Ql-graphthese functions A) [y| = |x| +5 B) |x + y|=2 C) f(x) = {5. 0 < x < 1 1< x< 2 %3D (2 – x D) f(x) = 2 sin(x + 1) – 1

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Q: - 1 X If lim ([sin ¹x] + [2²sin ¹' (2x)] + [3³ sin-¹ (30)] x →0 X X + [x²³sin-¹ (x2x)]) + ... +…

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Q: 1. Use the Intermediate Value Theorem to determine a small interval [a, b) (where b - a < .3) on…

A: To find: A interval a, b for which: x·sin x=1 to have single solution.   where b-a&lt;0.3

Q: 2- Find the positive root of f(x) = xe" - cos(x) with an error tolerance g=0.005% by using %3D a)…

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Q: Let f (θ) = 2 sin 2θ + sin 4θ. (a) Show that θ is a critical point if cos 4θ = −cos 2θ. (b) Show,…

A: “Hey, since there are multiple sub-parts posted, we will answer first 3 sub-parts. If you want any…

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Q: Increasing and decreasing functions Find the intervals onwhich f is increasing and decreasing.

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: If cos-x y, then sin(2y) Is equal to 2r O 2/1- x2 2r VI - x? 2r1 - x? O dt atr = 0 has a The…

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Q: a. Let ƒ(x) be a function satisfying 0 ƒ(x) 0 … x2 for -1 … x … 1.Show that ƒ is differentiable at x…

A: The differentiability of the function can be determined with the help of the left-hand derivative…

Q: 2. f(x) = x²cos 2 x 3. f(x) = tan x – sec x sin x 4. f(x) = 5. f(x) = 2cos (2 + x³) 6. f(x) = x²ln x…

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Q: 1. n! n=0 2. (-1)"x2n (2n)! 3. (-1)"x2n+1 2n + 1 n=0 x2n+1 4. E(-1)"- (2n + 1)! n=0 A. sin(x) B. e*…

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Q: f1(x) = sin(x1) cos(x2), T f2(x, y) = xy, f3(x) = xx¹, € R² x = x, yern XER"

A: Given the following functions                  f1(x)=sin(x1)cos(x2),   x∈ℝ2f2(x, y)=xTy,   x, y∈ℝn…

Q: 2. Let f(x)=3 cos 2x + sin²x. a) b) Show that f'(x) = -5 sin 2x. In the interval <x<³ Find the value…

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Q: ecot x 20. J sin² x(e- cotx) ax is equal to A. ecot x 1 + C ecot x C. -ecot x + C D. –ecot x + C

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Q: Which of the following is true about the graph of f(x)-2 sin3 (x) + 3 sin(x) + 4 on the interval [0,…

A: Definition used:An inflection point is a point on a curve at which the sign of the curvature or…

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A: Given the base of 3-D figure is found by y = sin(x) + 1. The cross sections are vertical and…

Q: A B - f sin(1-x) (2 cos(1-x))4 dx (2-sin(1-x)5+C 5 (2-cos(1-x)5+C 5 O A OB O O D OE None of the…

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Q: 1. Consider the function Y= Sin(5x) on the 0<x< %3D interval a) Determine where the graph of the…

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Q: 3- If a y + sin y + arctan a = sin 1 then what is the value of at (0,1)? dz -2 b)- 1+ cos 1 -1 1 a)…

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Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: X 1) f(x) = x6 + 4x + 2 I NIX - 3) f(x) = ln(x5 - cos²x) 5) f(x)=xsin x + πT x5 -√x - In 3 3 2)…

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Q: (-1)° x*1 (2k –1)! 2k-1 k=0 a) sin x b) cosx c) sin x- x d) cosx-1 e) e* ||

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Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…

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Q: Find a function of the form y = A sin(kx) + C or y = A cos(kx) + C whose graph matches this one: 19…

A: Simple graph of equation problem....

Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

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Q: (sin x ; 0 π/2 y" + 4y = g(x) = and y(0) = 1, y'(0) = 2 Solve the problem on two intervals, and…

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Q: In Exercises 25–30, give a formula for the extended function that iscontinuous at the indicated…

A: The given function is fx=x2-9x+3

Q: If f(x) = x sin x), then f' (x) = V1-x2 (B) sin-1(x) – x sin-2 (x) (C) + sin-1(x) 1-x2 (D) -…

A: Given that         f(x) = x sin-1(x) Here we have to find f'(x).

Q: The limit lim (18 x; - 28 sin (x;)) Ax i=1 on the interval 0, is equal Tt/4 | (9 x² + 28 cos (x)) dx…

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Q: 5. What is the maximum value of the transformed sine function g(x) = -2 sin[3(x + )] – 6? А. —4 В.…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 19 a What is the domain of g (x) = sin-x + sin- V1 - x2? 1 b Show that g'(x) = Vī 2. | c Hence…

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Q: Find a function of the form Y = A sin(kx) or y = A cos(kx) whose graph matches the function shown…

A: Given graph,  To find the form of the equation of the graph.

Q: 35. [T] lim sin2x; ±0.1, +0.01, +0.001, +.0001 *40 X X -0.1 -0.01 -0.001 -0.0001 sin 2x a. b. d. X…

A: The answer is given below:

Q: 9. Find the value of k so that (2y sin x cos x - y+ 2y²e")dx - (x- sin? x+ kxye*)dy = becomes exact.…

A: To find the  value such that given equation is exact  differential equation.

Q: 5. y + 4y= sin x + 3 cos x Ans: y = C₁+C₂ cos 2x + C3 sin 2x + sin x x-co COS X

A: To solve the given differential equation.y'''+4y'=sin x+3 cos x

Q: 2. f(x) = x – x + sin(x) – 1 Solve this question by the Fixed-point method on the topic of solution…

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Q: 25. If f(x) = (cos x)*, then %3D is k-0

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Q: Need help with these

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Q: y for the function f(x)= cos [x*sin (x²+1)] =, CoS 1/2 %3D ..…

A: The given function is fx=cos3x3sin12x2+1. Obtain the derivative as follows.

Q: Find the local maximum and minimum values of the function g (x) =x + 2 sin x   ,  0&lt;= x &lt;= 2…

A: Given that : The function is g (x) = x + 2 sin x , 0 ≤x≤2π .

Q: sin If y = , then justify (1–x² )n. -(2n +1)xy, – n² y,-1 =0 applying Leibnitz's a) theorem.

A: Please check step 2 for the solution.

Q: 9. If f is an always positive, differentiable function and y = In (f (sin x)), what is- dy when x =…

A: Explanation of the answer is as follows

Q: Graph f(x) = -2 sin x, g(x) = sin 2x, h(x) = ( f + g)(x) in the same rectangularcoordinate system…

A: fx=-2sinx,  gx=sin2x  &amp;  hx=f+gx When x=0, f0=-2sin0  &amp;  g0=sin20⇒f0=0  &amp;…

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Q: A violin string produces a vibration u(x,t)=a sin(2t-x/ 137). cos(A-t)+b sin(14t-x / 137). cos(E-t)…

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Q: 2. Prove the reduction formula: (5 pts) n-1 sin x cos n - n-2 | cos" xdx = cos" xdx

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Q: -1 Find y' where y = 22 sin-(cos (9 æ)) – tan (6 æ) Answer: -198 sin(9 x) 1 || V1-cos2 (9 æ) 1+36 x2…

A: To find y'