3 -4 х; x(0) 1 -1 x' = -2]

Q: Express z = 12 (cos 225° + isin 225°) into its exponential form. ww

A:

Q: 3.2 Differentiate 3.2.1 y= x¹ tan 3x. 3.2.2_y=ln(2x²+1). e +1 3.2.3 y=- -1 the following with…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Evaluate [(1 +x-3 + sin4x)dx -2 cos4x X - + c 4 0x-- cos4x + C cos4x O 2x- 4 0 4x-두-5t +c cos5x + c…

A: As we know that the integration of : ∫fx±gxdx=∫fxdx±∫gxdx ∫xndx=xn+1n+1+c ∫sinxdx=-cosx+c

Q: (5) Find the particular solution passing through the point (1,8) How does this solution behave as t…

A: Sol

Q: d Select one: æ(sin=! æ)* 3x + 2 sin- x 3x x(sin x) -1 + 2(sin-1 x)? 1-a2 x² (sin-1 æ) 3(sin1 x) +…

A:

Q: 2. Solve: sin 3x dr + 2y cos 3x dy = 0

A:

Q: What is L in this problem?

A:

Q: Solve cosx + secxr = - 2 on [0,27). 3n 4 O 3n 2

A: Explained below

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

Q: 7/4 2 sec(6x)dx sin(r In(x)) 13x 1

A: (b)

Q: find general solution for:  1. cos2 x-3=-2cosx

A: cos2 x -2cosx -3 =0

Q: ーズ ず+2+4= 8x°+ 12€ (10 +2y+4y = 10 Sin 3X 42デ+44- gSia2x

A: As per the guidelines I have to solve only first question. So for more solutions please repost the…

Q: Place these trig equations into general form: 1. y = sin (4x + 3π/2) + 2 2. y = cos (3x - 6/7) 3.…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

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

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Q: Solve for Xi 31 In x =D 늦 (Inle t 21n2) %3D

A:

Q: [ 2x sin (4x)dx O =cos (4x) + C -x² 4 2 sin (4x) + 8x cos (4x) + C sin (4x) – x cos (4x) + C ○중cos…

A: Integration by parts

Q: Compute without using a calculator.

A: Given expression: sec-1sec3π2

Q: 5) Solve the PDE by reducing it to normal form xuxx-yuxy = 0. (CO2)

A: Since you post more than one non interlinking questions as per our guideline we can solve only first…

Q: Solve 2x cos2x + 3 = (x - 2)² using Newton-Raphson Method and an intial value of 1 with an error…

A: The given problem is to find the approximate root of given equation using newton raphson method with…

Q: The standard form of 3dy-xydx = 3y3e4x/3  by Bernoulli's equation is:

A:

Q: Solve for QIF 4 Cas G+2 sin 2Q+3in 203D0

A:

Q: S x2tan (x³)dx

A:

Q: (2.) (1-(In))^ (3.) yn + sin ()

A:

Q: 12. Show that the equation z + iz + 1 = 0 has neither a real root nor a purely imaginary root.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 5. Find all solutions of 2 cos x- -cos x-1 0 if 0sxs2n.

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 1. cos (- x) - sin (- x) -- sin (주-x) TT =-1

A: Given cosπ4-x-sinπ4-x=-1 We know the identity cos(a)-sin(a)=2sina using this we will get…

Q: Show that sin (2n + 1)z 2n +1 { 7/4 */4 0<まく

A: We will use complex analysis to solve the given infinite sum.

Q: 2. +4y= sin(3t), y(0)=2, y'(0) = 0

A:

Q: Solve sin 20-2 cos e on the interval 0 Sx <2n. 0, 7 3x ズ 2 2 21

A:

Q: 1 -~-² ( 5 (52² + 4) = = = √( ² ) 6' +4' sin2t.dt

A: As per the instruction, we will be answering the first question. For (1), We need to verify the…

Q: 2. -1- -729630 -540 --450 –-360 270 -130 -90 90 130 270 360 450 5 40 6 -1- --2 -3- -5- y = 3 sin(x +…

A: The mid-line is the point of reference. So to find the mid line we have to find the average between…

Q: Solve. Soc 3 cos (5xx)dx

A:

Q: 4. Find all solutions of sin x+ 2sin x cos x-0 if 0sxS2.

A: Note:  As per our company policy we need to answer only one question each time so, please repost the…

Q: 2 16n |xV8 - x³ dx: 9/3 3 11) Show that

A: Properties of Beta Function:  β(m, n)=∫01xm-11-xn-1dxβ(m, n)=Γ(m)Γ(n)Γ(m+n) ;       m&gt;0,  n&gt;0…

Q: 35) y = -4 sin x 4+ 2+ 2n -2+ -4-

A:

Q: 1261 (2x+1 dz 4-3x -x² 1 (((x+) dx (3) 28 (2x-3 dx √(x²-1) (2x+3) 31 32 33 dx √(x²+1) (2x+1) alx…

A:

Q: Find (1,0) where y2 + x2 + eV = 0

A: Given y2+x2+ey=0 ⇒y2+ey=-x2⇒ddx(y2+ey)=-ddx(x2)⇒2ydydx+eydydx=-2x⇒dydx(2y+ey)=-2x⇒dydx=-2x2y+ey

Q: 5. Find all solutions of the equation 2 cos2 x - sin x = 1

A: Solution -    Given equation -  2cos2x-sinx=1                        ........................(1) We…

Q: 9) Show that the equation x+ sin x=1 has at least one solution in the interval0,

A: Given equation is x+sin(x)=1 which can be written as f(x)=x+sin(x)-1 We need to prove that f(x) has…

Q: 2 2 sin (2t) dt. 8 - cos (2t)

A:

Q: (1) f(x) = sin (5x + 6) (3) f(x) = sin(x-³) (2) f(x) = sin (3x4 + 2) (4) f(x) = cos (4+ 3x)

A: To find f'(x)

Q: The simplified form of cos G- 13x) + sin + 13x V2 cos 13z + 2 sin 13æ O v3 cos 13z + sin 13x O cos…

A:

Q: 7. Algebraically solve for 0 < x < 2n a) 5-3 cos(2x) = 5+ sin(2x) а) b) 3 sin(x) = 1+ cos(2x)

A: We know, cos(2x)= 1-2sin^2(x).

Q: 1 Solve sin(x) + 2 O on [0, 27] || -

A: We will find the value of x in given interval.

Q: 9. Find all solutions of the equation in the interval [0,2n) cos(3x)=

A: If  From the given equation we find 3x using cos inverse

Q: (7) (4+sin-15x)° dx V1-25x2 3. dx (8) J Ja +x Vx

A:

Q: 4. Solve for all solutions to sin 3xcos 2x + cos 3x sin 2x =1 on [0, 2

A: Given: sin3xcos2x+cos3xsin2x=1 Identity Used: sinacosb+cosasinb=sina+b

Q: Q# (17' Compute: [tan (10x)sec(10x)dx tan³ 1 tan(10x)+C 10 1 A) tan (10x) – 3 30 1 1 В) sec (10x)--…

A: We use substitution method to solve the Integral.