Find fx (x,y). f(x,y)= e - 4x + 3y O A. fx(x,y)= -4 e - 4x OB. fx(x,y) = -4 e - 4x + 3y O C. &x(x,y)= e = 4x+3 OD. &x(x,y)=3 € -4x+3y
Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96 OC. 6 OD. 8 Find the equation of the tangent line to the curve when x has the given value. f(x) = Tx 5 ; X= 4 4x O A. y=-25 8 5 OB. y = 13x - 16 O c. y= - 39x - 80 х OD. y 1 + — 5 20
3. Given f(x,y)= sin?(2x+3y?).e***; (a) Find f (x,y). (b) Find f (x,y).
Graph the following system of equations for all values of x indicated. 3y = 4x for x = 0 to x=6000 y = 4000 for x=0 to x = 6000 Tests Choose the correct graph below. 04 OB Oc. OD. AY 10000 Y 6000- 100001 6000- Q 7 х X 0 X 0 6000 10000 0-4 0 6000 10000 Click to select your answer and then click Check Answer
For the function f(x, y) = x + xy – 2xºys – 3y*, find the following: 13 pts) a) fx b) c ) $x(1,1) d) (1,1)
Find values of x and y such that both fx(x,y) = 0 and fy(x,y) = 0. f(x,y) = x² + xy + y2 - 3x +2 A. X=2, y= -1 OB. X = -2, y=1 O c. 1 x= 1, y = 2 OD. x= 0, y = 0
Help me solve this question asap 4 Th e centre of a circle lies on the line 3y-4x-11 and the circle intersects the y-axis at the points (0,-1) and (0,11) a) Find the equation of the circle. b) Find the possible values of λ such that the circle passes through the point 4 marks] 2 marks] c) Find the coordinates of the points where the circle meets the line y-x-11-0 [4 marks] 4 Th e centre of a circle lies...
4. Suppose (x) (3+4x)+e*. a) Use analytic methods to show f (x is one to one. b) Find () (28) Suppose g (x)--fx-12 + 3e 30-1 5x + e 2-x-8x + 17 . ₩5. c) Use analytic methods to show g(x) is one to one. d) Find (g") (4) 3x-2 6. Find the equation of the tangent line to the curve y -at the po int (Q,e)
17.2.15 For the function f(x,y) = x® e 7xy, find fx. fy. [4(2.2), and 1,(-2,1).
Given two linearly independent solutions yı=e, y = 4x of y" - 3y' + 4y = 0, use the method of variation of parameters to find a particu "-3y' - 4y = 24 Select the correct answer.---Submit your work when you complete the test. b. Y* 7 c. 3p = x et d. &p=g e. Yp 5