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Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3sinx = x^2

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  1. Calculus 1

    Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The root of x^4 − 2x^3 + 5x^2 − 5 = 0 in the interval [1, 2]
  2. calculus

    Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3sinx = x^2
  3. calculus

    3x4 − 8x3 + 5 = 0, [2, 3] (a) Explain how we know that the given equation must have a root in the given interval. Let f(x) = 3x4 − 8x3 + 5. The polynomial f is continuous on [2, 3], f(2) = < 0, and f(3) = > 0, so by the Intermediate Value Theorem,
  4. calculus

    Use Newton's method to solve the equation sec x = 4 in the interval x in (0, pi/2). In other words, use Newton's Method to compute arcsec(4). (You need to make a good initial guess for the root otherwise Newton's method will probably fail. Please justify
  5. Calculus - Newton's Method

    Use the Newton's Method to approximate the real root of the equation: f(x)=x-2+cosx=0 a) What is the iterative equation of Newton's method of the given equation? b) Iterate the equation with starting point x1=5 until you get a repetition of the four digits
  6. Math

    Find the real root of the equation 3x-cosx-1=0 correct to four decimal places using the Newton Raphson Method.
  7. Numerical

    Problem (2): Use Newton's Method to find the only real root of the equation , correct to 9 decimal places, and take an initial guess x0 = 1.5.
  8. college math

    hello i just want a answer in these question: please. im begging! I. Use Newton’s method to approximate the real root to 4 decimal places. 1. X^3-3X+1=0 2 . X^3-X-2=0 3. 2X-3SINX=0
  9. Math

    Show that the equation x = 1/5(x^4 +2) has two real roots, both of which are positive. Evaluate the smaller root correct to 3 decimal places, using Newton‘s method.
  10. Numerical Analysis

    Using the bisection method, Newton’s method, and the secant method, find the largest positive root correct to three decimal places of x3 − 5x + 3 = 0. (All roots are in [−3,+3].)
  11. Calculus

    Use Newton's Method to approximate the positive root of the function f(x) = (x^5) - 20 Show each iteration until successive iterations agree to six decimal places.
  12. Math

    Use Newton’s Method to approximate 3^(√7) to four decimal places. Use x1 = 2 as your seed. Round off intermediate iterates to five decimal places
  13. Calculus

    Starting with an initial guess of x=2, use Newton’s method to approximate (Third root of 7). Stop the iterations when your approximations converge to four decimal places of accuracy. Compare with the approximation provided by your calculator I'm so stuck
  14. Math

    Use Newton’s Method to approximate 3^(√7) to four decimal places. Use x1 = 2 as your seed. Round off intermediate iterates to five decimal place
  15. calculus1

    Approximate the real root of cosx+x=2 to four decimal place. (Using Newton's method) I need help with this! Thank you
  16. engineering mathematics

    use modified newton's raphson method to indicate the solution correct to 6 decimal places near to x=2 of the equation x^3-6x^2+13x-9=0
  17. Calc

    Find the linear approximation of the function g(x) = fifth root(1 + x) at a = 0. g(x)≈ 1+(x/5) Correct: Your answer is correct. Use it to approximate the numbers fifth root (0.95) and fifth root (1.1) (Round your answers to three decimal places.)
  18. Cal 1

    Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places.) 1/3x^3 + 1/2x^2 + 1 = 0, x_1 = −3
  19. Calculus

    Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places.) 1/3x^3 + 1/2x^2 + 8 = 0, x1 = −3 I got -3.4808, but it's wrong. Help?
  20. Calculus

    Use five iterations in Newton’s method to estimate the root of cos(2x)-2x.Use x0 = π/4 and eight decimal places.
  21. Calculus 1

    Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) (x − 9)^2 =ln x
  22. Calculus 1

    Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 7/x = 1 + x^3
  23. mathematics

    Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) sqrt(x + 1) = x^2 − x x = ?
  24. Calculus-Newton Method Approximation

    Use Newton's method to approximate the positive value of x which satisfies x=2.3cosx Let x0=1 be the initial approximation. Find the next two approximations, x_1 and x2, to four decimal places each.
  25. Calculus 1

    Use Newton's method to approximate the root of the equation x^3+x+2=0 with initial guess x1=-1 gives:
  26. Calculs

    1)Using Newton's Method with A=5, approximate the square root of 27. Do 2 iterations. 2)Using Newton's Method with A=2, approximate the cube root of 9. Do 2 iterations.
  27. Math

    1.Approximate sqrt3 by applying Newton's Method to the equation (x^2-3) = 0 2.The equation (x^3-x-2) = 0 has one real solution for 1
  28. Calculus 1 Newton's Method

    Using Newton's method, approximate the root of the equation x^3+x+2=0 with the initial guess x1=-1 gives: x2=? and x3=? answers are not 0 or -1
  29. mathematics

    Find a real root of the equation cos(x) = 3x − 1 correct to four decimal places by using method of successive approximation.
  30. Math

    Use Regula Falsi Method to find a real root of the equation xe^x - 2=0 correct to two decimal places within the interval [0,1].
  31. Maths

    x^3-x-2=0 correct to six decimal places by newton raphson method
  32. math

    Use a calculator and systematic trial to approximate each square root to 2 decimal places. SHow your work. a) square root of 20= B) Square root of 55= c)square root of 115= What would systematic trial mean and what do they mean by approximate each square
  33. CALCULUS

    Use Newton's method to find all the roots of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations. x^6 - x^5 - 6x^4 - x^2 + x + 8 = 0
  34. calculus 1

    Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 6 cos(x) = x + 1 can somebody explain to me step by step on how to solve this problem?
  35. Calculus 1

    Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x^3 + x + 1 = 0. *I got -1.307692 for my answer but it said that was wrong, so then I tried rounding it to two decimal places and got
  36. calculus

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 7)2 that is closest to the origin.
  37. Calc 1

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y =(x − 5)^2 that is closest to the origin.
  38. Calc 1

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y =(x − 5)^2 that is closest to the origin.
  39. Calculus 1

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is closest to the origin.
  40. Calculus 1

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is closest to the origin.
  41. Calculus

    Use Newton’s method to approximate the root of x^2 + 4x + 2 = 0 between x = -4 and x = -3 .
  42. Calc 1

    Use Newton's method to approximate a root of the equation cos(𝑥2+5)=𝑥3 as follows: Let 𝑥1=1 be the initial approximation. The second approximation 𝑥2 is____
  43. Calculus

    1) Find correct to six decimal places root of the equation cos(x)= x for xE[0, pi/2] using Newton's Method. 2) A triangle has two constant lengths of 10 cm and 15 cm. The angle between two constant sides increases at a rate of 9 deg/min. Find the rate of
  44. math

    An initial-value problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Euler-midpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, to find the exact
  45. Applied Calculus......

    Use the method of bisection to find the root of the equation x^5 + 3x − 7 = 0 accurate to two decimal places.
  46. Calculus

    These two q's for my homework I am very confused on how to do: First Question: Using Newton’s method, approximate the value of √5 up to 2 decimal points starting with x1 = 3. 2nd Question: Thomas Malthus was an economist that predicted that the
  47. Calculus I (PLEASE HELP!)

    These two q's for my homework I am very confused on how to do: First Question: Using Newton’s method, approximate the value of √5 up to 2 decimal points starting with x1 = 3. 2nd Question: Thomas Malthus was an economist that predicted that the
  48. Calculus

    Use Newton's method to approximate a root of the equation (2 x^3 + 4 x + 4 =0) as follows. Let (x_1 = -1\) be the initial approximation. The second approximation (x_2) is ? and the third approximation (x_3) is ?
  49. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is I got x2=-1.454 but can't get x3 :(
  50. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is for x2 I got -1.454 which is right but I can't get x3
  51. Math

    Use Newton's method to approximate a root of the equation 5sin(x)=x as follows. Let x1=2 be the initial approximation. The second approximation x2 is: and the third approximation x3 is:
  52. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is
  53. maths

    An initial-value problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Euler-midpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, to find the exact
  54. Calculus

    use tangent line approximation (linear approximation) to estimate The cube root of 1234 to 3 decimal places. Hint: the equation should be y=f'(x0)(x-x0)+f(x0) 11^3=1331 can be easily computed using binomial theorem. I used linear approximation and got
  55. Math

    We've been asked to find the root of a equation,corrected to 2 decimal places, using Bisection method. What should be the tolerance value? Is it 0.01 or 0.01/2=0.005?
  56. math

    An initial-value problem is given by the differential equation, f(x,y)=x(1-y^2), y(1)=0.07 Use the Euler-trapezoidal method with a step-size h = 0.1, to obtain the approximate value of y(1.1). Give your answer to 4 decimal places.
  57. Calculus

    Calculate one iterations of Newton's Method to approximate a zero for f(x) = x ^ 2 - 3 where x 1 =2 Write your answer in decimal form.
  58. Calculus

    Of the infinitely many lines that are tangent to the curve y = −7 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
  59. Calculus 1

    Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
  60. Calculus 1

    Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
  61. Calc 1

    Of the infinitely many lines that are tangent to the curve y = −6 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
  62. Calc 1

    Of the infinitely many lines that are tangent to the curve y = −6 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
  63. calculus

    Consider the equation x^5-cos(pi x)=0 . We can use the Intermediate Value Theorem to prove that the given equation has a root between 0 and 1. Answer the following questions. 1.show equation can’t have two real roots between 0 and 1. 2.Use Newton's
  64. math

    An initial-value problem is given by the differential equation, f(x,y)=-20xy^2, y(1)=1. Use the classical fourth-order Runge-Kutta method with a step-size of h=0.02, to obtain the approximate value of y(1.02). Give your answer to 6 decimal places.
  65. Maths

    An initial-value problem is given by the differential equation, f(x,y) = –20xy2, y(1) = 1. Use the classical fourth-order Runge-Kutta method with a step-size of h = 0.02, to obtain the approximate value of y(1.02). Give your answer to 6 decimal places.
  66. Math

    Using nonperfect square method,find the square root of 418 correct to two decimal places, showing workings.
  67. math help

    2x^4-3x^2-7x+1=0 Estimate what the real solution will be using Newton's method. Answers must be 4 decimal places. Let the first guess be x=1.75
  68. Math Help

    2x^4-3x^2-7x+1=0 Estimate what the real solution will be using Newton's method. Answers must be 4 decimal places. Let the first guess be x=1.75
  69. Calc 1

    Use Newton's method to approximate a root of the equation 4sin(𝑥)=𝑥 as follows. Let 𝑥1=1 be the initial approximation. The second approximation 𝑥2 is ___ and the third approximation 𝑥3 is ___
  70. algebra

    use a calculator to approximate the square root of 320, round to three decimal places.
  71. algebra

    1. Use a calculator to approximate the square root of 320. Round to three decimal places
  72. math

    x^3 + 4x^2 + 14x + 20 use the root or zero feature of a graphing utility to approximate the zeros of the function accurate to three decimal places. I do not know how to use the root or zero feature on my calculator. If someone could just explain how to do
  73. CALC

    Use Newton's method to approximate a root of the equation x3+x+3=0 as follows. Let x1=–1 be the initial approximation. The second approximation x2 is _____? and the third approximation x3 is _____?
  74. Math: Calculus

    Can someone help me out here with these two problem? I have know idea where to start. 1)The equation: 10(x-1)(x-2)(x-3)=1, has three real solutions a
  75. Applied Calculus

    Use differentials to approximate the quantity (give answer to 4 decimal places) 4th root of 256.6.
  76. Calculus

    Use your calculator to approximate the integral using the method indicated, with n=100. Round your answer to four decimal places. sqrt(x+4)^dx between 4 and 0.
  77. Math Problem (please help)

    Consider the following function. g(x) = 6x^4 − 13x^3 − 144x^2 + 325x − 150 (a) Use the zero or root feature of a graphing utility to approximate the zeros of the function accurate to three decimal places. (Enter your answers as a comma-separated
  78. Calculus

    The equation 10(x-1)(x-2)(x-3) = 1 has three real solutions a
  79. gse 122

    (1) y varies partly as D an partly as the cube root of D.when Y=6, D=27 an when Y=11,D=1/8.find Y when D=3. Correct to 2 decimal point. (2) using completing the square method find the root of the equation 8x+6x-5=0
  80. numerical methods

    Consider a spherical storage tank containing oil. The tank has a diameter of 8 ft. You are asked to calculate the height h to which a dipstick 10 ft long would be wet with oil when immersed in the tank when it contains 6 3 ft of oil. The equation that
  81. math

    x^3 + 4x^2 + 14x + 20 use the root or zero feature of a graphing utility to approximate the zeros of the function accurate to three decimal places. I do not know how to use the root or zero feature on my calculator. If someone could just explain how to do
  82. math

    Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. interval [0,72] sin square root of xdx where n=4
  83. Pure Mathematics

    Find the modulus and principal argument of the complex numbers giving the argument in radians either as pi or a decimal correct to 2 decimal places c) i square root 3 -2 ALL UPON -2-i square root 3
  84. math

    how do u mutiply decimals and how do u make a decimal into a fraction do you mean long-hand?? write down the numbers the way you would whole numbers, skipping the decimal perform the multiplication as if you had no decimals count up the total number of
  85. calculus

    Approximate the sum of the series correct to four decimal places. (-1)^n/(n!5^n) (from n=1 to infinity)
  86. Calculus

    Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!
  87. Calculus

    Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!
  88. Math: Calculus

    The equation: 10(x-1)(x-2)(x-3)=1, has three real solutions a
  89. math

    the function has a real zero in the given interval. approximate this solution correct to two decimal places. f(x)=x^4-x^3-7x^2+5x+10; (2,3)
  90. pre-calculus

    the function has a real zero in the given interval. approximate this solution correct to two decimal places: f(x)=x^4-x^3-7x^2+5x+10; (2,3)
  91. math

    round result to two decimal places...the answer i have is: 7.023 so two decimal places would it be: 702.0 You're asked to round to two decimal places. 7.023 = 7.02. Your answer has only one decimal place. so i guess my answer is wrong then...so what do
  92. Calculus

    Find the length of the curve correct to four decimal places. (Use a calculator to approximate the integral.) R(t)=(t^2,t^3,t^4) 0
  93. math

    Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval (-pi/2, pi/2) a. 1 b. –1 c. 1/2 d. 2 e. 0
  94. Calculus

    Use Euler's Method with three equal step sizes to estimate the value of y(0.3) for the differential equation y ′ = y, with y(0) = 1. Type your answer in the space below and give 3 decimal places. If your answer is less than 1, place a leading "0" before
  95. calculus

    1.Solve the differential equation dy/dx= y^2/x^3 for y=f(x) with the condition y(1) = 1. 2.Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared. Explain why the initial value problem
  96. Algebra

    Use a graphing utility to approximate the real solutions if any, of the given equation rounded to two decimal places. x^3-9x+1=0
  97. math

    Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2π). 9x cos x − 9 = 0
  98. math

    Correct to two decimal places, the square root of 125.26 is
  99. Maths

    Find a Square root of 7.66 correct to two decimal places
  100. math

    If f(x)= x^1/2 if x¡Ý 0 and -(-x)^1/2 if x>0 then the root of the equation f(x) = 0 is x = 0. Explain why Newton¡¯s method fails no matter which initial approximation p_0¡Ùo is used. Illustrate your explanation with a sketch.

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