Find dz² dy in terms of æ and y given – a? + 2 æy = 9. d²y a) -x - y dz? d²y b) dæ? d²y da? -x + 2 y d²y d) x + 2 y dæ? d'y y + 22 x

Q: y= e fonksiyonunun d'y dy 11 + 27y = 27e dr 11z dr?

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Q: dA Calmilate Je= JJ Jxtxyz behween ay?sl6, x?ey?s1 and unde y=2.

A: See the attachment

Q: Y axis label? A. Y B. Iny C. 1/y D. Y^2 X axis label? A. X B. Inx C. 1/x D. X^2 B=?

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Q: Given z= 10t +43 and y = 65t+143 %3D %3D dr (i) dt dy (ii) dt %3D dy (iii. (write the simplified…

A: Explanation of the answer is as follows

Q: We know that S(x,y)dx + g(x,y)dy] = Se f(x,y)dx +Seg(x,y)dy. Use this knowledge to evaluate S.y dx+x…

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Q: Points X and Y are respectively 12 m north and 5 m east of point Z. Calculate XY.

A: To solve this problem we use the Pythagorean theorem

Q: Ty csc?y dy is equal to A у coly + | coty dy - Scony dy В у coty — Scory dy —у сoty- —у coty + coty…

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Q: We know that Sclf(x,y)dx +g(x, y)dy] = Sf(x, y)dx + S, g(x,y)dy. Use Sef(x,y)dx + S g(x, y)dy. Use…

A: We need to evaluate the integral ∫Cydx+xdy where C is the line segment from (1,-1) to (4,3).

Q: Let z = ax'y + bx'y?, with a and b constant. P is a point given by (1, 1) and it is known that dz…

A: Given

Q: ; Use Gausss D.T. to evalu arte where F=4 xi -zy'i+zk auds is the sarfece bounding the regioh…

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Q: Find a solution of x dy =y?-y that pases du Through indicated points

A: For the given problem, below is the solution.

Q: Let C be the line segment connecting 0 to ni. Then f. 1- e22 dz = %3D a. 0 b. -0.5 + ni с. пі d.…

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Q: If x"y" = (x +y)™* m. m+n Then, P rove that d'y = 0 dx 2

A: logxy=logx+logy logxy = ylogx ddxlogx=1x Quotient rule ddxuv=vu'-uv'v2 , where ' means derivative

Q: Find (au/ay), at the point (u,v)=(√2,-2), if x=u² + v² and y= uv. du (Simplify your answer.) ay…

A: Given x=u2+v2,y=uv   u,v=2,-2

Q: Get Part CUlor solu ti om ay 2メy dt 2y?); *=0, y=4

A: The given differential equation is dydx=2xy(3x2-2y2); x=0, y=-1

Q: csc?y dy is equal to A -у соty — coty dy B) None у сoty — coty dy D у сoty + coty dy

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Q: f(z, y) = 2 + + 8y? %3D (x, y)D dy dz , y) = (2, y)

A: Given function is fx,y=2+x2+8y2. Differentiate fx,y=2+x2+8y2 partially with respect to x.…

Q: 2 W = Span- - 1 1 .Then, the distance and y = 1 -3 -21 3 11 ny to W is

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Q: Given that y = dx dy 3u?, : 5v² and v = 2x2. U = 8. Find

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Q: |y csc?y dy is equal to A) y coty+ coty B -у соty + coty dy C) None (D -y coty - | coty dy E у coty-…

A: we have to find out

Q: Q2) If y(0) = 0 and y'(0) = 0, ƒ (t) = e*t, %3D 1 y(t) = (D + 3)(D + 2)(D + 1)ƒ (t), determine y(t).…

A: Here first calculate differential part.

Q: af and . Given f(x, y) x'+ y find dx ' dy' axdy дудх

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Q: Hwi Sind the vecter Paralle I to the line metersell bet ween the flanes and X+y=2 2) X-2y+47-2 and…

A: Two non parallel planes meet at a line. The direction of this line is perpendicular to the normal of…

Q: Q: If the point (x, y) is equi distant from the points (a+ b,b-a) and (a-b,b+a). Prove that bx = ay.

A: Use given conditions to prove bx=ay

Q: Use the equations to find az/əx and əz/ðy. e? = 8xyz %3D az 1 1 az ay %3D y

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Q: For which value(s) of a and b is y = abx concave up? b>1, a<0 00 0<b<1,a<0 b>1,a>0

A: We have find correct option

Q: If F(x,y) = 3y. i+5x-j, find SF . •dr where Cis the straight-line path from (0,0) to (1,0), to (0,1)…

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Q: SUppOrE THAt y VEIES DIRECTLY WITH X ANO y =9' WHEN X = 18 X HUIM WRITE A DIRECT RAATES. VAQMOW…

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Q: We are given w = 2yln(y+2z)x2, where x=b√c, y=c-a2, and z=ab+1. Find the following ∂w/∂a at the…

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Q: Frd he e of teepkan in the at quectert baurded on he let ty he ydx, bebw by tte carve x- boletby…

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Q: If y = u³ - 2u + 1, where u = 2√x, find at x = 4 -23 23 33 none of the above dy when x =

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Q: Let M = y? + xy³ and N = 5y² – ry+ y³ sin y ƏM =? 9. dy (a) 2y+3ry? (b) 2у — Згу? (c) y²x+y³ (d) y²r…

A: Given:   To determine:

Q: To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

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Q: dy dr² in terms of x and y given that 6- 7xy = 6x - 7y %3D 22. Find

A: Given that ,6-7xy=6x-7y differentiate this equation with respect to x ddx(6-7xy)=ddx(6x-7y)…

Q: Given y = f(u) and u = g(x), find dy/dx (a) y= 6u - 9, u= (1/2) x* (b) y = 2u', u= 8x – 1 (c) y= Vu,…

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Q: xy.z = p²sind x,y,z %3D True false

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Q: Evaluate | (x + iy' ) dz, where C is the straight line from z =1 to z=i.

A: given, C is the straight line from z=1 to z=i claim- evaluate the integral ∫Cx2+iy3 dz

Q: Find (au/ay) at the point (u,v)=(√6,-2), if x=u² + v² and y = uv. du = (Simplify your answer.) dy)…

A: ANSWER: 1

Q: If f(r, y) da dy = K, where K is a constant, then 5 f(x, y) dy da: %3D ок O-K

A: Solution: The objective is to find the value given integral

Q: If r (t) = (csc³t · sinºt)i + (sec³t · cost)j + 5k. Then, %3D T=.. N= .. B= k=

A: By Bartleby rules, only first three sub-parts have been answered Given parametric curve is…

Q: If z = xe", then dz = (e)dx + (xye )dy. Select one: OTrue OFalse

A: The solution is given as

Q: We are given w = 2yln(y+2z)+x2, where x=b√c, y=c-a2, and z=ab+1. Find the following ∂w/∂a at the…

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Q: a. The y' for y = (u – 4)z and u = x² + 4 b. The y' y = Vu and u = Vx

A: Given;          a.  y=u-432 and u=x2+4b.  y=u        and u=x a. Solve for y'…

Q: Use the given information to find Ax, Ay, and dy. 1 :x decreases from 2.5 to 2. х — 1 y = Ax = Ay =…

A: Given: y=1x-1; x decreases from 2.5 to 2

Q: 7.) Find r'(t), r"(+) , r'(t) · r"(+) and r'(+) x p"(t) r(+) = +*-at) +우 %3D 2 9. a.r' (t) = ? %3D…

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Q: f (г, у) — In(ax + by) a, b ER af Land 1 Find Ja 2. Find and a f -and 3. Find dxðy дуда

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Q: f (x, y, z) = xªe²y+æ² zy? – 5zæy³ | af af af dx ' dy' dz Determine

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Q: Let be Z= ax? yf +bx²y³ 9 and b que cors P is a pant givon by (-1,-1) qnd we Anaw dz (P) = -2 , &르…

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Q: If Jf(x)dx = cotx? +C, then f(x) is equal to

A: ∫f(x)dx=cot x2+C