x2 If w = x" . fG x²+ y². %3D then show that: X. Wx + y. wy = nw.

Q: If J_f{x)dx=10 andJ, f{x)dx= 3, then J, f(4 – x)dx=?

A: According to our guidelines we are supposed to do only one question. Kindly repost the other…

Q: Find the antiderivative for each tunction When C=0. a) g(x)= -3x-4 b) nlx) = x-4 %3D c) Kl) =x42x+3

A:

Q: Z is the midpoint of VY and X is the midpoint of WY. If VW = s + 47 and XZ = s, what is the value of…

A: Given,          Z is the midpoint of VY¯ and X is the midpoint of WY¯ .           VW=s+47 and XZ=x…

Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

A:

Q: (a) f(x,y) = (x² + 1)e" (b) g(w, z) = w? + 22 (c) h(x, y, z) = vT² + 3y – xyz²

A:

Q: Let X; = tB¡ B,ds. | Is (X,)r20 a F - martingale?

A: Consider the given process:        Xt=tBt-∫0tBsds

Q: dy If y = V2-x, then find de 10. A 2-x 1 В 2/2-x 1 C 2-x 1 D 1.

A: Given y = 2-x we have to find dydx.

Q: Find dy for the given values of x and ∆x.  y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A:

Q: 2x If y= e, then %3D dx² a. 2x O b. 6e²x 2x 4e²* Od. 2e²*

A:

Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: dy A. Find for the following: dx y = Vx3 +- In(esinh¯ x) i. x8

A:

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

A: Consider a function defined as shown below: f(x,y)=g(x,y) These types of functions are called…

Q: 3. A) f(t) = (t + 4)° %3D B) L s° +43

A:

Q: 3. If GH = 7x + 18 and JK = 81, find x. %3D H G 丰 K %23 世

A: In this question given that two triangles and both are same . Their sides are same and we can say…

Q: dx 2xVIn x (b)

A:

Q: dz where c is |z=1 z'e? Evaluate

A: ∮ f(z) dz = 0 when no any singularity lies within region of integration. But if any singularity lies…

Q: Find Hand S for H = c₂(x)+₁(x) (x) d dx S={feC [a,b] | f(a)=0}.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: dy %3D 14 If and y = when x = 1, find y(2). dx V3x-2 27

A:

Q: C) d4 器 ★竹+ s×M 3. %3D +2x 4. If ap diffelentiat e with les Pectto Subject. 1 / 7 l

A: given,        y=x44+2x2

Q: Evaluate (xy + yz + xz)dV B = {(x, y, 2) | 0 < ¤ S 7,0 Sys 9,0 < < 9} . Check Answer

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Q: dav dyt if va (x*+y*+z) Show that d'v

A:

Q: * Evaluate SSS 12z dV E where E is enclosed z = x² + y? and z = 1 %3D Зл о 2л о 4л о IT O

A:

Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: 80. If x? – y? = 1, find d²y/dx² at the point (2, V3).

A: Given: x2-y2=1 at 2,3

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

A:

Q: 11. If mVQ = (y + 7)', mQR= (x + 11)', mRS = (3y)', and mST = 65', find the values of x and y. %3D S…

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: Find the antiderivative of dx/(49x2+16)2

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Q: dy Find dæ? for y = csc(x) d²y dæ² ||

A:

Q: f (x) dx=6, ƒ (x) dx=2, and ƒ (x) dx=- 3, fir If A 4 B

A: We are asked to find the value of given.

Q: 8. If f(x) dx 31 and %3D g(x) dx = = 14, find [3f(x) + 4g(x)] dx.

A: use given integral for finding the  value .

Q: If z = x² dz = Az = - ·xy + 4y² and (x, y) changes from (1, −1) to (0.96, −0.95), compare the values…

A:

Q: Evaluate SSS 2e(a²+y²+z?)"² dV over B where B= {(x,y, z) : x² + y² + z² < 1}. Take n = 3.

A: • The given region B has spherical symmetry, so it will be easy to solve this volume integral in…

Q: Select the best option based on the information below. W. MP, = TRS w2 Lat(x, ,x;). MP, %3D Select…

A:

Q: dy is Q5. If e** =xy, then dx

A:

Q: e |/ (x² + y³) dV, where E = {(x, y, z) E R³ : VA- x² – y? <z< V9– x² – y?}. Evaluate E

A: The region E will be bounded within the upper half of the spheres x2+y2+z2=(3)2 and x2+y2+z2=(2)2.…

Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: S„Xg (x)dm , where E = { x : x € Q , -1< x<1 } %3D

A:

Q: Find vf(x, y) if f(x,y) = e* c cos y 5.

A: Note : according to our guidelines we can answer only first question because there are multiple…

Q: Find dy for the given values of x and ∆x. ; y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A: Given fx≡y=x3-2x2+3 x=1 and dx=∆x=-0.1

Q: If x"y" = (x + y)"** m. m+n Then, P rove that dx?

A: Double derivative

Q: dy If y = (x- 1) e* then dx2 %3D O A.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Evaluate SSS9e=+y²+=?)** dV over B where B = {(x, y, 2) : a? + y? + z? < 1}. Take = 3.

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Q: dy If y = e4a+19 then dx

A:

Q: Find dy for the given values of x and Ax. y = /2x+9; x=1; Ax= 0.12

A:

Q: Q4 Find y'of y = In- %3D ? 1+e0

A:

Q: 3. r/s*t/u- v + w * x - y++

A: Given expression is, rs*tu-v+w*x-y++

Q: d' y Let y? 4x, then dx %3D

A: given  y2=4x differnciate with respect to x 2y dydx=4 dydx=42y=2yagain differntiate with respect to…

Q: Q2: Given y = f (u) and u g(x), find dy/dx: y = 2u3, и %3D 8х — 1

A: Differentiate