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Find the term containing x® in the expansion of (x + y) #4 The term containing x" in the expansion of (x+y)+4 is
Find the four second-order partial derivatives for f(x, y) = 2x4,5 + 7x®y?. tyy
explicit differentiation find f'(y) explicit differentiation b) In x® + Belly + lng = 0 b) In x® + Belly + In š = 0
Find the second-order partial derivative. Find fxy when f(x,y) = 8x®y - 7y2 + 2x. O A. 24x? B. 48xy O C. - 14 OD. -28
17.2.15 For the function f(x,y) = x® e 7xy, find fx. fy. [4(2.2), and 1,(-2,1).
(5) (20p) Find and classify the critical points of f(x, y) = 7x - 8y + 2xy - x + y®
® Define TELive) T(X,Y,2)=(2x, 48452, 4y+32) by vectors a) Find its characteristic Polynomial b) use a) to find eigenvalues and eigen c) Diagonalize MCT) d) Find adj (MCT) e) Find inverse of MCT)
Find Ay and f'(x)Ax for y=f(x) = 3x®, x= 3, and Ax=0.02. Ay = (Round to four decimal places as needed.) f'(x)Ax = (Round to two decimal places as needed.)
QUESTION 7 Find all the critical points for f(x,y)=-x® + 3x - xy and classify each as a local maximum, local minimum or a saddle point. (9 marks)
find fxy(x,y) if f(x,y)= 7x^2+4y^2-5 Find fxy(x,y) if f(x,y) = 7x2 + 4y? - 5. fxy(x,y)=0