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- Let F = (2e), 5 sin(x), 8 cos(x)). Calculate div(F) and curl(F). (Use symbolic notation and fractions where needed.) div(F) = curl(F) = =arrow_forwardConsider the following function. x³ 36 dx (a) Determine an appropriate trigonometric substitution. π Use x = 6 sin(8), where - SOS- 2 Use x = 6 tan(8), where π 2 TU ST 2 π O Use x = 6 sec (0), where 0 ≤ 0 <- since the integrand contains the expression √6²-x². 플 since the integrand contains the expression √6² - x². 3π orn S or π ≤ 0 < 37, since the integrand contains the expression √√6² - x². (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. x³ √√²--|( dx = /([ 36 dearrow_forwarda) Let f(x) = 71[-1,1] (x). (i) Show that f(x) = sinx. (ii) Using the Parseval's theorem, deduce the value of Your answer L. ( 88 sin x T 2 dr.arrow_forward
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