1205_T3_sampleAns

1205_T3_sampleAns - Math 1205 - Test 3 1. [14] Given f Hx L...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 1205 -- Test 3 25 Apr 2007 NAME: You will be graded on how well and fully you support your work! Use only methods developed in class. 1 . [14] Given f H x L = è!!!! 3 H + 4 L a. Determine all critical points for H L . ' H L = 2 + 4 ÅÅÅÅÅÅÅÅÅÅÅÅÅ "###### 2 3 (use the product rule). ' H L DNE when = 0 ' H L = 0 when = - 2 b. Determine the absolute maximum and absolute minimum of H L on the interval @ - 2, 0 D . Evaluate H L at the critical points AND the endpoints: H - 2 L = - 2 è!!!! 2 3 H 0 L = 0 ABSOLUTE MAX: 0 ABSOLUTE MIN: - 2 2 3 2 . [14] Can the Mean Value Theorem be applied to the function H L = 2 + 2 - 1 on the interval [0, 1]? Why or why not? If the Mean Value Theorem can be applied, find all values of c that satisfy the theorem. Yes, the Mean Value Theorem can be applied to H L since H L is continuoud on [0,1] and differentiable on (0,1). So, there exists some c in [0,1] where ' H L = H b L - H a L ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅ - = H 1 L - H 0 L ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ ÅÅÅÅÅ 1 - 0 = 2 - H - 1 L ÅÅÅÅÅÅÅÅÅÅÅÅÅÅ 1 = 3 ' H L = 2 + 2 When does ' H L = 3? 2 + 2 = 3 Ø = 1 ÅÅÅÅ
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

1205_T3_sampleAns - Math 1205 - Test 3 1. [14] Given f Hx L...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online