1 Convert r = into Cartesian coordinates. sin 0 – cos 0 O A. y = -x – 1 O B. y = x + 1 O C.y = -x +1 O D. y = x – 1

Q: S 4G- e-) cos (e?+ Inz) dz | A 4 sin (e-z+ In z) + C C sin (e-2 + In z) + C 4 sin (- e-) + C sin (-…

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Q: az If r?sin(0) = (rcos(0) – 1)z , where r and 0 are independent, determine az and ae D. ar…

A: Given: r2sinθ=rcosθ-1z We have to find ∂z∂r and ∂z∂θ. Partial differentiation: Differentiation of a…

Q: 3. cos? (z) sin“ (2) dz

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Q: 1. Evaluate COS dır V1- 2 sin æ (7/6 (a) ( - z)e* dz (b)

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Q: (c) x(t) = eat cos s wtu(t), a > 0 (d) x(t) = e-af sin w,tu(t), a > 0 %3D

A: Let xt is a function. The Fourier transform of the function xt is denoted by Xiwor Xf and defined by…

Q: | 12sin z cos zý3 sin? z + e® dz

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Q: 3. Simplify x(t) = 3 cos(27200t + + sin(27200t + to the form x(t) = a cos(27200t + 0) where a and 0…

A: To convert an expression of the form Acosx ±Bsinxmultiply and divide by A2+B2=A2+B2AcosxA2+B2…

Q: dx. sin(2x? + 1) Evaluate In|csc(2a? + 1) –- cot(2a² + 1)| + C 4 O - cos(2x? +1) + C O 4 ln|csc(2a?…

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Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

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Q: The position of a particle moving along the x axis is given by s(t) =2 cos t + 5 sin t state the…

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Q: 6. Setting æ = cos 0 show that T.(e) = [(- + ivI- =')" + (* - ivī- =')"] n where i = V=1.

A: This immediately follows as a consequence of De Moivres formula which states that e^(it)=cos t + i…

Q: 35. The cissoids r = a sin 0 tan 0. (See Exercise 29.) Ans. sin 0 cos 0 dr - r(1+ cos? 0) d0 = 0.

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Q: (a) Find a function u(x, y) that is harmonic in R2 and that equals f(8) sin(30) + cos(40) on the…

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Q: Eliminate the parameter t in the following. x = cos 2t, y = sin t

A: Given that x = cos 2t; y = sin t To eliminate: the variable t Needed formulae: cos 2t = cos2t -…

Q: S"cos(In x) dx=D? Hide answer choices A 1/(cos 1) B) sin(e) c) 1/(sin 1) (D) sin 1

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Q: If Z = cos () +i sin then Z-Z+1=. .

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Q: 1- cos A + sin A -then 2 sin A If y = is equal to 1+ cos A + sin A 1+ sin A

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Q: What substitution should be used to compute | 1 dx? Q# -9 x = 3 sin (0) а. b. x = 3 tan (0 ) x = 3…

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Q: 1 let r0) -(sin 34, cos 3, Jī r), a) Find 7(1) and N(1) b) Use your results from part a) to find…

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Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -;…

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Q: Sంబు ఒపా వింద ఇ + పిల్లయ 2-Sin LA Sin A tos A Sin A t cOS A 0.

A: Given : (2sin³A + 2cos³A)/(sinA + cosA) = 2 - sin2A

Q: 9. dt + 을 = COS t + Answer: s = sin t + 을..

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Q: 10. r (t) = (2 cos t, 3t, 2 sin t)

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Q: 3. Find all angles 0 between 0° and 180° satisfying the given equation. V3 A. sin 0 = 2 B. cos 0 = 2…

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Q: 1 -³ e"/ cos? e ,? dr sin@de ý do = x 32na X = ?

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Q: 41 cos t dt = 1+ sin?t /2 If q sec e de, then a = b = and q =

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Q: du u = ek sin-¹ m. m = sinx.k = 2² Iny,l == then at mv2 In 2 4 In 2 b) 2√2 rv2In 2 # In 2

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Q: If /(sin(@))° cos(@)d0 = u' du, then u must be equal to Select one: O a. sin(@) O b. – cos(0) O c.…

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Q: 17. x= sin t and y = 2 – cos´ /

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Q: Given f(x,y,z) = cos(4xy) + sin(2z). Find f,(1,2,0). Answer:

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Q: Evaluate k sin(kx – T) dx where y and k are independent of æ, and y is given by the solution to the…

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Q: Zcos?x+Sinx-|-0 COS Solve for 0L X Y

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Q: e. Find sin (x – y) given that sin x = 8/17 with 0 < x < 90° and cos y = -24/25 with 180° < y< 270°.…

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Q: Q7. If z = (+ i), then (z)³ = a. 2/2[cos () + sin()1 b. [cos () + sin ( )]

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Q: 2 (cos Fe tisin) - fsih 똥) Q) put Vz (cos 3+P sin I) 6. in expoitial hor m

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Q: Determine the exact measure(s) of 0, where 0° < 0 < 360°. and Cos 0 = 1. %3D

A: To find:- Determine the exact measure(s) of where 0°≤  θ ≤ 360° Given equation cos θ = 1.

Q: Find r′(t). r(t) = 3 cos3 ti + 2 sin3 tj + k

A: Given that, rt=3cos3ti+2sin3tj+k

Q: 29 yn C ini n0 Ca 22. Evaluate cos-1(sin ). 16 h cowor

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Q: s).F ecosa sin a da cos a sin a da 2

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Q: 10. (r + sin e - cos e) dr + r (sin e + cos e)d e = 0

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Q: 10. By trigonometric substitution, we can transform dx into x*V4 - x2 A. Ssi'e sin ede В. 1 1 С. 32J…

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Q: When J x°cos (x-)dx is evaluated using IBP, the value of J v du is? A - cos (x2) B none of the…

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Q: 13) sin z cos r dr

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

Q: Eliminate the parameter t from the following: x= 9 sin t, y = 9 cos t

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Q: (1) Given that z = 1-iV3, express z in the form r(cos e + i sin e) Hence write down z7 the form

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Q: a It is given that, ſx cos x dx = 0.5, where 0 < a < }n. i) Show that a satisfies the equation sin a…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

A: Given: 0&lt;x-a&lt;δTo prove:sinx-sina=2cosx+a2sinx-a2≤2sinx-a2

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.