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Q: 2x Ex FIND THE DERIVATI VES %3D

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Q: sin y dydx 1. fo S. 2. SS 20² sin rydydr 3. fo S a*edxdy

A: Since you posted 5 questions, i can answer only first 3. Please reupload the other questions.

Q: Given y In(z+1) dy what is ? dy dz z+(x+1) In(z+1) 1²(x+1) (z+1) In(z+1)–x 1²(r+1) dy z-(x+1)…

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Q: using the false - position to doter mine the voot of the eqution fcx) = 0-7 x5- 8X* +44 x-90 x+82 X…

A: Suppose the root of the function f(x) lies in the interval xl,xu. To obtain the solution of the…

Q: 2) Y is a ramdom variab le which has dety it y o other wise a) Fünd Fy ly)

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Q: d) Describe a physical situation that would produce the above boundary conditions on a rod situated…

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Q: Nexify that the indicated unction a Solution of the given is differential eauuation. Oan s Some an…

A: The differential equation is given as y''+y'-12y=0                      (1) The solution is given as…

Q: y In x – x In y = 4, y' y In (x² + y² )= 2 arctan 2) = 2 arctan y'

A: This question can be solved using the concept of differentiation of implicit function.

Q: dy when t = 7. dx Evaluate y = 2z? – 3z + 5 x = 4t +t t = z? +z+1

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Q: In Exercises 49–54, solve for y in terms of t or x, as appropriate.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Delermine seich all mateuraal neumbers e, y 4 that ayz t scy t Iz tyz tety +złl=2020

A: You must have an idea how to do factor of any equation. The

Q: 3. ex In y dy – y e` dr = 0 2 (In y) In y + e* = c In y - e+1 2 (In y)- e* = c

A: See the details solution in below

Q: Soru 6 dz Find when u= 1, v= 0 if z= sin(xy) + xsin(y), x = u² + v, y3 uv. av A 2 -1 D -2

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Q: 8. y(xtanx + Iny)dx + tanxdy = 0 hint: let z = Iny %3D

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Q: Calcule aw/ as si w= e*3y+z², x= 3s- sen(t?), y= cos(5s) – 4t; z= In(s² + tª). exzy+z² (6xy+…

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Q: dy for 4xeY = 12- In 729 +6ln x, with the conditions dt Assume x and y are functions of t. Evaluate…

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Q: --- Q#3 Evaluate Cf 2x dV →Where E = {(x, y, z)| 0sys 2,0sx sV 4 - ,0 < z y} ,0 sz< y} Ee

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Q: ) y = 3logst ) y deriv = (sech t) (1 - In(sech t

A: A function's derivative is the function whose value at x is f′. (x). The graph of a function's…

Q: The DE : y = e-/Y is seperable Select one: O True O False on

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Q: Given F-2xyzi-xy Î+7x Ŕ Find the m Of F olong xy j+Zx R Find the int eom a Path defined by 2t î -tj…

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Q: y" + 4y = g(x), y(0) = 1, y'(0) = 5, where S sin(x), 0 s x sT/2 10, g(x) = x > T/2 , OSXS T/2 Ex) =…

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Q: dy when t = 7. dx 13. Evaluate y = 2z? – 3z + 5 x = 4t' +t t = z? + z+1

A: Derivative of the function decides whether the function is increasing or decreasing. If the first…

Q: aw Find for w e" sin p where ax p = sin x q = z2 In y x- at (x,y,z)3글) %3D z2 e sin-1 x = Hint: dx…

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Q: -Skatch the reglén of Etyndtion , reversed the order of itegral and evaluade dx dy 7 | +

A: We have to sketch and after changing the order of integration evaluate it.

Q: 52. Let y = x? + 7x – 5. Evaluate dyldt when x= 1 and dx/dt = 1/3. 3

A: Given function is y=x2+7x-5. To evaluate dydt when x=1 and dxdt=13. Solution: We have function…

Q: 1.Evaluate S. (x² + y² + x²)-²ds where C is the helix x = cost, y = sint, z = 1 for 0 < t ST

A: The length dS is: ds=dtdxdt2+dydt2+dzdt2=dt-sint2+cost2+02=dt

Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: 35. Let h(x) be an antiderivative of Vx + In(x) If h(3) = e2, then h(1) = %3D x3 arctan(x) %3D (A)…

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Q: -d करर पर volue (occummot 0 ) at 4%interest for companded continuously r 7 vears tor the continuas…

A: The formula to calculate future value when compounding continuously of continuous income stream…

Q: Classify the y'+y enx=0 dlifferantial equeltion dnd Pind its generdl solvtion.

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Q: O Let n be a posidive indeger with n>2 (x) Sten Ca) dx = tonn-t n-2 ton" (x) dx n-1 Derve the reduc…

A: Given ∫tann(x)dx, n≥2

Q: Show that y +4 dy = 4 In lyl – 3 In |y + 1| + C y2 + y

A: To Prove:  ∫y+4y2+ydy=4 lny-3 lny+1+C

Q: m. i) Proove thal kshere n g a positive enteger aud m7-1

A: Gamma function is defined as Γ(x) = Integral on the interval [0, ∞ ] of ∫0∞t(x-1)e-tdt

Q: = √ √ XY S: z = 9-x-y, first octant Evaluate xy ds.

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Q: y 1) x(In x – In y)dy – ydx = 0 Ans: = c (Xie, 2010) %3D 1+In y-In x

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Q: 1. Ir Y= 4 In (In (In(sec(x)) then Y =[4 (tan)/{ In ((In (sec)) In (sex)}] O True O False

A: Y=4lnlnlnsecx remember chain rule ddxlnfx=1f(x)ddxf(x)

Q: =Xtanx dk, Prove that ="IH (n+1)I,+(n-1) -1 T 1 2 n

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Q: Suppos analyts s? show work. you

A: Given that f is analytic. And z≤1 And f(0)=0 And f(5)≤5 The formula for derivative is,…

Q: Solue the differeulial equalion dy +9-é^ Cosre zo yo) =0. 2. by csing milne's methad with h = 0.1.

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Q: dy dx If y=e+19 then O 19e+19 O 4er+19 O 57er+19 O 3er+19 2er+19

A: Please see the answer in Step 2

Q: tione in detai 0 Ose dapaie teamfaven to rolve d'y + d dy ty=tet d+2 %3D dt with ylo)= 1 = %3D

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: ne exact length of tne X = Vy (y – 3), 4sys9

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Q: Ja ple 2: Let f (xr) = x on [0, 1] Calculate x dx and r dr by dissecting (0, 1] acaual parts and…

A: If lower and upper integral are equal then we say that function is Riemann integrable.

Q: d the val 5) y= 2cos 30 6) y= 4sin 20 cos 0 7) cot F 7) y= sin (0-45) 8) y = 2 + cos 0 9) y= 3sin…

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Q: Sdue the qllowing intial value problem dr ss=ス Sim xe,rc)=3 de Type as aexact rz? anwser, using…

A: Given equation is- drdθ=πsinπθ Then, ∫dr=∫πsinπθdθr=π-cosπθπ+cr=-cosπθ+c

Q: 2s+3 13. F(s) = s2–5

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Q: 1 dx (i): Trapezoidal rule, (ii): Simpson’s 1/3 rule, taking 6 equal intervals, J0 x3+x+1

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Q: Q3/ Evaluate Sz Vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A: 3 Given integral is ∫0π2sinxdx. i We have to evaluate the given integral by using trapezoidal rule.…

Q: Arrang e linear form: dy + Px)•y= Q) in ov dx (16 + 2+)dQ =[4(10+zt)- 20]dt

A: The linear form of differential equation is: dy/dx + P(x) . y = Q(x) Or dx/dy + P(y) . x = Q(y)

Q: 2)If X is exponentiol with porameter A ond Y is expom with parame ter B, ond X &Y are inde pent,find…

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