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# Engineering mathematics formula pdf

Z if x 2 formula 2 3x 3 y f (x) 0 if x 2 3 (2 mathematics 3x) if x 2 3 Checking the formula continuityof the function.

(A) E (XY ) E (X ) E (Y ) (B) Cv (X, Y ) 0 (C) Var mathematics (X Y ) Var (X ) Var (Y ) (D) E (X 2 Y 2) (E (X ) 2 (E (Y ) 2 gate Previous Year Solved.

2 3e D 4D 3 (D 1) (D 3) 2x 2x 3e2x 3e e 5 (2 1) (2 3) 3 # engineering 5 Option (C) is correct.Here order of matrix is 3 # 4, then, we can say that the Highest possible rank of this matrix.4 (A) #0 tan xdx 8log sec x B0/4 9log sec 4 log sec 0 C log 2 log 1 log 2 (B) (C) Let #0 3 x2 formula 1 1 dx #0 3xex dx I 6tan1 x @3 tan1 3 tan1 (0) #0.Potential function of v x2 yz at P mathematics (1, 1, 1) is 12 # 1 # 1 1 and at origin O (0, 0, 0). Of Total cases Probability of getting tail q So the probability of getting Heads exactly three times, when coin is tossed 4 times is 3 1 P 4C 3 (p) 3 (q) 1 4C 3 b 1 l b 1 l 2 2 4#1 #.

So, the area bounded by both the curves is y x2 x1 A # # x0 dydx yx x1 # x0 dx y x2 # yx x1 dy # dx6y @ x2 x x0 gate Previous Year Solved Paper For Mechanical Engineering Published by: nodia.

The limit of x is 0 to 8 but we have to find the limits in the form of y then x 0 to x 4y and limit of y is 0 to 2 So 8 2 #0 #x/4 f (x, y) dydx 2 #0.

The value of x is given by (B) 3 (A) 4 5 5 (C) 3 5 MCQ.30 ONE mark (D) 4 5 The divergence of the vector field 3xzi 2xyj yz2 k at game a point (1, 1, 1) is equal to (A) 7 (B).We solve given equation as follows to gett the intersection points : In y x2 putting y x we have x x2 or x2 x 0 x (x 1) 0 x 0, 1 Then from y x, for x 0 y 0 and.Y So, eigen values are real if full matrix is real and symmetric. 350 Shareware.Gate Previous Year Solved Paper For Mechanical Engineering Published by: nodia and company Visit us dhcp at: full isbn: m chap 1 engineering mathematics Given : page 51 d bones 2y dy 2x 2 4 dx 3y 3e dx d D dx D2 4D 3 y 3e2x The.Given f (x) (x 8) 2/3 1 The equation of line normal to the function is (y y1) m2 (x x1) Slope of tangent at point (0, 5) configuration is m1 f l (x) :2 (x 8) 1/3D 3 (0, 5) 1 m1 f l (x).E # Pdx e # x dx e2 lnx slangman e lnx x2 2 gate Previous Year Solved Paper For Mechanical Engineering Published by: nodia and company Visit us at: isbn: m chap 1 engineering mathematics page 57 Complete solution is written as, y (I.F.). (B) 3 (A) 1 8 4 (C) 1 2 MCQ.43 (D) e 4 /4!

We know that a dice has 6 faces and 6 numbers so the total number of cases (outcomes) 6 # 6 36 And total ways in which sum of the numbers on the dices is eight, (2, 6) (3, 5) (4, 4) (5, 3) (6.

Now finding the intersection points of the curves.

Given f (x) x engineering mathematics formula pdf (in 1 # x # 1) For this function the plot is as given below.

Here the roots are imaginary m1 0 and m2 Solution is given by 3i 3 x em t (A cos m2 t B sin m2 t) 1 e0 A cos 3 t B sin 3 t A cos 3 t B sin 3 t Given.