Math 9-2

A person wishes to create a staircase with an angle of 230°. At what obtuse angle does the staircase make with the floor?

• 110

• 40

• 160

• 50

Find the general solution of y'' + 8y' + 41y = 0?

• y = e^(-5x) (C₁ cos4x + C₂ sin4x)

• y = e^(5x) (C₁ cos4x + C₂ sin4x)

• y = e^(-4x) (C₁ cos5x + C₂ sin5x)

• y = e^(4x) (C₁ cos5x + C₂ sin5x)

Find the general solution of y'' + 10y' + 41y = 0.

• y = e^(-5x) (C₁ cos4x + C₂ sin4x)

• y = e^(5x) (C₁ cos4x + C₂ sin4x)

• y = e^(-4x) (C₁ cos5x + C₂ sin5x)

• y = e^(4x) (C₁ cos5x + C₂ sin5x)

Find the general solution of y' + x/y = 0.

• x² + 2y² = C

• x² + y² = C

• x² -2 y² = C

• x² -2 y² = C

Find the general solution of y'' - 4y' + 10y = sinx.

• y = e^(-2x) Ccos(sqrt of 6)x + 9/97 sinx

• y = e^(2x) Ccos(sqrt of 6)x + 9/97 sinx

• y = e^(-2x) [C₁ cos(sqrt of 6)x + C₂ sin(sqrt of 6)x] + 9/97 sinx + 4/97 cosx

• y = e^(2x) [C₁ cos(sqrt of 6)x + C₂ sin(sqrt of 6)x] + 9/97 sinx + 4/97 cosx

Find the equation of the line that passes through (1, 3) and tangent to the curve y = x + 5 / x - 7.

• 4x + y + 7 = 0

• 24x + y + 7 = 0

• 4x - y + 7 = 0

• 24x - y + 7 = 0

The ceiling in a hallway 10 m wide is in the shape of a semi-ellipse and is 9 m high in the center and 6 m high at the side walls. Find the height of the ceiling 2 m from either wall.

• 11.7 m

• 8.4 m

• 6.4 m

• 17.5 m

If in the Fourier series of a periodic function, the coefficient a₀ = 0 and aₙ = 0, then it must be having ____ symmetry.

• odd

• odd-quarter wave

• even

• either A or B

If the Fourier coefficient bₙ of a periodic function is zero, then it must possess ____ symmetry.

• even

• even quarter-wave

• odd

• either A and B

Find the area of the region between the x-axis and y = (x - 1)³ from x = 0 to x = 2.

• 1/3

• 2/3

• 1/2

• 1/4