dy iven x² + 2y² = 9. Then, dx2 A 64x2 B) 4y3 O 32 xy 16 D 9y

Q: (I'o67 =7 %3D 2. of

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Q: Consider ,- (x3+y²). Evaluate dx² O (9x4+6x)e «³+y?) O (6r²+ 3x)e (x³+y?) O (6x4+9x)e (x³+y?) O…

A: The formulas used in the solution are as follows: 1. Chain rule: df(t)dx=dfdt·dtdx 2. Product rule:…

Q: finn D2:- knowing thet fcxy,Z)= tavm of C in dx そ= X+y Z= X

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Q: what is the Solution ofequation とdx +(2Xlogk - メy)dyニ。

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Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

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Q: How. salve the diff. cquh (4y-cosy) dyldx-3X2-0 7. 74/0/=0

A: Given problem:- Solve the Differential equation  (4y-cos(y))dy/dx-3x2 =0 , y(0) =0

Q: Find ST in rectangle RSTU. 4z+15 R. T. 5z+1 ST = %3D

A: The given figure is of the rectangle and opposite sides of the rectangles have the same length. So,…

Q: dy Suppose ax 3 and y( ) = 2. 1+9x2 3 T What is y( 4 )? Оп O 2.261 O 2 IT 4

A: See below the answer and calculation

Q: dy If dæ 4x³ + 3x? + 6x and y = -3 when x 1, fınd y. |3D

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Q: If z = 3x2 – 2y3, x = 1+ s²t and y = 33 – t2, then dz %3D O a) 6x(1+ s²)+ 12ty O b) 6s²x – 12ty - c)…

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Q: 2y+8 2xe to %3D y10)=8= , yco= 2

A: I have solved by using formulas and series expansions.

Q: 3x + 나y는 10 to Qx +3y = 7 %3D

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is  augmented matrix is

Q: dy Given x-4y2 = 10 tind and simplify 4x/y 4x O/4y

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Q: d. y= xsin.r [0, 2r]

A: the given curve is  y=xsinx,   0, 2π

Q: If y = 3, then dy de 3x+2" |3|

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Q: d?y Determine if: 2x2 – xy + 5y2 = 7 dx2

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Q: ay is 8. If y = arccot then dz a. 4 b. 64 C. -4 d. -64 16 +x 16 + x? 16 +x .2 16 + x?

A: topic - derivative of a function

Q: Find ƒx (x, y)  and ƒy( x, y) .

A: fx(x,y) is the rate of change in f(x,y) in x-direction. We can find the same by finding the…

Q: Find x²dA where R R = } {(x, y) | 4x² + 16y? < 64

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Q: then find x²°u +2x)y əxəy If u = (x – y)f(y/x), a2u then find x2 dx2 a2u + 2xy дхду

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Q: Use the substitution u = :) 2x to evaluate dx 4x² +1

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Q: f(x, y) = 3x – 2y x² + 2 + 2y? = 275

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

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

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: dy Given x2 + 2y² = 9. Then, dx2 (A 64x2 B 4y3 (© 32xy 16 (D 9y

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Q: (a) y' = = ing 3t²y y+1' are probler y(2) = 1 biems

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

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Q: dy 4. х dr =x³ – 2y, given x =1 when 47 y=3 y3= - - 3 15x2

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Q: That sove dy dz² -244 %D 2

A: Given,           y3-y=2x

Q: dy Find if dx 6x2 + 6y 19 %3D 6x + 3y2

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Q: If x?y + 3y4 = xtan(y) + 2x d²y Find the value of dx²*

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Q: In AFGH, mZF = (3x – 15)°, m/G = (8x +8)°, and mZH = (2x + 18)°. %3D %3D What is the value of x?

A: In ∆FGH, m∠F=(3x-15)°, m∠G=(8x+8)° and m∠H=(2x+18)°

Q: 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0 - -

A: First I have written the auxiliary equation of given differential equation and then find its root…

Q: vz 3y 8-x2-y? 1. dzdxdy 0 0 x2+3y2

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: f mAD 11+ 19 and mCD=13z %3D

A: Given:   To find : 1) Value of x 2) Value of mCD⏜

Q: If x = t² and y = t³, then y O t 3/4t O 3/t Other: = ?

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Q: nJI = (3x + 2)', MHLK = (15x – 36)', and mZHMK = (8 %3D %3D K D 138 O 140° O 204 O 151 1 2 3 4

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Q: (a) E= 1.5x10-12 J, Q = 1.6x10-19, V = ?

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Q: dy Q 3-Find t=3 if y+ 4x2 = 7, x+ %3D

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Q: d'y If y = x° + 5x, then dx? is %3D а. бх + 5 b. 6x с. О d. None е. 6

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Q: dy Given y = 2u? and u = 8x – 1, then dx - 8(64x? – 2x + 1) 0 خيار 4 48(8x – 1)2 0 خيار 3

A: The derivative of xn is calculated using the formula, ddx(xn)=nxn-1 .

Q: 4. If RSTU is a rectangle with RT = 5x-14 and US = 2x + 10, find x. S R U T

A: We have to find value of x? Given: RT=5x-14 &amp; US=2x+10

Q: then, a:b=2:63 %3D 9s it true on balse ?"

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Q: Given f(x, y, z) = 6x2 + 2y? + 3z², find

A: Given,          fx,y,z=6x2+2y2+3z2

Q: C' (t) = (20t + 28) /2.5t² + 7t, for 0 <t < 15, %3D

A: Solution

Q: зв. | Evaluate ф. - dz where C:z-2| = 2. (z³ – 5z² +8z –4) 3

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Q: If x?y + 3y4 = xtan(y) + 2x d²y Find the value of dx2'

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Q: What is Af and df of * 12.8 y = if x1 = 10 and x, = 10.24 ? %3D

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