Is the following statement necessarily true? Provide a proof or a counterexample. If h : A → B, g : B → C, and f : B → C are three functions, and goh= f •h, then g = f.

Q: Suppose that you must study three out of four subjects namely Mathematics (MTS) , Calculus (CALC), S...

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Q: For a given quadratic function f(x) = x² – 46x + 120 - Answer : (Choose the answer in the boxes) h =...

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Q: The following force of mortality is given: Hy = 0.02 + for 0 sys 100. 100-y' 200-y Find 10910.

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Q: If ax2 +2hxy+by2 =0 represents two straight lines such that the slope of one line is twice of the ot...

A: It is given that the slope of one line is twice the slope of the other line. Let m be the slope of t...

Q: Use an Euler diagram to determine whether the argument is valid or invalid. All robins have wings. A...

A: We can make an Euler diagram for the first premise - All robins have wings  

Q: Use Bisection method to compute the root of the equation f(x) = x² – x – 1 in the interval (1,2) acc...

A: Given equation f(x)=x2-x-1s. We have to find the root in interval (1,2) accurate to within ε=0.2% by...

Q: w Bw 5. Consider the generalized Rayleigh quotient R where A and B are positive %3D w Aw de finite s...

A: Given: The generalized Rayleigh quotient, Rg=wTBwwTAw Here, A and B are positive definite symmetric ...

Q: Solve the following SLES using the Gauss-Seidel method until the approximate relative error is less ...

A: ak+1=12.1(9+2.9 bk-3.9ck)bk+1=1-1.1(2-0.9 ak+1-4.9ck)ck+1=13.1(-8+2.9 ak+1-1.1bk+1)Initial value=(0....

Q: |a² + 1 ab ac The value of the determinant A= ba b2 + 1 bc equals cb c2 + 1 са A. a? + b? + c? B. 1 ...

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Q: S + 4s + 5.

A: It is known that:  L-1bs-a2+b2=eatsinbtL-1s-as-a2+b2=eatcosbt

Q: 3. Approximate the integral -dx using 4 trapezoids.

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Q: 6. y| 11. If D = 0 and x +y = 7, find x. -2 |7 Given D = 1 А. 3 13 В. 4 С. 2 D. 5

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Q: Find the length of the Following curve at the given distance. RIt) = cos t i + Sin xt <플 2

A: We have to find the length of the curve Rt=cos3ti∧+sin3tj∧ in the interval 0, π2. Let x=cos3t and y=...

Q: Write the constraint below as a linear inequality. A canoe requires 8 hours of fabrication and a row...

A: Introduction: Constraints are linear inequalities, equations, or restrictions on variables in a line...

Q: Prove that (2,5) is an open set

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Q: 2. Use Gauss elimination with back substitution to solve the system of linear equations: | 4x, - 3x,...

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Q: Solve the system of equations by any method. -2x + 4y = 18 x – 2y = -9 Enter the exact answer as an ...

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

Q: 3. Suppose that r(t) < s(t) on [1, ), and r(t) is continuous and strictly decreasing on [1, 0). If S...

A: Given rt&lt;st on [1,∞), and rt is continuous and strictly decreasing on [1,∞). Given ∫1∞stdt is con...

Q: Find (1+ecote) csc² 0 do

A: We have to evaluate the indefinite integral ∫1+ecotθcosec2θdθ. We have to use the integral propertie...

Q: 4. Let X = C[0, 1] be the space of continuous real valued functions on [0, 1]. Find a subset K of X ...

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Q: How many times can 9 go in to 225

A: "How many times can 9 go in to 225?" is also the same as asking "What (x) do you multiply by 9 to ge...

Q: class ify the PDE hyperbolic elliphie of par(alaolie

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Q: Find X in base 6= {(40.5)base 8 + (32)base 10} / (A)base16

A: This is a problem of counting, finite math.

Q: Determine the largest interval containing r = 0 for which the initial value problem (r – 1)y" + [tan...

A: If p(x),q(x),and r(x) are  continuous on (a,b) then the differential equation y′′+p(x)y′+q(x)y=g(x),...

Q: d the bearing. The vertical ray points to due north.

A: In the given question, the concept of bearing is applied. Bearing The angle measured in degrees in a...

Q: Let Uj, U2, Uz € R³ be an orthonormal system and let f : R³ → R be differentiable. Prove that af af ...

A: Given that {u1,u2,u3} be an orthonormal system in ℝ3. Let us assume that {x,y,z} be the standard axe...

Q: t 4

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Q: 17 Given D = |1 y| 1. If D = 0 and x +y = 7, find x. -2 13 1 В. 4 А. 3 С. 2 D. 5

A: Solve the determinant.

Q: Q7 Let A = [(p → q) ^(~p → ~q)]. Construct a truth table for A and determine if it is a tautology, c...

A: p q [(p→q)∧(~p↔~q)] 0 0 1 0 1 0 1 0 0 1 1 1 [(p→q)∧(~p↔~q)]p⇒q=q∨~p~p⇔~q=(p∧q)∨(~p∧~q)(~p...

Q: the 'x' with the given below in system of equations: Equation 1: 2wi + 3x(4-3i) = 13 - 66i Equation...

A: Given equations are Equation 1: 2wi + 3x(4-3i) = 13 - 66iEquation 2: 3wi(4+3i) + 25x(1+i)i = -100 + ...

Q: Use an Euler diagram to determine whether the argument is valid or invalid. No cricket players are w...

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Q: (Б) Show that 1 11 %D k(k + 2)(k +4) k=1 4 96*

A: We have to show ∑k=1∞1kk+2k+4 = 1196

Q: 4. Find the product of z1 = -8+3i and z2 = 6-9i in polar form %3D

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Q: Discuss the equivalences that exist among a given conditional statement, its converse, its inverse, ...

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Q: dy tan (x+ y) dx dy = 2 + Vy - 2x + 3 dx

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Q: 2. Draw all non-isomorphic trees of order n, where 2 < n < 6.

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Q: 5. Find the level of each vertex and the height of the rooted tree shown below.

A: The height of a tree is defined as the height of its root node. Note that a simple path is a path wi...

Q: 2. For a given function f(x) -(x – 2)2 + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: c) Maxim...

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Q: f(t) = t(VE³ + 1)²

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Q: Eliminate all the constant in the equation and simplify your final answer. 1. Cx² + x + y = 0 2. y =...

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Q: |a² +1 ab ac The value of the determinant A= ba b2 + 1 bc equals cb c2 + 1 са A. a? + b? + c? B. 1- ...

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Q: We solve the problem of determining the production of two products (x1, X2), unless their market pri...

A: 1st we will find total profit then will use  Method of lagranges multiplier to maximize it . To maxi...

Q: Let p: s is an integer, q: s² > s³. a) Write the following proposition in terms of p, q and logical ...

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Q: 2. Y(s) = J(2s – 3)5 %3D

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Q: If a is constant throughout [a, b], the integral Jf da does not exists. а

A: Given α is constant throughout a,b. Let P=x0=a&lt;x1&lt;…&lt;xn=b be an arbitrary partition of the s...

Q: test for the exactness of the differentral dy + Cosx +Sinyfy -0 quation And hence find the Salution ...

A: A differential equation contains independent variables, dependent variables, and the differential co...

Q: Find T(7+ 8t) when T is a linear transformation from P2 which is a vector space of polynomials with ...

A: Given T is a linear transformation from P2→P2 whose matrix  relative to B = 1, t, t2 is [T]B = 24034...

Q: A box contains 6 balls, 2 blue and 4 green. Two balls are drawn at random in succession without repl...

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Q: Determine L'{F} +e 8. L- s+ 2

A: The Laplace transform of the function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If Lf(t) or F(s)is the...

Q: What will be the amount of his monthly amortization? b. Construct an amortization schedule. Use a ta...

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