If y= sin f dt, then dy is dx 2x sin x sin x 2 VX sinx 2x sinx

Q: find dy/dx.1. y = -10x + 3 cos x            2. y = 3/x + 5 sin x3. y = x2 cos x…

A: Given the functions :- 1.  y = -10x + 3 cos x Differentiating with respect to x dydx =…

Q: find dy/dx. y = cos x/1 + sin x

A:

Q: dy Find dx 2x %3D sin (x + 9y)

A: Given that e2x=sin (x+9y) Chain rule: If a function y=f(x)=g(u) and if u=h(x), then the chain rule…

Q: Find dz/dx and dz/dy for: x² sin (y³) + xe32 – cos(z²) = 3y – 6z + 8

A: Here, the given equation is: x2sin(y3)+xe3z-cos(z2)=3y-6z+8...(1) So, z is a function of x and y

Q: *show work*

A: Find dy/dx.

Q: If sin(x) f(x)= 68+t2 dt Jtan(x) and g(y)= f(x) dx , Then g) is equal to

A:

Q: xdx x²+6x+18 7. f cos(lnx)dx 8. fest sin(at) dt 6. f

A:

Q: If xy+sin y = x², then . dy х — 2у - || dx y + cos x 1. dy 2х — у - dx y + cos x 2. O dy 2х — у ||…

A: Proceed as shown below...

Q: dy + (cos x)y = sin(x²) 1. sin x %3D dx

A:

Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

A:

Q: 11) (3ycos(3x)dx– sin(3x)dy)/ y = 0 12) sin(ß y)dx =-ß cos(B y)dy

A:

Q: A. Find dy dx 9. sin y = In(x + y)

A:

Q: find dy/dx f(x)=x^2 sin(x)

A: We have to find derivative of f(x) where f(x) is given by:

Q: find dy/dt. y = (t-3/4 sin t)4/3

A:

Q: 2. a“y dx2 dy + 42+ 3y = sin(x) + 2 cos(x) dx

A:

Q: (b) If f (x, y) = y sin2x + x°cosy °cosy 3 then verify dxðy dyðx

A:

Q: cosxdx 17. - secx+ tan x [2sin(3x)cos(5x)dx 18. [(sin y +2cos y)'dy 19. 20. ſcot'(2x)dx 21. (sin“…

A: solution is given below

Q: 11. If F(z) = | V1+4t² dt, find F'(x) sin z

A:

Q: If Y= e(sin x) dt apoint X = 2 then dy/dx

A:

Q: Find dy if y=X+Sin xy Find dy if 2x. 3y= 8 2- dx 2

A:

Q: 1 -dt = xy ndif y + J sint+1 secx dx

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: Find dy/dx. Y = cos (cos x). A sin(cos x) sinx sin x cos x sin x B.

A:

Q: dy dx if e*y = sin-1y+ x²y + Find

A: Given exy2=sin-1y+xy2+yπ

Q: dy Find dx if cos(x)cos(y) = sin(x)sin(y) + 3x + 3y – 2. O 1 O -2

A: Given:       cosxcosy=sinxsiny+3x+3y-2       cosxcosy-sinxsiny=3x+3y-2 We know that…

Q: dz Find dy x sin(2y – 5z) =1+y cos(6zx)

A: Given x2sin2y-5z=1+ycos6zx. To find ∂z∂y.

Q: find dy/dx. y = 3/x+ 5 sin x

A: We have to find the derivative.

Q: Show that sin x dx=1-cos t (0<x<t<}r).

A:

Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: (2y cosx + sin* x)dx sin x dy, when x = y = =,y= 1

A: Given - 2ycosx + sin3xdx = sinx dy , when x = π2, y = 1 To find - Solve the following differential…

Q: 2. f" S"(sinx + cosy) dx dy

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find xer2 dy if dx = y sin x 1-

A:

Q: 3 2 Find for y = dt, where x> 9t+2 dx dx

A: The given function is y=∫0x39t+2dt. Let u=9t+2. Then, du=9 dt. The upper limit will be 9x+2 and the…

Q: 1. Find dy if y'=x' + Sin xy

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 1. If y = sin x² x =²), ex find dy dx

A: Given y=sinx2-xex To find dydx

Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

A:

Q: A ) Find ſ cos 5t dt dy B) If y = x² +; , x= 2t -5 then find dt

A:

Q: find dy/dx. g(x) = cos x/sin2 x

A:

Q: ) (2ху — tanу)dx + (x* — хsec*y)dy 3D 0

A: Given: (2xy-tany)dx+(x2-xsec2y)dy=0

Q: find dy/dx. ƒ(x) = x3 sin x cos x

A:

Q: Solve the Linear DE dy/dx = 1+ 3y tan x

A: I have stated the used formulas in the solution.

Q: Q3: Find if: dx 2x dt sinx dt (1) y = (2) y = [ %3D t- 2 X cosx

A:

Q: find dy/dx. y = (sin x + cos x) sec x

A:

Q: find dy/dx 19) y=Sin" (5x' ) 24) y= Sin 2x.Cos2x 42) y = sinh (tan x)

A: These problems can be solved by the application of Chain rule.

Q: Find dy/dx. y = x' sec (-). A 1 sin 3x cos + x sin2 5x (e) B) x sec 5x sec C) x sec sec D x sin 5x…

A:

Q: Find the particular solution if dy/dt=sin(t) and y(2)=2.

A: Topic:- application of integration

Q: dy x(2lnx+1) dx sin y + y cos y

A:

Q: 25. (2y cosx + sint x)dx sin x dy , when x =y = 1 %3D %3D

A:

Q: dx o ex+x е. f. S sin(vE) dt S dx 2x cos(vE) dt COS g. dx 'x

A:

Q: dy dt 1 Find dx if 2y°t + t°y = 4 and d.x Cos t

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.