Question 25 of 34 Evaluate f (x²-16)² dx +3 O A)I DON'T KNOW B) NONE OF THESE OC) (x-16)-6 arcsec(x/3)*(3\(x²-16))/x² +C O D) (x2-16)+6 arcsec(x/3)+(8 (x^2-16))x² +C Previous

Q: Determine a two term expansion for the large roots of x = tan x and rtan x = 1.

A: "According to the guidelines we will solve first question. Kindly repost second question…

Q: 1 -sin(2x)% = (D²-1 -1 sin(2x) 125 O ibs

A:

Q: One, Two, Three (a) Show that tan(tan-1 1 + tan-1 2 + tan-1 3) = 0. (b) Conclude from part (a) that…

A: a). tantan-11+tan-12+tan-13=tantan-11+21-1·2+tan-13…

Q: 1/1+cos x + 1/1-cos x=2csc^2 x

A: Please refer the attached image for complete solution.

Q: The largest value of the non-negative integer a for which lim x →1 - ax + sin(x - 1) + a x + sin(x −…

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Q: 2. 1.5 sin(3t-

A:

Q: find maclurin formula in the fourth degree for f(x)=secx

A: To write the maclurin formula in the fourth degree

Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin (-)= %3D b. tan-(-V3) =…

A: As per bartleby guidelines we are allowed to answer only one question at a time.So kindly repost…

Q: tan( 2 tan''( x/ 13)) = Select one: O 2x ( 169 - x² )ª./( 2x² - 169 ) O 26 x/( 169 - x* ) O 2x ( 169…

A: Given tan(2tan-1(x13)We know that 2tan-1(x)=tan-1(2x1-x2)and here x=x13⇒tan(tan-1(2x131-(x13)2)

Q: We use the BISECTION METHOD to find the root of this nonlinear functional e = sin(x) +x². x' In(x)…

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Q: 5) 3tan-1x + sin-x = 4

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Q: tan x ....+ C sec x Select one: 3(sec5/3x) 3 5 sec x 3(sec5/3x) 3 V sec x 2(sec1:5x) +2y sec x 3 O…

A: Use substitution method to solve this

Q: Chapter 6, Section 6.3, Question 012 Use the Fundamental Theorem to evaluate the definite integral…

A: Given,

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: 12) Solve: (tan x) tan x = 0 X = 0 (2cosx+1) = 0 2 cos x + 1 = 0 2cos x = -1 m<x = 0% cos x = - m <…

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Q: 1. In section 5.8, we saw that f du = tan-u+ C. Use a u-substitution, then this formula, to u?-…

A: topic - indefinite integral

Q: 2 sin 2x - 1 de hift -2AT Chift

A: The standard form of the trigonometric function ,y=asinbx-c+d. The given function is y=2sin2x-1.…

Q: Which cosine function has maximum of 2, a minimum of -2, and a period of 277 3 Oy= 3 cos 20 20 Oy=2…

A: Given: The maximum value of cosine function is 2 and minimum value is -2 and the period is 2π3, To…

Q: 3. (6れ)-) ANCTAN X (x+1) ² -y=ARCTAN

A: To expand the given function :

Q: 6) 1-cosx %3D 1+cosx (cotx - cscx)2

A:

Q: 1 1 Prove -2 secx tan x 1+ sin x 1- sin x

A:

Q: tan(6 x) sec²(6 x) d x. Compute 9

A: Topic : integration

Q: 6. 1 %3D 2tanx secx - tanx secx + tanx

A:

Q: 7/4 (sec² x – sin x)dx

A: 1. ∫sec2x dx=tanx 2. ∫sinx dx=-cosx 3.∫(u±v)dx=∫u dx±∫v dx 4. ∫abf(x) dx=F(b)-F(a), where ∫f(x)…

Q: Example 2.22. Use the method of false position, to find the fourth root of 32 correct to three…

A:

Q: 10. Integrate the function. 8 ip- 1+ 641 2 sin" 8 2 2 tan- 8 2 tan" 8

A: We have find the integral.

Q: 1 sin(2.x): sin(2x) -125 %3D (D²-1)' true false

A:

Q: 1+cos4x 1. 1-cos4x -csc2xdx

A:

Q: dN + N = Ntet+2 dt

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

Q: Establish the identity.

A:

Q: 1 3n sin 3x + 3. |-23 8.

A:

Q: 11) Verify the identity: sec 2x-1 sec' x-1= sec 2x +1

A: We start with the right side

Q: 5. 4 f sin + 2zdz

A:

Q: prove tan^4x=cos4x-4cos2x+3/cos4x+4cos2x+3

A: Basic trigonometry proof

Q: Q1-6 * 2 points 1 -sin(2x): - sin(2x) -125 (D²-1)'

A: Given, 1D2-13sin2x=x-125sin2x To find:  To check whether L.H.S = R.H.S. or not

Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0, ) Hint: you may want to differentiate these…

A: We can prove these by two ways . First is by using derivatives of functions. And second by using…

Q: solve using L'Hopitals Rule 5. Lim    (1-cos4x) / xsinx   x->0

A: Given limx→01-cos4xxsinx

Q: sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4…

A: Solve the following

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

A: We have to prove the given expression.

Q: A func tion f is given. sin 4x f(x) = 2.x Is f even, odd, or neither?

A: We have to find type of function if fx=sin4x2x We know that  if we replace x with -x and after…

Q: 6) FIND THE INVERSE USING GAUSS-JORDAN REDUCTION METHOD (NOT-SINE) www. 2 0 3 0 2 0 - 4 A = 1 1 3 0…

A: The given matrix is               A=203020-411-11-302-28 To find: the inverse of A.

Q: #9. In exact form

A:

Q: Chapter 6, Section 6.3, Question 009 Use the Fundamental Theorem to evaluate the definite integral…

A: Consider the given integral.

Q: 1. f(x) = cos 2x - Show the solution of the derivative using F'el trigonometric identity that it…

A:

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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Q: Prove that : 1. Sinhx= In(x+x² +1)

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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: 5) 3tan-1x + sin-1x = 4

A:

Q: Prove that X -sin 8 2 X sin sin x 8 2 2. 2.

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.