1) Let c. 12i| =3 and I = e dz. then %3D I= 1o TTi? %3D

Q: e suriace S is the part of the co + Y*

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Q: Find ди ds if w = sin(xyz), x = 1 - 3t, y=e¹-t, and z = 4t, find o

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Q: Find : dw/dk α w=2 sin m ka 2

A: To find dw/dk for the given w

Q: 4x Compute (2x + 4yz) dz dæ dy 1

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Q: If y = cos? x – sin? x, what is y? X - х, | dx

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Q: Graph the limaçon. Oval limaçons r = 2 + cos u

A: Given- r=2+cosθ To sketch- The graph of the above limaçon.

Q: If x = e" tan v, y = e" sec v, then the value of y%3D X +y X- +y is

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Q: QUESTION 3 dy = 2x+1. dx a) Find y at point (2,2), if

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Q: 41. e* sin y d A, R = [0, 2] × [0, 4]

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Q: 1 |+tan¬(x), then x2 dy If y=cot-= dx

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Q: Ɔ) = 1, the solu %D dy + 4 + 4 dx

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Q: If f(x,y)=log, (cos²(e* ) +si f(x,y) is ây ôx + sin(x+ y) then %3D

A: Given that: fx,y=logecos2ex2+sinx+y To determine ∂∂y∂∂xfx,y

Q: (x** ye) dx + zy dy

A: To Solve for the general solution of the following first order differential equations.

Q: The value C in y = sin (Bx +C) is called the _________.

A: The given equation is y=sinBx+C

Q: =? |c0,1,1) What is the x* In(=) +sin xyz +ev = 0 y O a. -2/e O b. 0 O c. -1 d. O e. e/2

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Q: Question 2 Evaluate: J y* sech (e m)tanh (e ), 7Iny @ -ch(v^) +C B) None -ech-(7) +C 7 ® ech (»*) +c

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Q: Sect sec't dt Tari'la)

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Q: TT/2 S,"/e cos?x.sint x dx in tegralinin bulunvz sonucunu

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Q: If D=d and Y= Cost The Cos X =

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Q: If u = tan- the value of x2 +y? +xy du du at x = 1 and y = 3 is

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Q: Suppose d a e R, where a > 0, a ± 1, what is (a*]? dx

A: Given,            Supose a ∈ R, where a>0, a≠1.To find : ddxax

Q: Show | S a² sin®(e*) dæ| < 16n*. 8 Show | S, x2 sin°(eª) dx| < 3

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Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: dy IN QUESTIONS 1-13, FIND dx' 3. у %3DV11 — бх

A: Given that       y = √(11-6x) We have to find dy/dx .

Q: /4 (6) Evaluate I cos y dz dr dy = A. B. C. D. A

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Q: If f(1, y) = e“ sin 7y, then fay is given by: o - 28 et sin 7y O - 28 e“ cos 7y O 28 e" sin 7y O 28…

A: Given that: f(x,y)=e4x.sin7y

Q: 3. If y = w sin w, then what is dy/dw??

A: y=wsinwTo find d2ydw2

Q: 6 3 oy sin (a? + 3²) dædy Find

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Q: i?? cos(2t) dt csc(10t3)

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Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

Q: dy IN QUESTIONS 1-13, FIND dx 9. y = 3sin®x

A: Solve for derivative

Q: Evaluate S eas cos?(y s) ds. V2

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Q: :S (1 – ±) cos(uw – In w) dw.

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Q: If z = x2 + y? x = e' cos(s) and et sin(s y = ), then

A: ∂z∂s=∂z∂x∂x∂s+∂z∂y∂y∂s Lets find out each derivative z=x2+y2∂z∂x =2xx=etcos(s) ∂x∂s=et…

Q: If y = (tane) /28 +1 find dy then choose the correct answer: %3D dx

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Q: d = e*, we must have that fe'dx = e*. Since dle)=e", %3D

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Q: Given: X = 4 cos 20 and y = 2 sin 20 What is the value of d y dx? in terms of

A: We have to solve

Q: Given DE: dy/dx = 2x?y!/2 Determine whether there's a unique solution to IVP at point (2,4)?

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Q: dy is: If y = tan(47x²) then dx

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Q: S™ sin dt Sa" 2 1 b. 2 С. 3 d. None of the above a.

A: Given that, I=∫02πsint2dt we have to find the value of given integration.

Q: QUESTION 5 dy If y=5sinu and u=4e%, then the value of Y dx 4cos(5x) cos(20x) • 20cos(4eX) 20cos(5eX)

A: To find this will use chain rule of differentiation If y = f(u) and u= g(x) then according to chain…

Q: السؤال 10 e = (cos (y) +isin(y)) ulgn O ०

A: 10. ez = (cos(y)) + isin(y)) is FALSE

Q: Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy…

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Q: Item 8 of 10 What is S P, (x)dx if the given DE is y(6y² – x – 1)dx + 2xdy = 0? Select the correct…

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Q: if y= In(arctan (2 x)), dy=? XP

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Q: e 3. form Ans CUse H tnt dt fnachons

A: Solve the given definite integral by integration by parts,

Q: Question 12 of 12 fe #0. dz and ye-8 sin 4z = 4z %3D dz dx dz dy II

A: The objective is to find the partial derivatives.

Q: then If z=e sin 0 = ? О а. 1 O a. 2 Ob. 1 2i +2 OC 2i d. Od. 1 2. +2

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Q: Question 1 Evaluate I S Csin(0.70)dx %3D where, C = 4 x1 = 0.6 rad %3D v2 = 0 9 rad

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