2. Evaluate √(√(x² + y²) a JC +y2) dx + 2xydy for C: x = cost, y = sint, 0≤ t ≤n.

Q: 1. The y-intercept of the function y = 3(x + 19)2 – 27 is а. 334 b. -27 С. -8 d. 1056

A: We will find out the required value.

Q: y = √2+7tanz

A: y=2+7tan⁡x

Q: Find f (VF + xJ dx

A:

Q: 2) Differentiate and simplify: f(t) = 2et e2t+ 1

A:

Q: For the function f(x,y) = x³ ²xy, find fx and f.

A: Given function:- fx,y=x3e2xy

Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: Find xy2 √ R x2 1 x²+1 dA, R= [0,2] x [-4,4]

A: First, we need to identify the limits of integration. The rectangle R is defined by the vertices…

Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

A:

Q: The linearization of_z = y√x_atx=16 and y=1 is

A: Linearization is defined as the finding of a linear approximation to a given function at a given…

Q: Find the PMF of Y = 3X − 2 for X ∼ Geo(p). specify thesupport.

A: Step 1: To find the probability mass function (PMF) of Y = 3X - 2 where X∼Geo(p), we need to derive…

Q: y = Arccot x 2 Arccot /x Vx(1+x) А. Arccot x С. x* +x Arccot x Vx(1-x) Arccot x Vx(1+x) В. D. -

A:

Q: Find df (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0} 500 3 X

A: