Provide an appropriate response.Let f have a derivative on an interval I. f' has successive distinct zeros at 
and 
Prove that there can be at most one zero of f on the interval 
What will be an ideal response?
Assume there are 2 (or more) zeros a and b on the interval 
where 
By Rolle's theorem there is at least one number c in (a, b) such that 
and 
This implies there is another zero between 1 and 5 which is a contradiction. Thus, there cannot be more that 1 zero of f on 
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Find the requested function value of ?.Find csc ?, if sin ? = 0.6870.
A. 1.376 B. 0.9454 C. 0.7280 D. 1.456
Find the simple interest. (The rate is an annual rate unless otherwise noted. Assume 360 days in a year.)p = $4479, r = 0.05% per day, t = 6 months
A. $470.30 B. $0.45 C. $335.93 D. $403.11
Provide an appropriate response.Use the fundamental identity cosh2 x - sinh2 x = 1 to verify the identity. 1 - tanh2 x = sech2 x
What will be an ideal response?
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2