Use the nules of inference, show that the given argument is valid or not. "I am staying at home only if I have a test of Discrete Mathematics or Calculus". "It is snowing today when University is close today". "I am staying at home and University is close today". "I will have not a test of Calculus if it is snowing today". Therefore, "I have a test of Discrete Mathematics".

Q: Show that rejst =rcjs(-0)

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Q: 2.) Solve the following equatior

A: Solve the following equation23(x-4)=14(x+1)x=?

Q: coshz=cosh4 has two sets of solutions: 4+2nπi and a+2nπi where n is an integer. What is the value of…

A:

Q: Find a real general solution. x?y" – 2y = 0.

A: The given differential equation is x2y''-2y=0. Clearly, the given DE is a second order Euler…

Q: 2x²³²y" + 3xy + (2x-1)y=0

A: The given problem is to solve the given differential equation using forbenius method.

Q: 7 dz Integrate: 4 ² + C C

A: The given integral is ∫74-x2dx

Q: x³Væ² + 1 dx

A: Solve the integration

Q: |(13 + 2x²) dr

A: Properties of indefinite integration 1. ∫f(x)+g(x)dx=∫f(x)dx +∫g(x)dx 2. ∫kf(x)dx=k∫f(x)dx 3.…

Q: # Solve the following lvP x² = -22x+10y y = -50x+zzy y (0) = 3 x(0)=1 Then find 5) y(0.5) to at…

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Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: 8 Find the root of the equation +x = 7 using Newton's method. Start at x = 7 and carry out the first…

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Q: Solve the quadratic for x: 5x2 = 405 x = 9 only O x= -9 only Ox = +8I Ox = +9

A: 5x2=405

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Calculate the following utility exercise 2 1 U = X3 +Y4…

A: Given that: U=X23+Y14. Subject to 6X+4Y=400. To calculate the utility is obtained: By putting…

Q: Part b must have some form of an answer right? It doesn't give me the option of DNE or anything, so…

A:

Q: What is the solution or solutions of 3* = 5x?

A: In this question we will find the solutions of 3x = 5 x.

Q: x2, x+2 If (a) f(x) = x² and (b) f(x)= 0, prove that lim f(x) = 4. x2 x = 2 (a) We must show that,…

A: here given  fx=x2  to prove - limx→2fx=4 proof according to definition of limit of a function for…

Q: max y = x1 2 + x2 2 ; subject to (x1 2 /25) + (x22 /9) =1 using the method of lagrangean .

A: Given function:- fx1,x2=x12+x22 Let gx1,x2 =x1225+x229-1

Q: Match each graph with its equation. Graphs can rotate with the mouse. F(t)= [cos(t), sin(t), t]…

A: The equations are:To Do: We have to match the equation with the graph.

Q: Are any of the operations used in Gauss’ method redundant? That is, can any of the operations be…

A: To determine: If any of the operations used in Gauss’ method is redundant. That is, if any of the…

Q: /Solve the following integration dt

A: We have to solve the given integration.

Q: Solve for x ER x + lnx In7 + xe* = 0

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Q: Solve for x ER x + lnx In7 + xex =0

A:

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: find the general solution to Ut – 2Ux = 0 |

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.