ind a prece wise smaeth para meterization of the pn C C: the Ariangle with Yerdices Co.0),(2,0),(2,4) below (2,4) 4- Co,0) C2.0)

Q: az Let z=xy-e'siny, x-uv, y=7Vu?+v?. Then at (u,v)=(7T,0) is du

A: Given that z=xy-exsiny, x=uv, y=7u2+v2find ∂z∂u at u,v=7π,0

Q: A. cos (T – n1) n=1

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

Q: dw Given, w 2iz- sin iz. Find i dz o-2+cos z -2-cos iz -2+ cos iz 2+cos iz

A: option (c) is Correct

Q: Find the area inside the circle r=−3acosθ and outside the cardioid r=a(1−cosθ), a>0

A:

Q: sec? a tan zdz Evaluate +C

A:

Q: | 12sin z cos zý3 sin? z + e® dz

A:

Q: az az e H.W : use the Implicit Differentition to find ax 'ay 2) xyz – 4x²z² + cosxy = 0

A:

Q: дz əs дz at || 11 z = e cos(8), r = st, 8 8 = √ S6 + 56

A: Solution is done in step 2,3

Q: dy if y=| cos Ode dx if y= [ cos Od0. Use the Fundamental Theorem to find 3

A: We will use newton leibniz theorem to answer the given question .

Q: On taking AABC, use cosines law: 450 300 500 Om)* =(450 m)* +(500 m)* – 2×(450 m)(500 m ) cos A…

A:

Q: 3 t coso ,3 sin 0 sing dr d0 do /2 0, 0.

A:

Q: 1. In triangle ABC, AB = y, BC = r, AC = 8, and the perimeter is 20. a) Write y in terms of x. b)…

A: It is given that

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

A: Solce

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3 + 3…

A:

Q: Let z(x, y) = xy where x = r cos(80) & y = r sin( - 50). %3D | дх ду дх ду & ar' ar' a0 az dz & ar…

A: Let z = f(x,y), then,   ∂z∂r =∂z∂x · ∂x∂r + ∂z∂y · ∂y∂r   ∂z∂θ =∂z∂x · ∂x∂θ + ∂z∂y · ∂y∂θ

Q: b) A particle moves in simple harmonic motion according to the equation, s = 0 x Acos(wt)+ 0 ×…

A:

Q: (b) (sin 0)y"+ (0+ cos 0)y" 2tan@

A: Given: sin θy'''+θ+cos θy''=2 tan θ (a) The number of the highest derivative in a differential…

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

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Q: :)Poue that sin A osA os 2A =1 sntA Henve er otherwisesolve Sn AsAfos 2A = 0

A: We will prove the given statement.

Q: (i) Let f(x) E[an cos(n7x) + b, sin(nax)] , %3D where, | +x, -n <x< 0 | 0, f(x) = 0 < r<T. Then, b,…

A:

Q: 2sin(e²^) cos(e²") dx, we let u=e2 To evaluate A) True B) False

A:

Q: ind r. f'(t) = sec(t)(sec(t) + tan(t)), = -3 f(t) Need Heln? Read It Watch It

A:

Q: Oz Let sin z = xz+ xy?. Find I+z+y? O a. COS Z y2 O b. COS z-1 c. z+y? COS z-I O d. y? COS Z-I e.…

A: Given that: sinz =xz+xy2

Q: D. Use the Wronskian to detcrminc whether or not the vcctors arc independent or not (the answer for…

A:

Q: Find the area. a. Inside one leaf of the three-leaved rose r= cos30 b. Shared by the circle r=2 and…

A: Given that a) r=3cos(theta) b) r=2 and r=2(1+sin(theta)) c) r=-3cos(theta) and r=1-cos(theta) We…

Q: Find the integral: 1 = (cosax cosnx) dx (A) I = a2-n? (C) I = (an) +n2 JAN a sinan cosna 4a sinan…

A: we have to evaluate the integral I=∫0π(cosαxcosnx)dx using formula: cos(a)cos(b)=12cosb+a+cos(b-a…

Q: H.w Evaluate;- Cos TT lt-1)idt

A: To evaluate:  1) ∫-∞∞δt-2e-tcosπt-1dt2) ∫03∫-∞∞t2+4δt-τdτ dt

Q: Hw/ plot O r=2.2 Cose O r: 5+3 Cos e Or=l+2 Cose Or: 2. Cos O r=S-Sin 8 between 8=0 4

A: (1).  The given polar curve is: r=2+2 cos θ

Q: Ifcesese - sin e = t and sece - cos e = m. prove that 1'm? (12+ m? +3) =1

A:

Q: If f(z) : f'(z) =D %3D coS I - 6 tan z, then %3D

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: c) I (6x° cos(x) + 5x – cos(7x)) dx (HINT: Consider symmetry) -

A: We need to evaluate the given integral.

Q: (2 cos t, 2 sin t, t), where 0 <t < .

A:

Q: R/2 cot 0.cos ec 0.d0 = ? /4 (hint: u=cot0; du = -cos ec²0.d0) %3D

A:

Q: 1. Use Trigonometric substitution to evaluate f dx. Hint: Ju? – a² let u a sece.

A:

Q: 4)/caso+i)de; let x be const ant a)cin Ceti)+c+x A) -sm (cH) rc -in c.) -sin(c)+c a.) sin (c) + ct X

A: Let's find integration of given function.

Q: (b) y = e-u cos(u) dy = -e"sin(u) – e"cos( u) os u

A: The given function,  y=e-u cos(u)

Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f,(8,2,0). Answer:

A:

Q: (sin 0 – 2rcos?0) dr + rcos0 (2rsind + 1) de = 0, when r = 1; 0 = 0 %3D

A: We have to find the solution of the differential equation sin θ-2r cos2θ dr + r cos θ 2r sin θ+1 dθ…

Q: Evaluate F di where F = (4z, 0, - z), and C is given by 7(t) = (t, sin(t), cos(t)), 0 st<R

A: Use parametric to solve

Q: 3.) Evaluate ff cos(x-y) sin(x+y)dA, where R is the triangle with R vertices (0,0), (-л,π), and (,)…

A:

Q: Hawad Findthe areas fak the fallowing regions 2 Area af the region insidethecircle (r=1) and outside…

A: Given

Q: Let w = x*y cos(42). Find the following. (a) (x, y, z) = %3D (b) (x, y, z) = ду (c) (x, y, z) = dz

A:

Q: Let z = r+iy, r, y E R. Show that if cos a = 0, then cosh y cosh y 1 <1. | cot 2|2 :

A: Let z=x+iy, x,y∈R. Consider cos x=0. And we know that cot z=cos zsin z

Q: Ⓒ'Evaluate Sot So Sox sing ²sin y dy dz dx tim of the

A:

Q: (a) Evaluate O ezz C cos(TZ) where c is z = 1

A: The objective is to evaluate ∮Cez2cosπz where C is z=1 Singularity of ez2cosπz are,…

Q: luate by Green's theorem F.dR where F= -xy (x i-y j) and C is a (1+ Cos O).

A:

Q: We have r(t) = (2e-t, sin-'t, In(1 –t)) , %3D Find 1- The domain 2- ar , an, T, N and t at t=1

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.