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Q: Y=c メャ Lin x Find and cz when y'-98 Y (14-7)=0 and

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Q: Express dw/ðr and ðw/ðs in terms of r and s if w = z² + y°, x =r – s, y=r +8.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Express ∂w/∂r and ∂w/∂s in terms of r and s if w = x2 + y2, x = r - s, y = r + s.

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Q: If f(x, y) = e + e", then Vf(x, y) = (0, e³). Select one: OTrue OFalse

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Q: Which of the following represents the distance between (X. (X2. Y2) O A. d = 2 / (x2 +1) + (y2 +Y1)…

A: Given two points, A(x1,y1) B(x2,y2) distance d=?

Q: 29. f(x, y) = x + y, C: x? + y² = 4 in the first quadrant from (2, 0) to (0, 2)

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Q: If y = In(x – y) then y' at the point where y = 0 is equal to :Select one 1 .a 2.b 글, -1 .C -2 .d

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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: 2Sino 5. AS T/H CSCO 3 TV4 2sinG A:S CSCO 3T/4 T14 CSCO aS [1asine) -cescor I do %3D 3 T/4 aS [4sino…

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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: U + 2ru, =0 IER, t> 0, u(x,0) =e=.

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Evaluate y ds, C: x = t², y = t, - 1<t < 9 |3D (325)-(5)를 1 12

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Q: (b) Hạ: u < HO,n = 30, t = 2.431 = 0.011 P-value %3D

A: Given : Ha : u &lt; uo  n = 30  t = 2.431

Q: z2 + 2z + 1 For questions 6,7 & 8: use I = o dz, C traversed CCW z2 +z Question 6) C: |z - 1| = 2

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Q: J 2+2 cot (2²+42 - 3) -dz

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Q: y+1 O Determine the angle between the lines 7 – x = and 2æ – 9y + 7 = 0 [k2] -

A: Given that  The two lines are  To find the angle between the two lines

Q: v(e -Y cos x) • dr, where C is the line from (0,0) to (2x, kn 7)

A: The fundamental theorem of line integral, also known as gradient theorem states that suppose a curve…

Q: 7. y = sec x, y = V2, -TT/4 sxS/4

A: y = secx , y = 2,   -π4≤x≤π4

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: If RX = 18. XS 10, and RT = 35, then YT

A: It is given that RX=18, XS=10, and RT=35 In triangle RST, the line XY is given parallel to the base.…

Q: cosh(3z) dz COS Sc z(z2 + 9) C

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Q: H.W Find Iy, lo, Rx, Ry, Ro, x and ỹ

A: Sol

Q: B = {(x,y xs2, -a sy s3, 0£21} SS, x*yz²dV 2 'B

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Q: EVawate Fy (Y,y) q Jylx,y) at the indicated point. fir.y)= In (ry) at (-2,-3)

A: Given query is to find the derivative at indicated point.

Q: (ii) Assume that d = in E-coordinates and 7 in B-coordinates. y' Find a' and y' expressed in x and…

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Q: (a) y(t)=1+af,y(t)dr,1 > 0

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Q: If u = x²zî + yz?j – xyk and 0 = x²yz then find the value of u. (To)

A: Consider a function fx,y,z. The gradient of the function can be defined as, ∇→f=∂f∂xi^+∂f∂yj^+∂f∂zk^…

Q: ii. (x + y)dA Where R = {(z, y)|1 < x² + y? < 4, x < 0}

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Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: (b) | F. dĩ, where F(x, y) = (y cos(xy) – 2a, x cos(xy) + 1). 6 Y C 4 3 2 1 2 3

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Q: 27. || x sec?y dA, R={(x, y) | 0 < x< 2,0 < y< /4} R 28. || (y + xy-2) dA, R={(x, y) | 0< x < 2, 1 <…

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Q: Find r, if b = 0.8 and b, xy = 0.46. %3D yX

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Q: yi+ yž = 1, when x = 0, y = 4 %3D %3D

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Q: S = {(r, y, z) E R³ : 2? = x² + y°, 0 s< 4}. %3D Evaluate e dS.

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Q: (b) tan (r) sec"(r) dr

A: To find following integrationI=∫tan3x.sec6xdx

Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: If UV = t+3 and WY = t, what is the value of t? Y W

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Q: dp For p(q) = 4q-, dq dw For w(u) = 4/u, du %3D

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Q: (b) dr(x -y) dy, where y, = Va? – x?

A: Multiple integrals

Q: 2- SSi dA A A-{(,3):x7, ソプ andy=x, xy=6,火=8 14.4)' %3D Ans (448) Az ーに

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Q: The range of y = cscx and y = sec x is: 0(-∞0, –1] U [1, ) O yɛ R ye R; y does not equal + 1 O(-00,…

A: The range of a function is the complete set of all possible resulting values of the dependent…

Q: fx = e" tan v, y = e" sec v, then the value of X +y X +y is

A: In this question, the concept of the derivative is used to calculate partial derivatives. Derivative…

Q: I, y ds S:Z=X 0くxく」 こ>Rつo

A: Solve the following

Q: :Q2 / Find 1) A x B. 2) Angle Between A and B. if = 3i + 2j + 4k = 2i + 1j + 6k A

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Q: 27. x sec’y dA, R= {(x, y) | 0 < x < 2,0 < y & T/4} R

A: The formulas used are  ∫x dx =x22+C1∫sec2y dy = tan y+C2

Q: 2. V9 – y?, y = 1, y= 3, x = 0, about the y — ахis -

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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: 9. [y+xy?)dA, R = {(x, y): 0 < x < 2, 1 < ys 2} %3D

A: Definition used -         ∫∫Rf(x,y)dA=∫ab∫cdf(x,y)dydx

Q: Ion 41 Let A = (m, n) and B = (x, y). If A and B lie in on horizontal line and B is to the right of…

A: We will solve the problem using figure.

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following