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Q: Find λε R such that Σ n=1 -200A +24+1 25" = 26

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Q: Choose the correct dependency diagram for de / da. A. OB. Oc. OD. de Choose the correct chain rule…

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Q: sin(3z) Let f(z) = and C: ]z – a| = 1. Then ſ. ƒ(z)dz = z2(z-n) а. 0 b. 2ni с. — 2пі d. None of the…

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Q: 1 COS x dx X - sin x | C. #55. 2)

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Q: 1. Show that Sº, cos dx COS L m +n L n=m

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Q: a? -1 a a cos + C dv 1) Using find SVe* V 2x 4 dx (Hint Let V = eX)

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Q: snip

A: Given, cosjx,coskx, ∋j≠k, k≥1 if inner product of two function f(x), g(x) on the interval [a,b]…

Q: e interval 0, 2T). Approximate the solut 6. cos x(coS +2) 1 11

A: Consider the provided equation and simplify:

Q: Show that S COS TX 2x - 1 dx KIN ㅠ 2

A: We transform the integral into another well known integral and then evaluate it.

Q: differential cgnatuin as A. Identify the given to the dependent variable, degce z the eguati degre 3…

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Q: dt. (t² – 4)? 2.

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Q: 37T .27 such that cos a = 2 2 Determine the value of Let a E CSc a.

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Q: ON 3 sec3(In x) + sec2(In x) tan(In x) 2х n x) tan(In x) n x) dx c³(In x) + sec²(In x)

A: We have to choose the correct option according to the given information

Q: kit emint the squar rool of Z= Z [ cos (E) i inn (4)7

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Q: 2 -t+ sin t 11. lim t-00 t+ cos

A: We have to solve: limt→∞2-t+sin tt+cos t

Q: Evaluate Σ/ n=0 pr+1 1 1 + x² dr.

A: Let's solve given summation integration.

Q: If z2 +2z +23D0 then z=1±i O Z= -1±i O z=2+2i O z=5i-3

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Q: FIAD THE OTER FIXF FUH aiON OF ĦF xauTF XHGUE X O SIn X =3

A: The given function is:sinX=35To find other five function

Q: Find =. Leave the answer in the form a + bi.

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Q: Q.3 Evaluate the by using the appropriate u –sustitution. cos (ln x) dx

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Q: Evaluate Jo F. dr where F= (-z, y, 4x), and C is given by r(t) = (sin(t), t, cos(t)), 0≤t≤T.…

A: I have explained everything with in the solution. Please go through that.

Q: Let ( A) D = and BD= . Find the angle between BD and A D* O [cos] 2/N(30(21)) O [cos] (-1)…

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Q: Evaluate ycos z sin x dz. 3 3 7 + (*) cos (x) + cos? (2) 2 X syntax error. + C

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Q: Given: HD NA m2 DHN < MZANH Prove: DN < AH Proof: H A N

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Q: aw and əs aw Q2: Find when r = 1, s = -1 if ar w = (x + y + z)? x =r - s y = cos(r + s) z = sin(r +…

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Q: Which expression is equivalent to cscαsin(α−β) for all values of α and β for which csc α sin(α−β) is…

A: Given: Which expression is equivalent to cscαsin(α−β) for all values of α and β for which csc α…

Q: Find lethere Le iS arde anc

A: Introduction: The line integral of a scalar valued function is a definite integration in which the…

Q: categorize whether equation is PDE or ODE, linear or non linear, degree and order

A: Given differential equation is: r^2 . (y''')^3 + tan(y''')^4 = (r + 4)^2 We have to check whether…

Q: ||3–x²||1,0.5F 3

A: It is known that fx=maxx∈E fx. This implies that,

Q: cot² cosz 15. Simplify the expression cotx-cos² z 0-1 5 01 O -2 02

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Q: Evaluate Sin (OS - Cos(2x 2. F(Xg.2)2(24-2)で+(2x)デさ(x-g)K C:F(t) = -3€ t+ (2€ + 1) jt4kg ÖZ t<2

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Q: 1. Given x = r2 cos(20) and y = -r² sin(20)

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Q: Let y+ 2 sinty) - 2-e. Then y at x=0 O a 2 O .1 Oc2 O d.- 1

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Q: Refer to the figure below. Find a + b., when t = 0, x = 5, y = -6.

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Q: Being r + z2 + yezz + z cos y = 0The values of and - in (0,0,0) are, respectively

A: The explanation of answer as follows :-

Q: Show that if z = cos u + i sin u, then | z | =1

A: We have to show that if z=cos u+i sin u, then z=1. We know for any complex number if z=x+i y then…