8(x²-a²) = 2a (cos - cos 0') [8(x-a) + 6(x + a)], 8(0 - 0′) sin 0 = 8(0-0') sin 0¹

Q: What is y' of y = sin¹ (cos x)? O A. y' = ATHE sin + 1-cos² 1 O B. y' = 1 OC. y'= sin z 1-cos² z OD.…

A:

Q: Let f(x) = 9 cos(sin(z°)). %3D Then f'(x),

A: Using the chain rule of differentiation,

Q: العنوان solle Le sin²(3x) cos²(sx) dx /1 8 tan'x dx で CIC

A: (1): Step 1:Step 2: Step 3:Step 4: (2): Step 1:Step 2:Step 3:Step 4:

Q: 10. | [3 - e-lxl – cos x + log(x²)]dx = 0 x³ +4x – sin x 11. x² – 7 -dx 3 0

A: 10. ∫a53-e-x-cosx+lnx2dxEliminate absolutes =∫a53-e-x-cosx+lnx2dxApply the Sum Rule:…

Q: Let f(x) = 8 cos x + 5 tan æ f'(x) =-8 sin(z) + cos(z)2 r(#) = 37 Find the exact trig values for…

A: Since, we have been given that f(x)=8 cos (x)+5 tan (x)Also, we have f'(x)=-8 sin (x)+5cos (x)2Our…

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: Dat

A:

Q: find y'. (show all the steps please) cos(xy) = x-y^2

A:

Q: sin (21 + 1) dt J cos² (21 + 1)

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: dt cos (2 sin 21) /1– 4r

A:

Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: Find f. f"(x) = 5 + cos(x), f(0) = -1, f(9π/2) = 0

A:

Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

Q: y''''+8y'''+32y''+64y'+39y=e^(-2x)((4-15x)cos3x-(4+15x)sin3x) Find a particular equation for:

A: The given differential equation is: y''''+8y'''+32y''+64y'+39y=e-2x ((4-15x) cos3x-(4+15x) sin3x)…

Q: 7) {(1- sin° 31)- cos3t dt 8) | t in’ (5x)· sec´ (5x) dx

A: 7) I=∫1-sin2 3t·cos 3t dt  ……1

Q: f(x) = 5 sin²(x) Hint: Use sin2(x) = -(1 – cos(2x))| %3D %3D n = 1 8.

A:

Q: Given f'(x) = 6 cos x - 10 sinx and f(0) = -5, O find f(x) C

A:

Q: A power signal which is periodic with period 2n and is characterized by the form f(x) Expand f(x) in…

A: Given, fx=sinhxcosx, -π≤x≤π Since, f is periodic of period 2π then, fx+2π=fx Then,…

Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

A:

Q: Given f(x)=3x^2 + 4x + 5, determine the roots of the function. Verify them with a graph.

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: 2) Find f' (=), f" (A), f" (E) given f (0) = sin 30 cos 0

A:

Q: 7 (1 + sin² x) = e 2" sin 2.x, y(0) = 1 X 7) dx

A: This equation solve by separation variable

Q: Let f(x) = – 7 cos(cos æ) %3| f'(x) =

A:

Q: Find f'(z) if f(z) = 8 cos(z) + 9 sin(z). Answer

A:

Q: (1 point) Approximate cos(4.6) using a quadratic approximat First note that cos(4.6) cos(3/2). Let…

A:

Q: y=(b+x²)* +(1+x³)*(/3x² +x – c)cos²(4x) y' =?

A:

Q: /2 97. 3 sin x cos x =dx VI + 3 sin²x

A: Integral problem

Q: Find f. f"(x) = cos(x), f(0) = 1, f'(0) = 8, f"(0) = 6 f(x) = sin x + 7x/2 + 7x +8|

A: We will first find the general solution of f"'(x)=cos(x)

Q: solve  sin(x)dy/dx + ycos(x) = cos(x)[ex + sec2(x)].

A: Convert into dy/dx+p(x) y=Q(x)