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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 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
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)