Inz Vz Inz-z dz 2. Je cos 3r dz 13. S- ze-lal dz 74: cscz cot z dz dr dz dr 3/2 dz 26. J. v9-2 6. ec3 tan 3r arcsin z dz dr Vir -9 28. J sec o de 8. L ze dz 5z - 11r +5 dz 10' Jz-1) (z – 2) 小 dz sin 20 cos 20 de 13. -dz /20 dz ze" dr 17 Sz tan z dz tan'z dz 18 19. (v+9ds cos z

Q: dy 3YUse implicit differentiation to find y or a) 2x +v° =7x² -6 b) x +xy=y +15

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Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: y = sin(x) at |0, 0, with four equally – spaced points

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Q: 5. y-2y+y-6e* d'y dy 6. 2. dx2 +2y e2x d'y dy 7. 2 -2y D4e 3x *

A: 5. givend2y(x)dx2-2dy(x)dx+y(x)=6exThe general solution will be the sum of the complementary…

Q: e-i.dt = lim X+ 00 V TE 0, Select one: a. b. NOT C. 8, O d. 1 O e. 0

A: According to our guidelines we can answer only first question. In first question we use the concept…

Q: Find y SX a) y = 3 sin (x² + 5x - 3) y' = c) y = sin" (6x) y'= b) xE5X+2 d) y = In (2x) Y₁ = Y y' =

A:

Q: r=e^theta 0=<theta=<2pi horizontal tangent= vertical tangent=

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Q: an 2z sec 2zdz

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Q: Ex: Siny dydx

A:

Q: dx 7. = cosx cos² t dt

A: 7). To solve the differential equation: dxdt=cosx cos2t Solution: Re-arranging the given…

Q: Interpret J, 1+ 2x' dx where Cis the right half of the circle of radius 2 with counter- clockwise…

A: Line integral gives work done to move a particle under a vector field from one point to another…

Q: • sin 0 r cos 0 dr do.

A:

Q: Using the equation below at angle of 45 degrees, find T^-1

A: Here, the angle is Here, given that,

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

A:

Q: From the figure formed in integrating -dx, what is the term or value that is adjacent to the angle…

A: Given:    ∫x2-3xdx

Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

A: Given that dydx=x+sinyy-xcosy we need to check that it an exact equation

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.