Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) = sin(6t + 5) 5- sin( 5) + 6- cos(5) 2 + 36 L{f(t)}

Q: If f(x) = 6 sin x + 9 cos a, then f'(x) =

A:

Q: 15.H. Use the inequality Įsin (æ)| < \a} to show that the sine function is continuous at x = 0. Use…

A:

Q: If f(x)= cos (x)+3x , what is f'(x) ? COS O f'(x)=-sin (x) +3

A: First option is correct. Explanation is given below....

Q: a2f дхду' a2f 2. (a) If f (x, y) = x tany + ye-2*, find and What do you notice? дхду (b) If f(x, y)…

A:

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 1/4 3/8

A: We have given  ∫x sinx cosx =fx sin2x-gx cos2x+C Let,  I=∫x sinx cosx dx I=∫x sin2x2dx I=12∫x sin2x…

Q: 1 f(x)= sinx+cos 2x, 0<x< - which of the following statement best describe the function

A:

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4

A:

Q: Use the Fundamental Theorem of Calculus to find (2 + cos x) dx.

A:

Q: sin z Q1-Solve by hospital rule lim -cos I

A:

Q: (sin(t) + cos(t))² – (sin(t) – cos(t))? -- - Simplify to a single trig function 2 sin(2t)sec(t)

A:

Q: What is the frequency of the function f(z)? f (1) =-2 sin () +3 Express the answer in fraction form.

A: Given,  fx = -2sinx4+3  We have to find the frequency of the function fx.

Q: Find the local maxima and minima of the function sin(x) f(x) 3+4 sin (x) 2 on the interval [0, 27].

A: Given,           f(x) = sin(x)3 + 4sin2(x)  and interval =0, 2π

Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

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

Q: Consider a function f(x) where f" (x) = 2ª (ln 2)² + sin(-. -). 2 a) Find / f"(x) dæ. b) Assume that…

A:

Q: Evaluate f(x)= sin(x²), and tell whether its antiderivative F is increasing or decreasing at the…

A:

Q: All asymptotes to the tangent function occur when: O a) cos x = 0 b) sin x = 0 c) cos x = 1 d) sin x…

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: f Co3 n = and sin nLO, findi sin Can)

A:

Q: [3] Let f(x) = –x³. find p2, P3, and p4. Cos x and po = -1, pi = 0. Use the Secant method to

A:

Q: Use the symmetry of the graphs of the sine and cosine functions as an aid in evaluating each…

A:

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A) 3/8 B…

A:

Q: If f(x) = 2 sin x + 12 cos x, then f'(x) = f'(3) = %3D

A: Given functionf(x)=2sinx+12cosx thendifferentiate with respective…

Q: Consider the function Vx² sin? COS X - X f(x) = Vx-1 sin ++1 Determine f'(0.25) using 3 point…

A: In this question, we need to determine f'(0.25)  using 3 point central difference with h=0.01.…

Q: f(x) = cos(x) + 3 sin(x) + x² Find the roots using secant using initial guess -0.1Y and 0 with an…

A: Let f(x)=x2+cos(x)+3sin(x)1st iteration :x0=-2 and x1=-1f(x0)=f(-2)=0.856 ,…

Q: d 75. Proof of (cos x) = - sin x Use the definition of the dx derivative and the trigonometric…

A:

Q: Let a > 1 be a constant and y = (9e- sin z 3) In(x+a). Find y'(0).

A: Product rule of differentiation:…

Q: B. Compute the limits of the following trigonometric functions. sin 1.) lim x+2 2.) lim X-0 Cosx x-0

A:

Q: The derivative with respect to x * 2cos? (x2 + 2) is A. 2sin (x2 + 2) cos (x2 + 2) B. -2sin (x2 + 2)…

A: We will solve the problem.

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? (A) 3/8 B)…

A: We have to find out value

Q: 133. a. Show that So f(x)dx = fo f(a – x)dx. b. Use part (a) to evaluate a/2 sin x -dx. sin x + cos…

A: ∫0a f(x) dx = ∫0a f(a-x) dx ∫0π/2 sin xsin x + cos x dx

Q: sin z coS I Q1-Solve by hospital rule lim

A: Given problem is :

Q: If f(x) = sin?x, then f"(x) = %3D A 2cos2x B cos2x -sin2x D -4sin2x

A: Given, f(x) = sin2x For the given function , applying chain rule ,  First differentiate it as { xn ,…

Q: 1 The function (x) = x sin x satisfies the following equation: f"(x) + (x) + t cosx = 0. The value…

A: Introduction :

Q: If f(x) = sin(cos(2x)), then find f' O-1 O -2 O 1 ||

A:

Q: Find (f −1)'(a). f(x) = 4x3 + 5 sin x + 2 cos x,    a = 2   (f −1)'(a) =

A: Consider the function f(x) =4x3+5sinx+2cosx.Compute the derivative of the given function as follows

Q: 6. If f(x,y, z) = x³y³ sin (z²)+z³ cos (x³), find an expression for fryz and evaluate it at the…

A: Given f(x,y,z)=x3y3sinz2+z3cosx3 To find: fxyz fxyz at (1,1,π)

Q: Z is a complex variable z=x+iy  question attached as photo

A: Consider the closed integral

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4…

A:

Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: If f (x) = - sin(x), then f (11) (x) is equal to A - sin(x) B - cos(x) sin(x) D cos(x)

A: Differentiate 11 times

Q: e* (1 + sin x de. nx] Evaluate 1 + cos x

A: I am attaching image so that you understand each and every step.

Q: The function f(x) = sin(kx) contains the point A(, -1). The function is: Oa) f(x) = sin(-x) Ob)…

A:

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A 1/2 B…

A:

Q: If f(x) = 6 sin x + 12 cos x, then f'(x) = f'(4) = %3D

A:

Q: Consider the following function. dx x2 - 5 (a) Determine an appropriate trigonometric substitution.…

A:

Q: Consider fx sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? O 1/4 1 O…

A:

Q: 9- x2 Consider using Trigonometric Substitution what is dx ? x2 3 sec e tan e de 3 sec e de 3 sec2 e…

A:

Q: 4) Differentiate the function, and simplify the result. w(x) = sin /2r + 1

A: w(x) = sin √(2x+1)

Q: The domain of the function f(x)=sinh-1(Inx)

A: To find the domain of the function