6-8(/2) Ce?: x3+2°<9, x<0?\ ): ト 4,X,c03 and 年(カx2)= (4),6) = (-2x2 , 3w×2) ncludng Sfidx + dr2 = ST prove that.

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Q: 10. Since (7,-1) is a point on f (x) cos z,which point will be found onf'(x) = cosx ? %3D O a (1,ח)…

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A: Explained below

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Q: 5) - sec2 x y And the ares Of the Shadid regran 3- 2- y = cos x х 4 - KN

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Q: Solve 2 cos (t) - con(t) – 3 = 0 for all solutions. where ke Z

A: solution of the eqauation

Q: GIVEN: [7 A = 2 340 -71 - 3 1 -1 4 6 010-3 -3 -5

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

Q: 8- Evaluate a) Sz? + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) S 3x. csc² dx x3-9x2+8

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Q: 4. Find all solutions of sec (x--) + 2 = 0 in the interval [0,2n) 8

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Q: dont understand why integral(cosnpix)/p)(cosmpi/p)=2*integral(cosnpix/p)(cosmpix/p). Can you please…

A: Given,  ∫-ppcosnπxpcosmπxpdx=2∫0pcosnπxpcosmπxpdx To prove this we will use the theorem mentioned…

Q: (1+i)·(10Z60°) Express your answer in rectangular form. (3–7i)+(9Z120°)`

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

Q: 3] y = 12x - 2x+ 5 Degree: Sign of LC: as x→-0, y→. as x 0, y -

A: We have to find the degree and sign of LC and find endpoints.

Q: Therefore, YZ-F Find the coc 1. (-2, 3, 5) an

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

Q: y = 46 tan B3 – 2 = 4¢ tan az – 2 %3D and y = 46 tan B2 +2 = 46 tan æ3 + 2 %3D and hence all the gas…

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Q: Solve z-(21TI)2 Ti liti) -0 Expoess the solut ibns in Theia taigrometric

A: Here, we need to solve z2-2i+1z+ii+1=0. To avoid complication, we will substitute z=x+yi.

Q: Use the Intermediate Value Theorem to show that the equation () 2021 E) - cos(t) = 0 as at least one…

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Q: Solve sec(x) = on [ 0, 27 ). - There are two solutions, A and B, with A < B. Give your answers…

A: The given equation is: sec(x)=95 So, the solutions are: x=0.98176535+2πn,5.30141995+2πn;n∈ℤ

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A: The given equation is cos2t=cost.  Solve the given equation as follows:…

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Q: What are all of the solutions for the equation 2sin²(θ) + 3sin(θ) + 1 = 0 on the interval of [0,…

A: solution:-2sin²(θ) + 3sin(θ) + 1 = 0,    θ∈ [0, 2π)2sin²(θ) + 2sin(θ)+sin(θ) + 1 =…

Q: 13 A Iz =, arg (z) =tan-(8)- 13 B arg (z) =n-tan-(8)

A: the given complex number is 3-2j2j+1 rationalize…

Q: Hence, using chain rules find y' i. y = sin(2x² + tan(6x² – x)),hint: u = 2x² + tan(6x² – x) ii.y =…

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Q: -V3 sin x = 2.

A: Topic- trigonometry

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Q: Find all the roots, of 2=+1+V3j A =D/2 (cos +j sin-) - B z=V2 (cos (-+ka) +j sin ( + ka)), k=-1,0…

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Q: ,2 - 1 If z = cis 0, show that i tan 0. 22 +1

A: this is complex analysis question and also very lengthy questions so I can do it in advanced…

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Q: 3) Express 4sin 2x+3 cos 2x in the form of Rcos (2x-a). Hence, solve the equation | 4sin 2x+3 cos 2x…

A: The given trigonometric expression is, 4sin2x+3cos2x=5432+42sin2x+332+42cos2x=545sin2x+35cos2x⋯⋯1…

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A: We have to find the equation of a cosine wave that is obtained by shifting the graph of y = cosx to…

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A: Given  sin 3x, [0,2π)

Q: (12,50 Puanlar) 3- Evaluate the integral 3x +2 dx. V5 - 22 a) – 2 arcsin V5a + 3/5- a? +C b)2…

A: Given: The integral is ∫3x+25-x2dx

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A: Given data,          2sin4x-3sin2x+1=0 formula use,              a2-b2=a-ba+b

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A: The given differential equation is  y'=1+sin2xy On simplifying this, y'2=1+sin2xy. Hence the…

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Q: Use the most appropriate method to solve the equation 7cos x = 4 - 2sin2 x on the interval [0, 2π).…

A: Given trigonometric equation is 7cosx=4-2sin2x   .....1

Q: 3. Suppose csc(A) = where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: See attached image. Please provide a solution with a detailed explanation of steps.

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Q: secx + 1 51. secx - 1 (cscx + cotx)? %3D 52 56 verify that the equat

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Q: 10s¯ + 8s + 29 inverse laplace ( (2s 3s + 7)- -

A: We have to find the partial fraction first.

Q: 3 Г 3 +x = 2. - -xT secIX 4 .a O T COsecTX bO 4 +> T COseCTX .c O - +x2 4 T secTX .d O -

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Q: (b) Use de Moivre's theorem to show that sin 50 = 5 sin 0 – 20 sin 0 + 16 sin 0. Hence, solve 32x-…

A: by using demoivres theorem , show thatsin5θ=5sinθ-20sin3θ+16sin5θ Solve 32x5-40x3+10x=3

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Q: 3) Find the Frenet (TNB) frame for the function at the point (2, 5n,0). Hint: once you find T and N,…

A: Given that  r(t)=-2cos3t,5t,2sin3t The formula for T is, T=r'r', Take the derivative for r,…

Q: 2 Find the points of intersection between r=2 cos20 and r = 1- cose

A: given r2=2 cos 2θ and r=21-cosθwe need to find the intersection between two polar curves

Q: 2. Solve: tan(3 T - 4) = 1 Te [0, 1 %3D 2 T = 80 %3D 10 3 A %3D 25 T = 20 %3D 3 л

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Q: The equation, therefore, becomes 6cos x sin y(y') = cos x cos y- sin x sin y(y'), %3D and we need to…

A: Given equation in part 3 is  6cosx-siny(y')=cosx cosy -sinx siny(y') we need to bring all the y'…

Q: 26. /(х, у) — х 27. f(х, у) — sin y 28. /(х, у) — х1 + 9у2

A: fx,y=x fx,y=siny fx,y=x2+9y2

Q: When r^2 = x^2 + y^2, we have x = rcos theta and y = rsin theta, and  When r^2 = y^2 + z^2, we have…

A: Consider the following: When r2=x2+y2 , then x=rcosθ  and y= rsinθ, When r2=y2+z2 , then y=rcosθ and…