Which one of the following equals IVy dz dy.

Q: f= x? + क) | + ला (i) of =? (üi, af मु] liv) of

A:

Q: oS% (x? + y? + z*) dz dy dy

A: Solve the following

Q: ex-folve the OE dy to Hw→EXact ??

A:

Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

Q: Which one of the following equals -3 0. Ey da dy. Jo

A: The given integral is: ∫03∫-9-y20 x y dx dy

Q: 1. Evaluate (i) dy dx, 3

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Q: Solve the following: aDx aDy aDz Əx Əx Əx if D %3D 2хya, + x?а, + ху?а,

A: D=2xyax+x2ay+xy2az

Q: dx If - = Sh(8) d®, then h(0) de = ... V(4+x2)3

A: We will make use of only the basic techniques of integral calculus to solve this question.

Q: Find the exact value of dydr. 1/4 Ja

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1 Given; I=∫141∫x2xxydydx

Q: The value of | ysin(xy)dA, where R=[1,2]×[0,1]will be.

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Q: ф бху dх + 2ху dy %3D i

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Q: seclyltun Cy) -csc?(y!dy

A: Use formulas of integration to evaluate the given.

Q: AB and CD intersect at point E. If MLAEC = 5x and mzBED= x+ 28, find the value of x.

A: AB↔ and CD↔ intersect at point E and m∠AEC=5x and m∠BED=x+28 We have to find x.

Q: SOSolve Hhe linersystem

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Q: e top of the ladder slides down the wall (and the length of the ladder stays fixed). O O OO O

A: In the given question, the concept of a trigonometric function is applied. Trigonometric Function…

Q: Q.3 Show that Je dx=r

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Q: d? -(A+B) at t = 1. di?

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Q: et f(r, y) (-(4r + y)) Then %3D ardy

A: The given differential equation is: f(x,y)=-(4x+y)7

Q: Find the following.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: π 2 EK 4 cot4 x dx

A: Here, note that: ∫cot4x dx=∫cot2x cot2x dx=∫(cosec2x-1) cot2x dx=∫cosec2x cot2x dx-∫cot2x…

Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: Evaluate o y dæ – x*dy,

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Q: Evaluate o S, (4 – x²y?) dy dx

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Q: H. a) enough informa tion not b) HL cAA9 al SAS

A: The Given Triangle is an isosceles triangle.

Q: b) y = – cot (x) + 2

A: The flip of a function is defined when the graph of the function is reflected about the x-axis. The…

Q: Find y" if y = cot(9x 2r+ 8).

A: Given, y= cot(9x4-2x +8)   To find: y''

Q: Cosot tunpt H %3D then G)= 22

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Q: DS tan %) c(x) ax

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Q: O Evaluate, (a) / 3y* In (y) dy

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Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: ex g. y = In ex-1

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

Q: x singe dy dre

A: We will use simple integration rules to solve this question.

Q: v*exp(uv)du + u*exp(uv)dv = 0

A: The given equation is, v×exp(uv)du+u×exp(uv)dv=0

Q: 5) Зхуdy %3D ху?dy — ydx + 3dx

A:

Q: dy _ 1 dx y-x 6.

A: 6) Given:             dydx=1y-x               dxdy=y-x                dxdy+x=y This is in the form…

Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: too e dy

A:

Q: EVALUATE THE FOLLOWING: dy is 19-49y? dx tdt 2.17+64 1. 3. xV4x - 25

A: 1. Let  I =  ∫dxx4x2-25         Put  4x2-25 =t          ⇒ x2  = t2 + 254          differentiate…

Q: 2x+2xy2 y+2x?y let y =

A: The last option is correct. Given the differential equation

Q: Q: Find tte value of z if e = 1+3 i Me

A: Solution:To find the value of k

Q: se of a otenuse. ngle H.

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Q: Find the of the fol Howing term valke Value 3- 2. 4- 5.

A: In the question it is asked to calculate the determinant of matrix. 354723465.

Q: 7w ° sec(w *) tan(w 4) dw ec(w*) n(w¯ª) dw

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Q: Find dy/dz by differentiating implicitly if z2 + y = 100. Answer:

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Q: AMD y= 上IHD y" OF *=_

A: Given; x=1/(t-1)2 and y=1/(t+2).

Q: r(1,1) Evaluate Jo0) (3x“ + 4xy + ix )dz along y =x

A: The solution is given by using the parametric equation of the curve

Q: d. ý <(1+s)y, ,h=o•2 yCi) = e

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Q: Find dy when r + y? = 5.

A: