A) Find and classify the critical points of f(z, y) = x³ + y3 – 6y? – 3.x + 9 using the first and second derivative tests.

Q: (a) Suppose f:R³ → R² is a function for which and Could f be linear? Why or why not? (b) . that…

A: Part (a):   A function f: R3 to R2 is linear:   By the definition of linear function maps zero…

Q: If g(a)= b and f(b) = c, then explain how to find (f og) (a)

A: Given g(a)= b ......(1) f(b) = c .....(2)

Q: How can you apply the chain rule in calculus 3 with multivariable calculus

A:

Q: A fixed point of a function f is a number c in its domain that satisfies f(c).  In other words, the…

A: Given: A fixed point of a function f is a number c in its domain that satisfies f(c).

Q: One version of the Fundamental Theorem of Calculus can be stated as: q [F(a)adua f(a)da = F(q) -…

A:

Q: Which function has a domain consisting of real numbers? O a) ♬(x)=x²-25 Ob) √(x) = ² + 25 O c)…

A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: True or false: If f(x) = 12 for all real numbers , then f"(x) = 0 for all real numbers .

A: The question is asking whether the second derivative of a constant function is zero for all real…

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A:

Q: Linear combinations and products of measurable functions are measurable functions

A: Given: Statement: "Linear combinations and products of measurable functions are measurable…

Q: you were asked to find critical points. What makes something a critical point within the study of…

A: The points at which the first derivative of the given function vanishes are called the critical…

Q: (x+1)(x-2)². On what interval (2) (x - 5) let g"(x) = is g Concave up? (Note: you are given g" but…

A: g''x=x+1x-22x-5

Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…