p) Classify the following models as ARIMA(p,d,q). i) (1-B)x, = (1-0.3B),. ii) (1-0.5B+0.25B²)Vx, = (1-0.2B)z,.

Q: 3.Find [, (3x² + y)dydx -2

A:

Q: Q2. (a) Find the overlapping area of two equations also give its geometrical representation: u? + v?…

A: Since, these equations are of the form  (x - a)2 + (y- b)2 = r2  which means both the equations are…

Q: (xy+ yz+ xz)dV B = {(x, Y, 2) | 0 < I < 5,0 < y < 4,0 < z< 7} . Do not round. Hint: dV can be…

A:

Q: (b) If z r+ry- y7, 1= u+ and y = 2uv, find: in terms of du %3D u and v.

A:

Q: dw d?w w = (3t + 2)(3t- 2), find and dt dt2

A: Derivative is a rate of change of a function. The derivative of function gives the slope of the…

Q: (x + y + 1) dx dy

A:

Q: d'y Given: y = ax + bx³ + cx² + dx + e, where a, b, c, d, e are constant, find dx5

A: Topic:- derivatives

Q: Find V. (F x G), if F(x, y, z) = 16xi +j+8yk and G(x, y, z) = xi + yj - zk.

A:

Q: 18. The drawing on the right shows a tangent drawn to a circle at the point P(x; y). Write down the…

A:

Q: find FCx)= (i)G)", X =0,1.2 .

A:

Q: Find if xy? – 4x³y² = -3 at (1,1). dx 11 A) - 6 B) - _ 11 10 C) 13 13 D) - 10 A В O c O D

A: The answer is given below:

Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

A: To solve the line integral ∫(2x - y)dx + (x + 8y)dy over the curve C, which is the x-axis segment…

Q: vx(A x s) = (B · v) A - (a.o)o +a (v-t) – 3 (v. A) %3D

A:

Q: Evaluate the value of I = (4,0). I = Sleby. r 3x) dx + (6xe6y + y)dy, where I is the straight line…

A:

Q: b) Evaluate the value of I = S(e³y – 3x)dx + (6xey + y)dy, where C' is the parabola - C (0, 0) to…

A: One has to solve it by Green's Theorem.

Q: Find the midpoint of CD. M = (, X1+X2 _Yi+Y2 2 %3D C= (10,-1) and D = (-6,3) ([ ? ],[ ])

A: We can find the mid point of CD as below

Q: C is the circumcenter of APQR. PC=3x+7, RC=5x-15, & QC=51-x R P PC=[? ] Q

A: C is the circumcenter of ∆PQR. PC=3x+7, RC=5x-15, &amp; QC=51-x

Q: Find the (2x + 1)³ dx A. (2x + 1)2 +c (2x + 1)3 + c 8 С. (2x + 1)4 + c D. (2x + 1)* + c 4 B.

A: We have to find the indefinite integral of given function

Q: Given that F = (2x + y2)i + (3y – 4x)j. Verify Green's theorem for F.dr around the triangle formed…

A:

Q: If Sf(x)dx = 5, i f(x)dx = 2, and Sif(x) dx = -1, find f(x)dx. %3D %3D А.) -2 В.) 2 С.) -3 D.) 3

A:

Q: Q1: If w-f(z)=z'-z²+2z+2 find u and y and calculate the value of f at z-1-21. V.

A:

Q: 2. f(x,y)= 2x + 6xy +y

A: Partial derivative

Q: The order and degree of the D.E. (²² dx³ a. (3,4) O (a). c. (2,1) O (c). (b). = b. (4,3) dy 1+ is dx…

A:

Q: 3.Find [, L (3x² + y)dydx

A:

Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O…

A:

Q: Find y' given ay?- 3x²y+7y1 = 8r.

A: We will find y' as following.

Q: If v = 3i - 6j and w = i + j, find (v . w)w.

A: Given:          v=3i-6jw=i+j Using the component formula for the dot product of two-dimensional…

Q: dy : Find if dx 3.x 2) x - y 4+ y x +y 4) xy² x - y

A:

Q: Find fyry. „6,5 f (x, y) = x°y% – 2x°y+ x %3D f yry

A:

Q: ScF· dĩ, where F(x,y) = (6x - 2y)7+x²7, and C is the line segment Evaluate from (6, -3) to (0, 0).

A: