b) Write down the polynomial equation for (1,-2) and (4,3) using Lagrange Method.

Q: Estimate the root of following nonlinear equation x – 2x – 1 = 0 using Newton-Raphson method…

A: (a) The given equation is f(x)=x4-2x-1=0 find the derivative f'=4x3-2 initial guess x0=-1…

Q: The slope of the tangent line to the parabola 2x + 4x + 5 at the point (3, 35) is: The equation of…

A:

Q: y+1-2 dy

A:

Q: Find the general solution of y' = y secx

A:

Q: Find the linearization of-ƒ(x, y) = x2 - xy + 1- 2 y2 + 3?

A: Here we have,  f(x,y) = x2-xy+1-12y2+3 at (3,2)

Q: Form the polynomial equation with integral coefficients whose only roots are given. 2,-1,1

A: Given roots are 2,-1,1 Now we have to find the equation of polynomial with

Q: 1. Find a real root of the equation x³ – 18 = 0, correct to three decimal places by using Bisection…

A:

Q: f(x)=x3-7x²+8x-3 iF Xo =5

A: Using Newton-Raphson Method we determine the approximation to the solution, where  f(x)=…

Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

A:

Q: 2- Find the approximate roots of the following equation f(x)= 4x – x² -2 = 0 on [0,1], by using…

A: According to the given information it is required to find the approximated roots of the equation…

Q: 2. Find an estimate of the root of the equation: 2* + vx² +5=20 using regula-falsi method. Ans x:

A:

Q: Find the point on the curve y = /2x + 3 which is closest to the point (5, 0).

A:

Q: If x < 0 and y > 0, determine the sign of the realnumber. x/y

A: It is given that, x < 0 and y > 0

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

A:

Q: Determine the root of the equation x³ + x² = 1 in the interval [0, 1] by using bisection method.

A:

Q: Q2. Solve the DE. y"" = x2sinx 1. by using inverse operator method. 2. by using variation of…

A: As per bartleby guidelines for more than one questions asked, only one questions is to be answered,…

Q: If x < 0 and y > 0, determine the sign of the realnumber. xy2

A: Given that, x < 0 that is x is negative. y > 0 that is y is positive.

Q: Find mZR. 2/2 mZR = %3D Submit

A: From the given figure:   With respect to ∠R   Perpendicular=QPBase=QR=2Hypotenuse=PR=22   From the…

Q: The slope of the tangent line to the parabola y = 2x“ + 2x + 6 at the point (1, 10) is: The equation…

A: Given,            The parabola is y=2x2+2x+6 and the point is 1,10.

Q: Find the equations of the tangent lines to the parabola y = -x² + 5x – 6 at its points of…

A:

Q: a. Find a cubic polynomial with equation y = ax' + bx whose tangent line at (2, -6) is y=-19x+32.…

A:

Q: 2. Find an estimate of the root of the equation: 2* + Vx² +5 =20 using regula-falsi method. Ans

A:

Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: Locate root of the equation x +x- 2 = 0 using fixed point method.

A:

Q: If y = sech (kxN) and (1-289 x26 ) (y')² = A Then A =.....

A: We know ddxsech-1x=-1x1-x2 By chain rule ddxsech-1f(x)=-f'(x)f(x)1-{f(x)}2

Q: Solve using D-Operator 3. y + 2y + y = x²

A:

Q: The slope of the tangent line to the parabola y 2x2 + 2x + 4 at the point (0, 4) = The equation of…

A:

Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

A:

Q: 8r2 te V1-4.a

A:

Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: Find an equation of the curve that passes through the point (1, 1), and has the given slope y′ = −…

A: y'=-9x16yPasses through (1,1)Formula∫xndx=xn+1n+1+C

Q: How to create cubic equation (y=ax^3+bx^2+cx+d) using the points (0,0), (1,1) and (2,4)

A:

Q: The 2nd approximation to the real root of the equation x³ – x² – 1 in the interval [1, 2] using…

A:

Q: The slope of the tangent line to the parabola y 3x? + 2x + 3 at the point (– 5, 68) is: The equation…

A:

Q: Tim Find the first approximation to the root of the equation -2x-5-0using Regular-Falsi method…

A:

Q: : Find the roots of the equation by: (the error <0.001) f(x) = x* – 3x²+ x + 1 a) Bisection method.…

A: Solution (a). Bisection Method

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: 0.5(x – 4)2 = 2 + In x

A: To calculate the roots of the equation using (i) Newton Rapson (ii) Bisection iterative techniques

Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

A:

Q: Find a quadratic function with a root at X 5i that also includes the point (2, 14).

A:

Q: Find one of the roots of the function using Regula-Falsi method. £ (x) = x- V+1

A:

Q: If x &lt; 0 and y &gt; 0, determine the sign of the realnumber. x2y

A: Given, The real number is x2y.

Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: topic - equation of a line perpendicular to given line

Q: A quadratic equation x--4x+43D0 is defined with an initial guess of 10 and 20. Find the approximated…

A:

Q: a. e¯* – 3logx = 0 ||

A: Consider the given function as, fx=e-x-3logx Let root lie between 1 and 2 First find f1 and f2…

Q: Use Gauss's method to solve the cyclotomic equation x^6+x^5+x4+x^3+x^2+x+1=0.

A: given cyclotomic equation x6+x5+x4+x3+x2+x+1=0   ...i claim- to solve the equation using gauss's…

Q: Solve for y in terms of x and z. z = xy

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Use Cramer's rule to solve for y. 5x + 4y + 4z = 39 4x +3y-2z 15 4х - 5y - 4z%3D -15 |

A:

Q: If x &lt; 0 and y &gt; 0, determine the sign of the realnumber. xy

A: Let x&lt;0 and y&gt;0

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.