a. 7x8-3x° C. e. (8y-4y) = (2y -4-y2 Simplify the followin 2x2 +4x- x a.

Q: (a) (b) 3x-5° 2x+19

A:

Q: Direction: Simplify the following expressions. 1. If z = 3+ 9i, determine z5.

A: Given z = 3+9i Then  use the formula, we get (a+b)n = an+C1nan-1b + C2nan-2b2+ ... + Cnnbn

Q: 4|x(х + 3) %3D 3 X° + 3

A:

Q: Multiply the following. (5x° + 8y) (5x³ - 8y) (5x3 + 8y) (5x3 - 8y) = (Simplify your answer.)

A:

Q: Sx dx 3 x2 ४

A:

Q: dx xª +3

A: Consider the given integration

Q: [D³ 6D² + 11 D - 6) y = tanx -

A: Sol:- Original Differential Equation can be re-written as :- y''' -6y'' +11y' -6y=tanxThe general…

Q: Rearrange the equation to isolate

A: here , we have a equation , then we have to re - write the equation for C   equation be    a=b1c-1d…

Q: (x - 3 bxy + 2 b?y?) (xdx + ydy) = xdy-ydx %3D

A:

Q: A C 10x-10 12.x - 4 30° B

A:

Q: A 1 x る8 %3D 은 AB=C Find X+g?

A:

Q: 4 S- dx 2 2 x√4x² - 16

A:

Q: Solve the equation 8sin?xcosx – 2cos?x = 2cosx.from[0,2n].

A: To solve the following trigonometric equation  8sin2x.cosx - 2cos2x = 2cosx

Q: x? + y? – 2x – 8y + 19 = 0

A: x2 + y2 - 2x - 8y +19 = 0 Repositioning x and y accordingly we get x2 - 2x + y2 - 8y +19 = 0…

Q: g(x.y)-xn (x-y), as(-2,3) Pind vg ?

A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

Q: 00 3 .a 3. 8. 16

A: Given integration is ∫0∞x9 e-x4dx

Q: Find mZA. (5x - 1) A D (2y + 1° (4x+17)° B C (3y - 20)

A: We can find the value of angle A as below.

Q: OA has a diameter with endpoints (-5,-4) and (3,-4). Write the equation of OA.

A:

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: dx 4. J、マ-6x+13

A: 4. Given integral:

Q: X=2Seco y = 4 tano find cay dx² 1. when 0-1

A:

Q: 2-VTO 3+VTO Simplify to its principal root.

A:

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

A:

Q: What is the value of sec¹(2)? A B C D 5 T 되어 3 -- 3 3 5T 3

A: Let sec-12=x  then     secx=2 As secant is the reciprocal of the cosine function, i.e.…

Q: Suppose XY is congruent to YZ. If XY is 8x + 8 and YZ = 2x + 18 what is the value of x? If needed,…

A:

Q: which property is illustrated? (3x)y=3(xy)

A: For the given  (3 x) y = 3 (x y) we have different properties of addition, subtraction,…

Q: If -y3 – 4y + a² – 5x: -y? then find at the point (3, –1). %3D

A: In this question we need to find a derivative of the given function at the point (3, -1 )

Q: z -4 + 3i| = 5

A: Given: z-4+3i=5

Q: Which of the following is equivalent to x2- ax - 7 = 0?

A:

Q: (x + 2)³ y = (x² – 4) ||

A: a2-b2 =(a-b)(a+b)

Q: (03 • 20 +D• 2) y =0

A:

Q: (15x - 8) 226

A: Given,

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.