general
Q: For the linear transformation T: R2 → R² given by [a -b' A = a find a and b such that T(4, 3) = (5, ...
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Q: Guen the Integral So ze? de xe?2 » Approninare the letergral cemng the Trape zoid Rule tHo 12 Ee (1....
A: Given integral is ∫01xe2xdx
Q: 3.) Simplify: -7x – 2 x + 18y – 21y + 3x
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Q: Find u x v. u =j + 4k, v = 2i - k Show that u x v is orthogonal to both u and v. (u x v) • u = (u x ...
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Q: How would you graph one period of f(x)=2cot(1/4x) on paper?
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Q: Given the graph below: A в D E F H Which of the following are cycles in this graph? Select all that ...
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Q: Assume that each of the n trials is independent and that p is the probability of success on a given ...
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Q: A card is drawn at random from a regular playing card deck of 52 cards. Find the probability that a ...
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Q: on a curve is said to be an extremum if it is a local minimum or a local A point maximum. The number...
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Q: Let G be a finite group. Let x E G and let G be the conjugacy class of r. Prove that |#C| < |[G, G]]...
A: Given G be a finite group. Let x∈G. Define: xG=gxg-1: g∈G Let G:G=m. Define a map π:G→GG:G defined a...
Q: Find the length of the vector. v = (0, 2) ||v| = %3D
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Q: Let f(x) be a polynomial and g(x) = f '(x) be its derivative. If the degree of (f(x) + f(-x)) is 10,...
A: Introduction :
Q: In Exercises 1–14, to establish a big-O relationship, find wit- nesses C and k such that [f(x)| k. ...
A: We are entitled to solve only one question at a time and up to 3 sub-parts only. To find- Determine ...
Q: ) Which point best represents the location of -5.25? A -6 -5
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Q: Find the maximum value of the function f(x, y, z) = x^2 + y^2 + z^2 with the condition z = x + y and...
A: To find the maximum of the below function. fx,y,z=x2+y2+z2 Subject to below constraints: z=x+yx24+y2...
Q: Evaluate the expression.
A: the given expression is 9C4 the formula for nCr=n!r!n-r! sustitute the values
Q: Compute the following limits. 1. lim nsin(2ren!). Hint: use Taylor expansion with the Lagrange Remai...
A: The limit is equal to 2π.
Q: Which of the following is the general solution of the difeerential equation d²y 640Y - 16 +y=0? dx d...
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Q: Find u · v, v · v, ||u||², (u · v)v, and u · (5v). u = (2, –3), v = (4, 3) (a) u• V (b) V • V (c) (d...
A: Given vectors, u = (2,-3) and v = (4,3) To find: u.v, v.v, ||u||2, (u.v)v, u.(5v) calculations are g...
Q: Find a least-squares solution of Ax = b by (a) constructing the normal equations for x and (b) solvi...
A: A least-squares solution minimizes the sum of the squares of the differences between the entries of ...
Q: If A and B are similar, then there exists a matrix P such that B = PAP. Use this fact to fi -2 2 -3 ...
A: Here we have to find B5 , We have to find if A and B are similar or not, if A and B are similar th...
Q: I don't understand why (-2a^2)/i=i2a^2. Can you please explain it to. Thank you
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Q: Calculate the area of the parallelogram with the given vertices: (-1,-2), (2,7), (7,2), (10,11).
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Q: Consider the following. Tis the reflection in the y-axis in R2: T(x, y)= (-x, y), v = (3,-5). (a) Fi...
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Q: Preimage point C has coordinates C (2, -4). First, translate Point C 4 units left and 6 units up, cr...
A: Given that the point C has coordinates C(2,-4).
Q: If B is a vector in an inner product space, if T is a linear transformation on that space, ond if f(...
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Q: | sin xdx =“-1 2 -1 Prove
A: Introduction :
Q: Compute for matrix A. matA = matB x matC * [1 B = 2 [3 C -5. 4
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Q: 1 point) In the early 1960s, radioactive strontium-90 was released during atmospheric testing of nuc...
A: rate of decay in radio active element is proportional to amount present
Q: How would you graph one period of y=3sec(2x-π) on paper?
A: Given function is y=3sec2x-π
Q: There are 1978 clubs. Fach club has 40 members. It is ONon that every patr of these cluubs has exact...
A: Since every pair has a common member so that member will belongs to every club.
Q: How would you graph one period of y=1/3tan(x-π) on paper?
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Q: Let the dihedral group D2n be given by elements p of order n and o of order 2 where op = plo. (a) Sh...
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Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern ...
A: Let x = number of sections of Ancient History, let y = number of sections of Medieval History, let z...
Q: 3. The survival of two species depends on their mutual cooperation. For instance, a species of bee t...
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Q: Protein Food Type Fat (units) (units) A 20 15 10 20 Minimize Z = P2x + P4y
A: (a) The given program model is Minimize Z= 2x+4ysubject to 20x+10y≥50015x+20y≥300x,y≥0 (b) the deci...
Q: Find the value of y for the given differential equation if the value of the arbitrary constants is 0...
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Q: Edit t2 Consider the vectors x(t) = ) and x (t) 6. 4t (a) Compute the Wronskian of x) and x(2). W = ...
A: We have to find P(t) such that X'=P(t)X.
Q: O -5 4 O 17 10 a) ker(T) (If there are an infinite number of solutions use t as your parameter.) b) ...
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Q: Suppose we flip a fair coin 50 times. What upper bound does Chebyshev's Theorem give for the probabi...
A: Chebyshev's Theorem estimates the minimum proportion of observations that fall within a specified nu...
Q: We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 differe...
A: Given that, there are 16 distinct digits that can be used to form numbers: (0,1,....9, A, B, C, D, E...
Q: Assume that $165 is invested into an account earning interest at a 7.2% annual rate, compounded cont...
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Q: Find the distance between the points 2+3i and 5 -2i in the complex plane. (Round your answer two dec...
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Q: A ball is drawn randomly from a jar that contains 4 red balls, 5 white balls, and 8 yellow ball. Fin...
A: We will find out the required probability.
Q: Find the angle 0 between the vectors. IT sin 3 (c0 , sin ) u = ( cos 3 4 4 radians II
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Q: 2R then the constants R TCX If f(x) Rsin .2 S,f' and f(x)dx and S are respectively.
A: Introduction :Here we have asked to find the value of R and S
Q: Assume that $106 is invested into an account earning interest at a 3.6% annual rate, compounded cont...
A: The compounded interest continuously on an amount is obtained as P(t)=P0ert Where, P(t)=Accrued am...
Q: 3) Let D = {(x, y) E R² | 0 < x² + y² < 4}. Give all boundary points of D. Is D open, closed or boun...
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Q: 1. (a) Let F(t) = (2 sin(3t), 2 cos(3t)) where t e[ o Determine F(증), 지중)지즐)지품) (ii) Let C = {7(t) :...
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Q: at was the markup as a percentage of the selling price? % o two decimal places
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- If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.Solve the inhomogeneous 1st order equationUx − Ut = costU(x, 0) = 0.Use variation of parameter to solve the initial value problem