Formulate the following problems as a part of equations, and hence find theirsolutions.Ressa can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

Q: 6+: 2. y = . +3 y%3D = -8 3D3 2. y = x +8 x – 2y = 18 2r + y = 6 %3D D

A:

Q: Solve the following equations: (a) x3 – 5x +1 = 0 (b) x + 2x – 3 = 0 (c) x – 4x + 1 0. -

A: Newton–Raphson Method is a root-finding algorithm which produces successively better approximations…

Q: Formulate the following problem as a part of equations, and hence find theirsolution.Ray travels 300…

A: The formula relating speed, distance and time is,

Q: Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Stephen was paid…

A:

Q: Find the general solution to the following equations (4 -2 x'(t) = X. 8 -4

A: The solution is given as

Q: Determine the optimal solution of the following three equations: X + y = A1 х—у — А2 X—у — АЗ

A: We have to determine the optimal solution of the following three equations : x + y = A1…

Q: Solve the following equations by graphing    x+2y=1 2x+y=5

A: From the graph below we see point of intersection is (3,-1)

Q: If I am given two equations, 14x=6 and -9x=2 and am told to figure out if they are parallel how do I…

A: Explanation:The given equations 14x = 6 and −9x = 2 are observed to be the equations of vertical…

Q: Solve the following pair of linear equations by the substitution method. The larger of two…

A: given:

Q: y = -4x – 1 8x + 2y = 14 %3D %3D

A: Given: y = -4x - 18x + 2y = 14 To find: After solving this equations the lines are parallel,…

Q: Obtain the solution of the following equations. 1. (1 – x)y' = y2

A:

Q: uations: (x+3)(x-1) =

A: Solve the following linear equations: (x+3)(x-1) = x^2+5

Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

A:

Q: Which of the following pairs of equations are equivalent? Explain. (a) x? = 9; x = 3 (b) x = V9; x =…

A: To check the equivalent pairs. a) x2=9; x=3b)x=9; x=3c) x-1x-2=x-12; x-2=x-1

Q: Simplify both sides of the following equation as much as possible, and then solve: 6. 4y + 3y %3D…

A:

Q: Guess one solution of the equation ax + (b+ c)x – (a + b+ c) = 0 and then determine the other one.

A: Since the equation, ax2+(b+c)x-(a+b+c)=0 is a quadratic equation, therefore, it will have two…

Q: Solve the following equations: (a) x3 – 5x + 1 =0 (b) x + 2x – 3 = 0 (c) x³ – 4x + 1 = 0. -

A:

Q: Determine the solution of the following equations: 1. (x*D² + 2xD- 2)y = 4 + x² 2. (x'D³ +3X°D² +xD…

A:

Q: Find the solution of the following equations in two ways? X +Y +Z = 1 X - Y = 4 X +Y – 22 = 4

A:

Q: Solve the following equation: y + (2/ry – x)y' = 0.

A:

Q: Find a general solution of each of the following equations.

A: The given differential equation isy'=-2xy

Q: Solve the given linear equation. 4x + 6 = 9x − 25

A:

Q: Solve the following equations for x and y   a. 2x+9Y=-13 2x-3Y=23   b. 8X+9y=129 6x+7Y=99…

A:

Q: Find the solutions of the following homogenous linear equations with the use of equation 4.1.2 D 1.…

A:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" - 3y' - 10y = 2x - 3

A: The solution equation is obtained by the equation y=yc+yp Take the characteristic equation of the…

Q: Solve the following simultaneous equation for x and y. Answer should be in the form of x=# y=# 12x…

A: Given equations are 12x - 3y - 66 = 0 2x - 2y - 8 = 0

Q: d. (b) d.r

A: Given ddx1x+xx2

Q: Determine which of the following equations is true.

A:

Q: Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Stephen was paid…

A: Marco was paid = $ 8/ hour Summer bonus = $ 500   Stephen was paid = $ 11/ hour Summer bonus = $ 300

Q: Solve the following equations algebraically. Then, check your work. (a) 5x = 45 (b) x = 10 (c) x =…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 3. %3D X-6 X+2

A:

Q: both

A: Put value of either x or y from equation 1 and put in equation 2 or value of either x and y from…

Q: Solve the following linear equations in two different ways ? 3a – 2b = 5 . (1) 5a – 2b = 11... (2) -

A: 1-Way

Q: Solve the following difference equation: 2yn-2 - 3Yn-1 - 2Yn =1 Yo -1, y - 2

A: Given the equation is  2yₙ-2 - 3yn+1 -2yn = 1 and yo=1, y1=2 First we have to change this into a…

Q: Find a complete solution of each the following equations: b) (D³ + D² + 3D – 5)y = e*

A: The objective is to find the complete solution of the differential equation D3+D2+3D-5y=ex Auxiliary…

Q: Solve the following equations by graphing: 2x – y = 4 x+y=5 (1, 0) y O A. (2, 2)

A:

Q: In any trapezoid, the sum of the squares on the diagonals is equal to the sum of the squares on the…

A:

Q: Describe in words the variation shown by the given equation : z = k√x/y2

A: Given: z=kxy2 To Describe: Describe in words the variation shown in the given above equation.

Q: FIND THE GENERAL EQUATION OF THE FOLLOWING SOLUTION: A. y" = 12

A: Solution:To find the general solution of(A). y'''=12(B). y''-2y'+y=exx5

Q: Find the general solution of the following equation. y'(x) + 3y = - 9

A:

Q: Solve the following equation for X and Y. [3 -3 0] 2X – Y = 3 3 2] 4 2Y+X = 1. -1 4

A: We have to apply Matrix additions and scalar Multiplication for finding out values of X and Y.

Q: If A is measured in € per ft, B is measured in € per kg, Cis measured in ft per kg, D is measured in…

A: Given: A is measured in € per ft, B is measured in € per kg, C is measured in ft per kg, D is…

Q: Solve the following linear equations. 1) y' + 2y = x² + 2x

A: Note: "As per our company guidelines we are supposed to answer ?️only first question. Kindly repost…

Q: y(1) + 2y"" + y"+ 2y' = xe-2x

A: Here we use one method of linear differential equations with constant coefficients. i.e. The…

Q: Set up an equation and solve each of the following problems. If two inlet pipes are both open, they…

A: If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes. One of the pipes…

Q: Solve the problem below

A:

Q: Describe in words the variation shown by the equation z =k√x/y2.

A: z=kxy2

Q: · Solve the following equation: (State restrictions) 2x 3 x² – 9 ' x + 3 3

A:

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.