2(x-4)<-4 2. RATIONAL INEQUALITY 1. Put the rational inequality in general form. JOY R(x) > 0 Q(x) where > can be replaced by <,s and 2 Write the inequality into single rational expression on the left side. Set the numerator and denominator equal to zero and solve. The values you get are called critical values. number
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- If a matrix A = [A11 A12 .· A1n A21 A2n : : An1 An2 ... Ann ], order (nxn) Aii = 1, Aij = 0 for i # j. Then that matrix is know as * Identity matrix Null matrix Singular matrix• Use the definition of Laplace transform to find L{f (t)} for the given f (t). a) f(t) = cos2(t – n) %D b) f(t) = 2 sin 3t cos 3t 2 c) f(t) = sinh t 3Find the general solution to the following differential equations. Show all necessary solutions. 4. (x² + y² +1)dx+x(x - 2y)dy = 0 5. y'= x - 2ycot 2x Non-Exact DE Linear DEs of Order One
- b. Find The Fourier series for the function defined by (n + x -n < x < 0 f(x) = {" * * X – 1)Find L{f (t)} of the following functions. Note: a, b, e, k and r are constants. (1+1 ,0Elimination of Arbitrary Constant Find the differential equations of the following relations : 4. ysin2x-xy^2=CY:1. O %01 H.w.pdf > H.W Use N.R First Method to solve the following function: X3 + 2X -2 Start with X1 = 1(a) Find the approximate integral of the following function using Simpson's 1/3 rule and (b) composite Simpson's 1/3 rules (use the indicated interval and the number of segments for each problem) f(x) = x ^ 2 * e ^ x at x = [0, 1] where n = 6Apply de'Moivre's theorem or otherwise to solve for Zo and C from these expressions given below: ZO-Z/Y and C=Z*Y Where: .Z is a complex number. • Y is also a complex number. • Re (Z0) >0 and Re (C) >0 Find Z0 and C when: Z=1+5j,Y=1-3jQ: A periodic function F(x) whose definition in one period is: x + 1 - 1< x< 0 f(x) = { x - 1 0find the first four terms of the recursive sequence defined below. a1 = −3, an = a (n − 1) − n. applying polya's technique. with explanation step by step.The function f' defined by the formula f(t +h)- f(t) f'(t) = lim is called the derivative of f with respect to t. The domain of f consists of all t in the domain of f for which the limit exists. Use this definition to find f'(t) if f(t) = 12t² + t. f'() =SEE MORE QUESTIONSRecommended textbooks for youStructural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou…Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage LearningStructural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou…Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning