Let ( f(x)=sin(x)+2xe^x \) Use the secant method for finding the root. Conduct two iterations to estimate the root of the above equation. Let us assume the initial guesses of the root as \(x_0=-0.55, x_130.66 \) Answer:

Q: Q4: Using Fixed-Point Method, find the Positive Root of the following equation: Sin x = 5.x - 2 ,…

A: We have to find positive root by using fixed point method.

Q: Verify that the equation 2 -x2 = sin x has two real roots, one near x = - 1.5 and another near x =…

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Q: Solve: 2a[sinh(25/a

A: Explanation and solutions is given below.....

Q: f(x)=sinx + sin(1+x^2) - 1, use newton raphson to solve for the roots

A:

Q: Use implicit differentiation to find and . 2 - y? + 2 - 22 = 4

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A:

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Q: Determine the two roots of sin x + 3cosx - 2 = 0 that lie in the interval (-2, 2). Use the…

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A: To solve the following problem we use the formula of Newton Raphson Method  Xn+1 =  xn - fxnf'xn

Q: In(x®y²) = x² +y³

A:

Q: 5. [tan³x sec³x dx

A:

Q: Find the second derivative x4/7 -( solve using rationalising)

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A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: