1- Let f:X-Y and g:Y-Z are two mappings such that gof: X→ Z is bijective. Show that is one-to-one mapping but need not to be onto and g is onto mapping.

Q: Please answer the question in the image with all the steps.

A: Answer is given below:  Explanation:Question 1:Answer: A)To determine whether a simple graph exists…

Q: We have an equation called (*) where e-x = x3 where we have that x is an element of R. Where the…

A: Given

Q: Find a counter example for the following: For all integers x, if 12 | x^2 then 12 | x.

A: To find a counterexample for the statement "For all integers x, if 12 | x^2 then 12 | x," we need to…

Q: Let f (-1,1)→ R, f(x) = (1 + x³) -³. Compute g' : (0, 1) → R where X (a) g(x) = f * ƒ f. (b) g(x) =…

A:

Q: The figure shows the graphs of three functions. One is the position function of a car, one is the…

A: The c-curve is the position, the b-curve is the velocity, and the a-curve is the…

Q: refer  to  image  below.

A: Dimension of H = 2.Basis of H{⎣⎢⎢⎢⎡​060−3​⎦⎥⎥⎥⎤​,⎣⎢⎢⎢⎡​5−30010​⎦⎥⎥⎥⎤​} Explanation:Step 1: Step 2:…

Q: Consider the ring R = 2Z and the ideal I = 24% of R. Does the ring R/I have an identity? Explain.

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:

Q: Use the Taylor polynomial for f(x) = sqrt(x) of degree 2 at point 100 to find an approximate value…

A:

Q: Construct a sequence of unbounded functions 9n : [0,1] → R that converges pointwise to a bounded…

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Q: Let T : P3 → R2×2 be defined by cx²)= T(a + bx + cx b 2a] = 2c b and let B be the basis for P3 and ◇…

A:

Q: Determine if the scalar vector field is Lipschitz Continuous on the indicated domain f(x)=sin(tx), =…

A: The scalar vector field  f(t,x)=sin(tx) is Lipschitz continuous on the domain  Ω=R ,I=R with…

Q: Consider the system of equations x-4y = -5 -3x+5y = 1 (a) Write down the tabular form of this system…

A: Given the system of equations(a)The tabluar form is the essentially the matrix form of the system of…

Q: Use the substitution z = e to turn t'a eciation below into a linear equation in z: dy =…

A: Given differential equation .We have to linearizing the differential equation using

Q: Find the absolute maxima. and minima of 2 the function f(x,y) = x²+ y² on the closed triangular…

A: We have to find the absolute maxima and absolute minima of the  on the closed triangular plate…

Q: Apply the first phase of the 2-phase simplex algorithm to the following linear pro- gramme giving…

A: The first phase of the 2-phase simplex algorithm reveals that the given linear program is…

Q: Find f'(x). f(x)=6e* +5x - Inx f'(x) = ☐

A: Given function: We have to find

Q: (a) Determine if the transformation defined by each of the following standard matrices is injective…

A: 1) NOT INJECTIVE/SURJECTIVE2)BIJECTIVE 3) NOT INJECTIVE/ SURJECTIVE4) SURJECTIVE Explanation:Step 1:…

Q: Use the Two-phase method to solve the following LPP: maximize subject to 919293 = -2 1 Z≥ 93 - 92 z…

A: We have given:Objective function:Maximize: P = 0q1 + 0q2 + 0q3 - 1zSubjected to:1q1 + 1q2 + 1q3 + 0z…

Q: Verify Stoke's theorem on surface given in the figure for the following function. Frsinde,+r² e = 1…

A: Given that a equation of surface as: We need to verify stokes theorem for this function. Note: The…

Q: Price-Supply Equation The number of bicycle. helmets a retail chain is willing to sell per week at a…

A: Given: The number of bicycle helmets sold per week at is given by where   and  that is, To find:…

Q: 2 2 2 Consider the hypocycloid with equation y 3+x3 10 = 103 -10 -5 5 5 -10' 5 10 What is the arc…

A: The required arc length is 60 unitsPlease find the attached file for details...Thank…

Q: AF'G'H' is a translation of AFGH. Write the translation rule. 104 -8- G H -6- 4 2 -10 -8 -6 -4 -2 0…

A: The objective is to find the translation rule.

Q: A demand loan for $10,516.65 with interest at 6.6% compounded annually is repaid after 4 years, 7…

A:

Q: Let L(y) = any)(x) + an−1(n−1)(x) ++ a₁y′(x) + ao y(x) where a0, a1, .,a,, are fixed constants.…

A:

Q: max 18x1 + 22x2 + 7x3 + 14x4 +9x5 s.t. 3x14x2 + 2x3 - 3x4 + x5 < −2 x1, x2, x3, x4, x5 = {0,1}

A: Given that max 18x1+22x2+7x3+14x4+9x5 such that 3x1−4x2+2x3−3x4+x5≤−2.

Q: Assume a company’s activity-based costing system includes three activities. The following…

A: The activity rate for the Setups activity can be calculated using the following formula:Activity…

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: Answer:Here's the differential equation for the amount of salt (y) within the tank after t…

Q: -Calculate the equation of the general plane that has a normal vector n and passes through the point…

A: We have given plane properties as shown in the figure below:To find the equation of a plane given…

Q: 히 dy Find dx • for the function y = 5X. 히 dx

A:

Q: The price of a commodity is a function of time, p(t), with p in dollars/lb and t in months. In the…

A: Graph of  on as shown below:Describe each point as shown below:For the critical point:For max/min:…

Q: Consider the Even-Odd game with the payoff function A(x, y) given by x\y 1 2 X = {1,2} Y = {1,2} A:…

A: (4)For the Even-Odd game X={1,2}, Y={1,2}, .Given the value of the game as .

Q: ii) xy' + 3y = 2x5, y(3) = 2

A: We have to solve the differential equation.

Q: : For u = -2xy + x, check the function for Harmonic and then find f(z).

A:

Q: Newton’s law of cooling states that the rate of change of the temperature of an object is…

A:

Q: For each of the following polynomials determine whether it is irreducible or not:X^2 − 3 in R[X];X^2…

A: Answer is given below :-Explanation:

Q: 3 π Find the area inside the curve defined by r = 2+2 sin (60). K|2 2 3 +m/~ 5 π Зл | 7π 4

A: Given, a polar equation: It is required to find the area enclosed by the curve defined by the given…

Q: Consider a bank with a strange rule for giving out interest. After the first year (and every other…

A: (a) Given that the bank gives the interest in the following manner:Increases money by 100% for every…

Q: Find the real and imaginary parts of the function f(z) = P.V. zz  (P.V.  stands for Principal Value)

A: Real part:Re[f(z)]=P.V.(rre-rθsin(θ))cos(rθcos(θ))Imaginary…

Q: Determine all minors and cofactors of [9 3 A = 5 9 9. M = 9. C = 9.

A:

Q: Show that in a group of people there must be two individuals that have the same number of friends…

A: We make a proof by contradiction and use the pigeonhole principle.

Q: The matrix has eigenvalues -2, 1, and 2. Find its eigenvectors. The eigenvalue -2 has associated…

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Q: 20 20 Find a basis for the plane x-2y+3z = 0 in R³. Then find a basis for the intersection of that…

A: Given an equation of plane .To find the basis for the plane in Here vectors of the given plane can…

Q: 14 15 10 Draw the circuit produced using the nearest neighbor algorithm starting at the vertex on…

A: We have to find a circuit produced using the nearest neighbor algorithm starting at the vertex on…

Q: Match each solution (in red) with its initial value problem. B▾ B 1. x' x = x, x(0) = = [6] C 2 x…

A:

Q: Let D be the region bounded by y = 1 − x2, y = 4 − x2, and the x- and y-axes. Evaluate the integral…

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Q: The data in the accompanying bar graph are from a random sample of 814 adults. The graph shows four…

A: We have a random sample of 814 adults.

Q: Given a graph G = (V,E) its complement G is defined to be (V,E) where E = V{2} \ E. That is: a graph…

A:

Q: i need the answer quickly

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Q: Determine if the scalar vector field is Lip schit Continuous on the indicated domain f(x) = ex, 2 =…

A: As f(x) = ex satisfies the Lipschitz condition with Lipschitz constant K = M on the domain (−∞,0).…

Q: maximize 2x1 + 3x2 +53 +24 subject to 1+2+223 +4≤2, 3x2+3x3 +34 6, 3x1+2x2+2x3 + x ≤7, 1, 2, 3, 4≥0

A: Objective function:Maximize: Subjected to constraints: