The given T is a linear transformation from R² into R2. Show that T is invertible and find a formula for T T(X1 ,X2) = (3x1 - 8×2, - 3x, + 5x2) %3D ... To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is -9 (Simplify your answer.) - 1 (Type an ordered pair. Type an expression using x, and x2 as the variables.)

Q: Solve the simultaneous equations. You must show all your working. y = 2 2х — у 3D 1

A: The equations that share common variables are called the simultaneous equations. The simultaneous eq...

Q: 1. Classify each of the following equations as linear or nonlinear. If the equation is linear, deter...

A: We have to classify the given differential equation as linear or non-linear. Then we will determine ...

Q: Question 19 Find the two square roots of 4i. A v2 - v2i and -v2 - V2i B v2 + v2i and v2 - V2i (c) -v...

A:

Q: Solution of dy/dx + 2xy = y is (A) y = ce* B y = ce -? © y=ce*²_ - x (D y=ce*-x2

A:

Q: A yield sign is an equilateral triangle with a side length of 36 inches. What is the height (h) of t...

A: All sides of an equilateral triangle are equal. The relation between the side (a) and the height (h)...

Q: 3. x(y-x) y (y+x). Ans. 2-log xy = a dx

A: 3. To solve the given differential equation: x(y-x)dydx=y(y+x)

Q: a of the region bounded by y=4x-x^2 and y=x

A: the area bounded by two curves f(x) and g(x) is given by ∫abf(x)-g(x)dx now  y=4x-x2 and y=x2-2x the...

Q: Solve the D.E. 3(3x? + y²) dx - 2xy dy = 0 (A x= c(x² + 9y²) B x= c(x2 + 3y3) © x = c(9x² + y²) D x ...

A:

Q: reply. Please type

A: The given formula is re-written as,

Q: What properties of Fourier Transform best describe the equation below? FS(-x)](@) = (-o) %3D O Linea...

A:

Q: 5. Set up and solve a linear Diophantine equation to find every combination of 24 coins consisting o...

A: This is a problem of Number tHeory, discrete math.

Q: P(1,2) in the dire 3. Then the deriv

A: Derivative of f(x,y) is The derivative of f(x,y) at P0(1,2)  is,

Q: answer part 2 only

A: We will use basic knowledge of Boolean algebra and logic to answer this question.   Since you have e...

Q: Solve the linear congruence x3 – 7x² – 48x + 18 = 0 ( mod 54).

A: Please note that, As you have asked Answer number 10 , so I answered only Number (10).  

Q: The scatter plot shows the time spent texting, x, and the time spent exercising, y, by each of 23 st...

A: from the scatter plot , we  approximate  that the line passing through the points 0,10 , 10,0 now, m...

Q: Advanced Math Question

A: Here, we have to find the value of x from the given figure. Clearly, O is the center of the given ci...

Q: Problem I. Given z, = 3el(76), z2 = 2ei/4), find: %3D 1. Z, + Z2 2. Z1 - Z2 3. Z,Z2

A: The given questions are related to complex numbers the solution is explained below.

Q: 3) Simplify the expression. State what value(s) of the variable must be excluded from the answer.

A: The function in the form a0xn+a1n-1+···+an is called an algebraic function. The expression in the fo...

Q: Consider the population of fish in a lake, and that people commonly fish in this lake. At a given le...

A: The differential equation given is as follows: dydt=r1-yKy-Ey..........................................

Q: Find the 5™ roots of the complex number [(2+x) – 5i] , where x = last digit of your ID Number.

A: To find- Find the 5th roots of the complex number 2 + x - 5i, where x = 2

Q: Solve the following: 1. (x-2iy)-(y-ix)=2+i, x=?; y=? Express in Polar Form: 1. 3+i4 2. -3+i4

A:

Q: dy What is the general solution to the differential equation = (1+ y²)e*? dx

A:

Q: The school that Huong goes to is selling tickets to a spring musical. On the first day of ticket sal...

A: To solve the system of the two equation a1x+b1y=c1a2x+b2y=c2 Use elimination method  Consider the e...

Q: + k?y = 0 ... What type of D.E. is this? Linear, Ordinary B Nonlinear, Partial Linear, Partial Nonli...

A: The given differential equation is  d2ydx2+k2y=0 ......(1)Defination : General form of a 2nd order l...

Q: Using Laplace Transform, solve the following differential equation " -9y = ebt, y(0) = 0, y' (0) = –...

A: Here we have, y''-9y=e-5t    and     y(0)=0,  y'(0)=-2   Basic rules of Laplace are, L{ea·t}=1s-a,  ...

Q: e slope

A: Introduction: The formula for the slope of the line passing from two points x1,y1 and (x2,y2) is giv...

Q: 3. For the numbers 360 and 70, use the Euclidean Algorithm (augmented or otherwise) to find the foll...

A:

Q: Determine a region of the xy-plane for which the glven differentlal equation would have a unique sol...

A:

Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0...

A:

Q: Solve the given differential equations. a) y'''-4y''+4y'=0 b) y''-4y'+4y=4-e2x

A:

Q: Obtain the general solution of the differential equation (x2 + y") dx + (x2 - xy) dy = 0 (x+y^2 = cx...

A:

Q: Find the perimeter of the rectangle with vertices R (−4, 1), E (−1, 4), C (5, −2), and Y (2, −5).  R...

A: Perimeter of Rectangle = RE + EC + CY + RY  =4-12+-1+42+5+12+(-2-4)2+(5-2)2+(-2+5)2+(2+4)2+(-5-1=18+...

Q: Region A

A: Given curve as,

Q: Factor 14d - 6. Write your answer as a product with a whole number greater than 1. (D) Submit

A: To write as a product with a whole number greater than 1.

Q: Determine the square root of 155 by finding the numerical solution of the equation x^2 - 155 = 0. Us...

A:

Q: dy What is the general solution to the differential equation x = x + y? dx y = x In|x|+ x + C y = x2...

A: The given problem is to solve the given differential equation, we can use substitution method to sol...

Q: Question 6 5 12 B = |1 11 and C = |-9 1 -5 |. Which of the following 14 6 -11 [16 -7 4 -3 13 7 10 0 ...

A:

Q: A force F, of magnitude 6.00 units acts on an object at the ori- gin in a direction 0 = 30.0° above ...

A: We can solve this using definition of resultant

Q: (a) V (b

A: Let b represent the number of books , The cost of each book is $4 therefore total cost of b books is...

Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?; b=...

A:

Q: Use Euler's Method with a step size At = 0.1 to estimate y(0.5) given that (x(0), y(0))= (1,1) and d...

A:

Q: Define the following sets e and s as follows: e = {Devin, Elsa, Floyd}, s = {Software 1, Software 2,...

A:

Q: Suppose that a and b are integers. a ≡ 7 (mod 13) and b ≡ 9 (mod 13). Find the integer c such that 0...

A: The given problem is to find the modular values of c for the given conditions with given integers a ...

Q: 2 dy + y? = ty %3D dt

A: We have to find the general solution of the given differential equation. We can rewrite the differen...

Q: a0

A: a) The given recurrence relation is: an+2 = -4n+1 + 5an The relation can be written as follows: an+2...

Q: 15. A bowl contains 13 red balls, 17 green balls and 10 blue balls. A woman selects balls at random ...

A:

Q: Question 6 Evaluate 30 Z 80° 10 Z 50° A) 34130° B 3230° 202130° D) 20230°

A: The given problem is to evaluate and simplify the given complex expression and express the final ans...

Q: II. Judge, by constructing truth tables, whether each of the following is a tautology, contradiction...

A:

Q: QUESTION 13 Let ma and n be integers. By mZ + nZ is meant {a + ba EmZ,bEnZ} of all the sums of an el...

A:

Q: F(x) = x - 2e^-x A.) Determine the root using bisection method. Start with a = 0 and b = 1, and carr...

A: This is Numerical Analysis.