Solve 2cos^2(t)+3cos(t)+1 = 0` for all solutions 0 <= t < 2pi'.

Q: ƒ' (4) = If f(x) = 3√√√x(x³ − 2√x + 2), find f'(4).

A: Given that

Q: Let Find A-¹ and use it to solve where where x₁ = -24 and 2 -0 = A = 4 -3 4 4 AX = B B = (²3) X = -…

A: We see,        So, Determinant of A = |A| = 4×4 - (-3)×4                                        = 16…

Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: Solve for a) given y= 2f(x) solve for x b) given y=-3f(2x) solve for x c) given y= f^-1 (4x) solve…

A: Given Functions are as follows

Q: How many solutions does x^2+bx=c have if c< -(b/2)^2?

A:

Q: how

A: Que seems some data missing. Though I have simplified the given expression as much as possible.…

Q: find the demand of dr/dq=2800-45q2-15q2  when q=6

A:

Q: If f(x) = 3/7(2 – 7a + 5), find f'(x). - Find f'(3).

A: Given:- f(x) = 3√x(x3-7√x+5)  To find:- f'(x) and f'(3)

Q: x-26 a = 3 Va

A:

Q: use the Lagrangian method to solve: U=x1^(1/2)x2^(1/2) subject to 50=5x1+10x2

A:

Q: 3cos(2x)=3cos^2(x)-2 for all solutions 0≤x<2π

A:

Q: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

A: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.