Question A [10] y' is dy/dx 1. Two particles are simultaneously traveling along the paths y = x2 and cosh(y – 4) = 2x. If the first path is interpreted as yı = x², what can the second path be interpreted as in terms of y2? 2. In calculating the critical coordinate of the graph y = (x)tan! (2x) (in words: x to the power tan-|(2x)) using the Newton Raphson formula, calculate the expression for f(x). 3. For a given f(x) = x2 +a? - a? and xı, do one recursion of the Newton Raphson formula and calculate xz in terms of X1. (a’ is a constant) 4. In geometry, a spiric section, sometimes called a spiric of Perseus, is a quartic plane curve defined by equations of the form (x2 + y2)2 = d x +h y2 +k where d, h and k are constants. Calculate an expression for y' (2+ + y2)2 = d x2 +h y² +k b-a 5. In calculating the average value i = I lidt for the current i = V25 +972 , how will you manage/simplify the content of this integral to ensure that it can be integrated? Calculate the integral but do not substitute the boundaries a and b
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