A certain tax policy states that the first $65,000 of income is taxed at 7.25% and any income above $65,000 is taxed at 13.5%. 14 a. Write a function that models the tax policy. b. Calculate the tax on $135,000.

Q: 2.4. If a7 on [a, b], prove that we have а) f da = f da + f dz, (a < c < b), b) f + g) da < | f da +...

A: We will use the basic knowledge of Riemann sums and the theory of integration of real-valued functio...

Q: Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to th...

A: The parametric equation of a line passing through x0,y0,z0 and parallel to vector r→=a,b,c is given ...

Q: Q4 Give an example of a vector space V over a field F, and of a linear transformation T :V → V that ...

A:

Q: 11. Explain why odd-degree polynomial functions can have only local maximums and minimums, but even ...

A: Solutions 

Q: 8. Suppose that S = {v1, 02, 03} is a set of linearly independent vectors in R. Answer the following...

A: (a) General basis for ℝ4 is given by 1,0,0,0, 0,1,0,0,0,0,1,0,0,0,0,1. Let v1→=1,0,0,0, v2→=0,1,0,0,...

Q: a = 1 mod n then (a, n) = 1 b) then a = b. Show that G is abelian. : Let G be a group satisfying tha...

A:

Q: let E be a set that baunded. Prove that Inf E = Sup -E) where R, XE E y

A: To prove for a buonded set E inf(E) = -sup(-E) , where -E = {-x, x belongs to E} , we first prove th...

Q: -3 4 0 3 2 1 -1 3 о 1 -1 0 0 0 5 0 0 0 0 4 der the matrix A = 1 3 8. 1.

A: In this question, the following conditions are checked. Lower triangular matrix. Diagonalizable. Sy...

Q: Q4) Suppose there is a decrease in the demand for investment, and increase in saving in an economy. ...

A: As there is decrease in the investment the real rate of interest increases because the savings in an...

Q: if0<xs1 Px) = if 1<xs 2 #2<xs3 if 3 <xs 3.5 Sketch a graph of this function. 1.20- 1.20 1.00 1.00 0....

A: Given- The 2014 domestic postage rate for first-class letters weighting 3.5 oz or less is 49 cents f...

Q: How many 6 digit numbers are divisible by 5? Assume repetition is allowed. 12000 180000 60000 200000

A:

Q: B. Determine if the following mappings are linear transformations. Explain your answer.

A:

Q: Graph |x – 3| > 2 on the number line.

A:

Q: 7. When solving systems of equations there are 3 questions we ask to help determine which equation t...

A: Options 1,2,3

Q: X -1

A:

Q: Let a be the anqle between the vectors u=(3,0,4) and v=(4,0,3). Then * O cos(d) = 24/25 O None of th...

A: Introduction: The dot product of two vectors always produces a scalar quantity. When two vectors mak...

Q: If s(t) = 6t3 – 9t2 – 36t + 7, represent the position of a particle traveling along a horizontal lin...

A:

Q: 6. The diagram below shows a rectangle inscribed in a right triangle having a base of 12m and a heig...

A:

Q: or which the fu E, where z = x+ W

A:

Q: If tanh '() = 1- 12/3, then z = %3D In + 종 In O In In

A: As per the question we have to solve the complex equation and find the exact value of the complex nu...

Q: Errors associated with both calculations and measurements can be characterized with regard to the fo...

A: Correct Anst is Prediction.

Q: Solve each of the following systems by graphing and determine the solution/s: 1. 4. Зх — у 3D 2 x + ...

A:

Q: Newton -Raphson Method is applicable to the solution of O Algebraic equations only O Transcendental ...

A: We have to find when Newton-Raphson Method applicable.

Q: Let f, g : R → R be continuous at 0. Using only the e – 8 property(Ross, Theorem 17.2), prove that t...

A:

Q: 2x+3 Find the domain of the function H(x)= %3D x' - 4x |

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Using the graph,determine the coordinates of the y-intercept of parabola

A: Introduction: A parabola is a conic section whose eccentricity is less than 1. A parabola is either ...

Q: Refer to the System of Linear Equations below. 4x1 - X2- X3 = 3 -2x1 +6x2 +X3 = 9 -X1 +x2 + 7x3 = -6...

A: Note that you have not indicated what method is to be chosen for iteration, so I am choosing the bes...

Q: 1. Show that if & is a function from a nonempty compact metric space X to itself such that d(@(x), P...

A:

Q: Find the quadratic polynomial whose graph passes through the points (1, 18), (2, 35), (3, 60). NOTE:...

A: To find  The quadratic polynomial whose graph passes through the given points 

Q: Theorom:- Let f-3GDCI); XoEIthen O TfaeR then a fisdefferantible at (a P) (xo)= QP(xo) D ft gisdiffe...

A:

Q: Prove that if AUB= A is true, then AN B = B is also true, AND CONVERSELY.

A: We have to prove the given statement.

Q: Evaluate the integral of the two-form w = (x8 + 2y) dx A dy over the region D bounded by the curves ...

A:

Q: The acceleration of a particle as it moves along a straight line is given by a-21 -1. Ifs 1 and y- 2...

A: Given the acceleration of a particle as it moves along a straight line is given by a=2t-1 m/s2, If s...

Q: (b) = R°, W is the set of all (x1, 22, 13) such that 2xi = -x2+ X3. (c) V = R³, W is the set of all ...

A:

Q: Given that ?(?) = 7 . (a) Find the power set of the given set

A:

Q: e set of eigen values of qual to the set of eigen

A:

Q: Carlos deposits $600 into an account that pays simple interest at a rate of 2% per year. How much in...

A:

Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: (c) Are the vectors v1 = (3,1,2, 1), i2 = (-1,0,1,0), iz = (3,0,0,3), T4 = (5, –2,0, 4) linearly ind...

A:

Q: WRITTEN WORKS #1 PERMUTATIONS A. List down all possible permutations in each of the following items ...

A: We have to find all the possible permutations of given items 1.S,E,T 2.T,E,N 3.T,E,R,M

Q: 4. Evaluate the determinant of the matrix by using a convenient column or row. (a) -1 3 0 0 1 0 3 1 ...

A:

Q: Example 1 Jasjeet has made a scale drawing of a vegetable garden she plans to make in her backyard. ...

A:

Q: 1. FILL IN THE BLANKS Given 7 6 8 7 2 0 4 A = B 05 -3 determine whether ABBT + 2A is defined and com...

A:

Q: Considering the system of linear equation below, What is the %ER for x2 in the 2nd iteration? if the...

A: Apply the following steps, to solve the given system of equations by Gauss-Seidel method. Rearrange...

Q: Evaluate: 5! ÷ 2! Your answer

A: The factorial of a positive integer number n is the product of the integer number 1 to n. I, e. n! =...

Q: Match the following using the code 1.2.34 1. Fixed-Point Iteration Integration 2. Laplace Transform ...

A: 1.Fixed point iteration method is used to find roots of an equation. I.e, root finding method.     2...

Q: Q16: Is the differential equation (cos x+ In y) dx + dy 0 exact? %3D

A: Let us consider the given equation Mdx+Ndy=0 The equation is said to be exact if ∂M∂y=∂N∂x The solut...

Q: .Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate ea...

A: Solution a: Given data is x 8.1 8.3 8.6 8.7 f(x) 16.94410 17.56492 18.50515 18.82091 For one...

Q: Which of the following is not equal to P(50, 3)? O3 Ps0 O 50 P3 50! 47! 50 x 49 x 48

A:

Q: 7. Circle all the expre-

A: INTRODUCTION: To make it less hard or difficult; to make it simpler or easier To condense an algebra...