If the joint pdf of X and Y is 1 fx.y(x, y) 2no? find the mass in the circle, x² + y?

Q: 2. Prove: cot2x - csc²x = -1 %3D

A:

Q: "+y* x cost , Sint i t. T 2) wa + * cos't , ya s+: 2.1/4, +a 3 2.

A:

Q: Find Sta | tan (ay) dy 32.

A: We have to find integral of given function.

Q: S csc? (2y)/(9 + cot²(2y)) dy

A:

Q: Evaluate. (Remember to use absealute valve ashere appropriate. Use C for Constaut of éitegration) dt…

A:

Q: Calculate for w = xyz. By

A:

Q: S.S. X x Arcsin y 4 yª dydx

A: Reverse order

Q: AC) = -t+J At - t) sin rdt %3D OA. -t + OB. .3 -t 12 OC. OD. -t + O E. e -- 6.

A:

Q: Find Dxy. 6) y = tanh² 7x

A:

Q: /ナえ?

A: Given curve y=11+x2  Inflection is a point on a smooth plane curve at which curvature changes its…

Q: メ tan y.dx イ X" dう ニ ○ 2(ty')

A:

Q: T.h.J unitorm (x) is ィマ Conrinu ous [', 00)

A: It is given that ;            fx = 1x2   for  x ∈ [1, ∞) To prove :  f(x)  is uniformly continuous…

Q: 2. OCot2E = csc

A:

Q: then show that dz+z = % dy e te

A: Given:z=ex+yex+eyDifferentiation formula:ddxuv=v.dudx-u.dvdxv2

Q: 13. Compute P5.2² I

A: Formula:

Q: for Exafind

A: Given  y=5cosecx3 and y=3(x2-e6x2) we have to differentiate these functions .

Q: Evaluate dx 1.) J 32x

A: Given integral: ∫dx32x We can write the above integral as ∫9-xdx Let u=-x and differentiate it w.r.t…

Q: find dy/dx in two ways.. a) by differentiating implicitly & b) by explicitly saying solving for y…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Qz: IF U=h cx,g )= Lnce+ ě).show that %3D Sy

A:

Q: Eualuate taken throughout the velune

A:

Q: 32. In the diagram, VW= 3, WX= 4, and VX= 8. Is WX tangent to OV? W b. yes a. no

A: We will use the property that radius is perpendicular to tangent line.