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Q: 6. Let g: X→→ Y and f: Y→ Z be functions. If go f is one-to-one, then f is one-to-one.

A: The given problem is to show for the given functions g and f , if gof is one to one then f is one to…

Q: Find the answer and simplify. If possible, write the answer in its rectangular form. log(3 − 3√3i)

A: Given, log3-33i   We have to find the answer and simplify.

Q: bill got 52% correct answers on an 80 question test. what percent of the questions did he answer…

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Q: is given by P(q) = −q³+380q² - 10g - 490 where q denotes how many hundreds of units of device model…

A: Monthly profit (in dollars) from the production and sale of device is  Pq=-q3+380q2-10q-490 where q…

Q: [0 (a) Determine the orthogonal complement of W. (b) What is the projection of y onto W? (c) Write y…

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

Q: Consider the curve y²x - yx² = 30 for x>0, y>0. Find a second-order Taylor approximation to this…

A: Curve: y2x-yx2=30 for x>0,y> At point x=3

Q: Let ● A = . 3 5 2 . 00 0 12 0 6 0 -1 L-6 3 1 0 a. Find the determinant of A using cofactor expansion…

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Q: 4. (a) Use the Method of Variation of Parameters to find the general solution y(t) of the…

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Q: Consider the sets A = {1, 2, 3, 4} and B = {a, b, c, d}, and the relations σ = {(1, b), (2, c), (3,…

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Q: Miscellaneous volumes Use a triple integral to compute the volume of the following region. The…

A: Given: Vertices of parallelepiped0, 0 ,0, 2, 0, 0, 0, 2, 0,2, 2, 0, 0, 1,1, 2, 1, 1 0, 3, 1 and (2,…

Q: Given a metric space M with metric d , verify that any ε -ball is an open set.

A: Let B(x,ε) be any ε -ball centered at x, for some x∈M. Let y∈B(x,ε). Then d(x,y)<ε. So…

Q: A function f, with a differentiable inverse function F, is such that f'(−1) = 1, f(-1) = 2 and f(1)…

A: Given that a function f with a differentiable inverse F, is such that        f'(-1)=1, f(-1)=2, and…

Q: Is this orthonormal or just orthogonal? I thought you needed to normalize the vectors (i.e. divide…

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Q: 3.] Find the polasz form of the complex number √3 +i Z

A: Given that the complex number is  z= √3 + i  We have to calculate the polar form of this complex…

Q: The volume of the solid bounded below by the xy-plane, on the sides by p=1, and above by p=- = 5,4…

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Q: Miley rides her wrecking ball during leisure. On a Wednesday, she swings an initial arc distance of…

A: Initial swing : 25 m With each succeeding swing, she travels along an arc that is three quarter as…

Q: Σ +1 n=1 (-1)*-1(x-1)" nat

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Q: £.(+)... - for TS tso 2 +² for os t.......

A: ft=0for -π<t<0t2for     0<t<π

Q: assume that each sequence converges and findits limit. a1 = 0, an+1 = √(8 + 2an)

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Q: Determine the exact measure(s) of the angle 0, where 0≤0≤2n. 10 sec 0+2=-18 a test dock b. sin 20+…

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Q: Show that a set A in ℝ2 is open in the Euclidean metric ⇔ it is open in the max metric. There are…

A: To Show: A set A in ℝ2 is open in the Euclidean metric ⇔ it is open in the max metric.

Q: Find 3 a whose polynomial nonzero roots as monic polynomial in R[X] of degree and 4ti. Write the…

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Q: Show that a set A in ℝ2 is open in the Euclidean metric ⇔ it is open in the max metric. Hint: As…

A: Euclidean metric dEuc((a,b),(p,q))=√((a-p)2+(b-q)2) Maximum metric  dmax((a,b),(p,q))=max{|a-p| ,…

Q: Nathan will be working betwen 30 to 39 hours inclusive this week, which is 3 more than triple what…

A: Time is defined as the measurable period during which any activity is completed or occurs. Time is…

Q: Consider the second-order system of differential equations d²x dt² d'y dt2 =x+3y, The coefficient…

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Q: Consider the competing species model x' = x(19-x-3y), a) Find the equilibrium at which both species…

A: Given: x'=x19-x-3y, y'=y13-2x-y To find: (a) (i) Find an equilibrium point (p, q) (ii) The trace and…

Q: ow many conjugacy A5 have ? Define characters of A5 breifly .

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Q: +88 GOZZYTHAI LI... ? Help

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Q: .Q... £.(+)... t for 3 t... [² t. far as £ £3. 4*(+) t Th 冊 -3 3 2P=6

A: The given problem is to find the Fourier series representation of the given periodic function with…

Q: Let E={(r.0.2) : Os es z, 05 zs 1, 9√/25 rs 9). Compute dv.

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Q: -nha = aFor a in S, we denote it's ith com ponen cival ently, we have (al; : : ; an) = is will…

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Q: = 3 Consider the equation ï + ax + bx = 0 when b a², so that the characteristic equation has a…

A: Given Data: Let us consider the given equation is x..+ax.+bx=0 when b=14a2. Prove that:  This is a…

Q: o. Evaluate the integral fo+sinz dz, where C is any simple closed contour taken in the positive…

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Q: The area, A, of an isosceles right triangle varies directly as the square of the length of its leg,…

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Q: Use the cos(x+y) formula and unit circle angles to find the exact value if cos(105)

A: We know that                Cos(x+y)=Cos(x)Cos(y)-sin(x)sin(y) Here we have to find exact value of…

Q: By showing that any sequence in A ∪ L has the same limit as some sequence in A, prove that A ⊆ A ∪…

A: Given That : Let A be a set and L be a set of accumulation points of A. To Show : Any sequence in…

Q: 1. Consider the initial value problem dy dt y-1 t+3' for points close to the initial point (to, yo)…

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Q: Let A be the set of letters in the English alphabet with the usual order. Define ⟨A2, ≤⟩ such that…

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Q: Prove that the Fourier series of the function f(x)=x2 converges uniformly to f(x) on the interval…

A: We are given the function f(x) = x2 .  Our aim is to show that the Fourier series of function f(x)…

Q: rm an A. P. of common difference 2 and the last (2n + 1) terms are in common ratio 1/2. If the…

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Q: 1) Let R be a commutative division ring. Then R[x] is a field. 2) Let R be a unique factorization…

A: We apply mod p test for 5th statement .

Q: where is sketch??

A: ∫01∫04-4x2∫2x4-zdydzdx

Q: 4. How would the average rate of change over years 1 to 5 and years 6 to 10 be affected if the…

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Q: Looking for a example problem not a answer to the problem that is given.

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Q: After following the Gaussian elimination procedure, a linear system is reduced to the following…

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Q: For items 1 to 3, Consider the sets A = {1,2,3,4} and B = {a, b, c, d), and the relations o = {(1,…

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Q: What is 18/3 as a percent ?

A: PERCENT MEANS PARTS PER HUNDRED. SO, WE HAVE TO CONVERT 183 INTO  A FRACTION WHOSE DENOMINATOR IS…

Q: Give an equation for a cosine function that has a maximum at (7.8), followed immediately by another…

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Q: Consider the vector-valued function Ŕ(t) with Ả(1) = (1, 2, −1) and Ř'(t) = 12 't' √t'

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Q: Prove that if A and B are both countably infinite sets then A × B is also a countably infinite set.

A: