Discrete Mathematics: Introduction to Mathematical Reasoning
1st Edition
ISBN: 9780495826170
Author: Susanna S. Epp
Publisher: Cengage Learning
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Hint: You may use the following derivative rules:
ddxsin(x)=cos(x)
ddxcos(x)=−sin(x)
ddxln(x)=1x
Find the equation of the tangent line to the curve y=4sinx at the point (π6,2).The equation of this tangent line is
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- Question Find the following limit. Select the correct answer below: 1 2 0 4 5x lim sin (2x)+tan 2 x→arrow_forwardA quality characteristic of a product is normally distributed with mean μ and standard deviation σ = 1. Speci- fications on the characteristic are 6≤x≤8. A unit that falls within specifications on this quality characteristic results in a profit of Co. However, if x 8, the profit is -C2. Find the value ofμ that maximizes the expected profit.arrow_forwardA) The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random conform to the specifications on voltage? B) Continuation of A. Reconsider the power supply manufacturing process in A. Suppose We wanted to improve the process. Can shifting the mean reduce the number of nonconforming units produced? How much would the process variability need to be reduced in order to have all but one out of 1000 units conform to the specifications?arrow_forward
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