er the questions below: I z²,e²,4x³z + ye² COS Z > done by F in moving a particle along the cur π Ả (t) = (à log3 (2t² + 1), et, - (1 - 2

Q: 2. Which of the following functions is of exponential order? * 4 f(t)= Sin 4t f(t)= 5{VT + A.) O B.)…

A: The function of exponential order is determined as shown below.

Q: Use double- and half-angle formulas to find the exact value of the expression sin 22.5°.

A: Given: sin 22.5° To find: The exact value by using double and half-angle formula.

Q: ... Q2: Solve the following differential equations: {[1+ y*] sin(xy) + xycos(xy)}dx + {[1+x*]…

A: Given problem is :

Q: Which of the following functions is of exponential order?

A:

Q: QUESTION 4 x' = 12 t2 x, x(0) = 3 Solve the above IVP and then find x(0.5). Put x(0.5) accurately…

A:

Q: QUESTION 4 Solve the following integral by using substitution method. S(6- sin3x)' cos 3x dx.

A:

Q: I. Find dy/dx of the following: 1. y= In 2x 2. y (In x) 3. y= In(tan x)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let y= x +2X. Find dy when x = 3 and dx = 0.1. A 0.8 B) 6 0.1 D 8

A:

Q: Given the following integral I(n) = (1-2)"dx. We want to ultimately show that 22n+1 (n!)2 I(n) =…

A: 1. Evaluating I(n) for:1.1. I(1)= ∫−11​(1−x2)1dx1.2.∫−11​(2−x2)2dx 2. Show I(n) can be expressed as…

Q: A. Find the differential dz for the following function z = 6x³ + y² - Vxy B. If (x, v) changes from…

A: Here we use the formula for differential dz

Q: Two triangles are____________ if the lengths of two corresponding sides are equal and the angles…

A:

Q: 1. [8e" dt

A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: (1+ etane) sec² e de = e TO FO 2 [0(sin(In 0) + cos(In 0))] = de csc(ln 0)

A: ∵1     ∫0π4(1+etan θ) sec2θ dθ=∫0π4(sec2θ+etan θsec2θ )dθ=∫0π4sec2θ dθ +∫0π4etan θsec2θ dθ∵∫0π4sec2θ…

Q: 1 5. x/4x2 - 1

A:

Q: Choose the correct value of the integral O I. 0 O II. 1/2 O III. 1 O IV. π/2 [* dx fºd 一元 dyo [cos…

A: Given: ∫0πdx ∫-π0dy δcos x δ2x-y Solve the given integral. Dirac delta function properties: δax=1aδx…

Q: Question 23 Evaluate. The differential is exact. (2,2,2) (1, 1, 1) 0 1 07 O 8 5 2z8 3z8 dx - x3x3…

A:

Q: Consider the following VP: u" (1) + Au(t) +p (1)-sin(1) (1) w (0)-1 and u'(0) = -1, where -69 and…

A:

Q: Q1.1 dy Find in each case. Simplify as much as possible. You must show all your work. da a) y = cos²…

A: Useful formula:-          a) Now, assume the whole value in the cube root as f(x)OR you can use the…

Q: (e" + 1)² e "dx + (e + 1)³ edy=0

A: Given differential equation is .We have to solve the differential equation by separation of…

Q: 2. A particle of unit mass moves so that displacement after t seconds is given by x = 2 cos (t - 2).…

A: Given that a particle of unit mass moves so that displacement after t second is given by…

Q: 3.1 A particle has a velocity of =cos ( 21)i +sin( 21)j. 3.1.1 Show that the objects' moves with a…

A: Given the velocity of the particle

Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5)– jsin(5)] T = VM² – 1 200,000,000ejo.241 H %3D…

A:

Q: Calculate L{e-# cos(2t – r)}

A: We have to calculate : Le-2tcos(2t-π) First we will calculate , Lcos(2t-π)…

Q: r = (2 ln(1 +t))i+ (t²)j+ -tk t=1 2 = (e-t)i+ (2 cos 3t)j+ (2 sin 3t)k t=

A:

Q: Find d dx -(4 ln(x))

A: To find the derivative of given function

Q: Question A9 Evaluate 2 [²√√² (2²y³ + ³y³² In x) dx dy. 0

A: