Derive the following rules from the Logical Equivalence Rules. 1 Absorption Laws 2 Material Equivalence Laws

Q: 7. F(t) = cos?- sin? 2 8. F(t) = cos ( bt 9. F(t) = 8 sin- cos %3D

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Q: find max ., min. and saddle points for the following functions: e f = 4x - 6xy +5y" -20x +26y

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you...

Q: Which of the following series is convergent? (1) to cos(nn) 5n+1 (1) E (II) E n? !5+2n² (III) E +00 ...

A: 1)  ∑n=1∞ cos(nπ)5n+1 cos(nπ) = (-1)n ∑n=1∞ (-1)25n+1 Here limn→∞ 15n+1 = 0   and 15n+1 is decreasin...

Q: A golf ball is struck across a flat fairway at an angle of 60° with an initial speed of 135ft/s. a.)...

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Q: 2) Use a comparison test to determine whether the infinite series n2 converges or diverges. n+ n2 + ...

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Q: Consider the differential equation 4+7 + 12y = 36r, z>0. dr iven that the complementary function is ...

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Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

Q: 8. O Solve and state restrictions X-2 %D x+2 x2-4

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Q: Given the graph of the function below. Find the limit of the function as x approaches -1.* (3, 4) (0...

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Q: :) use the adjoint nethod to Find the invecse df the given ma trics 6.) 012 0 lc lo0%

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Q: equation if 2 Error <1 2o CON SECANT METHOD, find root of using f(x) = x* -3x*ー8x-チメ+G=0

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Q: Find parametric equations for the line. (Use the parameter t.) The line through (-8, 4, 7) and paral...

A: we have given the line through (-8, 4, 7) and  parallel to the line 12x=13y=z+1 we have to find the ...

Q: Factor the polynomial and use the factored form to find the real zeros. (Enter your answers as a com...

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Q: Find the area of the surface generated by revolving x= 21-y,0sys about the y-axis. x=2 The area is 1...

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Q: What is the inverse of (show the steps) a) 20 mod 49 b) 7 mod 26

A: Multipart :  We have , 20 mod 49 We need to find Inverse. We know that , if aa¯ ≡ 1 mod m then a¯ is...

Q: Problem 2 : How many bit strings of length 14 contain (a) exactly two ls (b) at most four 1s (c) two...

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Q: Give a recursive definition for each of the following. (You don’t need to prove your definitions are...

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Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be selec...

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Q: Multiply matrix rs 31 by L-3 -2) 5

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Q: 1. (C"B)A" 3 A = -1 B = -1 4 C = 1 2. tr(4ET – D) 1 1 1 2 6. 1 3 D = -1 1 E = -1 1 3 2 4 4. 3

A: To evaluate the given matrices. 

Q: Given the function f(1) = sin(8 1) Use the Laplace Transform table to convert this function into F(S...

A: We have to find out the laplace transform of  f(t) = sin(8t)

Q: Find the solution of the equation cos y which teds to zero as r 0o and has she valne cos v vwhen r=0

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Q: Consider the following simultaneous linear differential equations. dr dt dy dt (a) Express the syste...

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Q: 16. Find mZV. T. (9x – 19)° 111° (7x +3) (5x + 8)° 128° W

A: Find the Value of x, using sum of all angles in a hexagon is 720°

Q: OFind the complete solution of the partial differential equation 2x*p² – yzq – 3z2 = 0 %3D | (ii) Fi...

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Q: Find the derivative of the function at Po airection oT u. f(x, y) = 3x 2 + 4y, P o(8, 7), u = 3 i - ...

A: 1. Given f(x, y) = 3x2 + 4y and u = 3i - 4j u^ = 1|u|u = 15(3i - 4j) ∇f·u^ = (i^ddx(3x2+4y) + j^ddy(...

Q: A large tank contains 100 gallons of brine in which 10 lbs. of salt is dissolved. containing 0.2 lbs...

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Q: Decide if the statements below are true or false. Given: f (z) = z³ – 22- 17z + 65 To find all of th...

A: Given function is fx =x3 -x2 -17x +65

Q: (a) lim fo (f) The equations of the asymptotes X = (smaller x-value) X = (larger x-value) y%3D (smal...

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Q: 4. Use the Laplace transform to solve the " + 4a' + 4x = 4e", a(0) 0, r' (0) - 1.

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Q: Given that х" () — х (1) + 5у (1) %3D1 ут () — 4у(1) — 2x/(1) — —2 – 2x1(t) : where x(0) 3D х/(0) — ...

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Q: You have taken a loan of $54,000.00 for 22 years at 4.8% compounded quarterly. Fill in the table bel...

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Q: 1. Evaluate by expansion of minors: 10 -3 -2 -4 3 2 Solve the system by use of determinants: 12

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Q: Solve the following. A. Cards If a card is drawn randomly from a deck of 52 cards find the probabili...

A: Given, A card is drawn from a deck of 52 cards. To find -1. Probability of getting red              ...

Q: Python Program to find Volume & Surface Area of a Cylinder?

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Q: hit vectors orthogonal to a = (3, 3, 0) and b = (- answer so that the first vector has a positive fi...

A: INTRODUCTION: The formula for the units vectors orthogonal to vectors A and B is given by, v1 and v2...

Q: 4. Riley was a spectator at his town's air guitar competition. Contestants were allowed to play eith...

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Q: 9x sin() dx equals to sirtx2) C-8. Value of

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Q: Question 3. Suppose G is a group with order 99. Prove that G must have an element of order 3.

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Q: QUESTION 4 Find all the distinct left cosets of H={(1), (1 2)(3 4)} in D4-

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Q: Solve the system -2 -3 Y with Y(0) = %3D 3 -2 -3 Give your solution in real form. Yı (t) = y2 (t) =

A: The given problem is to find the solution for the given differential equation system in the matrix f...

Q: 5-89. Graph the two functions below on the coordinate plane at right. y = 3(2)* y = 3(2)* + 10 How d...

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Q: $0.10/cm^2 to reinforce the can's shape, two metal wires of equal length will each be bent into a ci...

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Q: A cellular phone company offers several different service options. One option, for people who plan o...

A: Solution:-

Q: Determine the intervals on which the given function is concave up or concave down and find the point...

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: H.W. Find y at x = 2.8 for the data in table :- 4 Yi 2 3.5 2.3 188 2.

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Q: Let x and y be non-negative real numbers. Arithmetic mean of x and y is defined by 2, and the geomet...

A: The problem is related to descriptive statistics. Under statistics the arithmetic and geometric mean...

Q: The following table gives retail values of a 2017 Corvette for various odometer readings. Odometer R...

A: we have given the table that gives retail values of a 2017 Corvette for various odometer readings. (...

Q: the Feurier tranefrn XC10) for the Pulse f the Sapual derlribed bekw: Frind 「-2, -ろs トヒへロ X(4) %3D 1...

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