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- 1. Multiple ChoiceWhat is the linearization function L(x) for f(x) = sin(x) for values of x near 0?L(x) = xL(x) = x + 1L(x) = sin(x) + x cos(x)L(x) = cos (x) (x - 0)
- 2. Multiple ChoiceWhat is the linearization function L(x) for
y = (2x-1)2 for values of x near 3?L(x) = 20x - 35L(x) = (2x - 1)2 (x - 3)L(x) = -4x + 1L(x) = 4(2x - 1) - 3. Multiple ChoiceLet L(x) = 3(x - 4) - 2. Find L(3.9).-1.7-2.312.3
- 4. Multiple ChoiceFind dy for the function y = cos(x).dy = -sin(x)dy = -sin(x) dxdy = cos (x) dxdy= cos(x)
- 5. Multiple ChoiceFind dy for the function y = 4x2 + x + 3.(8x2 + x + 3)dx(4x + 1)dx(8x + 1)dx8x + 1
- 6. Multiple ChoiceFind dy if dy/dx = 7 and dx = 1/2.7/2141/142/7
- 7. Multiple ChoiceFind dy for 2xy2 - x2 + y = 5 if x = 0 and dx = 0.01.-50-0.5-5(2x - 2y2) / (4xy + 1) dx
- 8. Multiple ChoiceLet f(x) = x3. Find f(1) and f(1.1). Calculate ∆f.11.3310.331-0.331
- 9. Multiple ChoiceLet f(x) = x3. L(x) is the linearization of f(x) centered at x = 1. Calculate df if ∆x = 0.1.0.130.31.3
- 10. Multiple ChoiceLet f(x) = x3 and L(x) be the linearization of f(x) centered at x = 1. Calculate the approximation error when ∆x = 0.1.0.10.010.3310.031
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