X2 , 1 avuu. 3 VA 3. x = y3, 0 sy s1 about y-axis.

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

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Q: y = 7xe-X, y = 0, x = 3; about the y-axis

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Q: b. min f (x, y) = 3x² – y² s.t. 2х — 4у 3D —11

A: Minimum value of function is determined using lagrange multiplier and its value is -33/4.

Q: Find y' and y". y = Vx In(x) y' = y" II

A: Given query is to find first and second derivative of the expression m

Q: 4.) y = VT, y = 3, x = 0 around the y axis %3D

A: Given, y = x1/2, y = 3, x = 0, we have to find the volume by rotating about the y-axis.

Q: i) Pre that at the Point x- of the Crerve Y: 4m-S, the radices of cervatune f' 5is

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Q: y = x², x = 1, y = 0; about the y-axis

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Q: Evaluate: xyze-(a+y+z) dxdydz 0.

A: The given problem is from the calculus and subcategory triple integration here in the given question…

Q: %3D 0 аnd y' ) = vz 2. у(x) %3D Сisin2x + Czcos2x + 1; C1 = C2

A: Given  y(x) = C1sin2x+C2cos2x+1 On applying the initial condition yπ8 = 0 , we get yπ8 =…

Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

Q: y Find the length of the curve x = on 3<y<5. + 18 2y 3.

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Q: find the volume of the solid

A: Given:y=x, y=2x and y=6, about the y-axis.Graph of the function is

Q: c. x = t3 and y = 2t2 /2, 0<ts v3 3 d. x = t2/2 and y = (2t + 1)7/3, 0<t< 4 %3D

A: 1)x = t3  &amp; y = 2t22,  0≤t ≤ 32)x = t22  &amp; y = (2t + 1)323,  0≤t ≤ 4

Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: y = 2 – x², y = x²,x = 0 about the y-axis

A: Given y=2-x2, y=x2x=0 To find Volume  about y axis By using shell method Intersection Point  x2=2-x2…

Q: Q.2 JJR ex2-2 dxdy, where R between x2 =-y, y = 0 and x = -3 , y = -9

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Q: y"'-3y"+2y'=t+et

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Q: y(t)+5 y(t)+4y(t) = 2e" -21 %3D

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Q: x3y5 Q3: Let x = 2 ± 0.005 ,y = 10 ± 0.01,z = 20 + 0.01 find u = %3D And fined the error ?

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Q: Q3) If y² + xy = 1, find y" at the point (0, -1)

A: We will differentiate twice and find the value of y" and it will be equal to,   - 1/4      The…

Q: 7. y = sec x, y = V2, -TT/4 sxS/4

A: y = secx , y = 2,   -π4≤x≤π4

Q: 1.f AXYZ - ARST, find RS. 40 3x +2 Sx -3 T. 60

A: Triangle Question

Q: Mini m.zC W= 35y, t 6Yy,a t 52%x SubJect to: 5y,tty, t3yz E 12 +773 z8 Y2 z0,

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Q: the va q² +y? +æy ) at x = 1 and y = 3 is %3D

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Q: eY+Ve2y-4 5. x = In sove for y“ 2.

A:

Q: Find the length of the curve x = 3t2 + 10, y=2t3+ 11, O<t<1.

A: Given,         The length of the curve x=3t2+10 , y=2t3+11 , 0≤t≤1We know that,         The length…

Q: dw if Find = x* - xy+ y b) wax?-xy*; x-e* )3メーメ ; ×=t° X = e y=cost ?

A: I have given an answer in step 2.

Q: xy = 9, y"' at x = 1, y = 9

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: Evaluate 2y dS where S is the portion of y +z = 4 between x = 0 and x = 3-z.

A: To evaluate ∫∫S2ydS where S is the portion of y2+z2=4 between x=0 and x=3-z

Q: Q2) Compute y(x) then estimate y '(0.24) -1 y -0.4596 I 1.5838

A: Linear Assumption: For calculating the y(x) value we calculate slope value from the given tabular…

Q: Approximate y(2.1) using the points (2,0.693147) , (2.1,0.741937), (2.2,0.788457), (2.3,0.832909),…

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Q: Find the extrema of (x+1)(y+1)(ax+by+c) Where a=8,b=7,c=6.

A: Let F(x)=(x+1)(y+1)(ax+by+c)       Where a=8,b=7,c=6. Or     F(x)=(x+1)(y+1)(8x+7y+6)…

Q: Find y it 12 22. O Sulu Hle Sltany equanar t 2y=7, x+=17 (3)

A:

Q: dædydz (b) (1+x + y+ z)*

A: Kindly go through the explanation

Q: The ordeng and transportation Cost C Cin hundred of dollars) for automobrle dealership is modeled by…

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Q: I Y=t5メPYove th y-2(21くるど

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Q: y'' + ly = 0, yl - 4, y' s'(=) - 2 y(t) =

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Q: Q.2 R ex2-2 dxdy, where R between x = -y, y = 0 and x = -! -3, y = -9

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Q: y(2x- xy ty')da-x (2x-y) dy =0, when x(4):0 %3D

A: Given: y(2x² - xy + y²)dx - x²(2x - y)dy = 0, when x(1/2) = 0

Q: y = 1+(t- y), 2<153, y(2) = 1, with h = 0.5 %3D %3D

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Q: Sove the IVP y" + 2y' + y : if 0 4

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Q: y = x, y = 3x; about the y-axis

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Q: Q5)The distance from the point p (2,-3,4) to plane x+2y+2z=13 is 3 * .units F T

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: find the me value of funchio fix.y) = Sn+ 1y %3D 2n+y32

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Q: T(x,y) = x + xy + y - 12x + 2 on the rectangular plate 0sx<9, -5<ys0

A: We have to find absolute minima and maxima of given function.

Q: 4. x = 9-y2 ,-2 <y S2 about y-axis vis

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Q: What is the y=x excos 2x? (A (B) (D²+5)² C D²+5 D (D²-2D+5)² D²-2D+5 annihilator for G

A: Solution

Q: Determine y(4) for y=ax³ +bx+c where a,band care constant. (a) 6a

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.