Identify the order and degree of the following equations. Order dy = cos X 1. dx

Q: Evaluate ∫y0ksin(kx−π)dx where y and k are independent of x, and y is given by the solution to the…

A: Given:

Q: c) dx E (sin cos) dt

A: We find ddx ∫xπ/2   sint2   cost3 dt

Q: 2T 26. cos e de

A:

Q: find the value of the constants a, b S"L cos(x + 2y + 3z)dzdydx = TT a

A: Triple integral

Q: ANSWER iv dx ANSWER S sin(ax) cos(ax) dx

A:

Q: Find d2y/dx2 for the following functions: b) y = cos*(sec? 3x) 4 = COS

A: We are given : y=cos4(sec23x) ⇒dydx=4cos3(sec23x).(-sinsec23x).2sec(3x)sec 3x.tan…

Q: Find of the following functions. dx (a) y = sec(6a?) (b)y = sinbx+ cos5x (c) y = cot-'(v6 – x²)

A:

Q: Evaluate : L[t cos h 6t]

A: To evaluate: Lt cosh 6t

Q: -/- I = х cos bx dx, for b > 0

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 4. Find d?y/dx² for the following functions: b) y = cos*(sec² 3x)

A:

Q: 12. cos Vx dx

A: According to the bartleby guidelines I have to solve only first one in order to get the solution of…

Q: j) S (2 cos a – e) dx

A:

Q: d²y c. Find dx? if y= sin’0 , x= cos’e

A: We have y=sin3θ    and x=cos2θ We need to find d2ydx2 Now,  dydθ=3 sin2θ ddθsinθ=3 sin2θ cosθ dxdθ=2…

Q: d. 3) [cos πx]4 %3D dx

A: 3) To find the derivative

Q: Separate the variables and evaluate the DE: cosx/dx + 1/ydy = 0

A:

Q: TT b) F /1- 1 – cos (2x) dx 2

A: Topic-Integration

Q: e Cos 3I dɔX

A:

Q: Determine whether the equation is exact. If it is exact, find the solution. (e'siny + 3y)dx -…

A:

Q: The value C in y = sin (Bx +C) is called the _________.

A: The given equation is y=sinBx+C

Q: Determine whether the equation is exact. If it is exact, find the solution. (e*siny + 4y)dx - (4x -…

A:

Q: For x=cos(3t), y=cos(6t), 0<t<n find and simplify dy dy COS and dx

A: Given: x = cos(3t),    y = cos(6t)     0&lt;t&lt;pi     To find:

Q: d 27. dx ], cos t dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dx I cos (x)

A:

Q: dy ,2,,2 1. х + 3y = x?y? dx

A:

Q: dy cos?x = -(tan x)y ;y(0) = -1 b) Solve %3D dx

A: Given that: dydx-cos2x=-(tanx)y; y(0)=-1

Q: Differentiate: y = cos(5 e* ) e11 COS

A: Ans is. option a)

Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: Match the equation with its graph. r(t) = cos(at)i + sin(xt)j + t?k, -1 <t< 1 %3D y 4 y 2.

A: The solution of the problem is given in the next step.

Q: Q1: find dx of the following statement: a) y = cos? sec

A:

Q: cos(y) e(s) (s)

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points…

Q: Evaluate the equation below rsin 0 r3 cos 0 dr d0 0.

A:

Q: dy If = cos 2x, then what is y? dx

A: We will solve the problem

Q: t cos 412 dt

A: We have to solve this integration.  I am using substitution method.

Q: (xy + 1)dx + x(x + 4y – 2)dy = 0 %3D

A: Given (xy+1)dx+x(x+4y-2)dy=0 Let the integrating factor be xαyβ Multiply both sides by xαyβ , we get…

Q: (бх + у?)dx + (2ху — Зу?)dy %3D 0 уз 3.

A:

Q: Solve the equation: dy dx - (cot x) · y = (cosec x) y

A:

Q: Determine if the following equation is exact and if so solve it: (3x? + 5y)dx + (5x + cos y) dy = 0.

A:

Q: Find dy/dx in the following: -1 2. Y= cos cot x

A: The given function is: y=cos-1cotx           From the property of inverse trigonometric function, we…

Q: b) y = cos Vx

A:

Q: t sin(t) + 6 cos(t) t7

A: This question is based on properties of exponents.

Q: Solve the following D. E y' + y tan x Cos X ニ

A:

Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: The velocity of a body at time t is given as: vt=9π2cos3π2t On integrating v(t) with respect to t we…

Q: ANSWER iv dx ANSWER Jsin(ax) cos(ax) dx

A:

Q: Evaluate: Jx?cos(2x)dx

A:

Q: Evaluate dy/dx for each of the following equations. a) y=tan-1(x/2) b) y=sec2(x) c) sinx-cosy-2=0…

A:

Q: y = e* cos x²

A:

Q: d (e*co cos x) dx

A: We have to find  d/dx(ex cosx)  We know that  d/dx(pq) = p'q + pq'  Here ,  p = ex , q = cosx  Then…

Q: f(t) = – 29 cos (t) + 78 %3D Find the average temperature from month 2 to month 6

A:

Q: (b) If y = sin (m sinh¯x), find the value of (yn)o ·

A: Hi, you may find the answer in the form of hand-written note.