Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator a. x(t) = d/dt {3e-2tcos(t)u(t)} - use theorem on derivative
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Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator
a. x(t) = d/dt {3e-2tcos(t)u(t)} - use theorem on derivative
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- Find the linearization of f(x)=ln(x2-3) at suitably chosen integer near X=2.1. Then use the linearization to estimate the value of f(2.1).Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. f(x)=2x2+5x-3, a=-0.9f(x)=(x^3-25x)/(7x^2+1) Use the first derivative test to find the critical points.
- How can you find the first derivative of the given polynomial function? What mathematical skill is essential in finding the critical number(s)? If you will graph the given function using desmos or any graphing utility, what can you say about the maximum and minimum?Find the Maclaurin polynomial of degree 8 for the function f(x)=sin(6x)Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator a. x(t) = {t2 +2e-2t + sin(3t)} u(t) b. x(t) = 2tcos(2t)u(t) - use theorem on multiplication by t c. x(t) = d/dt {3e-2tcos(t)u(t)} - use theorem on derivative
- find the derivative at T=45 using 3rd order polynomialfind a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. 1. ƒ(x) = x2 + 2x, a = 0.1 2. ƒ(x) = x-1, a = 0.9 3. ƒ(x) = 2x2 + 3x - 3, a = -0.9 4. ƒ(x) = 1 + x, a = 8.1Solve for the derivative of the given functions using the Chain Ruleformula. Let f(x) = √(x2 + 3x + 1). Find f′(x). a.) What is the inner and the outer functions?b.) What is the derivative of the inner function?c.) What is the derivative of the outer function evaluated at the inner function?