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- (Thermodynamics) The work, W, performed by a single piston in an engine can be determined by this formula: W=Fd F is the force provided by the piston in Newtons. d is the distance the piston moves in meters. a. Determine the units of W by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for work listed in Table 1.1. b. Determine the work performed by a piston that provides a force of 1000 N over a distance of 15 centimeters.2- y = e(x+1)b depends on a
- Simplify the following expressions in normal form, if one exists: (λq. q q)(λs. s s a)e) Show that if 6 integers are chosen at random, at least two numbers will have the same remainder when divided by 5. Use pigeonhole principle.3- Simplify the following equation: f(4, B,C,D) = E(0,3,4,6,10,11,14,15) dm(2,7,8,12) where dm is denoted for don't care.
- Q4:) Given that y(x) =x* - x>+ 8x + 10 1:-Use polynomial form to find y and its derivative for x = =312, L1, 2:- Use symbolic expression to find y and its derivative for x = matlapThe number 72 is to be represented as the sum of two positive parts, such that the product of one of the parts by the cube of the other is a maximum. It is desired to find the two parts.please find x value.
- 4- is used for integrating a function that is given as data points. O quad O trapz O ode45 O roots12 Example 2: find y for the following values of x= 5,3,7 and d=4,7,12 y = x² + + 5xd sin(5d) Sol1:Graph the following functions and determine whether the functions are even, odd or neither: (a) y = sin x (b) y = sec x