P(A) = %3D P(A U B) = %3D P(A U B) : %3D

Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 (D3 + 3D2 + 3D + 2)y = 0 -

A: 2) (D3+3D2+3D+2)y=0 The auxiliary equation is…

Q: omplete the term-coefficient-degree t yA - y3 + 15y2 + 2y

A:

Q: Outcome P(A n C) = %3D P(A n D) = %3D P(B n C) %3D P(B n D) = %3D

A: Given that,

Q: V4x² – 49 (b) dx

A:

Q: ions: a). f(2) = ea %3D 22 +9'

A: As you have asked two unrelated and different, we shall answer first question only as per the…

Q: (c) x (x1, x2, x3) = 6x1x2x3 + +3+x}-I (d) ¤(x1, x2) = e-rl %3D 2x3+2x3+2x}+5 %3D X2+3

A:

Q: f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

A:

Q: ydy 3. Jo (a2 – y2)z

A: Topic:- integration

Q: fxe* dx= O a. -xet* 4x 4 16 O b. 4х 4х e 4 16 xet* e4x +c 4 4 d. 4x 4х 4 +c 16

A:

Q: (D 3)²y = e*.. %3D

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: b) f(x) = e*;a = 2 %3D

A:

Q: y = C,e¬x + C2e¯-2x + x y = C, + C2e³x

A: See the details solution in below

Q: a) -x +y - z = 0 2y + z = 3 z = 0

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 5. (D4 – 2D3 + 2D² – 2D + 1)y = 0 |

A:

Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).

A:

Q: (x-C,)' + y² = C;?

A: (b) In this question, we have to find the differential equation for the family of curves.…

Q: E (X² + Y²) E (XY)

A:

Q: ( 9) (2D - D') ( 3D + 2D' + 4)(D² - D')z = 0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: | d²y +y³ = 0 dx² is not linear. صواب İhi

A: True

Q: (ii) Find P 0<Y =D1 %3D

A:

Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

Q: y" + 4y' = 3sin2t + tcos2t %3D

A: The solution for the above question is as shown below.

Q: = e-t et + 2e²t e2t-3et - е

A:

Q: None

A:

Q: d²y Find if y = , dx2

A:

Q: Fx F Fy bl Fx = 3 Fy = 7 b =

A: tan(theta) = Perpendicular/Base Note that, the side opposite to the angle is taken as perpendicular.

Q: y" - y' - 2y= e* %3D

A:

Q: 4. a) P (Pink) = %3D b) P (Red) = %3D Green Pink c) P (Green or White) = d) P (Yellow) = %3D White…

A: From the provided information, there are 5 colors, which are pink, blue, red, white, and Green.

Q: 18. (D² + 36)²y = 0 %3D

A:

Q: d²y х? — Зху - 10у - 9 %3D0 dx?

A:

Q: Tpy and B= -1 x² + x² + y² + 1 A<B

A: We have,  and,

Q: Calculate the value of D in detail D3 – 2D2 + D - 2 0

A:

Q: P (Likes spicy food | Masters) = %3D D. P (Masters | Likes spicy food) = %3D F. P (Juniors and Does…

A: Conditional Probability

Q: %3D %3D a. m 1 b. mZ2 X C. mZ3 P. T

A: Given: 1. PT is tangent. 2. mMXP⏜ = 186°3. mNP⏜    = 90° 4. Point 'O' is a center of the circle.…

Q: 04+3D³+3D²+ D)y=0 55– 2D³+D²)y=0 O5+3D4+3D³+ D²)y=0 04+D²+1)y=0

A: Solution of the problem as follows

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

A:

Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

A:

Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D

A:

Q: II Σ Ef Xm %3D =

A: Reviewing information, Given age distribution of registered participant in singing contest Ages…

Q: C. h(x) = V5x - 6 %3D

A: the given function h(x)=5x-6

Q: a2– x2 (x+y)dæ dy

A:

Q: a. P(X = 5): %3D b. P(X 5):

A: Given: X follows Binomial distribution with parameters n = 9 and probability of success p = 0.3 q =…

Q: dF h(x) = x² + 5x – 1, g(-8) = 3, g'(-8) = –9, and F(x) = g(x)h(x). Find %3D dx

A: We know, ddx[u(x)v(x)]=v(x)ddx[u(x)]+u(x)ddx[v(x)]

Q: 3 -dp 72 + x2 Integrate: + C

A:

Q: e3x-y+z (e*)³e² ey True False

A:

Q: %3D18 SK+y%= {x-zy=9 11

A: Given query is to find the solution of the system.

Q: 3x d.A, A= {(x; y) E R² : y E [0, 1], x € [y, e®]} .

A: Given: A double integral ∬A3xdA, A=x;y∈R2:y∈0,1, x∈y,ey ∬A3xdA=∫01∫yey3x dxdy=3∫01x22…

Q: S(3x².fu)+x°, f'(x) dx =24 so, so, f(2) = ) %3D

A: We have to solve the given question. Derivative of the function f(x) can be written as f'(x) Product…

Q: Find FG. FX+ 11 G. 3х + 1 E 14 FG %3D

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.