Gine doaye 2) Find the extremé values on the interval. g (0) = sin 0 - cose, [0,2m] (a) 9Ce)-2sind (cossine sint (2 cose 1) 0 Potzz O t -- 2nbc (b) f(x) x - 121nx, [5,40]

Q: COS X sin' n - Show that for n > 2, | sin x dx sin"-2x d.x n Use this to find sin x dx.

A: ∫f(x).g(x) dx = g(x).∫f(x)dx  -  ∫g'(x)∫f(x) dx   where f(x) is second function and g(x) is a first…

Q: Let f(r) = 6.5 sin(x) + 3.8 cos(x). What is the maximum and minimum value of this function? max =…

A: Solved below

Q: f tan x = -5, and cos x > 0, find sec x and cos x 26 26 and cosx = 26 sec x = sec a = 26 and cos x =…

A: Solution-

Q: Determine the open intervals on which the graph is concave upward or concave downward.  y = 9x − 7…

A: A graph is said to be concave up at a point if the tangent line to the graph at that point lies…

Q: cos x a Given that y = show that y' %3| 1 + sin x (1 + sin x)?" b Hence explain why the function 1…

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A: Find inflection of points and concavity.

Q: Q1 Find the absolute and relative errors of w-x-y, where x-cos33 chopping, y-sin33 ) لثلاث مراتب بعد…

A:

Q: ​f(x)= -2 sin 2 x on the interval [−π​,π​] Find where increasing and decreasing on the interva

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A: y=2sinx+2cosx take the first derivative y'=ddx2sinx+2cosx y'=2cosx-2sinx take the second derivative…

Q: x sin if x # 0 Show that the function f(x)= is differentiable at x = 3D0 and f '(0)= 0. if x = 0

A: A  function is  differentiable at  point c if L f'c=R f'cwhere L f'c=limx→c-fx-fcx-c   =left hand…

Q: Q1: Solve Two Only : x sin (x+sinx)" a- limx-0 sin'x b-lim0 X-xcos4x

A: Solve any two

Q: 3. Two students were playing the same game. The difference in points that each scored for the game…

A: The graph is shown below:

Q: 5. cot(2x)[2+csc(3x)] 0 x &R 6. tantx - tan2x=-V3(1+tan4xtan2x) xE[-n,"|

A: We have to find the solution in radian

Q: cos 2x – cos x lim sin?

A: To evaluate: limx→0cos2x-cosxsin2x Solution: We know, cos2x=2cos2x-1  ..(1)sin2x=1-cos2x      ..(2)…

Q: termine the absolute maximum and minimum values of f(x) = cos²x-cosx the interval 0≤x≤ 2π.

A: Given that fx=cos2x-cos x, x ∈0, 2π To determine:  Absolute minimum and maximum. Needed formulae:…

Q: Find the intervals of concavity and the inflection points.  f (x ) = sin x + cos x   ,…

A: Given

Q: Recoll that coie= creeose. F eas x = orecosx. 1/2 x sin

A:

Q: x + y ди show that x 1 +-sin 2u = 0 4 If u = cot - x +

A:

Q: sec" xtan y 4. For the function fS(x)-tanx, show that f*+y)-J69"-tanx tan y 5. For the function…

A: We use basic formula here, sin(x+y) = sinx cosy + cosx siny And Tan(x+y) = Tanx+ Tany/(1-Tanx.Tany)

Q: (-등, 풍) satisfying TT Find all values of 0 in the interval 2 2 2 the equation (1 – tan 0)(1 + tan 0)…

A:

Q: 2 cosecx - cotx (a) If f(x)=: then find 1+ secx

A: According to our company policy we can answer only first question

Q: (arctan o tan)' = 1 – pi k E z°(k +1/2)pi When differentiating on the Real line is this true?

A:

Q: 7 it y= sina 4x- sin" 4x, #ind y' 2 8. it y= cos Gx +sina 8x, #ind y' キind a. Find the Intervals on…

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A:

Q: -2,2] R, then show that the function sin for x 0, f(x) = for x 0, aly continuous.

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: A tangent question Verify by graphing that the graphs of y = sin x and y = x/2 have one point of…

A: The graph of the given function y=sinx and y=x2  for x>0 is shown below: In the above graph, it…

Q: الموضوع. 2/function, f- siniy -cesy bes- fix)= Sintx D Continu as At x= TTandEvenners I continnos At…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: cos(2x)– cosx sin x 4. lim, »o

A:

Q: sin () if x + 0, COS X Let f : R → R be the function given by f(x) if x = 0. -1

A: The function  f:ℝ→ℝ is defined as follows: fx=sin1xcosx  if  x≠0-1                    if  x=0…

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.)  h(x) =…

A: Given that     h(x)= sin2x + cosx     , 0<x<2pi Here we have to find the critical numbers of…

Q: 2· sin(x)? – 3- sin(x)+1=0 in the interval [0,2 n) X=

A: we know that  sin(x)=sin(y)x= nπ+(-1)ny , n∈ℤ

Q: cos ax dx = xe", a 2 0. (or) Evaluate x' +1 cos ax 2: Prove that x +1

A:

Q: cos2x – sin2x cos2x - dr = -F(x)+C. What is Fx)? 19. For cosx – sinx 3 A. (cscr - secr)3 2 2 sinx -…

A:

Q: 8) y = x + cos 2x, 0 <x <n

A: To find the extreme points and inflection points

Q: interval of [0,1].Fig. is shown below y - tan (x) -2 -2 - In v2 sq. units 4 O b

A:

Q: 19-f(t)=t-sin 2t; 20-f(t)=e" cos 2t.

A:

Q: You have been asked to determine whether the function ƒ(x) = 3 + 4 cos x + cos 2x is ever negative.…

A: Consider the provided function,

Q: 3/2 6x sin' - r-sin x) Evaluate: +3x dx. x-sin x

A:

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

A: Topic:- function and application of derivatives

Q: f. – 1 = tan 0 sec 0 over [0, 2n)

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A:

Q: How many periods of the function y = sec x are there between = and 3T -

A: Given: So, from the figure, it can be observed that only one period of y=sec x is there between -π2…

Q: 52. Verify that f(x) sin x is an odd function and u fact to show that '3 sin x dx < 1 -2

A:

Q: The function f(x)=sinx+cosx is an even function

A: Using definition of even function,

Q: 3.Sinx sec a +2 Sinto Sinx(Secxt2)=0 sinx=D0 भा 2TT Seci=-ス 4Sin3x -sinx CoS X → Sinx(Sin?x -=Sin?x.…

A: