What is the value of x?

Q: a) 2x² + 3x + 5 = 0 -4 b) 4 and 2j13 c) 4t? - 5t + 7 = 0

A: a) Given 2x2+3x+5 = 0⇒x = -3±9-404          = -3±-314       = -34±314jHencex = -34+314j,  x = -34-31...

Q: Select all of the linear transformations from R³ to R³ that are invertible. O A. Projection onto the...

A:

Q: rs. Wha

A: Formula used, where, P(t)=Population at time t Po=Initial Population k=Growth rate t=time e=Euler's...

Q: which of the following i not true ? a) If f is monotonic then f6 BV [a,6] b) IF fe Bv[a,b] then f is...

A:

Q: O Evaluate 10

A: see the attachments below

Q: Prove that the smallest member of a set, if exits, is the greatest upper bound of the set, clear pro...

A: Note*  We consider Greatest Lower Bound    

Q: The graph shows and minimum values of the objective function. region of feasible solutions. Use this...

A:

Q: Prove that the sequence ((-1)")=1 does not converge to any number.

A: Solution :- The given sequence is                          {  an }   =   { (-1)n}  then , we have to...

Q: 37. Let V be the set of all positive real numbers. Determine whether V is a vector space with the op...

A:

Q: Find the factors of the equation x3-2x2-x+2 .  Please assist in solving the above

A:

Q: Find the Green's function G(t,t') for each of the following problems. A. * + 9x + 20x = k(t), x(0) =...

A: Given: (A.) x..+9x.+20x=kt,  x.0=x0=0 (B.) x..+4x.+4x=kt,  x.0=x0=0   To find: The Green's function ...

Q: Find Particular solution 2 2. +4x² = 2

A:

Q: Find the solution of the following Differential Equations 3) y"+2y' –8y = 0, y(0) =1. y'(0) = 8.

A: We have a differential equation ,  y'' + 2y' - 8y = 0   with,  y(0) = 1  ,  y'(0) = 8 This is second...

Q: What is the algebraic form of the complex number 13 e 12+5i 5-12i 12-5i 5+12i

A: We will use the basic theory of complex numbers to answer this question.

Q: 4. Define two ordered bases 2 B = and C = 2 3 3 2 on R³. (i) Find PB-c. (Hint: Use your work from pr...

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: To solve the below differential equation. dydx=yxy2−1

Q: Systems of Nonhomogeneous LDE Solve the DE dx = -3x + y + 3t dt dy 2х — 4у + e-t | dt

A:

Q: dy 4. dx y = e*y?

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: QUESTION 2 Elaine rolls a 20-sided die a total of 7 times. Her results are given below: answe' in wa...

A:

Q: Find the exact coordinates of the centroid for the region bounded by the following curves: = 16x, 9....

A:

Q: Prove that if G is a finite cyclic group, Hand K are subgroups of G, and H =f. K, then IHI =f. IKI

A:

Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values o...

A:

Q: Evaluate the triple integral: -In y (z) dzdydx A. In 4 + 13/6 C. 13/6 - In 4

A: Note:- In this problem, option is not correct. If we take f(x, y, z)=1 instead of z then option (4) ...

Q: ix A = 2 1.

A:

Q: Draw a Cayley graph for Z/7Z with generating set {2¯,5¯}.

A:

Q: Use the Gauss-Seidel method to find approximate solutions to 221 +22+9zs = 12 21 +22-3= 2 1-822+3z3 ...

A: Convergence of Gauss seidel is only guaranteed if the matrix is either strictly diagonally dominant,...

Q: A phonograph record 32 cm in diameter rotates 41.4 times per minute. What is its frequency? (round t...

A:

Q: Rotate 180° about the origin G' T' B' Vertex Pre-Image Image G (-3, -1) G T (-1, -1) (-3, -5) B.

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. The rotation r...

Q: 少 -x?+4x° ; y(1)=2 dy Xy+ dx

A:

Q: Given the circumference of the base which is 67 ft. and its altitude of 10 ft., what is the volume o...

A: The volume of a cone s calculated using the formula: V=13πr2h, where r is the radius of the base and...

Q: Find an equation of the plane containing the point (3,0,-4) and perpendicular to the line r(t D)= O ...

A:

Q: У ,ーテ = ,-, + テ-テ - y = y: ij ij i. i. and (y;-y 10, – 7,) + 6, - 7) | ij ij i. ーリ-bー)+G.-) 2 2 2 Sh...

A:

Q: shows its three angle bisectors intersecting at point C, the incenter. Find the CF%=D6. Find CD

A: In this question, the concept of Incentre is applied. Incentre The incenter of a triangle is the poi...

Q: 12 Sin X de =?

A:

Q: Testing for a Vector Space In Exercises 13-36, determine whether the set, together with the standard...

A:

Q: n Problems 1 - 6 solve the given differe sing an appropriate substitution. dy x- + y = dr dy - y = e...

A: In this question, the concept of the differential equation is applied. Differential Equation A diffe...

Q: A pair of dice is rolled. let X be the sum of the number of dots onthe top faces. The table below sh...

A:

Q: The value of 'a', for which u(x, y) = xt + ax?y2 + y is a harmonic function, is

A:

Q: 06.4. Let {Wi}t>o denote Brownian motion under P and define Z exp(aW;). Use Itô's formula to write d...

A:

Q: 1 2 *) Let ū : and i Find a vector w not in span {u, i}. 10 || 13

A:

Q: Find y as a function of t if y" + y' – 2y = 0, y(0) = 8, y(1) = 8. y(t) = Remark: The initial condit...

A:

Q: Exercise(6) Prove that J1/2 = XT sinx 2.

A: Here we have to prove that  J12=2xπsinx

Q: Find the Fourier series for the given function. S (x) x +L, -L x > 0

A:

Q: r', where i =

A: As per rule, allowed to answer first question and post the remaining in the next submisison.

Q: Prove that if A1, A2, ..., Ak, with k > 2, are n x n nonsigular matrices, then (A1 A2 ... Ak) = A'A ...

A:

Q: se limit is a "dx" integral

A: Given as,

Q: Dis - let g: 2Z, such That Disc Prove That. 960= 2X, e, But is not suek Discrete struar Discrete ctu...

A: Introduction: A function makes a relationship between its domain set and the range set. All the valu...

Q: Consider the axiomatic system below with cat, scratch, and pole as undefined terms. Any two cats scr...

A: Let us solve the given problem in the next steps.

Q: Assume that there is a Fourier series converging to the function f defined by -2 <x < 0, 0 < x < 2; ...

A:

Q: Find the Fourier series for the given function. f (x) = J -L < x < 0, x + L, f (x +2L) = f(x) L, 0 <...

A: We have to find the Fourier series of the given function.

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.