Using the substitution x = 2 cos 0, what is the value of f, V4-x2dx. (b) *1+2vx dx using u = 1+2Vx (e) S2 cot x dx using the substitution u = Vx 16

Q: The appropriate change of variables for the dx is Vx²+2x+10 O x=10 sinØ O x+1=3 sinØ O x-1=2 tanØ O…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: using the substitution u = cos(x). cos (x) sin(x) dx = +C

A: We have to find the integral ∫cos5(x)sin(x)dx

Q: Given f(x,y,z) = cos(4xy) + sin(4z). Find f,(8,9,0). Leave your answer correct to two decimal…

A:

Q: Homogeneous Find C, if y f(cos 2n) = tan 45° 3(3x + y?)dx-2xydy 0

A:

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t)

A:

Q: Find d(tan x)>dx.

A: dtanxdx

Q: The approximation of I = S, cos x? dx using composite Simpson's rule with n 3 is: -1.5412 O This…

A: Formula :     The formula for composite simpson's rule is     ∫abf(x) dx ≈∆x3 [fx0 +4 fx1+2fx2+4…

Q: 7 Cos X dx e 4 Using the Midpoint Rule, M(50) =| |: %3D

A:

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t) f (t) = v1+ sin t + (8t)15 + t² cos 3t %3D

A:

Q: Using Variation of Parameters 4y''+4=cos-1x

A:

Q: 4 .Using n=8 approximate the value of cos(1+Vx )dx using 0. (a) the Midpoint Rule, (b) the Trapezoid…

A: Formula used: Midpoint rule- The interval [a,b] into n subintervals of equal width,…

Q: y = sin x, y = cos.x , x= 0 , x=- is revolved about the x-axis T/2

A:

Q: Q: IF the value of (t) change from sin(“,) to cos( ",5. Find the dF for dx f(x, t) = V1+t³ Sa f(x,t)…

A: To find dFdx, whereF=∫αxβxfx,tdt, and fx,t=1+t3

Q: given sin -In\x+ y + 19| Ax, y) = V18 – (x + 11)² – (y + 10)² sketch domain p(-11+ v7, - 10) is…

A:

Q: y = Vx³ + 3 dy Find dx dy dx Type sin(x) for sin(x), cos(x) for cos(x), and so on. Use x^2 to square…

A: ddxx3+3Apply chain rule:=12x3+3ddxx3+3=12x3+3· 3x2Simplify:=3x22x3+3

Q: Using the substitution u = cos(2x), S sin (2x) cos (2x) dx %3D

A: The given integral is ∫sin52xcos32xdx.

Q: Q;: Find for the following functions: - dx xcos (x³+1) 2- y = Tx cos" (x³+1)

A:

Q: The equation of motion of a body performing damped force vibration, Is given by t 5dx +6x = Cos t,…

A: Given DE is d2xdt2+5 dxdt+6x=cost also given conditions are x(0)=0.1 and x'0=0 solve the equation

Q: a. The velocity of a car in meters per seconds travelled from its origin is given by v(t) = In (t2 +…

A:

Q: 9. Using n= 8 approximate the value of cos(1+Vx )dx using (a) the Midpoint Rule, (b) the Trapezoid…

A:

Q: Consider (D² +1)y = sin²x_ Using variation of parameters, what is the form of y ,? А y =f cos x + g…

A: As per guideline we have to solve one question Please repost other question again

Q: x = a(0 – sin 0), y = a(1 – cos 0). %3D %3D urve followed by the particle as a function of 0.

A: The given parametric equations are, x=a(θ-sinθ)...............(1) y=a(1-cosθ) .............(2)

Q: Using modified Euler's Method to Find y (0.2) to the function 5x+cos(y) f (x, y) where h=0.1, y (0)…

A: We need to solve the given function using modified Euler's method. We need to find y(0.2) given that…

Q: Find the value of dʻy/dx at the point defined by the given value of t. x = 5 sin t, y = 5 cos t, t=…

A:

Q: 1 Find 는 dx by using chain rule, if f = u + u = T x , at x = = 4 cos?u

A:

Q: dy of the following. dx A. Find cot (1-x)+tan(1-х) sin? 4x 2. у %3 sec(1-x) 1+2 cos 4x+cos² 4x 3. y…

A:

Q: The value of f(z) = e² at z = 3 + 4i in terms of x + iy is O a. 1 O b. e cos 4+ie sin 4 O c. e*…

A: Given, We have to find the value of  fz = ez  at  z = 3+4i  in terms of  x+iy  .

Q: 4. Find dx a y=e, giving your answer as a function of y. b. y In(xvx -1), x>1 sinx-cosx C. y= giving…

A:

Q: 31. f(x, y) = e cos y a. (0, 0), b. (0, п/2) %3D at

A: We know that linearization of f(x,y) at (a,b) is

Q: Given f(x,y,z) = cos(4xy) + sin(2z). Find fy(1,2,0). Leave your answer correct to two decimal…

A:

Q: r(t) = (4 sint- 4t cos t,4 cos t+ 4t sin t), for 0sts, 2

A:

Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

A:

Q: = cx + In(cos x). For what value of c is f'(T/4) = 7? C =

A:

Q: f(t) = e3t + cos 6t – e3t cos 6t ; L{f(t)} =? %3D -

A: given ft=e3t+cos6t-e3tcos6t

Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find fy(5,5,0). Leave your answer correct to two decimal %3D…

A: Partial derivatives

Q: 3) by using a

A: sin(12π13)=f(a)+f'(a)*h=cWe need to break it in Taylors series:f(x±h)=f(x)±hf'(x)±h22f''(x)±...

Q: +3x2, (V)² = sin³(cos³(*3**» dy b. Find dx %3D

A:

Q: x dx V21-(x+3)² 1. Complete the square to get S and then use the substitution x + 3 = /21 sin u so…

A: we have the integral ∫xdx21-x+32 substituting the value x+3=21sin u we get   ∫21sinu.21cos…

Q: x dx 1. Complete the square to get J 21-(x+3)² and then use the substitution x + 3 = V21 sin u so…

A: The given integral is: ∫x dx21-x+32 To evaluate this integral, substitute  x+3=21sinu…

Q: 5 dx Find dx, x> V25x2 -9 1 + C Vi+9x? * 3x /1+9x2 V25x2 -9 + C 5x 3 - InV1+9x2 +3x| +c sin 13x+c 3.…

A:

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x = 9 sin t, y = 9 cos t, t…

A: x = 9 sin t    ,    y = 9 cos t   ,    t = 3π4 To Find  d2ydx2

Q: f(x) = cos 4x Σ f(x) n=0 W?

A:

Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

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

Q: sinx b) Find dx if m t2 + 5 dt + cscx + y = x cosx 10 b) Find for sin?x + cos?y = dt xtany t+2 dx

A: b) we know that  ddx∫f(x)g(x)H(t)dt=[H(g(x)g'(x))-H(f(x)f'(x))] we have ∫xsin(x)t2+1dt…

Q: dy when (cos x) = (sin y)* dx A Find %3D

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you…

Q: (f) If w=4x² +4y² +z² ,x= p sinø cos0, y= psinøsin0 , z =pcosø, Əw find and ap

A:

Q: به)ک ن ان -)f Ssin*(x)cos°(x)dx du )کی + 207 - )J No appropriate Match au)قی - 207 - ه-)J du )کی +…

A: Find the integral match of the integral sin5xcos5x.

Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)-pi/6. decimal…

A: differential equation