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(Algebra: solve 2 × 2 linear equations) You can use Cramer’s rule to solve the following 2 × 2 system of linear equation provided that ad − be is not 0:
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- (x² If h(x) X 2 , then 2arrow_forwardQuestion Number Four: Answer each one of the following questions in the space assigned: 1- Simplify each of the following expressions using boolean algebra identities: [4 Marks] a- AB + A( CD + CD') b- ( BC' + A'D) ( AB' + CD') 2- Optimize (simplify) the following boolean function F together with the don't care conditions d in Product-of-sums using k-map: F(A,B.C.D) = IIM (1,3,4,6,9,11)+Ed (0,2,5,8,10,12,14)arrow_forwardThe spring in the figure below is stretched from its equilibrium position at x = 0 to a positive coordinate xo. ko HINT x = 0 x = xo PE sn PE 50 The force on the spring is F and it stores elastic potential energy PESO. If the spring displacement is tripled to 3x, determine the ratio of the new force to the original force, and the ratio of the new to the original elastic potential energy, Fo Fo PESO (a) the ratio of the new force to the original force, PE ST PE SO (b) the ratio of the new to the original elastic potential energy,arrow_forward
- () Wride the bonlowering in mathematica expression z= Je'ry? + loe-yt b. q EKarrow_forwardIn C Programming Language solve the following programarrow_forward(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.arrow_forward
- (Statics) An annulus is a cylindrical rod with a hollow center, as shown in Figure 6.7. Its second moment of inertia is given by this formula: I4(r24r14) I is the second moment of inertia (m4). r2 is the outer radius (m). r1 is the inner radius (m). a. Using this formula, write a function called annulusMoment ( ) that accepts two double-precision numbers as parameters (one for the outer radius and one for the inner radius), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 5a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.arrow_forwardF(x.y,z)=x'y'z+x'yz+xy'z'+xy'z can you simplify this and draw the diagram of the simplified functionarrow_forwardThe Harris-Benedict equation estimates the number of calories your body needs to maintain your weight if you do no exercise. This is called your basal metabolic rate, or BMR. The calories needed for a woman to maintain her weight is: WBMR = 655 + (4.3 × weight in pounds) + (4.7 × height in inches) − (4.7× age in years) The calories needed for a man to maintain his weight is: MBMR = 66 + (6.3 × weight in pounds) + (12.9 × height in inches) − (6.8 × age in years) A typical chocolate bar will contain around 230 calories. Write a java program that allows the user to input his or her weight in pounds, height in inches, and age in years. The program should then output the number of chocolate bars that should be consumed to maintain one’s weight for both a woman and a man of the input weight, height, and age. NOTE: This is an application of a selection statement! Input Data: Use a named constant for the number of calories in a “typical chocolate bar.” Use Scanner methods to enter the…arrow_forward
C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr