sin(z² -2z–3) Identify and remove, if possible, discontinuities of f( x) = %3D tan(z² –2z–3)* O discontinuity at x = 3, and a = -1, remove by making f(-1) = f(3) =1 %3D O discontinuity at æ = -1, remove by making f(-1) =1 O discontinuity at æ = -1, can not be removed O discontinuity at x = -1 and x=3, remove by making f(-1) = f(3) = 0

Q: d -1 ) Prove that cos 1(x) : dx V1-1

A:

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

A:

Q: x* + x3 x2 +1 플+미2+11+ tan-1 x*C C In x + 1| + tan-1 x +C 3. 쪽-1n x2 + 11 + tan-1x +C D In Jx2 +1| +…

A:

Q: tan (3r) dr = a tan(3x) – In(v1 + 9x²) +C 3 a tan (3x) + In(v1+9r²) 3. e tan '(3x) In(v1 - 9x² +C a…

A: We know that, from basic integral formula ∫tan-1x=xtan-1x-12log1+x2+C          ⋯⋯1 We have, the…

Q: 23 + 6x² – 32 1. lim 4 x3 + 5x² + 4x bw e 2. lim w>-00 4+ e 3w sin(6t) 3. lim 40 sin(11t)

A: Given that limit problem and we solve use L'hospital rule . If we apply limit and function is 0/0…

Q: 1) Find the value of m that makes m a) f(x) =- continous at x=0 tan x- sin x x>0 b) Show that the…

A:

Q: .The action of a waterwheel can be modeled by the function y = 3 cos (T(x - 3) + 2). Within the…

A: Topic: maximum value of a function

Q: 2. f(x) = -5 cos (x) + 2 3. f(x)= 3 cos 2(x + 1) 4. f(x) = -sin 37 x - 1 PS = DCP= PS= DCP = PS =…

A:

Q: 3 1. Determine the order and the degree: sin x () - e* () = xy dx². a. Order – 2; Degree – 3 b.…

A:

Q: 1 Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

A:

Q: 1. The graphs of f(x)= sin(x) and f(x)=tan(x) have the same А. Amplitude and Period В. Zeros С.…

A:

Q: (x-2) (g-9) 2- 3X+uX- %3D 29-u | Sind general Salantion

A:

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*…

A:

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: The German mathematician Karl Weierstrass (1815-1897) noticed that the substitution t = tan(x/2)…

A:

Q: a) _*? (1-x²)Z x+3 b) S- x2+2x+5 c) Find the value of sin(tan-1- sec-d) dx d) S x² Vx2+1 e) S Vx2+2x…

A:

Q: sin²x dx cos x

A: To decompose the given integral we have to use some basic trigonometric formulas.   We know that,…

Q: Solve the given initial-value problem in which the input function g(x) is discontinuous. [Hint:…

A:

Q: 1 (27 x sin nxdx 27 bE f(x)sin nxdx -sin nx -1. 1-2n cos 2nn COs nx %3D %3D The requirod f 2)

A:

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)…

A:

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

A: Given,

Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. If an answer does not…

A:

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: 1847 In x 5)- b) Show that the ode (x + tan-¹ y)dx + y dy = 0 is exact, then find the general…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other questions as…

Q: -3u Let z=sinh-(y-2x), where x = we and y3= dy3In then is given by ди OA -3u 6we 3u 1- (y-2x)2 В.…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned so…

Q: y2) = Br* -cos x. %3D A. 24x2 B. 24x + sin x+2 Given h(x) = -sec²x, determine the general…

A:

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

A: Let us start solving the problem step by step with given u(x,t).... E=?

Q: 1) 土七 COS ant5 Sinant3 an: 2then fird the m lim 3) D. Ehmit does not exist

A: Given query is to find the limit of the expression.

Q: 3-26 · Evaluate the integral. 3. (x cos 5x dx

A:

Q: 1) Find the function and graph it for a function of the form y = -2 cos br that passes through the…

A: first we will find the value of b by putting given conditions in ques. And then we will plot the…

Q: a) The graph of y = sin (2x + 7) has a phase shift of - b) The graphs of f(x) = secx and g(x) = tan…

A: For the the curve y= asin( bx+c) phase shift =-cband perod  T=2πb As per our  guidelines, we…

Q: 2. A particle moves along the x-axis so that at any time t > 0, its acceldration is a(t) t = 0, the…

A: Given,           at=32cos2t

Q: y" + y' = cos x + 4 e-* 1 y - C, cos x + Cz sin x +(sin x- x)- 4x e y = C, cos x + C2 sin x - x cos…

A:

Q: 10. Does there exist a harmonic function in z| < 1 taking the value 1 everywhere on |2| = 1? Is your…

A:

Q: Find values for the constants a, b, and c that will make ƒ(x) = cos x and g(x) = a + bx + cx2…

A: Consider the following functions: fx=cosxgx=a+bx+cx2 f0=g0cos0=a+b×0+c×021=a+0+0a=1 Hence, the value…

Q: 3. A 2 cm long metal wire with thermal diffusivity ² = 4cm² s¹ is used to conduct heat in a machine…

A:

Q: 8. (D² + 100)y = -300 %3D a. y = C, cos 10x + C2x sin 10x - 3 %3D b. y = C1 cos 10x + C2 sin 10x- 3…

A: Solution: (D2 +100)y =-300 The Auxiliary equation is m2+100 =0 m2 = -100 m= 10i , -10i

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 a 27-periodic solution u(x) of 5u"(x) + 3u(x) = f(x) where f(x) is a 27-periodic function…

A:

Q: 1. Consider the two functions f (x) = cos 4x and g (x) = ) (a) Write down: (i) the minimum value of…

A: Given: fx=cos4x, gx=x2 we know that cos4x∈-1,1∀x∈R so, minimum value of fx is -1 now, we know that…

Q: 1+ x² -L „tanx - for all x €[0,1/2], then f'(x) equals 1+ ex * If f(x) = sec2x A 1+ etanx sec³x B 1+…

A: Given an integral. We need to find f'(x).

Q: -1 -2<x< - 1 0 -1<x<1 1<x<2 nswer: f(x) = a + Tin COS ... COS n=1 sin T²n² O sin () COS

A:

Q: 1. L(e** + e¬* + x²) S-4 s+1 s3 e3 2. L(sin 2x + e²x+3) : 2 + s2+4 s-2 Hint: e2x+3 = (e2x)(e³) %3D…

A:

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;…

Q: 36 - With p0=0.5 and p1=pi/4 starting point f(x)=cosx-x, find its root when n=0 using Secant Method.…

A: Given: To find the root of the following equation using secant method, f(x)=cos(x)-x Initial points:…

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)…

A: