Given: z = sin 3x cos 4y Find: z ду2 -3 cos 3x sin 4y -9 sin 3x cos 4y -12 cos 3x sin 4y -16 sin 3x cos 4y

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: 1 of 5 Complete the steps by applying trig identities to show that the left hand side of the…

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Q: Given (x,y) In(2xy) where x(u,v)=e" cos (4v) and y(u, v) = e" sin(4v). Find sin x cos x [Hint: tanx…

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Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

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Q: The rose - Firnt patal is given by the equation Select one: OT= 5 sin 80 where 0 E [0, 27]. OT=5 cos…

A: Given:          From the above graph the rose has 8 petals.    The polar equation r = b.coskθ , 0 ≤…

Q: aw and ar Q2) Find if as w = 2x + 4y - z, r+s X =r tan (s), y= sin (r - s), z=e**s.

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Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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Q: #/2 |cos" xdx kn/2 If 0 then K = %3D

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Q: Suppose sin u=x and u is between 0 and 2. What is cos u? V1-x2 | VI- 2² 1

A: Consider the following equation: sinu=x Consider the following trigonometric identity:…

Q: Q1: Determine -8 sec 7x (-4 cos? 7x + 6 tan 7x) dx. 32 sin 7x – 7 48 sec 7x + C 7 A -- В -224 sin 7x…

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Q: 1. Given z, = 5 cos 377 +i sin 37 and z2= 37 +i sin 2 find z,z2 where 0se< 2x. cos 2 2 37 +i sin 2…

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Q: Match the equivalent expression 1. 2. 3. 4. 5. 6. 7. csc0 tan 0 sin² 0 sece 1 + tan²0 1 + cot² 0…

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Q: 1 If sinx = and cosx < 0, find sin(2x). O 4 V6 25 2V6 O 2v6 25 O 4V6 25 O 2v26 25 4 25

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Q: Which set of values is the is the solution for (2 sin x +1)(cos x - 1) - 0 ,0 sis 2n ? 7. 11 1 5 7…

A: Given that, the equation is 2sinx+1cosx-1=0,x∈ 0,2π. Rewrite the 2sinx+1cosx-1=0 as,…

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: Evaluate sin 4t sin 2tdt. O a 1 sin 2t - 12 c0s 4 cos 6t + C Ob.1 1 sin 2t sin 6t + C 12 Ос. 1 sin…

A: ∫sin(4t) sin(2t) dt Here use formula sin(A)·sinB =cosa-b-cosa+b2 Here A=4t , B=2t  sin4t·sin2t…

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: What is the exact value of cos ZPQR? 3. R. 21 16 7 16 3 16 4. 1/4

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Q: if z sin とこ3r'+25 , Y=4イ-ス3 Z = 2r-35* W= Z Sin %3D * find aw,w ar me' me as

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Q: 85. z = Cos xy -y² cos xy -y sin xy, Əx %3D %3D = -yx cos xy sin xy - дудх 22- = - SII ty, x-cos xy…

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Q: 1) z = 6| cos 3T +i sin 2 +i sin 6 W = 12] COS 6 Find 2.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Which of the following is not true? a. 1 tan z sec zdr = sec zdr Ob. | sin z cos zdz = | 1 sin 2zdz…

A: We have to choose the correct option. a. ∫tanxsec2xdx=12sec2xdxLHS: ∫tanxsec2xdxLet…

Q: What is r 1- O Option 1 2 2 sin 0-3 cos 0 3 y = ² x + 1 2 x² + y² = 2y²-3x Option 3 in Cartesian…

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Q: We apply one of the Half-Angle Formulas to simplify the integral cos (5æ) da. VWhat is the resulting…

A: We know the identity  Cos(2x)= 2cos2(x)-1

Q: Evaluate f sin (3t) cos(3t)dt COS Select one: sin (3t) +C a. b. sin(3t) +C sin (3t) + C d. sin (3t)…

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Q: What formula would be used to calculate the right rectangle approximation of " (sin x · cos x)dx…

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Q: 1. Which of the following is NOT equivalent to cot 4y? 1+cos By sin 8y 1+cos 8y 1-cos 8y 1-cos 8y…

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Q: ,Insec 2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y (A In…

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Q: 2) If z = cos 0 +isin 0 show that 1 = 2 cos 0 a) z+-D 1 b) z" + 2 cos no %3D

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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: Assume that x, y ER and z = x + iy E C and answer the followings: 1. Evaluate sin(i) =?, cos(i) =? ,…

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Q: If Z +i sin( then Z-Z+1=... cos %3D 2 b 2- -2

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Q: 4. In triangle XYZ it is known that XY 1 YZ and sin X = cos Z. Which of the following must be true…

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Q: If z = tan d. 6 b ¹ (²) 2 c. d 2 1+z² 1-z² 1+z² then sin x = 22 1+z² None of the choices

A: To find the value of sin(x) in terms of z.

Q: Find all solutions to the equation: [sin(x)+ 1]2cos(x)-3]=0. Зп + 2nk, x = + 2nk, x = 11m + 2nk,…

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Q: The cos'ydy is equal to 3 1 A. siny + sin³y + sin³y -; sin'y + C 5 3 B. siny – sin³y +sinsy -sin?y +…

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Q: Which of the following is correct? 1. cosh²x + sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh…

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Q: a) By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x- 4 sin'x.…

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Q: By an appropriate trigonometric substitution, Choices: √ √10 sin sin 0 cos de cos √10 sin 0 1 /10…

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Q: After differentiating the last expression we obtain that 1 C(y) = sin 3y. Hence, we get 1 1 sin…

A: Given that, Cy=13sin3y                   1 and after differentiating the last expression, we get…

Q: If sin x+sin y=xy, find y. Cos y-x COSX-y y-COSX x- cos y Option 2 O Option 1 Cos x+1 CoS y +1 O…

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

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Q: dy is If y = csc (x³) then d.x %3D -6x² cos² (æ³) A sin? (æ³) -6x2 cos (x) sin² (æ³) B -6x² cos²…

A: Given : function y = csc2(x3)   To find : Derivative of the given function dydx?

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A: Given that              θ  = 7π/4 Here we have to find         sin(θ) and cos(θ)

Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.