Given Z = 25 (cos 137°+i sin 137°),express Z in: %3D i. Cartesian/ Rectangular Form. 1. ii. Exponential Form. Given z, = 18(cos 175° + i sin 175° ) dan z, = 6(cos 54° + i sin 54°). Find: %3D i. z, • z, ii. Z2

Q: I. Solve the given LDE using the method of undetermined coefficients. 1. (D? – 2D + 5) y = e* cos x

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Q: AC = d and %3D INДАВС, АВ In ABCD, CBD = 0,BĈD = B,BC Use the cosine rule to show x = 2d cos 0 В, ВС…

A: Given: AB=AC=d ABC=ACB= θ CBD=θ, BCD=β, BC=x, DC=k

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: If cos t = - and t is in the 3rd quadrant, then sin t = V48 4 V80 8 V48 8 O V48 4

A: Since, it is given that cos (t)=-48and t is in the 3rd quadrant.Our Aim is to find sin (t)=?

Q: Calculate the length of the side XY given the following data for 29°: Sin 29° = 0.485 Cos 29° =…

A: Solve for xy

Q: In solving for the antiderivative of f(x)= (9 – x2)3/2 using trigonometric substitution, Jf(x)dx is…

A: Whenever we have a2-x2 , then substitute x=asinθ or acosθ.

Q: If sin z cos? z and if y = 0 when x = pi/2, what is y(0)? Express your answer as a fraction. %3D

A: Given: dydx=sinxcos2x,   yπ2=0

Q: Use the information given below to find sin (a+B). 5 with a in quadrant IV 13' cOS a= 12 sinß with B…

A: Explanation of the solution is given below...

Q: 2 cos 0 Só 3 rsine drdð 3

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Q: What is the general solution of (sin 8 – 2rcos?0) dr + rcoso (2rsind + 1) de = 0 ? - O rsine p2 cos?…

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Q: 4 Using trigonometric substitutions, S dx is equal to: xV16 – x²

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Q: Given that xs an auite angleand cos x = 3/4 , ind the exac valne d fan

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Q: If cos A with A in QIV , find sec %3D a. sec | b. sec 2. с. sec A d. sec 4-5 %3D A sec e. A2 1/2 II…

A: Since you are asking multiple questions. We are answering only the first question. Given, cosA=18…

Q: If z = 1+ 2i and w 3+ 4i, express in rectangular form 5 cos [Arg (2²)] + 5i sin[Arg w]

A: The square of a complex number z is the product of z with itself. Multiply 1+2i by 1+2i to obtain…

Q: a. If the Pressure produced by the gas cylinder of the motor of the rocket is governed by the below…

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Q: Given that z = 4 ( cos· 4 +i sin) and w = 1 – iv3. Find 4. %3D a) 2 w b) E c) arg (-), in radians as…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Find the exact Valve Sin (a-B); Sin a = for Cos B= 12 for B in Quadrant IV a m Quacront II and 73

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Q: Given sin(a) = and 0 < a <T/2, find the exact value of sin(a/2).

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Q: Given -x²+4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0? Sa A…

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Q: The imaginary part of G(jo) is equal to zero if find: w Hence, sin 0.80 + w cos 0.8@ = 0

A: Complex number Z=X+iY X=real part of complex number  Y=imaginary part of complex number

Q: The values of C, and C2 so that y(x) = C, sin x + C, cos x satisfies the following conditions: y(0)…

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Q: Express sin A, cos A, and tan A as ratios. 12 6V3 O A. V3 O- B. V3 V3,,2/3 , V3, O D.

A: We have to express sinA ,cosA and tanA as ratios

Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: Using a trigonometric substitution, the integral dz becomes: (z2 - 4)3/2 Select one: a. None of…

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Q: 4. Use the diagram below to complete the table. y B 4 Coordinates of B sin 4 cos 4 3n tan 4

A: We have to find coordinates

Q: a. If the Pressure produced by the gas cylinder of the motor of the rocket is governed by the below…

A: Given: P=sin4(V)cos3(V) W=∫V1V2PdV

Q: given the following non linear equation f(z)= -z + cos(z) on [0.5, pi/4] and using secant method of…

A: Given the following non linear equation

Q: O Find the inde frinite in tgal 曲 A cos (2¢) df

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Q: If f(1, y) = e“ sin 7y, then fay is given by: o - 28 et sin 7y O - 28 e“ cos 7y O 28 e" sin 7y O 28…

A: Given that: f(x,y)=e4x.sin7y

Q: Auuming that cal cul ate r Co.5 < X < 0:75).

A: P(0.5&lt;X≤0.75)=∫0.50.75f(x)dx, where f(x) is the probability density function. It is given f(x)=…

Q: If  sin⁡x=e^y,  0<x<π, what is dydx in terms of  x?

A: Given sin x = ey   ..................(1) Differentiating both sides with respect to x  d(sinx) / dx…

Q: Given /V-x²+ 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? Sa.…

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Q: Solve the following problems with complete solutions in a clean sheet of paper/bond paper. See…

A: Given differential equation (y2cosx-sinx)dx+(2ysinx+2)dy=0 We will find the solution of given…

Q: Given IV-x2+ 4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0 ? A…

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Q: The value of 'b' for which u(x, y) = ebx cos 5y is harmonic

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Q: Given sin(a) = and 0 < a < T/2, find the exact value of sin(a/2).

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Q: Given Cos(a) = and 0 < a < T/2, find the exact value of Cos(a/2).

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Q: given the following non linear equation f(z)= - z + cos(z) on [0.5, pi/4] and using secant method of…

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Q: A triangular frame, AXY, is leant against a wall as shown in the diagram. ZXAY =90° and ZCAY= 0°,…

A: topic - trigonometric ratios note : as per bartleby guidelines, we are supposed to answer only first…

Q: If air resistance is neglected, then the range R (in meters) of a projectile fired from a gun that…

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Q: If the solution to ſe2* sec²(e2*+1)dx is equal to k tan(e2x+1) + C , find the exact value of k... 1…

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Q: Find the solution set on [0, T. [0, 7). sin (x) + cos? () - 2 = 0 |

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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: Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy…

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Q: Express sin A, cos A, and tan A as ratios. 12 6. 6V3 OA. 글, V3 V3 O- B. V3 글, V3 O . V3, ,2/3 OD V3,…

A: From the given figure for angle A, opposite=63adjecent=6hypotenuse=12

Q: Given that w = cos +i sin 7 find the value of 7' - 7 II2 – w). | j=1

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Q: Find y'. а. уе* 3D х сos y b. In(3y) %3D 2х + Зу?

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Q: Use the reduction formula a cos(aE) + b sin(r) = Va² 6- sin(a + 0) to find all solutions to: Cos(20)…

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Q: E 13 N 12 A

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