Web1. [25pts] Let f(x;y) = ln(x y2): (a) Find the domain and range of f(x;y): Since the domain of ln(t) is all values of t>0, we have: Domain= f(x;y) 2R2: x y2 >0g = f(x;y) 2R2: x>y2g While it wasn’t necessary to sketch the domain in the xy-plane, here is a diagram showing the region. Note, the domain is shaded in blue, with an WebApr 12, 2024 · Solution For The sum of all the real values of x satisfying the equation 2(x−1)(x2+5x−50)=1 is The world’s only live instant tutoring platform. Become a tutor About us Student login Tutor login. Login. Student Tutor. Filo instant Ask button for chrome browser. Now connect to a tutor anywhere from the web ...
How do you find the linearization at x=1 of #f(x)= 2x^3-3x
WebDec 29, 2016 · 1 Answer Andrea S. Dec 29, 2016 e5x ≅1 + 5x Explanation: The linearization of f (x) is its approximation using the tangent line: y(x) = f (x0) + f '(x0)(x − x0) in our case: f (x) = e5x f '(x) = 5e5x So for x0 = 0 f (0) = 1 f '(0) = 5 and the approximation is: e5x ≅1 + 5x Answer link WebNov 10, 2024 · However, note that for values of x far from 2, the equation of the tangent line does not give us a good approximation. For example, if x = 10, the y -value of the … fantastic sams woodland hills
Find the linearization of f(x) = ∛1+3x at a = 0. State the c - Quizlet
WebJun 19, 2016 · The linearization of a function #f# at a certain point #x_0# is the tangent line to #f# in #x_0# It is given by #f(x_0)+f'(x_0)(x-x_0)#. In your case, #f'(x)=6x^2-3#, and thus #f'(1)=6-3=3# Your line is thus. #f(1)+f'(1)(x-1)=-1+3(x-1)=-1+3x-3=3x-4#. Here you can see the graphs of the function and the line, checking that it is indeed the ... WebFree Taylor Series calculator - Find the Taylor series representation of functions step-by-step WebConsider the function used to find the linearization at a a. L(x) = f (a)+f '(a)(x− a) L ( x) = f ( a) + f ′ ( a) ( x - a) Substitute the value of a = 1 a = 1 into the linearization function. L(x) … fantastic sams zumbehl