6-prove that the Sum of oots of th equation 2X+3X+5=0is=3 the multiple is I

Q: Find the sum from n=1 to infinity (sin(6/n)-sin(6/n+1))

A:

Q: Solve the equation lsin xl = 1/2 on the interval [0, 2π).

A:

Q: 8. State all co-terminal angles for 0 for-2n S0S 4n.

A: Remind that co-terminal angles are angles in standard position (that means the angles with the…

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

A: Explained below

Q: 2 2 In sin 2x - 2 In (1 + cos 2x) = In ( )- %3D

A: Given that: The identity is 2 ln sin 2x - 2 ln ( 1 + cos 2x) = 2 ln tan x .

Q: Compute Lim メーフ4 7x+5 -3 Sin ? X 2)x-70 3X イメ2+2 3) -00 X-7-00 2x-1

A: (1)Consider the given function with limit:

Q: 6sin2(x) - cos(x) - 5 = 0 for all solutions 0 ≤ x < 2π x = ???

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

Q: tan 361° – tan 31° 1+ tan 361° tan 31° Find the exact value of V3 O- V3 O. 3. O-V3 V3 01 О-1

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. ( ex +…

A: Definition used -      Solution of equation by converting it to quadratic equation -       First we…

Q: Solve 4sin(2x) - 2cos(x) = 0 for all solutions 0 ≤ x < 2π x =

A: 4sin2x - 2cosx = 0 , 0 ≤ x &lt; 2π

Q: 1. Determine one real root of the equatione O using Fixed Point Iteration with ao O until %ER < 20%

A: Given equation is   e-x-x=0 with x0=0 Also, given that ER≤20% Rewrite the equation  e-x-x=0⇒x=e-x In…

Q: 1 Evaluate sin (7/6 + 2e de. 2ei de. 2n Jo

A:

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

A:

Q: Find all solutions in the interval 0° ≤ θ < 360° where θ1 < θ2 < θ3 < θ4 < θ5 < θ6. sin (30− 45°) =…

A: We need to find all solutions in the interval 0°≤θ≤360° for the given trigonometric equation.…

Q: ind the solution in the interval from 0 ≤ θ < 2π 4cos2 x - 4sinx - 5 = 0

A:

Q: 1 1. Prove the identity cosh2 r = 1 cosh 2x 2

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

Q: Solve 2cos (x)- sin(x)=2 exactly for all x in the interval [0,27).

A: 2cos2x-sinx=2⇒21-sin2x-sinx=2…

Q: Find a general solution of each reducible second-order differ- ential equation 43. ху" 3 у'

A: Given,

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: tan (58°) 1.40 m (1.4 m)(tan58°) = x (1.4 m)(tan58°) %3D х%3D (1.4)(1.6) II

A: Given that   Based on the provided information

Q: 3) Solve 1−sin2(A)+1 = 2cos(A) over [0,2π)

A:

Q: 1) Solve 3tan(x)=√3 over the interval [0,2π)  2) Solve 2cos(x)=2 over the interval (−∞,∞) 3) Solve…

A: 1. 3tan(x) = 3 tan(x) =13 So, x = π6or x = 7π6   2. 2cos(x) = 2 cos(x) = 1 x = 2nπ, where n = 0, 1,…

Q: 6. From Descantes rule of signs, condude that the equation roots. x2n-1=0 has 2n-2 imaginany

A: x2n - 1=0 So, total number of roots are 2n.

Q: Find sin 8. 4/5 4|5 m15

A: Take point in parametric form and compare with given point then solve

Q: 18. Solve 2 tan r-1 0 over [0, 27).

A: Unlike the sine and cosine functions, the tangent function is π periodic. That is, if the point (x,…

Q: 2.2 Find all values of x in the interval 0<x< 2n for which -< sin x < 2

A: Given that -12&lt;sin x&lt;12.…

Q: 2π tane 13-12cose de

A: We will find thw integral.

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…

Q: A and B are working seperately can do a piece of work in 9 and 12 days respectively.if they work for…

A:

Q: Given 0≤θ<2π , solve 4 tan ⁡θ−4=0 .

A: By using trigonometric equation formula, we solve the given trigonometric equation.

Q: Solve the following equation ; 2 tanh- 2x – In(æ – 2) – In(æ).

A: 1. tanh-1(x)=121+x1-x where -1&lt;x&lt;12. ln(x)+ln(y)=ln(xy) where x,y&gt;03. ln(x)-ln(y)=ln(xy)…

Q: Show that n. In(cos 2k+2) = - In (2"+ sin 2n+2). k=0 Hint: sin 20 = 2 sin 0 cos 0.

A:

Q: dN + N = Ntet+2 dt

A: we have to solve first order of differential equation given below

Q: Show every step you used to get the answer

A:

Q: Compute sin(sin( 3337 7 * ). -67 -57 7 -4T 7 -37 7 -27 O O O C

A: Computing the value

Q: 7) 2tan² 0 = 1 + 2tan 0 + 3tan² 0 8) 1= tan² 0 + sec 0

A:

Q: Find all solutions of the equation in interval [0,2pi). 6sin^2(x) = 6+3cos(x)

A:

Q: Find all solutions to 2sin(θ)=√32sin(θ)=radical 3 on the interval 0≤θ<2π?

A:

Q: 1+x Show that coth-1x = ; In () 2 x-1

A: We have to prove the given expression.

Q: 7. Solve 2sin2(0)-sin(0) – 1 = 0 on the interval 0<0 < 27. (5 marks)

A: Given equation is : 2sin2θ-sinθ-1=0 on the interval 0 ≤ θ ≤ 2π We have to find θ.

Q: 6. Find all the solutions to 3 tan2x - 1 = 0 in the interval [0,27t)

A:

Q: neN JS E (4i +1) = 2n2 + 3n +1 n(n +1) . neN JI

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. ( ex +…

A: Express irrational solutions in exact form and as a decimal rounded to three decimal places. (ex+…

Q: 1. Find one real root of h (x) = 3x² – 2æ3 on the interval from -1.5 to 2. = 0.5 with an error less…

A: It is given that hx =3x2 -2x3 =0.5⇒hx =3x2 -2x3 - 0.5 initial point:- x0=-1.5, x1=2 Error &lt; 5%

Q: Solve the equation In(x – 11) – In(x – 6) = In(x + 1). %3D

A: Here have to solve the given equation,  ln(x-11)-ln(x-6)=ln(x+1)

Q: Prove cos 4x = 8 cos4 x - 8 cos2 x +1.

A: In trigonometric ratio,cos2θ=2cos2θ-1

Q: cos( 2 tan1 (x/ 4)) = Select one: O 2x ( 16 - x2 )0.5 / ( 2x2 - 16 ) O 2x ( 16 - x2 )0.5/ ( 16 - 2x2…

A: Solution:-.

Q: Find the root (7 – 7i)/2 O +7/2[cos(x/4) – isin(x/4)] O +V98[cos(r/8) – isin(x/8)] O +7/2[cos(x/8) +…

A:

Q: Prove that

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. ( ex +…

A: If a quadratic equation is ax2+bx+c=0, then the quadratic formula is: x=-b±b2-4ac2a The property of…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.