Q-4: Define the mapping T: R³ → R² by T ([] = [ + ] - a) Show that 7' is a linear transformation. Find the null space N(T). b)

Q: 4. If p = a + b + c a. Determine the range of g(x) = e b. If aa = bb = c . -12x-11 ab log.(ab) _ bc…

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Q: Round each answer to 2 decimal places. You deposit $7000 in an account earning 8% interest…

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Q: how much is 64.40 in dimes

A: 1 dollar = 10 dimes

Q: . Let Zg = {0,1,2,3,4,5,6,7}. Denote by + the operation "addition modulo 8" where a +8 b is the…

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Q: A) |2x² + 5x + 1 = 1 B) 12/1 x-1 x+1 C) 5x + | ≥ 1

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Q: 2-5: Let A = a) b) 0-11 0 -1 1 -1 0 -1. Show that A has eigenvalues λ = 0,-1,-2. Find an eigenvector…

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Q: Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 5, (v,…

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Q: Let S be the following relation on ℂ: S = {(x, y) ∈ ℂ2 : y − x is real}. Prove that S is an…

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Q: Directions: Expand the following binomials using binomial theorem. 1. (4p + 2q)8

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Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.

Q: 3. How many 3-digit numbers are there that are divisible either by 5, 7 or 9?

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Q: Solve for the unknown round decimal 200 and percent to the nearest tense  what is the rate of change…

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Q: Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system…

A: The solution can be seen in the below steps.

Q: Prove the following by using induction: 1(1!) + 2(2!) + 3(3!) +...... + n(n!) = (n + 1)! - 1, for n…

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Q: Let f(x)= -3x-1 and g(x)=x^2 -2   Find (f•g)(-7)

A: Given : f(x)=-3x-1g(x)=x2-2   To Find : (f.g)(-7)

Q: For a given geometric sequence, the 1st term, a₁, is equal to 11 9 your answer as a fraction. and…

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Q: Sketch 0 = - Continue 2π 3 in standard position. Drag to show the angle. < x5 ?

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Q: mat do you call a group that is commutative?

A: A detailed solution is given below.

Q: If the generator polynomial p(x)=x^7 + x^5 + x^2+1 is divisible by x+1. True O False C FrontEmale…

A: The generator polynomial p(x)=x7+x5+x2+1 is divisible by x+1

Q: What is the Borda score of MANNY? (A) 69 (B) 96 86 70 Number of Votes 1st Rank 2nd Rank 3rd Rank 14…

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Q: Solve the quadratic equation by completing the square. x² +11x-5=0 Choose the appropriate process…

A: We have to solve above Quadratic equations

Q: If m and n are two possible times when the hour and minute hands of the clock will be equidistant…

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Q: Find the inverse of g (2) of g (x) = { x + ²

A: The given function is: g(x)=12x+32

Q: In the formula, shown below, PMT= -nt7 In the formula, shown above, is the regular payment amount…

A: In the given formula  PMT = monthly payment of a loan P = loan amount r = interest rate t = time in…

Q: (a) An athlete whose event is the shot put releases the shot. When the shot is released at an angle…

A: Given, y=-0.01 x^2+0.4 x+ 5.9

Q: (a) Define the following terms: (i) Cartesian product of two sets; (ii) relation on a set X. (b)…

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Q: Coco has been making a lot of progress at the gym recently! On Monday, she could bench press 50 kg.…

A: Given problem:- Coco has been making a lot of progress at the gym recently! On Monday, she could…

Q: CONIC SECTIONS given the conic section, find the required elements 16x2-25y2-96x+50y-281=0 find…

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Q: Consider the system 6x + 3y = 21 and y=-2x + 7. Will this system have one solution, no solutions or…

A: Given :6x+3y=21 y=-2x+7

Q: Let M₂ (R) be the set of all 2 x 2 matrices over R. Let + denote the usual addition of matrices and…

A: Explained below

Q: Maximize R = 2x + 3y Subject to: 2x – y <= 10 (constraint 1) x + 3y <= 6 (constraint 2) x,y ≥ 0 1.…

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Q: 1+x² Find the area of the region bounded by the curve y=- and the lines y = 0, y = x,x=2. 2x2

A: Follow the procedure given below.

Q: 43 – 6(–3E) – 5E simplified

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Q: Consider a triangle ABC like the one below. Suppose that c=51, a=59, and C=30°. (The figure is not…

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Q: Write the equation of a sine or cosine function to describe the graph. 10 3- 2 8x 3 H 2 3. w|#| 41…

A: Formula of cosine cureve is f(x) = acos(bx) Where a is amplitude

Q: 1 1(2) + 1 + 2 (3) 1 1 + 3(4) 4(5) +...+ 1 n(n+1) = 1-¹ if n E N. n+1

A: Explanation of the answer is as follows

Q: Discount ₱16,400 for 5 years and 3 months at 9 7/8%simple discount.

A: We have to discount the given amount.

Q: Graph the following function over the indicated interval. y = −5+ e ¹+x; [-5,2]

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Q: Given matrix A A.O x-2 0 1 0 X 3 Find the value of x if the determinant of A is zero? 2 2 x+2] B. 2…

A: We have to choose correct option

Q: 1.4: An eigenvector for value of λ = -2 for the matrix a) H b) © H H e) None of the above is

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Q: dw ду Find OW at the point (w, x, y, z) = (9,3,1,1) if w = x²y² + yz - z³ and x² + y² + z² = 11. dy…

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Q: polynomial expression is shown below. ex(4x3 + 8x2 - 12) - (x2 + 4)(x2 + 7) The expression is…

A: Topic = Algebra e =9

Q: 3 12. Solve the equation-x+6=9. 7 a. 7 b. 12/7 C. -7 d. 72/3

A: Rearrange the equation and then separate x and other digit.

Q: The doubling period of a bateria population is 1515 minutes. At time t=70 minutes, the baterial…

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Q: (e) log, (x - 1) + log, 3 = log a

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Q: Solve the given equation for x. -3x-x² =9-4 9

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Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 5 A 3 sine…

A: A detailed solution is given below.

Q: |4 -7 9 6 2 7 3 6 -3 0 7 4 1 0 3 -1

A: The given matrix  A= 4 -7 9 1      6 2 7 0      3 6 -3 3      0 7 4 -1.

Q: 1.) Your 3 year investment of $20,000 received 5.2% interested compounded semi annually. What is…

A: Note : according to our guiflines i can solve only first, please reroute the remaining questions.…

Q: Describe verbally the transformations that can be used to obtain the graph of g from the graph of f.…

A: Explained below