19 For X = {1, 2, 3} and Y= {a, b, c), functions f. X - Y and g: Y-X are defined as follows: 1. NT 2 3 What is g(f(2))? 1 b f a b 4 a b C g 1 2 3

Q: 1. Arah borrowed of Php 14,000 from a cooperative and paid a Php 800-interest in a year. What was…

A: Solution - 1 : Given that The borrowed amount P=Php 14,000 Simple Interest S.I=Php 800Time T=1  year…

Q: 30(2te¹ +5) The number of members of a newly founded club is given by M(t) = et members per month,…

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Q: Which of the following functions are bijections? Mark all that apply. The function f: R → R defined…

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Q: Show that the compound propositions [p ^ (p → q)] ^¯q is a contradiction using propositional laws.

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Q: Sam borrows $4000 from a bank at an interest rate of 1% and pays back the loan continuously at a…

A: Pt=$4000N=340y'=0.01y-N    =0.01y-340

Q: 9. -6-5-4 -2 УА 10 in 3 6 5 -4- Ⓒ2- 1- 0 -1 -2- 3- 4- -5 -6- а 1 2 3 4 5 6 10. у -6 -5 -4 -3 -2 -1 6…

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Q: Solve for Undetermined Coefficients y-y" - 4y + 4y = 5-e* + e²x

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Q: On Parametrization: Show that a half circle in the upper half plane with radius R and centered at…

A: As we know that  Equation of circle : x2+y2=r2

Q: Let a₁5 -6 5 -25 and b= 5. For what value(s) of his b in the plane spanned by a, and a₂? The…

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Q: 2. N₁₁ (1) Let x1, x2,..., n E X and ri> 0, for i=1,2,3,..., n. Show that Nr₂ (₂) n... Nr (n) is…

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Q: <=[[1,1,1],[2,3,-1],[1,5,-2]],B=[[2,-2,0],[3,-1,4], -1,2,1]] Which matrix represents the sum of C…

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Q: Find the smallest positive rod the equation 3x³_ g 1₁ ² + 8 = 0, decimal places, correct to using…

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Q: The function is given: y=-2x³ - 4x +9 Find all derivatives up to zero: y=x"; y'=x²-1

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Q: 1) State whether the following functions are odd, even or neither: a) t³ sin(wt) b) t cos(2t) c)…

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

Q: 18. A Ferris wheel has a radius of 7m. The centre of the wheel is 8m above the ground. The ferris…

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Q: III. Give the solution of (2x + 3y + z = -1 3x + 3y + z = 1. (2x + 4y + z = -2

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Q: Solve the following edo of ricatti dy dx = y² + xy + 2x - 4, 3/₁ = -2

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Q: vx (P(x) VQ(x)) = x [~(~P(x)) v Q(x)] =vx [~P(x) → Q(x)]..... (1) Now, [~P(x) →~P(x)] [obvious] So,…

A: We used hypothetical syllogism to solve this problem

Q: A = {x € R: 0 < x < 1}, the universal set is U= A x A, M = {(x, y) € U: 0 < a < Which set P together…

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Q: X4/= 2 -x RP if y=1 Puy SMH

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Q: (a). Evaluate ff F-n dS, where F(x, y, z) = (2x − z, x²y, −xz²), and S is the surface of the cube…

A: The given vector field is Fx, y, z=2x-z, x2y, -xz2, where S is the surface of the cube. To evaluate…

Q: -5 -4 -3 4. 34 y = N 7 -1- -2- -3- -4- 1 2 3 4 5 Write an equation for the function graphed above

A: Given: The graph is given by: To find: We have to find an equation for the function graphed above.

Q: Find the volume of the solid whose base is the region bounded by the z-axis, the curve y-√²+9.z 0…

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Q: (B): In the module Z₁8 as Z-module: 1- Write all submodules of Z18. 2- Find all direct summands of…

A: The given module is ℤ18 as ℤ module.   A nonempty subset N of a R-module M then N is a submodule of…

Q: Let ƒ : R → R, f(x) = x¹/3. Prove that f is not differentiable at 0.

A: Let us solve the given calculus problem in the next step.

Q: Perform the indicated operations and express the result in the requested form. (350.371)…

A: 35e0.37j5.98e1.66j

Q: Question 3: Consider the integer programming problem min (c, x) s.t. Ax > b, x > 0, (1) x – integer,…

A: Consider the LPP: minc, xs.t.Ax≥b,x≥0,        x-integer        . . . . (1) A also has integer…

Q: Use Euler's Formula to simplify: sin(2i).

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Q: 1 > ¹½ 2

A: Note:- For this problem, nothing is mentioned whatever you want. According to the inequality, I'll…

Q: Task 2 Put the following system of linear equations into step form and then solve it: 2x1 x1 -2x1…

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Q: computing the values of sin x with x 6. Numerically investigate lim sinx in degrees. Make an…

A: The given limit is limx→0sin xx. We have to find the value of the limit numerically.

Q: Derive the formula for the volume of a right-circular cylinder with radius r and height h by…

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Q: Find lim f(x). x-3+ -10 toil 10 5 A dining 10 Enable Zoom/Pan 5 X Keyboa dio button will replace the…

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Q: If the original quantity is 10 and the new quantity is 15​, what is the percent​ increase?

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Q: Use the graph of the function to estimate the interval on which the function is decreasing. y Enter…

A: Here we have been given a graph which is increasing then decreasing then increasing again So the…

Q: Simplify the expression. √-81-81 -81 O-9 81 81j

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Q: find the Laplace tramshion for XHD = 1 + 2e²-1 U14+3) 20

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Q: da dt x(0) = Solve the system -21 48 with the initial value 6 8 1 x(t) = -8 19 I

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Q: Find the fourier Transform for the signal Given Ye Sinh (H)

A: Given: Signal, y=sinhtTo find: Fourier transform of the given signal.

Q: 1. Let F。(t) = 1 − (1 – t/105)¹/5 for 0 ≤ t ≤ 105. Calculate a. the probability that a newborn life…

A: As per the guidelines I have solved three sub parts.

Q: TRUE or FALSE. The one-form c = (x + e + 2xy) dx + (y + y²) dy on R² is closed. Select one: True…

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Q: Write an equation for the line through the point (1,3) parallel to the line y = x + 10.

A: The line passes through the point 1, 3 and parallel to the line y=12x+10. We have to find the…

Q: 1. Graph the following function on the board: f(x) = - 0 1+x 1-x 0 -∞<x<-1 -1<x<0 0≤x<+1 +1<x<+∞o

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: C21/ 1 Solve the D.E x.dy - ydx - xy²dx = o

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Q: Let f: RR be a function such that f(x) ≥r, for all x € R. 5. Show that if f(a) converge, then an…

A: As per the question we are given a function f : ℝ → ℝ, such that f(x) ≥ x for all x ∈ ℝ. Now we have…

Q: Please help I need to revise for tomorrow test

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Q: How would I put that into interval notation with any values to one decimal place?

A: Here we can see that the graph is first increasing to the certain points, then it starts decreasing…

Q: Find the cosine of the angle between the following two planes. -1x +2y +5 z -4x +3y -5 z cos 0 = =…

A: The given planes -x+2y+5z=-1-4x+3y-5z=1 We have to find the angle θ between the two planes.

Q: Use properties of logarithms to expand In 8b b+4 b-4

A: Given: ln8bb+4b-4We need to expand the given function using the properties of logarithms.

Q: Q1: Determine whether the sequence a(n) = n*sin(1/2n) converges or diverges. If it converges, find…

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