Find the degree 3 Taylor polynomial approximation to the function f(x) = 8 ln(sec(x)) about the point a = 0. 3 In(sec(x)) ×

Q: Let f(e) = In[r*(z + 6}*(z° + 6)"] f'(x) =

A: Given: Now,         f'(x)=lnx4x+62x2+69'        =1x4x+62x2+69x4x+62x2+69'…

Q: Consider the data about f(x) and its derivatives given below. rƒ(x) ƒ'(x) ƒ"(x) 0 1 14 -1 5 8 6 Let…

A: Given Information:Nodes of  are provided as .The function values and its derivatives are provided…

Q: Consider a polynomial y g(x) with critical points x = a and x = b and g" (x) = 0 = x = a, x =c and x…

A: we know that critical points of function g(x) are the points where derivative of the function…

Q: Does g(t)=3t^5+10t^4−30t^3+70 have any inflection​ points? If​ so, identify them. An inflection…

A: The given function is: g(t)=3t5+10t4-30t3+70 And, the derivatives are:…

Q: h" (t) = sec? t – Vt, h(0) = -3, and h'(0) = 3. %3D

A:

Q: Let f(x) = VX (a) Find the linearization of f(x)centered at c = 1000 Call it L(x). (b) Use your…

A: Given function is fx=x3. The linearization of a function fx centered at c is given as: Lx=fc+f'c x-c…

Q: Determine the Taylor approximation of degree 5 with support 0 of tan(x). by using…

A:

Q: Let f(x) be a quadratic function such that f(0) = -4 and is a rational function. Determine the value…

A:

Q: If g(t)=t^2tan(t), then can the Intermediate Value Theorem be used on the interval [0, pi/4] to show…

A: If a continuous function in a domain has two domain end points and one point is above the required…

Q: Consider the following. F(x) = dt (a) Integrate to find F as a function of x. F(x) = (b) Demonstrate…

A: Second fundamental theorem : Suppose f is continuous function in an open interval I .Let a∈I and a…

Q: Let f(x) be a quadratic function such that f(0) = −2 and √ x²(x + 5/6 dx is a rational function.…

A: We are given that f(x) is a quadratic function that satisfies the condition f(0) = -2.Also, is a…

Q: Find ƒ if ƒ' (t) = 5 csc(t) (csc(t) + 2 cot(t)), 0 < t < π, and ƒ (7) f f(t) = = -10√/2

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Q: Find approximate the second de

A: Given,          y(x)=(x-2)3