2.5.21. Prove the following set identities. (a) (AnB)° = A°U B© (b) A\(BUC) = (A\ B) N (A\ C)

Q: 3.) / sect 0 do

A: To evaluate ∫sec4θdθ

Q: 16 Tt 2c) Compute tan 3

A:

Q: السؤال 3 -Sec2 (). dx tan (5). · dz O ). de tan tan . da O ). dz O tan

A:

Q: a.) √ 1 csc² x+sec² x cosx-cos³x - dx

A:

Q: IF F the Polynemial Eunction is > FCa) = dotan X t azX +..t an X then Fur a mati x A Of n xn, de…

A: The given matrix is A=2045 and the polynomial function is defined as F(X)=X2-5X+2.

Q: If a is a similarity of ratio r and A, B, and C are distinct non-collinear points, let A' = a (A),…

A: Given information: and  are non-collinear points. is a similarity ratio . and  are the non-collinear…

Q: 12. Find tan(2r) if tan(x) = 2 (hint: use a double angle formula). ii) -3 iii) iv) not listed i) 4

A: We know that,  tan(2x)=2 tan(x)1-tan2(x) Given that, tanx=2 tan2x=221-22 tan2x=4-3

Q: For cos2(xy) =-, evaluate y' when x = 1. 4

A:

Q: Q4/ Describe the following sets: {z: e²=i}, {z: e² = -1}, {z: e² = - i}, {z: cos z = 0}, {z: sin z =…

A:

Q: . Evaluate sec z tan zdr

A:

Q: For the function f(x,y,z)=sin¯¹ (4xyz), find fx, fy, and f₂. fx= (Type an exact answer, using…

A: we know   d dx(sin-1x)=11-x2for  fx treat  y and z as constant∂constant ∂x=0fx=∂ ∂x(sin-1(4xyz))

Q: 7. 8. For the function f(x) = − sin(2x) + 3, the amplitude of the function is: a) 1 b) -1 c) 3 (x) +…

A:

Q: Q2. Finel hE2SFnzt.cosst] Hint [2 St. A CosB = Sin CA+B)+SfnCA-B)J

A:

Q: Name the preimage of R'. T' T V' R' R Your answer: O T O V O R

A:

Q: Given preimage AQLU. T(X, y)x-4, y-3) to find AQ'L'U'

A: We have to find the coordinates of new triangle

Q: ferinz 6.³ cos xdx esin x www cos xdx hace values. +C

A: Let's solve given integration.

Q: Ex. 3. the horizontal plane through the point of projection. If a and B are the possible angles of…

A:

Q: 7. 8. For the function fƒ(x) = − sin(2x) + 3, the amplitude of the function is: b) -1 c) 3 (2x)+2,…

A:

Q: 7. Which of the following is a wff of P? Circle your answer. (a) Jvb (b) (3y)(Sy → Sx) (с) (x)(Нх Л…

A: WFF is the abbreviation of Well formed formula which follows certain rules The letters should be…

Q: Q:t. Evaluate Cos ny dy

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: ) Let à = psin(4)u, + p² Ug %3D Evaluate $ Ã. dl given that L is the contour of the following…

A: Given, A→=ρsinϕup→+ρ2uϕ→ The given diagram can be drawn as,

Q: adrilaterals (b) Give a definition of a trapezoid so that only the first four, a, b, c, and d, of…

A: Solution ) a) trapezoid is a quadrilateral in which  one pair of parallel side and other pair  is…

Q: Evaluate arctan(sec t). 4

A: Evaluate arctan(sec ).