= 2 Elm TC sin(t) t= 1 cos(t) X

Q: x= 4 sin t - 4, y = 4 cos t -3 Eliminate the parameter t

A: we can eliminate 't' . sin2 t + cos2t =1

Q: 7 cos?(x) sin(2x) dx

A:

Q: 3 4) Find / sin (2x) cos (2x)dx

A:

Q: 7 sin°(e) cos"(t) dt

A: To evaluate the given definite integral

Q: Solve sin(x) +7 sin(x) cos(2x) = 0 for x E (0, 5). Give your answer in radians correct to 3 decimal…

A: The given equation is sin(x)+7sin(x) cos(2x)=0 and the range for x is (0, π/2).

Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

A:

Q: Find the steady-state motion of the mass-spring system modeled by the ODE when t = 10 to three…

A:

Q: Solve d'y dx² cot x dy - sin² sin²x.y - dx = cos x - cos³ 3 OHS X.

A:

Q: If rcos(x)sin(y)=a, rcos(x)cos(y)=b and rsin(x)=c, find r.

A: Formula used is written in the bracket of the first photo.

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

A: Using trigonometric formulas

Q: Determine exact solutions for the equation 2sin2x-3sinx + 1 = 0 in the interval x e [T, 3n].

A:

Q: (e) sin(2x) sin(x) dx.

A: ∫sin2xsinxdx

Q: a cos(x²)esin(z²) da -ут 10. TT

A: To find the integral.

Q: 1ó+gosinx+X cosX + loX

A:

Q: sin(t)-cos(t)=cot(t)

A: Given problem is sin(t)-cos(t)=cot(t)

Q: cos(t) = cos(t+2pi)?

A:

Q: 1. f cos³ (tan x) sec² x dx

A:

Q: | cos (nt)sin(at) dt Find

A: This integral can be solved by the method of substitution.

Q: derive 8t sin t (d) s %3D cos t t5

A:

Q: sin x = x (1 + tan y). Find and provide solution for dx/dy

A:

Q: 7/2 SAT sin" x cos3 x dx

A:

Q: 大 1-cos X P-V= 2

A:

Q: Find cos(u+v) sinu= -4/5 with 3pi/2 <u<2pi and cosv= -5/13 with pi/2 <v<pi

A: u is in the fourth quadrant. There cos will be positive.

Q: Solve (cos x cos y- cot x) dx-sin x sin y dy = 0 %3D

A: