Calculus Answers

Evaluate the following limits.

1. limX→+∞ 5X+6

2. limX→−∞ e4X+7

3.limX→−∞(0.2)X

R is bounded by the x axis, the y axis, and the line x =3 - y

1. Find the specific function values f(x, y) = x^2 + xy^3

(a) f(2, 3) (b) f(−3, −2)

.Find the minimum value of with the constraints `xy+yz+zx=3

.Find the minimum value of with the constraints `xy+yz+zx=3

Please help me with this question. Consider the surfaces in R^3 defined by the equations f(x,y)= 2 sqrt(x^2 + y^2) and g(x,y)= 1 + x^2 + y^2. (a) what shapes are described by f,g and their intersection?. (b) Give a parametric equation describing the intersection

Evaluate ∫c 𝐹. 𝑑𝑟,where 𝐹 = 𝑋^2 − 𝑌^2𝑖 + 𝑥𝑦𝑗 and curve 𝐶 is the arc of the curve 𝑦 = 𝑋^3 from (0,0) to (2,8).

Differentiate y= In ( 2cot²x )

Differentiate y= In ( 2cot²x )

y=(x-1)√x²-2x+2