2. Assume that f is continuous on [1,5] and that f(1) = 20, f(5) = 100. Determine whether each of the following statements is always true, never true, or sometimes true. Justify your answer with a picture if possible. a) f(c) = 3 has a solution with c E [1,5]. b) f(c) 75 has a solution with c E [1,5]. c) f(c) = 50 has no solution with c = [1,5]. d) f(c) = 30 has exactly one solution with c E [1,5]. e) f(c) = 120 has no solution with c = [1,5]. 3. Is a solution guaranteed for the equation e* + In x = 0 in the interval [0.5,1]? F3 2 F4 3 144 F5 Weather Channel DELL F6 F7 F8 F10 711 % 5
2. Assume that f is continuous on [1,5] and that f(1) = 20, f(5) = 100. Determine whether each of the following statements is always true, never true, or sometimes true. Justify your answer with a picture if possible. a) f(c) = 3 has a solution with c E [1,5]. b) f(c) 75 has a solution with c E [1,5]. c) f(c) = 50 has no solution with c = [1,5]. d) f(c) = 30 has exactly one solution with c E [1,5]. e) f(c) = 120 has no solution with c = [1,5]. 3. Is a solution guaranteed for the equation e* + In x = 0 in the interval [0.5,1]? F3 2 F4 3 144 F5 Weather Channel DELL F6 F7 F8 F10 711 % 5
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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