Find the following antiderivative: 42°(42° – 1)° dz

Q: fsin a? dx

A: I have appended the formula used in the solution part

Q: Use the formula k(t) k(t) = TEREST {|r' (t) × r"(t)|| ¡|r' (t)||³ r(t) = esti + e-tj to find (t).

A: The given curve rt=e5ti+e-tj

Q: e" corh w dw

A: Explained below

Q: Suppose the reactance is 183 and the resistance is 220. Find the impedance and the phase angle

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Q: b. Find y", given y = e¯" In x.

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Q: In the given equation , select the correct antiderivative :-  see the equation as attached here

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Q: Solve for the given DE and indicate the type of DE y" +y = csc x ) ==- 2, y" (G) y' = 3

A: Given the DE is y''+y = csc x ;   y'π2=π2-2,   y''π2=3

Q: Find the antiderivatives. 1. sin? x dx =

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

Q: Calculate dx - cos u for the following choices of u(x): (а) и(х) —D 9 — х? (b) и(х) — х-1 (c) и(х) —…

A: Given u=9-x2So, ddx(cosu)=-sinuddx(u)=-sin(9-x2)ddx(9-x2)=-sin(9-x2)(-2x)=2xsin(9-x2)Answer(a):…

Q: dy + 2xy? = 0 dx

A: We will first write the given non linear differential equation in rearranged form then we find the…

Q: cos z dr 1– cos- tan² r dx cot2 r dz

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Q: (b) 5 (2 cot 5")(1- csc 5") d.r 11

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

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Q: Given a = 7t – 15 and y = 49 sin t dy (i) dr dy (ii) dr?

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Q: Given z = 66 sint +22 and y= 66 cost+49

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Q: Given x? + y? + z? = sin (yz) find dz/dx %3D

A: Just differentiate with respect to x and let y as a constant.

Q: Find : b e R such that 81 / sin(b)y dS 10' whereSis the part of y? + z² 4 which is between x = 3 - z…

A: ∫∫Ssin(b)y dS=8110where S is the part of y2+z2=4 which is between x=0 and x=3-z in the first…

Q: ple to nnd (8) for the given finction. b. f(t) = e" sinh?t.

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Q: dw Given, w=2iz – sin iz. Find i dz

A: Cos(iz)-2

Q: If possible, find the general antiderivative of (7+e*e*c

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Q: E(X) = i Round your answer to the nearest integer. %3D J Med:

A: Given that  X~Lognormal(θ=5,w2=9) Mean of Lognormal distribution  E(X)=eA Where A=θ+(1/2)w2

Q: For E =r sin Of +r cos o0+r sin oo, find V E and x E.

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

Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: AC = 36 cm, and BC = 27 cm. A %3D Verify that DE || AB. D 20 cm B E 15 cm

A: Given: AC=36cm, BC=27cm We know that in given triangle if CDEC=ADBE=ACBC then DE¯∥AB¯ Here,…

Q: 29. * r dx tan? r sec

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Q: Given w = 2ye? sin(xz), find d3w a. dzdxdy d?w b. - dzdx

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Q: (a) Find for z e" tan (y), where r 2s – 7t and s (b) Find for f (r, y) = e + I in (y) .

A: 1. Given that z=exytany      Where x=2s-7t and y=st       find ∂z∂S 2. Given that f(x,y) = exy+xsiny…

Q: Given: ASVT- AWYX with moasuros as shown Find: WY and VT W 10 Y. V.

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Q: Let P = {x € R | sin(x) = 0} and Q = {na | n E Z}. What is the relationship between P and Q?

A: Let P = {x ∈ R | sin(x)=0}, and Q = {nπ | n ∈ Z}. What is the relationship between P and Q​

Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: Find the following for the given equation. r(t) = (e, 5t?, 6 tan(t)) (a) r'(t) = (b) r"(t) = (c)…

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Q: Find the Value of the following de terminant where a,bIc are Constants -9 DA

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Q: 47. e2= sin(5x) dr

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Q: Calculate the following antiderivatives: (a) 1' dz = +C. (b) / 28/7 dæ = | da = +C. (c) 2Va dx = +C.

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Q: Given f(x, y) 4x + 5xy + ly", find the following numerical values: fa(3, 2) = fy(3, 2) =

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Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

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Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: 31. tan² r dr

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Q: Use. U substitution. to find each antiderivative. J3(2x+e^) Nx?+ e% dx.

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Q: olve for the indicated variable.   at2 + uy = h    for t

A: Given,

Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: Bearing Ato BN 316 E A to c S 88:E B to G S 54°E rt ABE E9.71 Bc=?

A: Use of trigonometry is required

Q: find ди ds and dw dt

A: Given  217. w=5x2+2y2, x=-3s+t and y=s-4t218) w=xy2, x=5cos(2t), y=5sin(2t)

Q: dy If y = (tane) V20 +1 find ,then choose the correct answer: dx

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Q: Find T, N and k for r(t) = (e' cos t)i + (et sin t)j + (e)k

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Q: solve the following equation using substitution: y(xtanx + lny)dx + tanxdy = 0; hint: let z = lny

A: We will use given substitution.

Q: Find the soIltion to the following equations: %3D iv)6=多はら

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Q: dw Given w = 2ye? sin(xz), find : dw and dz dy

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.