Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to evaluate the given integral along the indicated closed contour. $z dz; 12-31-7 1 2³(2-1)²
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Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…
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- Use linear approximation to approximation (sqrt√36.1) as follows. Let ?(?)=(sqrt√x). The equation of the tangent line to ?(?) at x = 36 can be written in the form ?=??+?. Compute m and b. ?=m= ?=b= Using this find the approximation for 36.1‾‾‾‾√36.1. Answer:Find the values of constants a, b, c, at which the function will be analytical: g(:)= ax -y +bcos.xchy +i(cry+ sin xshy)Use linear approximation to approximate √36.3 as follows Let ?(?) = √x. The equation of the tangent line to f(x) at x=36 can be written to form y = mx + b. Compute m and b. m = ___ b = ___ Using this find the approximation for √36.3 Answer ____
- Determine the value(s) of x for which the line tangent to f(x) is horizontal. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = (1/3)x3 + 5x2 + 16x − 18 x=Find an equation of the tangent plane to the graph of F (r,s) at the given point: F (r,s) = 3r2s−0.5+3s−3 ;(2,1,15)Gaven the problem and answer, find the formula/solution, whereas the derivative of the given funcion was found.
- State the formula for the distance d between (x1, y1) and (x2, y2).Use linear approximation to approximate √64.1 (64.1 is in square root) as follows. Let f(x)= square root x. The equation of the tangent line to f(x) at x=64 can be written in the form y=mx+b. Compute m and b. m=? b= ? Using this, find the approximation for√64.1 Answer=?Find an equation of the tangent plane at the given point:F(r,s)= 2r3(1/s0.5) - 2(1/s4), (2,1)
- Use linear approximation, i.e. the tangent line, to approximate 1.8 to the 4th powet as follows: Let f(x)=x to the 4th power . The equation of the tangent line to f(x) at x=2 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for 1.8 to the 4th power isIf the area of the triangle included between the axes and any tangent to the curve x^ n * y = a ^ n is constant, then find the value of n.Find the value of x in the figure below if GH¯ is parallel to JK¯. Show your work.