1. Find an estimate of the root of the equation: 3 = 5x2 located in the interval (0,1) using bisection method. Ans x=

Q: Area of a regim enilosed is by Curves y= 12 and

A: To find the area enclosed by the given two equations

Q: Use Taylor’s formula to find a quadratic approximation of ƒ(x, y) = ex sin y at the origin. Estimate…

A: The given function is,

Q: show that the square of the length of subtangent at any point on the curve by2=(x+a)3(b is not equal…

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Q: Find the tangent/s as directed to the parabola (x + 2y)2 + 2x – y – 3 = 0, parallel to the line x –…

A: The objective is to find the equation of tangent line to the parabola x+2y2+2x-y-3=0 which is…

Q: Find the arclength of y = 4x³/2 on 1 < x < 3

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Q: Find the tangent/s as directed:to the parabola (x + 2y)^2 + 2x – y – 3 = 0, parallel to the line x –…

A: Given equation of line is  x-4y=24y=x-2 y=14x-12 So comparing with the slope equation formula,…

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approxim

A: Given,         f(x, y)=11-2x-y

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

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Q: Find the smallest positive root by using the bisection method Ax) = 2x-x with Residual error e<0.01

A: The given function is,f(x)=2x5-x3

Q: Find the greatest and smallest values that the function f(x, y) = 4x+5y takes on the circle x2 + y?…

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Q: B\ find the root of f(x)=x-x-1, in [1, 2] with 4 decimal places and E-0.009 by using Interval…

A: Given:   fx=x2-x-1 in 1,2

Q: Solve for the root (5 decimal places) of the following equations using: A.) Incremental Search…

A: We are given f(x)=1.1288x-sinh(1.3288x)=0 x0=0.5, ∆x=0.1 ,TOL=0.001 Step x f(x) 1 0.5 0.51227…

Q: A coordinate of the point on the curve of y=2x3−3x−6, where the tangent at the point is…

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Q: Find the equahion a Hhe tangent Lie FlX) =482- 5X +7 when R=1

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Q: The root of the equation is estimated using the point of intersection of y = e^x and y 3x + 2 Using…

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Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Show that the square of the length of the subtangent at any point on the curve by2=(x+a)3 (b is not…

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Q: Use the Bisection method to approximate the root of the function f(x) = x³ - 7x² + 14x-6, [0,1] and…

A: We need to determine the root of f(x)=x3-7x2+14x-6 in the domain: 0, 1 using the Bisection method…

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

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Q: • Use the trapezoidal rule with n = 14 to estimate: -dx √√1+x²

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Q: Find the approximate root of the equation given below using the Secant method correct to three (3)…

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Q: find the roots using secant method. Stop until at 15th iteration or when approximate percent…

A: The secant method is xn=xn-1-fxn-1xn-1-xn-2fxn-1-fxn-2. The function is fx=2x4+13x3+29x2+27x+9 Set…

Q: 4. What is the area of the largest rectangle that can be insribed in the first quadrant under the…

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Q: Use the method of Successive Approximation to find a real root of e^x – x^2 = 0 correct to four…

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Q: (b) Find the points on the curve y = 2x3 – 3x2 – 12x + 20 where the tangent is parallel to the…

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Q: Use the trapezoid rule with n = 70 to approximate | Væ4 + 1dx. You need to carefully write out -3…

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Q: 4. Use Bisection Method to find an approximation to V3-1 correct to within 10-2 (use an appropriate…

A: To find the approximation of 13-1. To use bisection method we write the given relation in the…

Q: 1. While using bisection method to find the solution of the equation f(x)=x*+3x-2=0 on interval [0,…

A: The given equation is x4+3x-2=0 on the interval [0,1] find f(0) f(0)=04+3(0)-2=-2 therefore f(0)=-2…

Q: Find the arclength of y = 3x3/2 on 2 < x < 4

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Q: Use 4-segment the trapezoidal rule to numerically integrate f(x) = f(x)=∛(44x-4) from a = 44 to b…

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Q: Find the rod of greatest length that can be inserted between y= square root of x and y=x^3…

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Q: 8. Find a negative root of the equation x-x +11 = 0,correct to 4 decimals using bisection methods.

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Q: Given the parabola: x2+12y=0 and the tangent line x+y-3=0, find the point of tangency

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

A: Use bisection method to find a root.

Q: find the distance between 4y+3x=4 and (0,5)

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Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ]  using numerical…

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Q: Find a real root of the equation x 18 0, correct to three decimal places by using Bisection method.

A: The given function is  f(x) = x3 - 18 Let the root is between [2, 3] According to the Bisection…

Q: Find the arclength of y 4x3/2 on 1 < x < 2

A: Here in this question given that y=4x3/2 and find the arc length. Between x=1 to x=2.

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

Q: What formula would be used to calculate the middle rectangle approximation of Söy x +2dx using four…

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Q: Find the arclength of y 3x3/2 on 1 < x < 3

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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: Find the arclength of y = 4x2 - 4 where x is greater than or equal to 0 and less than or equal to 4

A: Concept Used: The arc length of the function is the length of the curve y=fx on the interval a,b is…

Q: Approximate the root of g(x) = 2 + x – eª between 1 and 2 to within 0.05 of the exact value using…

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Q: Find the length of the curve y = x^4 for 0&lt;_x &lt;_1

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Q: What is the length of the -3< x S3 segment of the y = v36 – x2 www vwwb w e curve?

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Q: At what point on the parabola y=3x^2+2x is the tangent line parallel to the line y=10x-2? Use first…

A: We have to find the point.

Q: What is the average distancebetween the parabola y = 30x(20 - x) and the x-axis on theinterval [0,…

A: The equation of parabola is given by y=30x20-x on [0, 20] The expression to evaluate the average of…