2. 7.5 3

Q: Suppose that $1,000 is invested at 8% interest compounded continuously. Use the formula A = Pert.  ...

A: For the formula, A=Pert , A is the final amount, P is the principal amount, t is the time period(in ...

Q: 1 1 1 Let (an) = 2' be sequence in R, d is discrete %3D then (x,) is Cauchy sequence True False

A: The real number sequence, an is said to be a Cauchy sequence, if for each ε>0 there is an n0∈N su...

Q: Find the root of f(x) = In(x/2) + 8x with Fixed Point Iteration method. %3D (주) 때 - In () and the st...

A: The iterative method can be used to calculate the roots of the equation. First, arrange the equation...

Q: anne and belle have a lot of common friends but the two of them are not on speaking terms. both want...

A: Given, Anne and Belle have a lot of common friends but the two of them are not on speaking terms. bo...

Q: 13. Find the inverse of the matrix * 1 2 3 A = -2 -2 5 4 1 1 5 1 A : 10 0 0 5 1 0 0 A : 1 O A 4 1 10...

A:

Q: If {a, x} is a basis of solutions of x?y" + axy' + by = 0, then a = (А) —2 (В) 2 (C) -3 (D) 3 (E) No...

A:

Q: A journalist reviewing various cellular phone services surveyed 200 customers and asked each one to ...

A: Given information can be put in tabular form as below:                                     Rankin...

Q: Which one of the following statement is correct? I. Ef2 Tmkj02r diverges. II. E C031 – kt )k converg...

A:

Q: The general solution of 4y"+4y' +y = 0 is ()%3D

A:

Q: Consider the following four collections {a} = C1 {a, b} = C2 {a, b, c} = C3 {a, b, c, d} = C4 %3D wh...

A: We have to solve given problem:

Q: Let W = {(a, b,c, d)[a - 5 b = 0} be a subspace of R. Then a basis for W O {(1,5,0,0),(0,0,1,0),(0,0...

A: Given that W=a,b,c,d| a-5b=0 is a subspace of ℝ4.

Q: 1) fi(x) = x6 – 7x² – 6 2) f2(x) = x5 + x³ – 6x² – 6 %3D

A: To find the roots of the function f(x) by bracketing method use the following formulae. If the root...

Q: 5a) Based on the following graph of y f (x), make a neat sketch of the graph of each indicated funct...

A: A function is a special case of a relation between the members of two sets. It can also be defined a...

Q: Playfair's axiom is a negation of Euclid's fifth postulate. True False

A:

Q: The container that holds the water for the football team is 2/3 full. After pouring out 4 gallons of...

A: The expression ab of x  can also be written as axb .

Q: a) Find the sequence of pseudorandom numbers generated by the linear congruential method with modulu...

A: Given that, the equation is xn+1=axn+c mod m and the values are m=9,a=65,c=2 and x0=5. Obtain the va...

Q: b) + x-2y dx 0 = 2x-y

A:

Q: 69. Evaluate log5 625.

A: Logarithm: Logarithm of a number is the power to which a fixed number should be raised to produce a ...

Q: Consider the function f(x,y) = 4x / x2+y2+4  a.) List all critical points of f(x,y). b.) List all ...

A: The critical points of the function can be calculated using the derivatives. For a function with 2 v...

Q: What is the product solution of the PDE-= 0? Bxe ay a Ae*+y b. Ae y C. Ae+y)* d. Aex-y)* e. None of ...

A: We have to solve given problem:

Q: It is impossible to construct triangles in Elliptic Geometry. True False

A: Euclid's fifth postulate is not applicable in Elliptic geometry. The distance between two points on ...

Q: 1. Determine the order, unknown function, and the indepen- dent variable of the following differenti...

A: The order of the differential equation is the highest order derivative occurring in the equation.

Q: Given a linear programming problem of the form Maximize z c"x Subject to Ax 0 with three variables r...

A:

Q: 4 Let X,) be a pankizlly oadered e For x,y € X deftre xLy eff x sy and x#y. Pucose the Fallowiag: xL...

A:

Q: If {a, x} is a basis of solutions of a?y" + axy' + by = 0, then a = (A) -2 (B) 2 (С) —3 (D) 3 (E) No...

A:

Q: 5x1 + 4x2 + X3 = 1 10x, + 9x2 + 4x3 = 3 10x, + 13x2 + 15x3 =-1 a) Check whether the system is consis...

A: Linear system of the form Ax=b where A is coefficient matrix and b is column vector. A linear system...

Q: For an election with four candidates (A, B, C, and D) we have the following preference schedule. How...

A: The number of votes required for the majority is calculated by a formula. The formula for the even n...

Q: y = 1 + ∫x0 2t(1+y2(t)) dt solve the integral above (show all working please).

A:

Q: There are 275 people In theater. The same number of people are seated in each of the 5 different sec...

A: Given that there are 275 peoples in the theatre and same number of peoples are seated in the each of...

Q: Which of the following equations is non homogeneous differential equation? O a. (y + Va² + y² )dæ = ...

A: DEFINITION:- A homogeneous system of linear equations is one in which all of the constant terms are ...

Q: 6. a. Draw an RLC circuit with a 0.3 N resistor, 0.1 H inductor, and 0.2 F capacitor connected in se...

A:

Q: Your friend drew the diagram to prove to you that two planes can intersect in exactly one point. Des...

A: A point is a zero-dimensional object. The point does not have a length. A line is obtained from mult...

Q: See below. Give the positive real answer. If : 2 1 (10 6 – x = 2 3 5 2x + 4 Find: x+y

A:

Q: a) Sketch the graphs of y= fx) = -2(x – 3)² + 2 and y= g(x) = 4x – 10 on the same set of axes. b) Ca...

A: For a function y=f(x), the set of real values of x for which f(x) is defined is called the domain of...

Q: What is the solution of given initial value problem? =y+sin t df2 da + cost dt de * (0) = 1, a' (0) ...

A:

Q: 4. Evaluate S. y² – 3z + 2 ds for each of the following curve C is the line segment from (1,0,4) to ...

A: We have ∫Cy2-3z+2 ds C is the line segment from 1,0,4 to 2,-1,1 Now, the parametric equation of the ...

Q: You are the manager of a camera store. Use the advertisement to answer the questions. (Round dollars...

A:

Q: c. 2+ = 3 с.

A:

Q: See below. (1 -1 3 7 3 -1 6. 3 | 4 5 -2 3 Given: A = 2 -1 1 1 0 0 -2 Find: |A|| 2) 51

A: We Know that Here given matrix is square matrix of size 6x6 and Upper triangular matrix i.e.a square...

Q: 3. If 2 is one of the root of the equation 4x3 + kx – 24 = 0, then the value of k is ? а. -4 b. 8 с....

A:

Q: Which of the following equations is variable separable? dy O a. dz y²+2xy O b. (3x? – y²)dæ – 2xydy ...

A: A separable differential equation can be written as dydx=fxgy. A first order Bernoulli ordinary diff...

Q: 1) fi(x) = x6 – 7x² – 6 2) f2(x) = x5 + x³ – 6x² – 6 - 6

A:

Q: >n Cnxn-2 n=4 26°C Güneşli

A:

Q: The letters A and B are topologically equivalent. True False

A: To determine the letters A and B are topologically equivalent or not     

Q: Which of the following equations is non homogeneous differential equation? O a. (x² – 2y²)dx + 2xydy...

A:

Q: 4. The Margan Furniture makes two products: tables and chairs, which must be processed through assem...

A: Let x1 denotes the number of tables produced per production period and x2 denotes the number of chai...

Q: 4. Use Newton's method to approximate a root of 4x² -e* –e* =0 which is accurate to within 10*. Use ...

A:

Q: 7. If A is an upper triangular matrix and B is a lower triangular matrix, then ((A")-1 – 2B)-1 is : ...

A:

Q: What is the solution of given initial value problem? = y +sin t df da + cost dt a (0) = 1, a (0) = 0...

A: We will find out the required solution of given initial value problem.

Q: 13) Identify the terms in the master equation that we used, which is given beiow, in our linear leas...

A: Assume the values of each matrix. Now simply to determine the value of a using the matrix multiplica...

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.