2. Let f: A B be a function, {B}je a family of subsets of B. Prove that f-¹ (njej Bj) = njej f−¹(B₁).

Q: Complete the following truth table in your answer booklet: PQRQ¬Q^P| T|T | T T T F T F T T F F F | T…

A: Table is given

Q: 6. A bacteria is known to double every 20 minutes. How long will it take 5mg of bacteria to grow to…

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Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

A: To find the R we will use the cosine rule R2=P2+Q2-2PQcos(B)

Q: 2. The value of O True O False -¹2 is 11 13 13

A: Follow the steps.

Q: 5. Given a piecewise function 4, f(t): = { 1, 0≤t 2. Express f(t) in the form of unit step function.…

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Q: a.) Express the rate of sales decline as a differential equation. (Here, "K" will be negative) b.)…

A: Follow the steps.

Q: Which one of the following statements is NOT TRUE? O a. If H is a p-dimensional subspace of Rn, then…

A: To Determine: which of the given options are false.

Q: Find an LU factorization of the following matrix (with L unit lower triangular). 1 3 -5 -31 8 4 -1…

A: To find LU factorisation of a square matrix A find a lower triangular matrix L and an upper…

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Q: 1.2. In the process of calculating L-¹ given by: -2.L -2s +3 we get an equivalent expression 10s 7 ^…

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Q: IN 0 (:) ·•···· А. B. None of them О А о О в О с D с.и D.18 20

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Q: consider a closed rectangular box with a squar base. if base side is measured with error at 2% and…

A: The rectangular box has a square base. Let the base side be x Then the base area is x2 The Sum of…

Q: Let S = { 1 - (-1)" | n € N}. Determine inf S and sup S. Justify.

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Q: D The general solution of the system of coupled equations =2a+ay, be + cy can be written as 3 [8] =…

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Q: Find the Inverse af la place transform gigNu (m+ 7)) 9 = (3) M 25-3 3-45 +13

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Q: 2. Evaluate each of the following. Show all steps/work. b) y = log6 216 a) y = log, 243

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Q: 1. Evaluate , 3y e ²x dA where D is the region bounded by x = y² 2 = 1, y = 1 and y = 2. -,x=

A: The given problem is to evaluate the given double integral of the function 3ye2x over the given…

Q: 1. Solve the nonhomogeneous equation by using the method of variation of pa- rameters. d'y dy dar²…

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Q: Determine ¹ I 5s +1 s²-s-12)

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Q: 1. UTM Solve the following differential equation by using the method of undetermined coefficients…

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Q: Determine the dimension of the span of each set. 6 3 12 - A = span ({0}) 2 - -1 4 20 10 40 dim (A) =…

A: Here sets A,B and C are given. We find dim(A),dim(B) and dim(C).

Q: A² = x²y 2 + 2y = y + 3 z ³² x ² 2 5 근 SD • A dv = ? (Do > y 2 - 2 d 1 divergence)

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: 3. Evaluate. a) log₂ 16+ log464 b) log3(2x + 1) = 2

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Q: Let A E M₁ (R) be the matrix d₁ d₂ d3 d₁ 0 1 1 1 A: 1 0 1 1 1 1 0 1 where the first row consists of…

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Q: cosh? z + sinh2z=1 true False O оо

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Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2 *

A: The given problem is to find the area bounded by given region and between the given lines y=-2 and…

Q: Find the solution of the given initial value problem. cos t y' - 10 t y = Y(T) = 0, t> 0 t-10¹ y(t)…

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Q: 1. Use the determinantal criterion for non-invertibility to find all the values of t for which the…

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Q: Let S = { 1 - (-¹)" | n € N}. Determine inf S and sup S. Justify. n

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Q: 5.Express this model of an electric circuit d²y dy +6 +5y=sin10t, y(0)=0, y'(0) = 1 dt² dt As a pair…

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Q: Prove that if f: X → Y is a continuous open mapping, X is compact, and Y is connected and Hausdorff,…

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Q: Prove the following: (A → B) ^ (B → A) (D ∨ E) → B A → (~E ∧ C) ———————— ∴~E

A: We prove the given argument by using rules of inference.

Q: ADVANCE ENGINEERING MATHEMATICS: Answer the following and show your complete solution. 2. Find the…

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Q: Maximize P = 20x + 75y Subject to x+8y ≤ 16 x, y ≥ 0 …... What is the maximum value of P? Select the…

A: Maximize P=20x+75y subject to x+8y≤16x, y≥0

Q: Ex.5 Given the Jordan curve y that is the counterclockwise oriented boundary of the set T= {z=x+iy :…

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Q: b) let R be the disk in the xx-plane centered at the point (0.2) and with radius 2. Calculate JJ₁…

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Q: Fit the following variables with the formula: Y = a ex X₁ 1 2 3 5 6 Y₁ 1.3 3.5 5.0 7.0 8.8 4.2

A: The given problem is to find the best fit curve for the given data by using least squares method.…

Q: Find the four roots of ( 3+14)

A: The given problem is related with complex analysis. We have to find the four roots of 3 + i4. Note…

Q: Let a = : 3432, and b = 332. Find x, y € Z such that xa+yb = gcd(a, b). To get full marks you must…

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Q: lex. min. {g, (x), g₂ (x)} 9₁ (x): -2x1 - x₂ ≥ 9 92 (x): X₁ X1 - 2x₂ ≥ 10 st. 2x1 + 5x2 ≤ 16 6x₁ +…

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Q: x(n) = 3 [2n + 4″]

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Q: Solve the following optimal control problem: minimize f(y(t)² + ku(t) ²) dt subject to x(t) =…

A: Solution:Determine the optimal control and corresponding optimal costGiven :minimize…

Q: 1. A ladder 8 m long is leaning against a wall. If the bottom of the ladder is pulled horizontally…

A: We will draw figure and use differentiation  to find rate of change . Note . Only one question…

Q: Solve the differential equation for y. 2 dy d²y ey dx. dx² 3%. =

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Q: 6. What are the advantages and disadvantages of algebraic vectors compared to geometric vectors?

A: Algebraic vectors deals with the properties of vector space, main part of linear algebra. Using…

Q: In a course on introductory real analysis, Riemann integral is commonly defined through upper sums…

A: As per company guidelines i am solving first three parts if you want any other please specify and…

Q: The boundary value problem y" + y + y = x, y' (1) = 1, y(2) = 2 is solved using central differences…

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Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: To find the solution of the given problem we construct the linear programming problem and then the…

Q: Determines whether or not the given set of vectors is a basis for the R2 space. Justify your…

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Q: Question 2 A man had 3 children Ama, Fiifi and Ebo, whom he gave an amount of 8000 to be shared…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…