Describe the method used to integrate sin ³x. Choose the correct answer below. O A. Rewrite sin ³x as (1- - cos²x) sinx, then use a half-angle formula to rewrite the cos²x term. B. Rewrite sin ³x as (1 - cos2x) sinx, then use the substitution u = cos x. 2 C. Rewrite sin ³x as (sin ²x) sin x, then use a half-angle formula to rewrite the sin 2x term. D. Rewrite sin ³x as tan ³x cos ³x, then use the substitution u = cos x. 3. 3. 3

Q: Hello,  Could I please get help with this discrete maths question.  I'VE ATTACHED A PICTURE OF THE…

A: Your solution is correct.

Q: Find the general solution of the given differential equation. 6  dy dx + 42y = 7 1.Give the largest…

A: Solution is given below:

Q: A tank contains 100 L of water. A solution with salt concentration of 0.4 kg/L is added at a rate of…

A:

Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

A:

Q: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: 3. The volume of a right circular cylinder with base radius r and height h is given by V = πr²h Find…

A:

Q: Find an equation of the tangent line to the curve at the following point: y = (1-3x)¹0, (0, 1)

A:

Q: 22. lim (x, y)→(0,0) 1 - cos (xy) xy

A: See this solution in below.

Q: Find the average value of f over the given rectangle f(x, y) = 2x²y, R has vertices (-3,0), (-3, 3),…

A:

Q: 1 X √√√1-x² dy dx 0

A:

Q: 6x g(x) = -5x8 + (a) | 19 (1) a (b) 1 g(a) (c) g(√a)

A: Given query is to perform indicated function operations.

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 64°C, it…

A:

Q: 22) The given equ" of the circle (x+12) ² + (y + 5) ² = 169 Here centre of the circle ins (-12,-5)…

A: The following is the digital format of the given text.

Q: Problem 2 Given the following differential equation: (y³+kxy4 - 2x)dx + (3xy² + 20x²y³-ky)dy a)…

A:

Q: Differentiate y = ex+2 +9.

A: Given function is y=ex+2+9 We need to find the first derivative of the given function.

Q: answer

A:

Q: Find and classify (as a relative maximum, etc) all critical points of j(x, y) = 2x³ + 3xy + 2y³.

A:

Q: Given f(x, y) = 7x³ cos (yº), find fzy (I, y) = fyy (I, y) =

A: Given that fx,y=7x8cosy6To find :fxyx,y, fyyx,ySolution…

Q: Question 6 Determine the derivative of - sec z cosz-sin r sec" tan z sec² z 1-sin z sec² z O cos²x -…

A: Take y= Sin(x)/Sec(x)

Q: Find an equation for the tangent plane to the surface 6 z + 2 = xy cos(z) at the point (2, 1, 0).…

A:

Q: Find the tangent plane to the equation z = - 2x² + y² + 4y at the point (4, 4, 0). 2=

A:

Q: 28. (2A + B²)4

A:

Q: 3. Use the variation of parameters method to find the general solution of the following Des 2ex ex +…

A:

Q: dv 22² = 3/ dt v-1 32 a) Write the given first-order LDE in standard form. b) Solve for the general…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Consider f(x) = 5x + 4 and g(x) = x² + 4x − 21. • You must combine all like terms before you submit…

A: Since, you have posted multiple questions, as per guidelines we"ll solve only first three parts. If…

Q: 1. Exponential growth and decay can be expressed as A(t) = Apekt, where A(t) = the amount at time t…

A: if  k>0   ,  Exponential growth k,0   , Exponential decay

Q: Find the inverse transform of the given function of s. 3 √ 55/2 F(s) = A B There is no correct…

A: We have to find the inverse transform of  Fs = 34πs52.

Q: (c) d (100K+200) ((-1)u) p (p)

A:

Q: At what point on the y-axis will the normal line at x = 1 of the function f(x)=√x intersect?

A:

Q: The peak of Azmar's epic rainstorm of 2011 occurred between 4 pm, Jul 10, and 4 am, Jul 11. During…

A: Given: The rate of rainfall modeled by equation r(t)=240e2t360+e2t32 in inches per hour, where t=0…

Q: b. If the surface area of the rectangular box is 24 square feet, find dy when x = dx 2 feet and y =…

A:

Q: Find the minimum of ƒ(x, y, z) = x² + y² + z² subject to the two constraints x + y + z = 1 and 2x +…

A: Given :- fx,y,z=x2+y2+z2Subject to constraints x+y+z=12x+3y+4z=8

Q: An operator found a 1.3 meters-tall dead man at the bottom of an inverted conical tank that has…

A: The height of the dead man is 1.3 meters, so, if the man died due to drowning then, the water level…

Q: Find the absolute maximum and absolute minimum values of the function f(t) = √t · (3 – t) on the…

A:

Q: r(t) = Make a plot that verifies your result. = St²+2t2 if t≤ -3 {at + b if t> -3 Find a and b such…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Complete the description of the plecewise function graphed below. ● ***** ( f(0) = { { O AF Question…

A:

Q: Solve the inequality. State the solution in interval notation: x ≤ < 1 - 2x x-2

A:

Q: 3. fxe (4-x²) dx

A: ∫ xe4-x2dx

Q: Application of Derivatives (Tangent Line, Normal Line, Rate of Change)

A:

Q: Find the derivative of the functions f(c)=xsinh-1 8/3 √9+x²

A: see below the answer and calculation

Q: 15. Find the area inside the circle r sin and outside the cardioid r = 1- cos 0.

A: Since, you have asked multiple question, as per company guidelines I will solve the first question.…

Q: In Exercises 13-16, find and sketch the level curves f(x, y) = c on the same set of coordinate axes…

A:

Q: Find the centroid of the region lying underneath the graph of the function f(x) = e over the…

A:

Q: Find the inverse transform of the given function of s. = 6s - 49 s²-85+41

A:

Q: Given that f(x) = x¹²h(x) h(-1) = 2 h'(-1)=5

A:

Q: If the point P is on the graph of a function f, find the corresponding point on the graph of the…

A:

Q: If a and h are real numbers, find the following values for the given function. The function is…

A:

Q: 4 Recall that the volume of a sphere is given by V = The radius of a spherical balloon is increasing…

A:

Q: Find the equation of the plane tangent to the surface G(x,y,z)=2x^2+y^2+3z^2=25 at P=(−3,−2,1).

A: Topic = Derivative

Q: State the equation of the rational functions whose graph is below. y 5+ 4+ 5432 3+ 2+

A: NOTE: Refresh your page if you can't see any equations. . as we can see  from the graph, the…