Compute: 2. (i J6 -3)(i /6 +2) Answer:

Q: Find the total differential. 4x + у W = 6z - 2y dw II

A:

Q: calculate / SR2 dA Where R = {(x, y)/1 < æ < 2,0 < y< 2æ}|

A:

Q: dy ) Find dr 1 if y = %3D 5z13 Answer:

A: Given,  y=1/(5x+3),  dy/dx at x=1

Q: Evaluate the Ś Ŝ (x²+2xY+ y% ) dy de when Step Size of xz0.2 and step of y=o.5 ? (use -> Trafezoi…

A: let f=∫01∫02x2+2xy+y2dydx with step size h=0.2 we have x0=0.2 , y0=0.5 fx0,y0=0.22+2×0.2×0.5+0.52…

Q: - y² + 22 = 169 at (5,0,12). %3D (1) . i+3 3 3 -) i+ k, 6. 12 12 =) i+k, (d) k. i+

A: In this question, the normal to the curve is calculated using the finding gradient of the function.…

Q: Suppose that f(r, y) = 3x y + 8a? + 4y? then find the discriminant of f.

A: f(x,y) = 3x²y² + 8x² + 4y² So, fx = 6xy² + 16x  &amp;, fy = 6x²y + 8y  &amp;, fxx = 6y² + 16 &amp;,…

Q: M is the midpoint of AB 2x + 1 and MB AM = %3D 1 ond AM

A: Given;- M is the mid point of AB AM=2x+1 and MB=3x-2    Therefore, AM=MB 2x+1=3x-2 3x-2x=1+2 x=3

Q: dy Use separation of variables to find the general solution to dr + 4xy? = 0. %3D

A: We have to sine given differential equation using seperation of variables

Q: Compute divF and curlF for F = -r°(y – 2)i – (2² + y^)j+()k. 422

A:

Q: The Cornev 8-I make outbound A, B. 3. achieve Ax-u38/--12A.B %3D Otrue 2)Err

A: We know that  a×b represent vector product of two vector a and b  a.b represent scalar product of…

Q: R V In ORSTV, VT RS = 4(x 3x 1, TS 2х + 1, and %3D 2). Find the value of x.

A: Parallelogram: In a parallelogram opposite sides are equal. In parallelogram RSTV , VT=3x-1, TS=2x+1…

Q: R. 4. Use the information in the figure and prove that VC = CX, making use of reflec- tions. [UCSMP,…

A:

Q: Find mZB. C 10 10 D mZB %3D Submit

A:

Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

A:

Q: J 5(x) =-J5(x) ylgn O İhi O

A: We have to solve given problem:

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

A:

Q: Find mZR. 2/2 mZR = %3D Submit

A: From the given figure:   With respect to ∠R   Perpendicular=QPBase=QR=2Hypotenuse=PR=22   From the…

Q: t3 dt 6) f Vt2 + a?

A: Given Data The integral is     Let,

Q: AB intersects CD at E. If the m AED = 6x - 20 and m ZCEB = 2x + 60, find the ZAEC. %3D

A: AB intersects CD at E. angle AED=6x-20 angle CEB=2X+60

Q: Solve y′ = t − 5ty using both separable and linear methods, and verify that your answers are the…

A: Given data:   The given differential equation is: y’=t-5ty.     The given differential equation can…

Q: f. . Prove false by creating a counterexample: 9(AUB) C P(A) U P(B)

A:

Q: Prove that : V.(V×A)=0

A:

Q: d. y =x (n* + e*)6

A: Given that, y = x (πx + ex)6 And we have to calculate the differentiation of the given function,

Q: 6. x = t and y = 3t – 2 for 0Sts4 %3D -

A:

Q: Find the DE by eliminating the arbitrary constants |.cʻy² = xCx- )° %3D

A:

Q: x(t) = 121? – 12t, y(t) = -41 + 612 + 9t %3D %3D where t goes from 0 to 1. Answer:

A: Solve the following

Q: Calculate L{uz(t) (t² – 7t − 2)}

A:

Q: 2wt dt/dw = t2 - 2w3 %3D

A: The given differential equation is 2wtdtdw=t2-2w3.

Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: The R2 from regressing Y on X is the same as the R2 of regressing X on Y. True or false?

A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

Q: af Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: 1- 3tE %3D V. 1 a 4-

A: We have to find a formula for Vf.

Q: Show for Re(2) > 1 ez - 1dr = r'(z) 5(2). %3D 0,

A:

Q: d'y where y = dr4 3 Exercises (20.3): Find %3D

A:

Q: Is the equation t²y' (1) t + 4 - separable? y?

A: t2y't=t+4y2

Q: Calculate Vf when f 3x 2- y z' + 4x'y + 2x - 3y - 5 at the point (1, 1, 0).

A:

Q: 2e Evaluate dz by residue theorem, where Cis the contour 2 = 2 c 9z4+45z3

A:

Q: Find mZR. Q 28 28-/2 R mZR = | %3D Submit

A:

Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

A:

Q: Find y' for 4x + 5y* – 1 = 132 at the point (2, – 1). | At (2, – 1), y' = Preview %3D

A: Given: 4x5+5y4-132 To find: y'  at  (2,-1)

Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: (2t – 4 Ost<2 (D? – 1)y = 2 t22 у(0)-0, y'(0)-1 Find L{y}

A:

Q: Find curl (7z i + 8xj+ 6y k). curl (7z i + 8x j + 6y k) = ( Di + ( j+ ( )k

A: We have to find curl7z i +8x j+ 6y k Now,  curlP i +Q j+R k=ijk∂∂x∂∂y∂∂zPQR

Q: Find f. 3/Vt, f(4) = 11, f (4) = 5 %3D %3D f(t) II

A: The given information of the function is

Q: te² i· k) dt V1 – ? 40.

A: Solving by definite integral we have

Q: Find curl (2z i + 3x j + 6y k).

A:

Q: y of the morning shift (from verage worker who arrives on - where Q(t) = –t³ +

A: Identifies was that this concept is used in everyday life such as determining concavity, curve…

Q: Determine the order of the DE. а) y' + у %3D 5у? b) = t dy dt c) y' = y" + 5t2

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Q: 87 V 174x-x2 9Vx2+y2 dydx = %3D

A: