Circuit Training - Limits 1 NAME Period Directions: Beginning in cell #1, use analytic techniques to evaluate the limit. Do not use technology! Hunt for your answer, call that problem #2, and repeat that process increasing the problem number until you complete the circuit. Answer:2 Answer: -3 lim x2+5x+6 # x2-2X-3 lim #1 x+2 Answer: 12 Answer: 0 lim 2+wi # lim f (x) X+2 f (x) = 12 (x2 - 3,x20 Answer: Answer: [x-51 Me- 3x-15 lim f(x) f ( x ) =1x =(x2 - 3,x20 Answer: 2a Answer: lim f (x) f ( x ) = 12 -3,x20 lim v30-+x3,a20Answer: Answer: 1 lim 623(1 - 32) lim x-+9 X4-2 x+2 Answer: Answer: # lim (y - 4)i # lim 2-V4+h h Answer: - Answer: 16 # lim V5 - A lim VX+3-V3 3x Answer: DNE, limit from left # limit from right Answer: 4 # lim Vy-4 1416 y-16 # lim - x+1Circuit Training - Factoring (Mixed, Intermediate) Name Directions: Begin in cell #1. Factor the expression, then search for one of your factors. When you find it, call that problem #2 and continue in this manner until you complete the circuit. You may need to attach additional sheets of paper to showcase your best work. Anzwer: #__1__ Factorthe GCF: 24a%h 36ab Answer: o4 # Factor: 40ga 4+ 255 Answer: a3 # Factor by grouping: ab4+7b 4+ 32 + 21 Answer: 4a 3 # Use factoring to solve the equation 2x3=0 What is the sum of the solutions? Answer: 3(a1) a? -9 fora = -2 a\"+5a+ Simplify: Anzwer: 3ab -7 t# Factor the trinomial a* 10a + 21 so that it is the product of two binomials. @ Virge Cornelius 2017 Caleulus Mega Bundle Answer: #___ What other value of m vi Answer: # Answer: # Answer: # Answer: # Answer: # 2 If m = 8, then there is a unique solution to the equation x* +mx+ 16 = 0. elds just one solution? a>5 Factor: 49a? 0h* a' 4a + 16 The equation 5(t) = 5t% + 3t + 2 gives the height. s(t), in meters, of a diver at any time t, in seconds, where = 0. When does the diver hit the water? alSa+ 25 Factor: 9a 255 a+8 Factor: 49a 14a+1 a2 Factor: a 3a + 5a 13 Answer: 2a - 1 Answer: 7a + 2b # Rewrite the trinomial 2a + 13a + 15 # Factor the difference of squares: as a product of two binomials. a" - 25 Answer: 3a + 5b Answer: 8 # Factor the difference of cubes: a b - 125 # Factor: a + 64 Answer: Answer: a + 5 # Factor: a + 16a + 64 # Factor: 4a' + 7a - 15 Answer: 1 Answer: a + 5 # The trinomial x - 7x - 8 can be # Factor completely: 2a3 + 2a2 - 40a written as the product of two binomials, (x ta)(x + b). What is a + b? Answer: 2-3 Answer: prime a+2 # Write a trinomial that has (3a + 17) as # Use factoring to simplify the rational one of its two factors. 502-5 expression: a+1 (note a # -1). Answer: -7 Answer: ab - 5 # Factor 21a*b3 + 603b3 # Factor: 9a3 - 25a-b Answer: 7a -1 Answer: a + 8 # Factor the sum of cubes: a3 + 125 # Factor completely: a* - Ba + 16 Answer: 7a -3b Answer: a + 7 #_10_ Multiply: (a + 2)(al - 2a + 4) # Factor by grouping: 2a - 14a - la + 7 @ Virge Cornelius 2017 Calculus Mega Bundle