Let f (x) da = f°, f(2) da + f§ f (x) dx – [_ f(2) dz. |- a) Find a. b) Find b.

Q: a) Consider the function f (x, y) VIn (4 – x² – y²). Find the domain - and range of f(x, y).

A: Solution is given below..

Q: (d) | (V- 5)° – 2)° dx

A: Given integral:

Q: Given a function f(x,y,z) = 2x2 In (6y + 3z). Find the range of the function.

A:

Q: For the given functions f and g, find the indicated composition f(x) = 14x2 - 10x, (f°g) (9) g(x) =…

A:

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A: The given function is fx=2x3-15x2+36x-27. The main objective is to find the intervals where the…

Q: P= (3,2,;?)

A:

Q: Show that f dx = xV-1 + C

A: If ∫f(x)dx=F(x)+C, then it can be written that f(x)=ddxF(x). Here, f(x) is the derivative of F(x)…

Q: a) Determine the domain and range of the function: 1 f(x, y) Va² + y² – 1 b) Sketch the domain.

A:

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

A:

Q: Describe the (1) domain, (2) range, and (3) y-intercept of y = Va – 4 + 6 2) 3) 1)

A: We can find the domain, range, y-intercept as below.

Q: a) Find fxVx + 2 dx b) Find fevx dx c) Find x3 In x dx

A:

Q: For a function f(x), f"(a) = 0 and f"(a) = 0. What could be true of the point (a, fla))? Explain.…

A: Given f'a=0and f''a=0

Q: Find fxx, fyy, fyx, and fxy for the functions: f(x, y) = x2 tan-12

A: This question is based on Partial differentiation.

Q: Calculate the point where the functions h(x)=3−3⋅x2 and w(x)=3⋅x+4 intercept. A.) Give its…

A: Topic:- algebra

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

Q: Зx+2 2. Perform the indicated function evaluations for f (x) = 2x+3 a) f(-4) b) fE) c) o) f(-) e) f…

A:

Q: For F = xy+xy+1 0, calculate: dy_ dx ây

A: Given,          F=x2y+xy+1=0

Q: Find the x-value at which the given function has a point of inflection. v = =x- 5x²+24x +2 a) x= b)…

A: Point of inflection is a point on a curve at which the curvature changes sign. Second derivative of…

Q: 3. Sketch these functions and find their domain and range. a) f(x) = √√3x b) y = x³

A:

Q: ゾ-2ゾ+ソ=x°e IT 3.

A: Explanation of the solution is given below...

Q: 1) Let f(x)= \x+1 and g(x)=x² -4. a) Evaluate (f +g)(3). b) Determine |(x) and the domain of c)…

A: Dear,as per company guidelines we can answer only 3 sub-parts at a time, kindly post other sub-parts…

Q: f(x,y) = 5 + Vx – y² +4

A: To determine theb domain and range of the following function.fx, y=5+x-y2+4