Question Details Box Stretch 1 [ ]

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1 Lesson 63 Prouct Rule ( ) Due: Mon Mar :30 AM MST Question Instructions Rea toay's Notes an Learning Goals 1. Question Details Box Stretch 1 [ ] Suppose you have an elastic rectangle. Its height is constant at 6 cm, but its wih is a variable, x. At first x = 10 cm, but then it stretches to 10.8 cm, as shown below. Fin the change in wih. =.8 cm Fin the change in area. Δ(6x) = 4.8 cm^2 or false: Δ(6x) = 6

2 2. Question Details Box Stretch 2 [ ] Suppose you have an elastic rectangle. Its wih is constant at 10 cm, but its height is a variable, y. At first y = 6 cm, but then it stretches to 6.5 cm, as shown below. Fin the change in height. Δy =.5 cm Fin the change in area. Δ(10y) = 5 cm^2 or false: Δ(10y) = 10 Δy

3 3. Question Details Box Stretch 3 [ ] Suppose you have an elastic rectangle. Wih, x, an height, y, are both variable. At first the rectangle is 6 cm by 10 cm, but then both sies stretch to 6.5 cm by 10.8 cm. Fin the change in area. Roun to the nearest whole number. Δ(xy) = 10 cm^2 Compute Δy = 0.4 cm^2 or false: Δ(xy) = Δy Compute an roun to the nearest whole number: (6 cm) + (10 cm) Δy = 10 cm^2 or false: Roune to the nearest whole number, Δ(xy) = (6 cm) + (10 cm) Δy

4 4. Question Details Delta Prouct Alg [ ] Suppose you have two functions: f(x) = x 2, an Also, there is a thir function forme by multiplying both of these: Answer the following questions. All answers must be accurate to at least two ecimal places. Be careful with rounoff error. Compute the rate of change of f on [1,1.001]. Compute the rate of change of g on [1,1.001]. Compute the rate of change of h on [1,1.001]. Compute or false: g(x) = sin x h(x) = x 2 sin x Δh = 2.00 =.54 = 2.22 = 1.08 Δh = Compute g(1) +f(1) = 2.22 or false, roune to two ecimal places: Δh = g(1) +f(1)

5 5. Question Details Delta Prouct Units [ ] Suppose you have two functions: F(t) measures force applie to a lever. The units are Newtons. (WebAssign abbreviation N.) L(t) measures the istance from the fulcrum to the force application point. The units are meters. t is measure in secons. Also, there is a thir function forme by multiplying both of these. It's calle torque. T = F L What are the correct units for T? F What are the correct units for? L What are the correct units for? T What are the correct units for? What are the correct units for F L? F L What are the correct units for? F L What are the correct units for L + F? Base on units alone, which of the following coul possibly be true? Select all that apply. F F L = L + F L F F L = L F T = L + F L F T = L 6. Question Details RogaCalcET [ ] Use the Prouct Rule to calculate the erivative. f(x) = x 3 (4x 2 + 2) 7. Question Details RogaCalcET [ ] Calculate the following erivative. x x cos(4 3x) =

6 8. Question Details RogaCalcET [ ] Use the Prouct Rule to calculate the erivative. f(x) = (x + 3) 2 e (x + 3) 9. Question Details RogaCalcET [ ] Fin the erivative of f(x) = 5x 2 sin x + 5x cos x. 10. Question Details RogaCalcET [ ] Compute the erivative of k(θ) = θ 2 sin 2 θ. k'(θ) = 11. Question Details RogaCalcET [ ] Calculate the following erivative. (Assume a an b are constants.) ((ax + b)(abx 8 + 3)) x 12. Question Details DGB RogaCalcET [ ] Calculate the erivative. Enter your answer as an exact fraction or as a ecimal accurate to at least 4 ecimal places. h(s) = s 1/2 + 2s 7 s 1 h s s = 9 = Assignment Details Name (AID): Lesson 63 Prouct Rule ( ) Submissions Allowe: 100 Category: Homework Coe: Locke: Yes Author: Skriletz, Jaimos ( jaimos@math.boisestate.eu ) Last Save: Feb 24, :04 PM MST Group: BSU Calculus Ranomization: Assignment Which grae: Last Feeback Settings Before ue ate Question Score Assignment Score Publish Essay Scores Question Part Score Mark Help/Hints Response Save Work After ue ate Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark A Practice Button

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Question Instructions Read today's Notes and Learning Goals.

Question Instructions Read today's Notes and Learning Goals. 63 Proucts an Quotients (13051836) Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Instructions Rea toay's Notes an Learning Goals. 1. Question Details fa15 62 chain 1 [3420817] Fin all