pSolve the given dlifferential equation 2xy+Sxy'+y =x-

Q: 1. cosh z= cosh x cos y + i sinh sin y sinh z = sinh x cos y + i cosh x sin y.

A: According to our guidelines we are supposed to answer only one question, since you have asked more…

Q: Solve 3x^2-Siny=0, xy^2-x^3+7=0, initial point (-1,2), also find jacobian inverse

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Q: Verify the identity.

A: To verify: The identity . Formula used:

Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

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Q: Vy sec- (x') %3D

A: The function is yx=sec-1xy. Differentiate both sides of the equation with respect to x as follows.…

Q: y = Vsin(x)/sin(x)+ /sin(x)+∞ X

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Q: dz Find using chain rule, where z=, V-,x-e", y-e". dt

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Q: equation with the appropriate slope field. y' = x-y 11

A: Show slope field on graph

Q: А. ELIMINAТЕ THE ARBITRARY CONSTANT/S IN THЕ EQUATION. 1. у%3D Ае2х + Вхе2х 2. у%3D Ах?+ Be-x 3.…

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Q: tan x + i tanh y 1- i tan x tanh y 18. tan z = tan(x + iy)

A: We have to prove

Q: Test for homogeneity  f(x,y)=tanx-sec2x-cosy

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Q: Find the 1st order derivative for    R(x,y) = [(x^2)/(y^2 + 1) ]  -   [(y^2)/(x^2  + y)]

A: Given function is R(x,y)=x2y2+1-y2x2+y Differentiate partially with respect to x.…

Q: Find F′(x).

A: Given- Fx=∫0sinxtdt To Find- The value of F'x. Identity Used- Using the Labintz rule, we can write…

Q: f(x)=\arctan (1-x),[0,1]

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Q: Correction: Bonus Assignment, Exercise 8: Exercise: 8 Evaluate 1-x²-y² e-3(x²+y²+z²)² dz dydx

A: Given,   from limit we can say this follow x2+y2+z2=1 put this value in integral…

Q: Evaluale tim xin xs

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Q: 2In|tanh(0.5x)| + C 4tan-le0.5x + C E 21n|csc(0.5x) + cot(0.5x)| + C

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Q: slope of the line tangent to the curve cos(5x-4y)-x(e^-x)=(-7pi/2)*(e^(-7pi/2))at the point…

A: To find the slope we need dy/dx We differentiate both sides of the given function with respect to x.…

Q: 13. Equation from Exercise 1; y(0) = 1, y(-2) = -1, y(0) = 3, y(0) = 2. %3D

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Q: 1. y= 4+ sec 3x 2. y= 2 tan 3. y= cot(x +)

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Q: d -tan(z) = dz sec(x) O cot(x) O sec2(z) O

A: we have to find ddztanZ i.e we have to find derivative of Tanz with respect to z ddzTanz=sec2zdzdz

Q: **(sec! I tan /)i + (tan /)j (2 sın cos r)k di tan 7)j 50. sec i tan 7)i 0.

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Q: sec7(t) tan(t) dt Evaluate indefinite anti-differen

A: We have to find the integral

Q: Differentiation [SND] If y = (r+ v1+x²)", prove that, (1+2²) 2 +ry - m²y =0

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Q: Graph each function.

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Q: Find the limits

A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.

Q: salvepE tany= Sin(2 +y) +Sin(x-y) (ans. secy= C-2 Casx)

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Q: chain rule to differentiate the following 1 y = sec 4 sec* (√x + 3)

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Q: CNIVERSI Find if f(x,y) = y sin xy 3.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: F/3 I ㅠ sec³ x tan x √2 + sec x dx

A: Given ∫0π3sec3x tanx2+secxdx sec x'=sec x tan x sec20=1

Q: S(sec z tan z – 3z²)dz -secz – z³ +c sec z + x³ + c sec - * +с tan z + 1³ + c O - sec z + z° +c

A: Use integration rules

Q: Find y' 1. (x-y)2 = sin x + sin y

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 4) Find direction derivative f(x, y) = x2 -3xy at the point (-1,2) in the direction 0 %3D 6

A: The directional derivative of a function f(x, y) is given by Du.fx,y=fxx,ya+fyx,yb where u.=a,b is a…

Q: (b) y=sec x, y = tan x, x = 0, x =1

A: Refer to the figure shown below:   The (grey) area bounded by the given curves is revolved around…

Q: tanx If f(x) = (Α) B C D S 0 sec ³x 1+etanx In (secx) √ 1+tan²x tanx 1+e sec²x 1+ etanx 1+1² -dt,…

A: Here, given that: f(x)=∫0tan x1+t21+etdt...(1)

Q: tanx - tany = sin(x+y)/cosxcosy

A: The given identity to be proved is,

Q: Eliminate the Arbitrary Const ant 2 x 2X 2) y= C,c" cos 3 x C2 esin 3 x ナ

A: Eliminate the arbitrary constanty=c1e2xcos3x+c2e2xsin3x

Q: Partial Differentiation: и %3D In(x? + у?) U = z = sin Find a2u a?u az az + + y ду дх? "ду? Əx əy?

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Q: find 3 sec“ 3x dx sec4 0 do 41. 42. csc“ 0 do secó x dx 43. 44. 7/4 4 tan³ x dx 6 tan“ x dx 45. 46.…

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Q: sec x dx. Vtan x Calculate 2/tan x + 2 (Vtan a) + C O sec 2/tan x + C 3 O 2/tan x + 5/tan x + C O…

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Q: y = Vsin (x)+ /sin(x)+. sin (x)+ sin (x)+ Vsin (x)+

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Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

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Q: etermine whetter fie differential eguetion is linegr or non lineqY and Ne reasons-

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Q: sin x dydx sin x sin x dA = dzdy = %3D 0.

A: Let's first draw the region of Integration and then evaluate the integration.

Q: f(x) = tan (2x5 – x) %3D f'(x) = 9хcosx f(x) = %3D csc(x) f'(x) = %3D f(x) = ex f'(x) = %3D e5x+3 y…

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Q: Bessel fundion Satis fies veyi fy that the Sinx the Bessel equation of

A: We have to verify that the Bessel function J12x=2πxsinx satisfies the Bessel equation of 12.

Q: 3 sec u du = ln | sec u + tan u + C

A: Given the function

Q: Qi show that: dsechu) = -sechu.tanu. de

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Q: Find y' of sin(x+y)=x+y

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Q: A) Use the chain rule to find dt where wxty,x = sint + cost y cost- sint.

A: We will use chain rule to find the answer :)