Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to evaluate the given integral along the indicated closed contour. 9 $2²0 dz; 121= = 6
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- Use linear approximation, i.e. the tangent line, to approximate √36.4 as follows: Let f(x)=√x , f(x)=x. The equation of the tangent line to f(x) at x=36 can be written in the form y=mx+bUse 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 ____Find the value of the given integral Where the value of b=8
- 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:Match the graphs A, B, and C shown with the functions ƒ(x), ƒ'(x), and integralUse the substitution formula I am is the first picture. f(u) du where g(x) =u, To evaluate the following integral
- Solve the following integral Where & is the line segment that joins the point P1 (3,12) with the point P1 (-4, -6) In the direction of P1 to P2Use linear approximation to approximate√25.4 as follows.Let √f(x)=x. The equation of the tangent line to f(x) at x=25 can be written in the form y=mx+b Compute m and b.m=b=Using this find the approximation for √25.4.Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the following curves on the given interval. y = e-2x on 30, 24
- use a geometry formula to find the exact value of the definite integral 4x dx on the interval [0,b]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 isWrite and evaluate the definite integral that represents the area of the surface generated by revolving the curve on the indicated interval about the x-axis. y = square root 25-x2 −1 ≤ x ≤ 1