b) The archers from one of the guard towers can fire an arrow along the path represented by the equation y =-0.025x +1.55x+22.2 , and the archers from the other guard tower can fire arrow along the path 1 represented by the equation y =- (x-22) +40. If Viking ships require 5.6 m to safely manoeuvre, how many 40 (if any) ships can safely enter the river at a time?

Q: Solve the equation and explain on the line * number |x – 3| < |2x – 6| -

A: Solve the equation and we know that |x|=x use this fact

Q: (b) Solve y" + y — бу %3 е2t, |

A: We can use the variation of parameters method to find a particular solution.

Q: Solve the equation x2 + 3x - 4=0 using graphs and taking range of value from -4 to 2

A: Given, x2 + 3x - 4=0 ⇒x2-x+4x-4=0⇒x(x-1)+4(x-1)=0⇒(x-1)(x+4)=0⇒x=1 and x=-4 If we take the above…

Q: Cim 2x-y?

A:

Q: Solve using method of undetermined coefficients: y" + 3y = -48x2e3x

A: The solution is given as

Q: You entered the point (50, 248). How did you know this was a solution to y = 5x - 2? %3D

A: We are give the point (50, 248). We need to verify that (50, 248) is a solution to y=5x-2. Idea is…

Q: What is the value of x in the equation 18 (6x – 12) = 4x + 2? %3D О -3 3. 1/2

A: We can find the value of 'x' from the given equation as below

Q: Solve the equation by using a u-substitution: x 5 + x5-2=0

A: The given equation is: x25+x15-2=0⇒x152+x15-2=0

Q: What is the value of x in the equation 3x-4y=65 when y=4

A:

Q: The number of units in z3,[x] is 30

A: We know that, any ring given as ℤpx  will have  (p - 1) units

Q: Solve ,  (D2 -9)y= e4x

A: We have to solve  (D2 - 9)y = e4x For complementary function  (D2 - 9)y = 0 The auxiliary equation…

Q: What is the relationship between solutions to a quadratic equation and the x intercept.

A: The quadratic equation has the form ax2+bx+c=0

Q: 6- Discuss the equation x + y + 4x - 6y = 12.

A:

Q: Solve using the method of undetermined coefficients y'''+8y= 2x - 5 + 8e^-2x ; y(0) =-5 , y'(0)=3 ,…

A:

Q: The number of solutions of the simultaneous algebraic equations y = 3x + 3 and y = 3x + 5 is

A: We have to solve given problems:

Q: y = x - 3 x- y = 8

A: We Use the basic definition of plot a graph of lines. y= x-3------(1) x-y=8------(2) (1) can be…

Q: What is the domain of the equation y=3x²-4x?

A: Given,            y =3x2 - 4x

Q: solve fo y -3(-5y+4)-2y=3(y-1)-4

A: Given,

Q: Solve 2, y(0) = 22 - -58 - 15 x(t) =

A: Given,          x'y'=52-58-15xy,   x(0)=-2, y(0)=22

Q: If AXYZ ARST, find the value of x. Y R 40 5x-3 3x + 2 T 60 X3=

A:

Q: Solve by the elimination method 5x-y=13 X+2y=18

A:

Q: Find the are intercepted by the three equations 4x^2-y^2+2x=1, y^2-x=4, and y=x-2

A: We will solve this and find out area of the region

Q: If 7x – 6y = 2 and -2x – y = 3 are true equations, what would be the value of 7y? 5x -

A: Given equations 7x - 6y = 2  { Let this be equation number (i) } -2x - y = 3   { Let this be…

Q: The solution of linear equation 2x- (2x-3) = x+7 is 7?

A: We use inverse operations of mathematics

Q: Solve by graphing. 4x − 5y = 27 y= 9 − 4x (x, y) =

A:

Q: How much corn seed is required to plant a field limited by the equations x ^ 2 + y ^ 2 = 9; y = x; y…

A: Here we will find out the required amount of corn seed.

Q: Write an equation in the form Ax + By = C, given that m=3/4 and y-intercept is (0,-4), where A, B…

A: First we will substitute the value of slope m= 3/4 and y-intercept b=-1 in slope-intercept form y=…

Q: Q5: Solve line equation: 2x1 -341+41,- 213=3 4+7x,-5x3 = 6 by a) Dolittle method

A:

Q: Is (7, 7) a solution to the equation y = x – 1? - yes no

A:

Q: Solve: y' + 4y - 17y' - 60y: = y(0) = - 4, y'(0) = - -5, y(t) = = - 72et y''(0) = - 65

A: First we will find the Auxiliary equation of given differential equation to get Complementry…

Q: Solve using the method of undetermined coefficients y" + 3y' +2=6

A: Let's find.

Q: A landscaper is creating a patio in the shape of a right triangle. If one side of the patio will be…

A:

Q: this equation is quadrfatic or expendential k(x)=4x+3

A: Consider the equation

Q: Solve using the method of undetermined coefficients y''+ 3y = -48x²e^3x

A:

Q: At the beginning of the year, a blogger has 150 subscribers. Since then, the number of subscribers…

A:

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: What ordered pair is a solution of the equation 5 x + y = –23?

A: Consider the equation 5x + y = −23.

Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

Q: Solve by the method of your choice. 8x-3y=6 3x+y=15

A:

Q: value

A:

Q: what is the solution of the equation 2x2 -x-15 =0?

A: given 2x2 -x-15 =0

Q: does it have? y Solutions

A:

Q: Use the IVT to show that the equation: x5 + 2x3 +3x- 4 = 0 has a solution.

A: Intermediate value theorem states that if f(x) is continuous in [a, b] and and f(a)*f(b)&lt;0, that…

Q: Find the ordered-pair solution of y=2/5x+2 that corresponds to x= -5.

A: Given query is to find the ordered pair for the function for x = -5.

Q: 3 8 =D1 x-3 x2 -9

A: Given:  3x-3-8x2-9=1 To Find: The true solutions of the given equation

Q: solve: fx" - 4x - 3y=et-6 5x+y + 4y = 8+ cst

A:

Q: what is the solution to the equation x2-3x-28=0?

A: The solution is:

Q: Once again, find the value of the high poplar, where て a-X b-x 2 ー x 2 モ-X

A:

Q: What value of x makes the equation -5x- (-7– 4x) = -2(3x-4) true?

A:

Q: Replace in third equation. x²y²z?=!

A: Given that:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.