2. If 4x² – 9y² = 27, show that y" 9y5

Q: O Find reve y (z 3hax

A: To determine: (1)    ∂2y∂x∂z ,  for   y = z14-3 ln ax2-2 ,  a is a constant. (2)  ∫01∫01∫01z3y3x2 dx…

Q: #33 Find y' if YX- XT= 16

A: Given:- y√x -x√y = 16 To find:- y'

Q: 8. If mZW = (5x + 1)° and mZY = (13x – 37)* , find mZY. %3D

A: In the circle.  Find the angle of Y.    as per our guidelines we are supposed to answer only one…

Q: if y = 3x² – 4r³ + 3ª + VI + a, then dy/dr is:

A: Given that     y = 3x2-4x5+3x+√x+π Here we have to find dy/dx . We know that        dxn/dx = nxn-1…

Q: If z + 60 = 3z – 20, show that z = 40. - If = y, show that y = 2, -2. %D y If 4x – y = 8 and 2(y– 2)…

A:

Q: dy Find if y 3e2 3z 一山 %3D O -9e 2

A: Using chain rule of differentiation.

Q: 4.3 Verify that for f(x, y) = 4x°y$ - 9x*y³. дх ду ду дх df

A: Explanation of the answer is as follows

Q: 2dy Уу+16)

A: Solution of question as follows

Q: if 50% of 2y is 12, what is y2

A: 50% of 2y is 12. That is,

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

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

Q: Differentiate implicitly to find 3xy +4y°z-2x = 3

A: Given query is to find the derivative.

Q: 2r 20. y4y+13y = re² +

A: Here we have to find the general solution of the second-order differential equation…

Q: IF Y= 2x² + 5x dy and d = 4, find at when x = 3.

A: See this solution in below

Q: 3.2 find fxxy: flxiy) Bx*t 2€y?+ qxy!

A: when differentiate with x then y should be constant and when differentiate with y then x should be…

Q: D Question 18 Differentiate. y = (9x+5)*

A: 18. To differentiate: y=9x+5x

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

A:

Q: If 23+15 42+5 then %3D The value of x is

A: Given 23x+15 = 42x+5we know that 4=22so, 23x+15 =22(2x+5)⇒23x+15 =24x+10

Q: (5+2y)* dy

A: (6) Given- ∫-2-35+2y4dy To find- The value of the above integral. Identity Used- Using the power…

Q: of (x, y) = a? + 4y

A:

Q: If t²y" – ty – y = 0 ,y(1) = 3 and y'(1) = -1, then y(4) = . . . %3D

A: Given differential equation, t2y''-12ty'-y=0,y1=3,y'1=-1 Find the value of y4.

Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

A:

Q: Show that the equation x+y+z=4,2x+5y-2z=3,x+7y-7z=5 are not constant

A:

Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

A:

Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

A:

Q: 25. y' = 3.2y – 10y2

A:

Q: flx, y)=5x8-78 39. If find Fand Jy.

A:

Q: If mQT = (27x + 3)', mRT = (9x – 5) and mZRST= (10x-2)', find mRT. %3D T R. mRT

A: According to the problem, we have The Secant-Tangent Theorem says that  Measure angle RST=…

Q: If 4x5 − 2y5= 25, show that d2y/dx2 = −100x3/y9

A:

Q: dy 4. if y = csch-1 2º . de

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

Q: · ds, where y²+² and S is the

A:

Q: Find a if y = 16+ secax 6x %3D

A:

Q: In v3 2e" Ve2a + 1

A: I =∫0ln32 exe2x+1 dxTrigonometric substitution;ex = tan uex dx = sec2u duu = tan-1(ex)x = 0 → u =…

Q: If (4x~ + xy ):(3xy – y²) = 12:5,find xxy ,

A: Given,

Q: If y = 4x2 + 2x4, and x is changed from 3 to 3.01, then the value of dy is.

A: The given function is: y=4x2+2x4 Now, given that x changes from 3 to 3.01. So, ∆x=3.01-3=0.01. So,…

Q: Find at (2, -2, 1) if dy x2 + y? + 22 = 6xz + 6yz + 21 %3D

A: Given that x2+y2+z2=6xz+6yz+21 Then we have to find ∂z∂y

Q: 1. Determine the length of y = 1 + 6x3/2 between 0<x<1.

A: Use formula of arc length.

Q: Given that y = (2e - 6x +5), show that

A:

Q: if (y+ 4)² = x + 2, then + 2, then dy

A:

Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: If mQT = (27x + 3)', mRT = (9x –- 5)° and MZRST = (10x– 2)', find mRT. T R

A:

Q: Find x+y, if: 5x+8y=67 and 2x-y=31

A: Given

Q: (b) x²d²y dr2 dy + 16y = 0 + 9.x- dr

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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

A:

Q: 32. If WY = 15x - 2 and XZ = 9x + 10, find WY. DELL

A: Here I am solving question 1 if you want the answer of second question repost the another question…

Q: 3 If y=/x²5x²_36 x²_3x²+¥x-12 | shuw that dy dx4 24

A:

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: 2. If x² - xy + y² = 3 find y' and y".

A:

Q: The number of units in Z29[x] is

A: Solution by using definition of unit elements

Q: O foxy) = senx + seny + Sen(xg) t1 %3D 2 fcxry) = xe y concet)t 8x

A: