If i = xi+yi+zk then grad (r") is equal to

Q: 21. Кх, у) 2х -у ys 4x + 6 5 * 4y s 7 2r + ys7 бу X-6y z 10

A: Step-1 f(x,y) = 2x-y            y ≤ 4x+6 ⇒ 4x-y ≥-6            x+4y ≤ 7           2x+y ≤ 7…

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A: The general form for Euler's method is given by yn=yn-1+hfxn-1,yn-1.

Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: |(7) In general, SUT S (SUT)', but (SU T)' S°UT. Pra

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Q: 2. the rate at which the total average number of COVID cases is increasing at x = 10 tents and= 1…

A: The solution for question no 2 is given below:

Q: Suppose that two people standing 6 miles apart both see the burst from a fireworks display. After a…

A: Suppose that two people standing 6 miles apart both see the burst from a fireworks display. After a…

Q: & b. su j+ byz²

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Q: - a°y°, show that fæy = fyx. 85 Problem - 24: Given f(x, y) =

A: Solve the following

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Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: 26. у" + 4y' %3D sec 2x

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Q: 2 X- - SS. T dydx

A: ∫1-1∫0x2-1dy dxWe need to evaluate the above double integral.

Q: the rate at which the total average number of COVID cases is increasing at x = 10 tents and = 1 tent…

A: Given: Let x=10 tents  &  dxdt=1 tent/ day  And, 25 tents are built (i.e) x=25.

Q: [d] If xz = yz and z - 0 then x = y

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Q: x*y" + xy'+4y= 2x Ina

A: Cauchy linear differential equation

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A: Find the derivative

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A: Please ask only one question at a time.

Q: Integraate :S, 22+x+! d>x 2.

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Q: 7. dz | zV 36z2 - 25

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Q: Evaluate S ( + - + e²+ =) dz 3 · 3z 21² In x++²x+}x+ + C Option 1 √√(x³)x= √√√x + √2x+C I- Option 2

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Q: 3. From Eq. (1), deduce that U2n-1 2. U2n 2. %D %3D n 2

A: 3

Q: et A be 4X4r nas non-brivial . -son-

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Q: 9. If x2-xy + y2 = 3, find y' and y", %3D

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Q: ==, j= 4 and x=0 about tue liney=5

A: Disk method: -  When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: .1//3 7earctan(y) dy + y? 3

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Q: 3. If z* +x²z+z+y = 0 find (1) Əz/ax, (2) əz/əy, (3) ²z/dx², (4) d²z/@y², (5) Fz/dxəy, and (6)…

A: As per our guidelines, I am only solving the first three. For other kindly upload the question…

Q: 2) Show that La- (1 – x²)P',(x)P'm(x) dx : 21(1 + 1) Sim. 21 +1

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Q: 2こx+iy 2 Recz) =l 3-i1 if 121 =2, then

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Q: 3 1-Vy dy 2 2у3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: If A= and D = A+B and d2--1.d, 2 then 1. x=-1.y = -1 2. x=-1.y = 1 3. x=-2 y =1 4. x-2. y --1

A: We have to find the required values of x and y .

Q: 1) If Var(X-Y) = 2, Var(X+ Y) = 4, E(X) = 3 and E(Y) E(XY)? = 1, than what is

A: According to bartleby experts guidelines we can answer only question. Rest can be repost.

Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' & 'y' x=2y2-4 Now solve…

Q: If In(ax)dx = 2, then a = %3D 1

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Q: (x) = 3x +12x+2, %3D ues of a, b and c such that

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Q: 4. The line 3x + 2y – 10 = 0 is perpendicular to Ax + By + 1 = 0. Find the possible values of A and…

A: Consider the set of simultaneous equations, 3x+2y-10=0………(1)Ax+By+1=0…………(2) Let m1 be the slope of…

Q: - seyi + avīj + () dt = 3 3

A: We have to perform integration by parts and then insert given limit

Q: 3. Obt nin the parh cular folu tion 9. xdx - ydx + 3x dy +ydy = 0 ; wun x - 5,4= -:

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

Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: Find y' if exy = e 4x -esy-

A: NOTE: Refresh your page if you can't see any equations. .

Q: لله √ √³ √ √² zysin(2² + y²) dz dy −

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Q: 15. If mOT = (27x + 3)', mRT = (9x - 5)° and MZRST = (10x – 2)°, find mRT. %3D %3D R S.

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Q: 7) [[3embch5y] dvl [jel*5) dy] „In[sec h 5y]

A: Using rule of logarithm & integration formula of sech(x)

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Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: If we use the secant method on fx) = x+x+3 with x2 and X-1 = 1, then X, is

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Q: 2. In AXYZ, PQ || XY . If XZ = 15, YZ = 12, and ZQ = 8, what is ZP? 2.

A: Use concept of similarity. In similar triangle, ratio of corresponding side are equal.