Using rules of inference and/or laws of equivalence, show that the premises below con- clude with e^c. Give the reason for each step as you show that e^c is concluded. Each reason should be the name of a rule of inference and include which numbered steps are involved. For example, a reason for a step might be "Modus Tollens (4,5)." 1. 2. 3. 4. 5. 6. 7. Statement a- f b→ d ¬d^a fvc -b-e Reason Premise Premise Premise Premise Premise

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A:

Q: 1+r+r²+ · +r² (1−gn+1) 1-r for all n E N, where r E R \ {1}.

A: Given Identity:, .To find:The summation value when .

Q: aswer next 3 please

A:

Q: Let S (t) be the number of daylight hours on the tth day of the year in New York. We are given the…

A: Let L=∑[f(tn)−a−bsin⁡(2πtn/365)−ccos⁡(2πtn/365)]2our aim is to minimize L.L is a function of…

Q: could you answer the rest please?

A:

Q: An oral inhalation (DULERA) to treat asthma provides, in each inhalation, 100 µg of mometasone…

A: We have to calculate the daily quantity of each drug inhaled, you need to consider the dosage in…

Q: Find the volume of the solid generated by revolving the region bounded by the curve y = 8 sec x and…

A: Given that the curve and the line over the interval about the x-axis.To find the volume of the solid…

Q: 4. Graph the following piecewise-defined functions. (x + 2)² - 1 x ≤ −2 -|x|+2 √x-2 (a) G(x) = -2 <…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [3 3x cos(2x) dx

A: Given: We have to evaluate the given integral.

Q: 2. Show that (i) 2 Fn3|n, = Hint: For example in case (ii), write Fn Tn's are related. (ii) 3 F 4|n,…

A:

Q: Let f be a periodic function defined by 1. f(x) = (a) Sketch f over several periods (b) Find the…

A:

Q: An agricultural company markets two types of food compounds for animals. The first contains 4 units…

A: Given that:An agricultural company markets two types of food compounds for animals.The first…

Q: Let p, q, r, and s be propositions. Show that the following argument is valid by using rules of…

A: 5.We use the rules of inference to prove the given argument.

Q: 1. Draw the flowchart and trace table for the exponential function shown below. The Algorithm should…

A: We draw the flowchart and trace table for the exponential function shown below. The Algorithm should…

Q: Wha would be the addition of 12'-37/8" + 10'-23/4"? 22¹-65/8" 22¹-55/8" 23'-6" 22'-7"

A:

Q: nswer the given question with a proper explanation and step-by-step solution. Please provide the…

A: Note: As no method is mentioned, one may choose any method to solve the Differential Equation.

Q: The slope field for the equation y = x +y is shown below F-11171-1 1171111 1/11 *** 150////11 "U 14…

A: Given:- A differential equationy'=x + yTo find: Solution that passes through (0,0)(-3,1)(-1,0)

Q: QUE iven a demand curve of P = 215 - 3Qd and supply of P = 12 + 2Qs, find the equilibrium price…

A:

Q: Solve the linear system using the Gauss-Jordan elimination method. -0.3x +0.4y = 7 0.6x +1.7y= 31…

A:

Q: How many gallons of a 80% antifreeze solution Strength must be mixed with 70 gallons of 25%…

A: Let, x gallon of antifreeze solution is mixed with 70 gallons of antifreeze solution. Then, in the…

Q: Let E be an equivalence relation on a set X. Recall that for each x ∈ X, the E-equivalence class of…

A:

Q: Consider to subspaces Up and U₂, where Ut is spanned by the columns of 41 and U₂ is spanned by the…

A:

Q: 1. Use the graph of the function y = f(r) and the labeled points (A-H), given below, to answer the…

A: The  given graph  of  the function  is    and lebeled points  are .To determine  the rate of change…

Q: Use the Gauss-Jordan elimination method to find all solutions of the system of equations. x + 5y =…

A: We have to solve the given system of linear equations and evaluate the value of x and y.

Q: Show that the Galois group of x" - 1 over any field of characteristic zero is abelian.

A: We have to show that the Galois group of xn -1 over any field of characteristic zero is abelian.

Q: Which number line would help you compute how much money you had in the following situation? You have…

A: You have .You pay someone .You receive a gift of .The aim is to find the amount of money you had in…

Q: Let g(x) = 2x² - 7x + 4. (a) On which interval(s) is g(x) > 0? (b) On which interval(s) is g(x) < 0?

A: Given function:Given function is downward (coefficient of is negative) parabola (quadratic equation…

Q: 3 gallons 2 quarts + 2 gallons 3 quarts

A:

Q: 4. (Basic application of Inverse Function Theorem (IFT)) Recall that when the hypothesis of IFT is…

A: IFT gives a formula for the differential of .To Find:Write the derivative of f using the above…

Q: (b) For matrices A = compute following (i) AB and BA -1 -2 1 " B = [ 3² 3], 0 = [-2² 1²/2 41-²-3 and…

A:

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x, and then find the nth Taylor…

A:

Q: it said your answer was incorrect

A:

Q: 7. Use previously proven logical equivalencies to prove each of the following logical equivalencies…

A: We know that P→Q ≡ ⌝P∨QAssociative law P∨(Q∧R)≡(P∨Q)∧(P∨R)

Q: For each of the following sentences, write out what it means in words, state whether it is true or…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Given A = -3-12 6 24 -4-16 find one nontrivial solution of Ax=0 by inspection. [Hint: Think of the…

A:

Q: 7. Describe the solution set for the linear systems given in (a) and (b), and (c) compare them. a)…

A: We have to find the solution of given linear equation and compare them.

Q: An open rectangular box with square ends (height equal to the shortest side of the base) is to be…

A: At a cost of  per square foot for the base and  per square foot for the sides, an open rectangular…

Q: Using the techniques discussed in this section, solve the following system of linear equations.…

A: The given system of linear equations,The aim is to solve the system of linear equations.

Q: 8) An engineer believes that a new manufacturing process has improved the strength of a certain…

A: First we can define the null hypothesis and alternative hypothesis for one - sample t test as…

Q: Answer this question correctly, please and thank you! Mrs. Reid is going on a trip. She has 9 books…

A: Given that Mrs. Reid is going on a trip and she has 9 books that she hasn't read yet, but she wants…

Q: 3. A hedge fund has two trading desks (A and B ) which have different traders with different trading…

A: Since you have asked multiple questions, we will answer the Question (a) and (b) for you. If you…

Q: State the domain and range for each graph:

A: A graph of the function is given.The aim is to find the domain and range of the function.

Q: Q6. Find the Fourier series of the periodic function f(x) = {-²₁1 0<x<T -π < x < 0

A: We have to find the Fourier series of the periodic function

Q: 5. Design a circuit that will disable the passage of an input signal (A) only when control inputs B,…

A: We have to design a circuit that will disable the passage of an input signal (A) only when control…

Q: # Select the mathematical expression that is equivalent to the sum Σ= 20+1 j=0 с Σ= 2* k=1 Σ²2k+1 Σ=…

A: We solve the given problem by open the summation .

Q: Find the exact area of the surface obtained by rotating the given curve about the X-axis. x = cos³0,…

A: The area of the surface obtained by rotating the curve about x-axis is given by the formulaGiven…

Q: be a field and let n be a positive integer. Then There exists a primitive nth root of unity in some…

A: Suppose that F be a field and let n be a positive integer. Then there exists a primitive nth root of…

Q: Health insurance coverage for an employee is $2,470 per year. Their employer pays 80% of that cost.…

A: The total amount of health insurance is .Employer pay of the cost

Q: Solve for x. x is to 1/2 as 9 is to 4 1/2.

A:

Q: State the domain and range for each graph: D: R: -4

A: