Ssin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) , sin(2x) + + C 12 8 8. 4 sin(6x) sin(2 x), sin(2x)cos(2x) + C 4 -- 24 8 8 sin(6x) sin(2x), sin(2x)cos(4x) 24 8 8 - C 4 O sin(3x)cos(3x) sin(2x) cos(2x) -1)+ 12 8

Q: tan (x) cos (x) 1 tan (x) +tan°(x) + C tan'(x)7tan?(x) +9]+ C 36 O 1 1 tan (x)-tan'(x) + C O…

A:

Q: If ở x w = i- j+ k, and v · w = 4, and 0 is the angle between v and w, then (a) tan 0 (b) ө

A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: If f'(x)>0 for every x on some interval I , then f(x) is increasing function . If f'(x)<0 for…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: 1 Sxsec - Svdu- Using Integration By Parts, >x tan x- u v- Find UV-

A:

Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A: We have to evaluate the function.

Q: Consider the function below defined on the indicted interval. f(x)= -(10x+x^2), [-10,0] Find the…

A:

Q: (V9- x2 dx using Trigonometric Substitution what is dx ? x2 Consider 3 cos e de 3 sec e tan 0 de 3…

A:

Q: 9-x2 dx. - х x2

A:

Q: 30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

A:

Q: Sx³ Vx? +4 Svdu- Using Integration By Parts, dx = uv-

A:

Q: evaluate intelga)

A: Consider the integral  ∫1x3dx

Q: ind the points of inflection of the graph of the function. (Order your answers from smallest to…

A: Here, the given function is: f(x)=x(x-4)3 So,…

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: cos 2 dx O 32 -cos -5cos2 ()+7] + c 35 32 35 - cos(4)- 32 -cos) +c O 32 COS +C 스4

A: We have to find integral

Q: The line through (- 10,7,10) perpendicular to the plane 9x + 2y + 6z =5 Choose the correct answer…

A: Given query is to find the equation of the line.

Q: Fird the area bounded by the curve: a) y=x° and y=2x43 a)Curve accurotely drown with important…

A:

Q: Consider the following function. f(x) = x – log, x (a) Find the critical numbers of f. (Enter your…

A: The given function is: f(x)=x-log4x       =x-ln xln 4

Q: Find the area bounded by the curve y = 4x - x² and y = 3. Answer:

A:

Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

A:

Q: USING A- V2P de, FIND THE AREA OF ONE PETAL OF THE ROSE DEFINED BY THE EQUATION 3cin(2B)

A:

Q: .4 x²+4x-5 Consider dx using Trigonometric Substitution find X- 1. x+2 -2 +3 sec 0 3 sec e -2 + sec…

A:

Q: 11. y= 4sech? 2x +4csch? 2x y= tan (sinhx)+ sec (cosh x) e* sinh x+e' cosh y = e' tanha 12. 13. y =…

A:

Q: Set up, but do not evaluate, an integral for the surface area of the surface generated when the…

A: writing given function as x in terms of y

Q: The issue of convergence or divergence of some series can be answered by several different…

A: NOTE:- AS PER BARTLEBY GUIDELINES, WE WILL ANSWER ONLY FIRST THREE PART OF THE QUESTIONS.

Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a.yp…

A:

Q: 2x3 – x² + x + 2 -dx = A + dx find A+B+ C+D- X+1 Consider x4 + x3 2 O 5 O 4 3

A:

Q: 2x+ 11 3 3 1 dx - X +3 Consider Idx - evaluate dx = x2 + x- 6 X- 2 X-2 x+3 x+3 In +C (x- 2)3 X-2 In…

A:

Q: Finding a Derivative In Exercises 31-44, find the derivative of the function. sin x 36. у %3D

A:

Q: 2x4 + 3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)? C(2x- 4) +D E(2x…

A:

Q: dx If x2 – 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

A:

Q: (1) 8 6 2 "2 -2 -4 Increasing: Decreasing: Constant: 4.

A:

Q: | 2x+11 dx = Consider 1 dx evaluate 3. x² + x - 6 dx- X+3 X- 2 X+3 X-2 x-2 In + C X+3 |(x-2)3 In + C…

A:

Q: Evaluate the line integral, where Cis the given curve. (x + 6y) dx + x² dy y (6, 1) C (7, 0)

A:

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y - 8x + 16 =…

A:

Q: T = i+ R+1 +1 1 N = i+

A: answer is in next step

Q: dæ 2 (x² + 1)²

A:

Q: A/ Certain values of x and log1o x are (300, 2.4771), (304, 2.4829), (305, 2.4843) and (307,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2 (3 — х2) dx

A:

Q: 0. f"(x) = 12x; f(1) = 2 and f'(1) = -2 3. ((a)

A: Given query is to find the function.

Q: Find the two x-intercepts of the function f and show that f'(x) =0 at some point between the two…

A:

Q: * Example: Find a harmonic Conjugate fer U= = X_ x+y2

A:

Q: Find the integral. 21) + e3t) dt

A:

Q: 2x+11 3 1 dx . evaluate Consider 3 dx = x2 + x- 6 1 dx : x+3 - X- 2 x+3 x- 2 X-2 In |x+3 +C x+3 In…

A:

Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: Find:  ∫sin(3x) cos(6x) dx.

A: cos(2u) =2cos2u -1

Q: In each of the problems, solve the given differential equation. 3. xy` = (1 - y2)1/2

A:

Q: и + Use the ratio test to determine whether > converges or diverges. п! n=12 (a) Find the ratio of…

A: Here, the given series is: ∑n=12∞n+5n! Let, an=n+5n!; n≥12

Q: In7 Change the Cartesian integral dx dy into an equivalent polar integral. Then evaluate the polar…

A: Put x=rcosthetha and y=rsinthetha

Q: X+ 6 2) lim х-6 (х-6)2

A: limx→6 x+6(x-6)2=6+6(6-6)2=120