3- + y cot x = 2 cos x %3D dx

Q: Given f(x,y) = 5x sin(3xy). Find f,(5,3). Give you answer correct to two decimal places

A: Given fx,y=5xsin3xy fx5,3=?

Q: (sin x + cos y) dx dy

A:

Q: dx sin x cos x

A:

Q: dy sin(x) Find for y = dr -3

A:

Q: :? If sin(x +y) = xy, what is the correct expression for dx cos(x+y) - y x- cos(x+ y) A cos(x + y) -…

A: for this problem, we can solve this by using general implicit  differntiation.

Q: 16- J tanx dx cos x CoS

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: bu= 는 Sin hT x dx ans=- xcosuT sin

A: We have to use the UV rule of integration.

Q: cos e de V1 – sin 0

A:

Q: Differentiate the following. Do Not Simplify. y=(sin x)(lnx) b) y = (e² + √√cos x) c) y = = a)…

A: To differentiate the following.a y=sin xln xb y=ex+cos x37c y=1-tan x3x3

Q: J, sin a sin? cos" ,dx COS 2 2 2.

A:

Q: Ty sin (a 0. ² + y°) dædy Find

A:

Q: 7. cos(x + y), when x = 0, y - dx

A:

Q: dy if x= 2 sin t, y = cos 21. Find dx sin 21 A. 2 cost B. - csct C. tan 21 D. -2 sin !

A: If x=f(t)  and y=g(t) , then dydx=dydtdxdt.

Q: CoS X By using the substitution u = sin x, find dx 1+ sin?x

A: Solve the infinite integral buly using substitution method

Q: I+11z|10 dx=? O a. 2lna + arctan(x + 2) – In((x + 2)) + C O b. Inx? + 5arctan(x + 2) – In(1+ (x +…

A: ∫x2+11x+10x3+4x2+5xdx

Q: Given f(x,y) = 4x sin(5xy). Find f,(5,3). Give you answer correct to two decimal places.

A: Given: f(x,y)=4xsin5xy To  find: fx(5,3)

Q: cos" (x)dx COS

A: Integrate by substitution

Q: Find y" given that sin(y) + cos(r) =I %3D

A: We have to find the second derivative

Q: Differentiate.

A: Consider the provided function, y=cosetan3x Differentiate the provided function with respect to x.

Q: cos?x + jsinycosy – sin?x = 0.866 + j0.5

A:

Q: dy 5): sin(x+ y) dx

A:

Q: dx- In x + CO

A: ∫1xdx=ln(x)Add a constant to the solution=ln(x)+C

Q: dx Maybe used: sin(x – y) : 1. JTV#² + x + 1 sin a cos y – cos a sin y

A:

Q: 3 la] Without using the calculator , find the value of X V3 tan X = sin 30° cos 60° + cos 30° sin…

A: Given: √3  tan X = sin 30° cos 60° + cos 30° sin 60°

Q: cos"(siny) dx dy = %3D

A:

Q: find dr/dθ r = (1 + sec θ) sin θ

A: We are given: We need to find derivative or r. Distribute sin function we get: Now we can take…

Q: Differentiate. y = 8x? cos(x) cot(x) y' =

A: Differentiate both sides with respect to x,

Q: Calculate dy/ dx where cot x (a) y = csc a sec x (b) y = COs x + x2 (c) y = tan(4r" + 3r*) (d) y =…

A: *concept:- use chain rule. dy/dx = (dy/dt)*(dt/dx). here, t = 5 + cos x.

Q: olve the following equation using method of undetermined coefficients. y + y"=3x² +4 sin x–2 cosx.

A:

Q: sec¹ (3x) b) ›1$ 3 tan³ (3x) dx

A: I have stated the used formulas in the solution

Q: || dy tan(sin-lx) then find d.x 1. given, y

A: The given function is: y=tansin-1x To differentiate this function, apply the chain rule of the…

Q: If y = sin?t+ tant, x= – In(-cost) – e sinr, find the value of y' when t=- 4 ... 2+ Vze V? ... (B…

A: We have to solve the problem

Q: (b) y when y=3 cos t

A:

Q: π/3 0 sin x dx (1+cosx)?

A:

Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: When x* cos(x?) dx is evaluated using IBP, the value of v du is?

A: Evaluate ∫x3cosx2dx using IBP ( Integration by parts) then ∫vdu is.

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

A:

Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

A: The given function is: y=csc(3x)sin(3x)+cos(x)  =csc2(3x)+cos(x) To find the derivative of it:…

Q: The value of | sin(x + y) dx dy is 0 0

A: To evaluate the below integral. ∫0π/2∫0πsinx+ydx dy

Q: y = cos(x),

A: Given data:     The given function is: y=cos(x).       (a) The cosine function is an even function…

Q: The value of sin(x + y) dx dy is 0 0

A:

Q: 0. sin*(x) dx = R, 3 -Tt, what is 8. Given that sin (0) de?

A:

Q: 5. y = cos" (cot (esc V?)| - 3x)' tan x (1 6. y = 5x2 - Vcsc x 7. 2x sin y = (2x + 3y)°

A:

Q: Given f(x,y) = 3x sin(3xy). Find f,(3,4). Give you answer correct to two decimal places.

A:

Q: Evaluate the integrals

A: Evaluate the integrals

Q: Let f (t) = et sin 5t

A:

Q: fip when r = 0, if given y = tan (sinh z). Find dr

A:

Q: y = - In cos x y = e*tan x

A: We have to find derivative

Q: Sin? x cost x dX X COS X d

A: Given the integralI=∫sin2xcos2xdx