1. What is the probability that a randomly drawn A number between 1 and 100 for the lottery is divisible by 3 and find the probability a number NOT divisible by 3 the List of number to help you if you need to: Let A Let A' =

Q: Premises: Vx(L(x) → H(x)) 3x (~ J(x) A L(x)) Conclusion: 3x (H(x) A - J(x))

A: Given that Premises:      ∀xLx→Hx                        ∃x~Jx A LxConclusion:  ∃xHx A ~Jx We have t...

Q: sec x + cosx csc csc x csc? x secx cOS X cos? x cos x cos x f f(x)dx _ , then If f(x) 1

A: f(x)=secxcosxsec2x+cosxcsc2xcos2xcos2xcsc2x1cos2xcsc2x

Q: 6. Let f: A R be a continuous function. Show that if A is compact then sup f(A)e f(A).

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Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e.

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Q: 2a + b – b = 9 3a + b + 2c = 23 %3D %3D 3a + b - 2c = 11 %3D

A: Solution

Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -...

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Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

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Q: 1. Let f : X → R and Y = f-1(R). Then f is measurable iff ƒ-1({-∞}) E M, f-'({∞}) e M, and f is meas...

A: see the attachments 

Q: It can be shown that y1 e31 and y2 d'y = xe are solutions to the differential equation dy + 9y = 0. ...

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Q: (a) For what values of x is the following series convergent? Σ 00 n=0 (b) Find the value of x that s...

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Q: The temperature at 6:00 a.m. is shown on the thermometer below. 30 20 - 10 -10- °C What is the tempe...

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Q: n an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How m...

A: Given: Number of floors= 8 Number of apartments on each floor=9 number of windows in each apartment=...

Q: solve the differential equation xe8Ydx + (7xy+8x²e®Y)dy=0

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Q: Explain why there is no vector v such that × v =.

A: We explain why there is no vector v such that  <1,2,1> × v =<3,1,5>  

Q: The swimming pool can be filled with water in 10 hours using 6 hoses. How many hoses are needed if y...

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Q: Problem: A ladder 10m long is leaning against a vertical wall. If the bottom of the ladder is 8 push...

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Q: Evaluate the determinant of the matrix by a cofactor expansion along the fırst row. --1 1 4 A = 3 0 ...

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Q: Determine whether each of the following series is convergent or divergent using the appropriate test...

A: Note:- Here given series are varies from n equal 1 to infinity  If given series varies from 1 to n t...

Q: Consider the function f(r,v)- (a) Find and sketch the domain of f(z,y). Shade the region correspondi...

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Q: 8. If the volume of the cuboid 350 cubic cm, fength = 10 cm ànd breadth = 5 cm. Then %3D %3D find it...

A: We have to find the height of the cuboid where the volume, length and breadth are given.

Q: 2. (a) Find (if possible) a function y(t) such that its derivative is itself. That is, find y(t) suc...

A: (a) y'(t) = y(t)       => dy/y = dt    Integrating both sides, we get,           ln y = t + ln C,...

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

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Q: Show that the surface area of the solid region bounded by the three cylinders x² + y ^ 2 = 1, y ^ 2 ...

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Q: 3 K find OXA Curd A) at

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Q: Define a recurrence relation and all necessary initial conditions for the following problem: A strin...

A: As per the question we have to find the recurrence relation (with proper initial conditions) in orde...

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C. T...

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Q: By partial fractions ſcos'x sen x dx

A: We have to evaluate the integral ∫cos3xsin4xdx by using partial fractions.

Q: Suppose p, q, andr are propositions. Let the expression (p --> q) -->r be a contradiction. Which of ...

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Q: \ Let v = (v, v2) be a direction vector on a line . The number 8 %3D defined to be the slope of the ...

A: This is a problem of geometry and vector algebra.

Q: Q2. Let a b c A =|d e g hi f Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A-) a (...

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Q: 6- find a, b and cif: w:a.tan Cx"+)- bxy + cy Ln しそ) + cy Ln LZj そー2 t-z X ニ x = zt? y =2e and z: 2t...

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Q: 1. Using the table of values, estimate the slope of a tangent line tangent to the curve f(x) = x³ – ...

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Q: what is the value of 3x+2=27?

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Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1, −2),...

A: Below are graph and input view.

Q: Q, Solve he differnktial equntion by Laplace troms form. ý-y =t, yW=1, ý(0) =1

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post oth...

Q: lse Euler's formula to find the geseral shetion to e homogeneouo lirear DE :

A: x2y''-5xy'+12y=0Assume solution for this Euler-Cauchy equation is xλ for some constant

Q: (d) Work through phase 1 step by step. e) Construct the complete first simplex tableau for phase 2. ...

A: The complete solutions are given below

Q: Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by the following row operati...

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Q: 3. Find the solution of the nonhomogeneous differential equation initial value prob- lem dy dy – 102...

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Q: 1. Show that -p → (q → r) and q –→ (pVr) are logically equivalent without using a truth table.

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Q: Show that the hypotheses: It is not weekend today and it is gloomy than yesterday. (¬WAG) We will go...

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Q: Every bounded sequence is convergent. True False O

A: A sequence is of the form an The limit of the sequence is obtained as limn→∞an=L Bounded sequence: A...

Q: Determine whether x= (0, ,0) is an optimal solution to the following linear program. maximise 3x1 + ...

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Q: b) Solve (D2 – 3D + 2)y = x² + sin x where D = dx

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Q: Compute the Laplace transform of the following: f(t) = t?e-3t

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Q: lentify the quadric surface (ellipsoid, elliptic cone, elliptic paraboloid, elliptic hyperboloid of ...

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Q: Determine the truth value of: " TA(F (TAF)) TRUE FALSE

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Q: B. Provide a short proof. 5. Show that cot 0 d0 is equal to In|sin 0| + C.

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Q: Question 1. Let A = (view attachment) (a) Compute the characteristic polynomial by hand. Show you...

A: Question 1. Let A = (view attachment) (a) Compute the characteristic polynomial by hand. Show your w...

Q: There were 600 students who answered a transportaion survey. Of those surveyed, 159 said that they o...

A: Let U be the set of total students who answered a transportation survey. A be the set of students wh...