Write an equation for the position of the particle if s(0) = 4. Position is the particular solution for the integral of v(t). c) (Calc) Determine the Total Distance the particle traveled from t = 1 to t = 5. Total Distance = [ v(t) |dt GVHS Dr. Zack Student Name 4