12. Find all real solutions of each equation. (b) &r = -125 x + 3 (a) 4x – 3 = 2x + 7 (c) x3 – 64 = o (d) 2x 5 2x – 1 (e) 3(x + 1)² – 18 = 0

Q: Find the exact ५००/२ Solution for y₁= 2-27

A:

Q: 11. Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2)= 239, f(-3) = 254

A:

Q: Find all real solutions of the equation. 3 + 5z + z2 = 0

A: The given equation is 3+5z+z2=0

Q: Show that the equation x^3 + 6x^2 − 4 = 0 has exactly one solution p^∗ in the interval [0, 1].

A: We used Rolles theorem.

Q: Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

A:

Q: 2 3 Find all real solutions to the equation V2x- 1 1+ 2x+1

A:

Q: Find the general solution for: y'' - 4y' - 5y = -6xe(-x)

A: We need to find the general solution for y'' - 4y' - 5y = -6xe(-x). ---------(1)Idea: First, we will…

Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

A:

Q: - Find the number of non negative solutions to x + y + z = 21.

A:

Q: 13. Solve for A and B. - 7x +8 A B %3D 3x +x-2 3x-2 x+1

A:

Q: Practice 5.6 Question #6

A: Find all real  solution to

Q: Find the solution of y"-y'-6y = -e* +12x with y(0)=1, y'(0)=-2 by method of undetermined…

A: The Auxiliary equation is D2-D-6=0 Solve for D  D2-3D+2D-6=0DD-3+2D-3=0D-3D+2=0D=3,-2 Therefore, the…

Q: 2x2+2x+1 Q2/ Solve for x, <1 x2-3x-1

A:

Q: 4) Find the number of real and nonreal solutions for x3- x2 +3x -3 = 0

A: We have to find out

Q: 28 Solve for x and y. (2y" (2x)

A: Please see the answer below.

Q: ] Prove that the equation 2" – x = 1+ 4/x has a solution greater than 0.

A:

Q: 5. Find a particular solution to the equation -2x y" + 4y' + 4y = xe¯

A:

Q: question 10

A: Find all real solution to the equation

Q: Solve the initial value problem (t2 – 5)x' – 2tx = -2t(t² – 5), x(2) = 7.

A: Given differential equation is t2−5x'−2tx=−2tt2−5......1 and x2=7. We have to find the solution of…

Q: Solve : a + x - 3 y + z = 2 -5 a + 3x - 4 y + z = 0 a + 2 y – z = 1

A: For the solution of the problem follow the next steps.

Q: X - 2y = 3  3x = 6y + 9 solve by substition

A:

Q: Find all positive integer solutions to the equation 3x – xy – 2x + y + 9 = 0. -

A: Given,           3x2-xy-2x+y+9=0

Q: Please help

A: Comparing the given quadratic equation by ax^2+bx+c=0, we have a=1, b=-2, c=-6.The solution of given…

Q: Find a real-valued general solution for y''-6y'+9y = 0

A:

Q: Perform the indicated operations, and write the result in the form a  bi.

A: 9. Find all real solutions.       a) x2-x-12=0b) 2x2+4x+1 =0c) 3-x-3=xd) x12-3x14+2=0e) x4-3x2+2=0f)…

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a

A: We have x2-2x+a=0⇒x2-2x+a∈[0, 1) Given that equation has no solution ⇒x2-2x+a∉[0, 1)

Q: Verify that 3e-2x + 4e* is a solution of y'"'' – 3y' + 2y = 0

A:

Q: 2 3 Find all real solutions to the equation V2x – 1 = 1+ V2x + 1

A: The equation given in the question is: Find the least common multiplier of  Multiply both sides of…

Q: 3 10. Find all real solutions to the equation 1+ V2r - 1 V2r + 1

A:

Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

A:

Q: Q4- Solve y"- 4y' + 13y 3x.e*

A: Topic:- differential equations

Q: 6) Find solution of the particular y"-2y'+y=x²-6x+ 2x

A: 6)Here the given differential equation is y''-2y'+y=x2-6x+2xe2exlet y=emx be the trial…

Q: 3 Find The solution of X-2x+2=0 Using reton raphsen-

A: This question can be solved using the concept of Newton Raphson method of approximation of roots.

Q: Hence or otherwise solve the equation x²y" – 4ry + 6y = In r². %3D

A: The given problem is to find the solution for the given non homogeneous differential equation. Given…

Q: Find the general solution of z'-2/x (z) =2/3x^4

A: l

Q: (4) Find B such that the equation ßx² + x + ß : 0 has a repeated real solution.

A: Question no..4 Note : the equation has a repeated real solution, if the discriminant is 0.

Q: Solve using any method. -x- 2y = - 13 - 4x+ 2y=2 A inconsistent

A: Given equation  -x-2y=-13      (1) -4x+2y=2          (2)

Q: Q-1:A: find a real general solution: * y + 4y' + 5y =x +2

A:

Q: 3 Find the general solution of x = Ax, where A

A: we need to find all eigenvalues and eigenvectors for the coefficient matrix

Q: 2x (융) 1 y: x'; yel, X-1

A: Consider the given equation as x+6ydx-2xdy=0

Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

A:

Q: Зх + у — 2z %3D3 Solve {x - 8y – 14z = –14 x + 2y + z = 2

A: Given The given equations are 3x+y-2z=3x-8y-14z=-14x+2y+z=2

Q: 2 Solve for x: 3 3 x2-16 x2+x-20 x2+9x+20 a. x= -34 b. x = -17 C. x= 6.5 no solution C. d.

A:

Q: 31. Find the discriminant of the equation and give the number and type of solutions of the equation.…

A: We can find the answer as below

Q: (4) Find β such that the equation βx2+ x + β = 0 has a repeated real solution.

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.