Which one of the following functions below have no limit as (x, y) (0, 0)? (Warning: Any wrong check will cancel a correct one!) x* - y? x4 + y2 f(x, y) = x²y³ 2x2 + y2 f(x, y) = X - y f(x, y) = x + y

Which of the following pair of functions linearly independent? i. e3x, e(3x-3) ii. e* + e-*, sinhx iii. 2cos2x, sin?x – cos?x iv. Inх, 31пх*

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Which point on the y-axis lies on the line that passes *****XXXXX through point G and is parallel to line DF? :4 F/ (-2, 0) XXXX 2. (0, –2) O (0, 4) -543-2-, 2 3 4. O (4, 0) D G Save and Exit Next Submit Mark this and return DELL LED

EX: Find the F.T. of the triangular pulse: g(t) = AA (+) Sols Apply differentiation property of F-T g(t) = 2A S(t+1)_4A S(t) + 2A S(t-I) The F. I for the both sides gives. (jw)² G (w) = 2A (NE_2 +2²) (e j들 (JW)³&(W) = 4A (2 ² + 2² (e 2 G(W) = -4A whe - 8A w²t -₁) 8A ( cos 뜰 -1) = 82 (1-005) 2 sin wt 4 At sin wt 2 Wt 4 2 3/4 N 2A T ZA 0 0 8(1)-A(+) =9c How did he get the value inside the circle Hes -9C2A ہم تم at ot

Differentiate two ways: first, by using the Product Rule; then, by multiplying the expressions before differentiating. Compare your results as a check. Use a graphing calculator to check your results. 1. y = x°.x* 2. y = x³.x° 3. f(x) = (2x + 5)(3x – 4) 4. g(x) = (3x – 2)(4x + 1) 5. F(x) = 3x*(x² – 4x) %3D 6. G(x) = 4x²(x³ + 5x) 7. y = (3Vx + 2)x? 8. y = (4Vx + 3)x 9. f(x) = (2x + 5)(3x² – 4x + 1) 10. g(x) = (4x – 3)(2x2 + 3x + 5) 11. F(t) = (Vi + 2)(3t – 4Vi + 7) 12. G(t) = (2t + 3Vi + 5)(Vi + 4)

Please choose the problem that matches the schematic view with the best correspondence.

This lable gives some values for the functions f(x), g(x) and their derivatives rW, g'). O -1 -3 2-e 2 2. 3. 3 3-3 -2 4 -5 Use the table to evaluate the following expressions a) (eg)4 b) (f +3g)' (4) c) (g.F)' (0) d) (Fog) () e) (goF)'(2) f) (Đ) (3) Olm

Express the function in the form f°g 1. 3 G(x) 3 2 а. f)x, g) -2 b fx)x, g) 2 с. g(x) x fx) 2 d fix)x2, g) е. fx) g(x) x3 2 2. For fx) x' +3, g(x) x-10, and A(z) x find fogoh = а. g -10 3 b. (fog h)() x с. (fg.h))= -7) d (fg h)) -(.3). -10)- x -7 = + (x- 3