7.) Given f(x,1,2)=x²e (9²2) find: > SPIED A.) x (x, y, z) B.) fy (x,y,z) c.) fz (x,y,z) D.) Syy (x, y, z) 8.) At the Point P (1,2), find the slope of the function $(x,y) = 7x’y in the direction of ū = 43,47
Function f is graphed. y 9 8 7 6+ y = f(x) CT 4+ 3+ 2+ 1+ H4+ 29-8-7 -6 -5 -4 3-2 1 2 3 4 5 6 7 8 9 -2 -3 4 -50 1 A 2+ M من 4 -58 -6 -8 -9 What appears to be the value of lim f(x)? 20+ 07 0-5 Unbounded Function g is graphed. → see y= g(2) 9 8 7+ 6+ 5+ 4+ es 2+ 1+ A+++ -9 -8 -7...
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)
9. Let f be the following permutation in the symmetric group S9, written in two-line notation. 1 2 3 4 5 6 7 8 9 5 9 4 8 2 6 1 3 7 (a) Determine f3121 and explain why your answer is correct. (b) Determine ord(f) (c) Find a permutation p such that p-f
9. Let f be the following permutation in the symmetric group S9, written in two-line notation. 1 2 3 4 5 6 7 8 9...
7. Find (a) the curl and (b) the divergence of the vector field F(x, y, z)= e' sin yi+e' cos yj+zk F.de where is the curve of intersection of the plane : = 5 - x and the cylinder rº + y2 = 9. 8. Use Stokes Theorem to evaluate F(x, y, - ) = xyi +2=j+3yk
a. e. b. f. 7. Given the function f(x) = 4(2)* - 3 , the equation of the horizontal asymptote is a. X=-3 e. y=-3 b. X=4 f. y = -2 c. X= 3 g y = 2 d. y = 0 h. none of these 8. If we apply the mapping (x,y) → (x-3,- 2y + 1) to f(x) = (3)* , the equation of the image is y = 2(3) *-3 + 1 y=-(3)*+2 + 1 =-2(3)*+3+1 y=-2(3)*+3...
8. Let y = x2 cos x, Find y' 9. Let g(x) = -2 cos x, Find g'(x) 10. Find F(x) = (4x + 3)5, Find F'(x) BONUS QUESTION (15 POINTS Let y = (4x - 3)(x - 1)5; Find y"
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
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7. Find fryzx, for f(x, y, z) = 3 + 2?x – xyz + x+y 8. Use the chain rule to calculate that t = 0, if z = sin(xy), x = 1+1, y = 12 + 2t. 9. Use the chain rule to find us at (u, v) = (1,0), when z = xy, x = u +v?, y = x + v.