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Chapter 29 Solutions
Mathematics for Machine Technology
- Obtain the voltage across the capacitor for the following input: (a) 5Volts; (b) 3sin(t); (c) 2 cos(t). Use Laplace transform and Cramer's rule.arrow_forwardFor communcation marks. In the questions answered above should have the criteria show proper mathematical form use proper symbols, notations, conventions, graph(s) where applicable solution is neat, clear and easy to follow If you write on the paper in online version you will be assigned 0 marks except graph.arrow_forwarda) If is a polynomial function, does always have to have a horizontal asymptote? If no, provide a counterexample. ax+b b) Write an equation for a rational function whose graph of the formex+d where f(x) has all the indicated features. X-intercept of 14 Y-intercept of -1/2 VA with equation -2/3 HA with equation 4/3arrow_forward
- An airplane has a speed of 400 km/h with no wind. The airplane flies 2140 km with the wind. The airplane can only fly 1860 km against the wind in the same time. If w represents the speed of the wind, create an equation could be used to solve for w? Find the speed f the wind. hint; Use Time = Distance / speedarrow_forwardx²+8x+15 f(x) = Consider the function. x²-x-12 a) Determine the following key features of the function: i) domain and range ii) intercepts iii) equations of any asymptotes and holes iv) intervals where the function is increasing and intervals where the function is decreasing v) Sketch the graph.arrow_forwardPls help ASAParrow_forward
- plate is attached to its base by 6 bolts. Each bolt is inspected before installation, and the probability of passing the inspection is 0.9. Only bolts that pass the inspection are installed. Let X denote the number of bolts that are inspected in order to attach one plate. Find the probability that less than 7 bolts need to be inspected in order to attach the plate. Round answer to four decimal places. distribution can be used here with parameters r =6 and p = The requested probability isarrow_forwardThe analysis of results from a leaf transmutation experiment (turning a leaf into a petal) is summarized by the type of transformation completed: A naturalist randomly selects three leaves from this set without replacement. Total Textural Transformation Yes No Total Yes 243 26 269 Total Color Transformation No 13 18 31 Total 256 44 300 Let X represent the number of leaves that have undergone both transformations. The appropriate probability distribution of X is a distribution. The parameters are population size N = size n = number of events K = and sample The probability that at least one leaf has undergone both transformations is probability to four decimal places.) X has a N = K= n = The requested probability is distribution. (Round thearrow_forwardThe life time of a certain battery is modeled with the Weibull distribution with shape parameter ẞ=2 and scale parameter 8-10 hours. Determine the mean time until failure of batteries. (Round the answer to one decimal place.) hoursarrow_forward
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