If y = e3+, x = 0 when z = 1, z=1 z=1 = 3, then what is z=1? dy |3D O 1 O 3 O 21e4 O e30 O 19e30

Q: What isP + Q+R+S? 5 v25-2² 3 PQR S S S1dzdy dæ = S S S S dz dr d0. 0 0 0 %3D 0 0 0

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Q: Find the value of z. В 5х -3 E C 3x+1 OA. 14 Ов. 2 OC.7 OD. 4 O Type here to search

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Q: 2 sinºe cos³e de= 60 a O 120 b O 1 .c O 60 .d O 120

A: We have to solve given problem:

Q: d'u = (1+3xyz+x*y°=²)e² dxdydz xyz If u = e-,show that 1+ 3xyz + x y:

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Q: If x"y" = (x+y)* m, m+n d'y prove that = 0 .2 dx?

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Q: The solution of y = eY 2* , y(0) = In(In(2)) is y= In(In(2)) - In(2 -2*). Select one: O True O False

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Q: 16. Given: BX = 6; AX = 8; 9; DX = 12 %3D Prove: AB || CD B A C

A: Given BX=6 , AX=8 , CX=9  and DX=12. We need to prove that AB is parallel.

Q: a. Show that o (x) = x is an explicit solution to dy 2y de on the interval (-∞, ∞). b. Show that o…

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Q: +1le+10 da =? +42²+5x O a.-2ina-꽃inla-1| + 꽃inl# + 5| + C O b. 2ina + arctan(a + 2) – in((a +2)) + C…

A: Given: I=∫x2+11x+10x3+4x2+5xdx For evaluating given integral, first we do partial fraction of given…

Q: Evaluate SSS 7e(=²+y²+z?)*² dV over B where B = {(x, Y, z) : x² + y² + z² < 1}. Take T = 3. Turkcen.…

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Q: SL (e,9) f(x, y) = dx dy f(x, y) dy da 0. 0. 0. O True O False

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Q: O a. { O b. {7 – 5}0 O. {e-"}1 O d. {cos(n)}1 2" Sn=1' Ob. nin=1' Oc. Sn=1 O e. Ninguna de las…

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Q: みm 'cU24onba buimoll ut anos Give answers occurate to o tu100yら19 SONe the foilowing tigures 6.8=…

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Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

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Q: If A = 2x î + 3yĵ – z k and x = t² , y = t and z = t + 2; then the value of ſc À · d¯ from t = 0 to…

A: A = ( 2x, 3y, -z ) and C : ( x, y, z ) = ( t2, t , t + 2 ) for t = 0 to t = 1. We have to evaluate…

Q: Calculate fryr if Ar.y,z) = &r-9*y³-z³. OA foe =-322 OB fye =0 OC None of these OD fye = 3r2-3y2-322…

A: We have to find the partial differentiation of the function with respect to X y and z

Q: 1. S(Vz5 + Vx ) de с 6 x2/7 +- 2. x5/6 +x³ +C 1 x3 + C 1 7/2 x3 + C х6/5 + - х3 + C + - O A О в O c…

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Q: 2.rydr + (z² – 1) dy = 0 O zy? - y = C O zy+y=C O zy - y² + C = 0 Oy-

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Q: Find the following:

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Q: 6) Given that h(x,y) = e**y® _ ¥² Find hxx, hxy, hyy, hyx

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Q: R and r are defined by E(; - 1)(y, – I) VE(*; - 1)² E(Y SSR Sry S,, Syy R? TY r = SST' (1) Show R2 =…

A: Given : R2=SSRSSTr=∑xi-x¯yi-y¯∑xi-x¯2∑(yi-y¯)2r=SxySxxSyy

Q: 2 imaginary solutions -medhs there dre ho redi #'s that wotk in the Qudtion, ohly imdginary ニx:…

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Q: 4. (a) If y = A + Bx + Cx2 and yo, yı, y2 are the values of y corresponding to x = a, a + h, a + 2h…

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Q: If dx is between 3 and 6, then c must be between... O 2/2 and 8. 1 and 6. 1 3 O 2v3 and 3V6. O 3 and…

A: Option A is correct.

Q: 3.Evaluate ex dx, by Simpson's ½ rule. n=6` 1 = (b − a) ƒ (xo) + 4f (x₂) + 6 f(x₂)

A: We have to solve by Composite Trapezoidal Method.

Q: Which of the following is the general solution to (D-3) (D+1) y=0 Oy = (Ao+ At + A2t?) e + Be Oy =…

A: We have to find solutions

Q: (c) Ã = xẽ, + yếy, C : {n² + y² = 1, z = 0} %3| ex (d) Ā = En + Ey 2 + 12 C : {y = x, z = 0, x € (0,…

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Q: After substitution is performed, what is equivalent to u14 du 3 0 9 Su u¹4 du ,14 1. 3u¹4 du 0 2 u¹4…

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A: To evaluate the below triple integral

Q: E=D{(r,0,2): 0s es n, Os zs 1, Vzs rs 1.

A: Given,          E=r, θ, z : 0≤θ≤π, 0≤z≤1, z≤r≤1 To find:           ∫∫∫Ey2ex2+y23dV

Q: If y = x2 +1 and u= Vx? + 1, then at x = V3 equal to du 1 -4 -1

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Q: Evaluate: S ndy 2y+3 (y 1)(y 1) In G) ny² + y + 1| - arct arctan 0 Inly 1| ž(y 1)* nVi y arctan( ) c…

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Q: 12. Let z = æ²y – xy²,x = e " ,y = e#, then which of the following is ? %3D at O a. -2et – 2e-2t O…

A: Partial differentiation of a function is the derivative of the function with respect to one variable…

Q: m+n If x"y" = (x+y)*** m, n d'y prove that = 0 .2 dx?

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Q: xy In(r+1) rª + 3y? if (x, y) # ( g(x, y) = if (r, y) = ( %3D

A: In this question we will use basic concepts of calculus i.e concepts of limits in two variables. We…

Q: a?u du k 00 at Subject to the condition u(0, t) = 0, u(L, t) = 0 50x u(x,0) = f(x) = 50 – L. 0<x<L

A: Please check step 2 and 3 for solution

Q: If dx is between 6 and 9, then c must be between... 8 and 6/6. 1 and 6. 9 O 2v6 and 9. O V6 and V9.

A: I have provided solution in step2.

Q: If y = In(x² + y²) then the value of d at the point (1,0) is %3D Select one: O a. 0 O b. 1/2 O c.1 O…

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Q: 7 2 dx dy y? 3 Evaluate the integral: Jo 98 3 294 3 196 392 3.

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Q: What will be the value of (h, k) in the given DE: * (x – 2y + 1) dx + (4x – 3y – 6) dy = 0 | h = 3,…

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Q: -f L[te cost] = O A. %3D (5+ 1)² +1] (s+ O B. * + 25 +. +1

A: We have to find the Laplace transform of the given function.

Q: In(rºs sºVr?s²) 6,8/7 2 r'S is equal to A In r+ B ln s where A = and where B =

A: using the concept of logarithmic...

Q: 1 hence find u Given that y =u – 5u' and x dx 2(1-15u") a. 3 u 2(15u 1) Ob. 3 u (15u? -1) 2 u'…

A: The objective of the question is evaluate the derivative and choose the correct option.

Q: (2? + y? + 1) dæ – (æy+ y)dy= 0 - %3D x +1 (x + 1)? Option 1 Option 2 (x + 1)-3 (x + 1)-1 O Option 3…

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Q: 4 Ruret MC w co , , d, 7 the y a Fid e co f de

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Q: Q3: ди ди ди ,and az p-9 1. Find for u = , if p = x + y + z ,q = x + y +z,r = ax' ay 9-r x+ y - z at…

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Q: then Res(f(z), -1) is ez 1.5 Given f(z) = +1)' А. е, B. C. * _1 D. 0, E. None of the above.

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Q: (a) z, and z4 where z = sin(2x) + y, x = s² – t², and y = s² + t² (b) z, and z4 where z = e*+y, x =…

A: We need to find the partial derivatives z.

Q: Evculucte the ntegre ree)dt where re =secttleH, tine TNt C 2

A: The given function is