For the function f(x,y,z)= In (3x +2y +9z), find fx, fy, and f₂.

Q: 1. Given the points A(2 -1, 1), B(2, 3, 0) and C(4, 3, -4), find the vector, parametric and…

A:

Q: 1. у ул y=3x - x² 0 y=x (2, 2) AX

A:

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A:

Q: In x (1+In x)² 1. S = dx

A: In this question , we will integrate .

Q: Suppose 3x² + 4x + xy = 3 and y(3) = = y'(3) = -12. Find:

A:

Q: Evaluate the double integral 11₁₂²² x² dA, where D = {(x, y) : 1 ≤ x ≤e,0 ≤ y ≤ lnx}.

A:

Q: For the function y = 3x², find the average rate of change of f (x) on the interval [1,4]. 20 15 O 5…

A:

Q: The matrix on the right results after performing a single row operation on the matrix on the left.…

A: In the given matrices R2 and R3 are same. We have to perform row operation to change row R1 only.

Q: 19. 20. The interval where the curve y = a) x < 0 b) never The lim √x² − 1 = - x-1+ a) √16 b) -4 ex…

A:

Q: Let g(x,y)= ln x + 2 ln y-x-8y Find the critical points. Then determine if the critical points are…

A:

Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 z+5 3 and L₂: *5 =…

A:

Q: 1. Differentiate. a) f(x) = x43x b) g(x) = x² — e√x -

A: We need to perform differentiation.

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

A: To find the volume  of the solid S generated by given R: R is the region bounded by  and  and it is…

Q: 6. Determine values for a, b, and c such that the function f(x) = x³ + ax² + bx+c has a y-intercept…

A:

Q: 3. Find the general solution of the second-order differ- ential equation d'y dy +2- + 2y = 0 dx² dx

A:

Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

A:

Q: Determine whether W is a subspace of the vector space V. (Select all that apply.) W = {f: f(0) =…

A: Given that ;W = {f: f(0) = −1}, V = C[−1, 1] Let f, g W f(0) = -1 and g(0) = -1 Now, considering (f…

Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero…

A:

Q: Evaluate the integral by reversing the order of integration: 3x² dxdy

A:

Q: State the domain for the function f(x) = log6(-x + 5) + 4: O (-00, 5) (-5,00) O (-∞0,00) O (-00,-5)

A: f(x)=log6(-x+5)+4Find the domain.

Q: According to the properties of logarithms log(8) = 3log(2) O True False

A:

Q: During the month of January, "ABC Appliances" sold 49 microwaves, 16 refrigerators and 27 stoves,…

A: Given:We are required to find:

Q: x²-49 X-7x²-7x 2. Evaluate lim

A: To evaluate the following limit.Note: Since the student has posted multiple questions and does not…

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

A:

Q: 6. The function f(x) is defined by the graph. State the value of each: c) lim f(x) = x →-1 d) f(4) =

A:

Q: Evaluate the double integral J₂62 6xy dA, where D is the triangular region with vertices (0, 0), (1,…

A:

Q: Consider the curve y = x² + 3x +5. Find the slope of the secant line at the point where x = 9. Oh +0…

A:

Q: = Find the maximum and minimum values of the function f(x, y) = x² + y² ≤ 225. The maximum value of…

A:

Q: 1. Complete the following analysis for the function f(x) = = Note that the first and second…

A:

Q: What is the period of the trigonometric equation? f(x) = -11 sin(x + ) − 4 Enter your answer, as a…

A:

Q: Let f(x) = In(x) and g(x) = log3x. For all x>1, f(x) < g(x) O True O False

A:

Q: What is the smallest value of the number n so that the graph of the following function have a…

A: f(x)= (-2x4+1)/(6xn-3x2-1)We have to find smallest value of n for f(x) has horizontal asymptotes

Q: Find the inflection point given the function F(x) = f e-t² dt. No graphs.

A: Given function: To find : Inflection point of F(x)

Q: for what value of the number k does the function f(x)= (1+kx+x^2)e^x have f'(0) =3

A:

Q: Find (3). (If an answer is undefined, enter UNDEFINED.) f(x) = x²-3x - 4 g(x) = x² - 9x + 18 (4)(³)…

A: Given

Q: g(x) = 4x3 - 4x + ) = (4x³. 18/5 x2 4

A:

Q: x²-49 X-7x²-7x 2. Evaluate lim: 3. Evaluate lim √x+1-3 X-8 x-8

A:

Q: A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the…

A:

Q: Find the first partial derivatives of the following function. 8u 5v + 7w F(u,v,w)= F₁ = Fu

A: given

Q: For what value of k the following piecewise defined function will be continuous? [k - 2 cos x, e4x+1…

A:

Q: Suppose f(x) = 5x cos x. Find the equation of the tangent line to f(x) at the point (, -5π). y = |…

A:

Q: 3. √ √x² + 2x dx

A: Given integral

Q: Compute the following integrals. a) ¹₂x²-1]dx

A:

Q: The per capita growth rate of a population of cells varies over the course of a day. Assume that…

A: The per capita growth of a population of cells varies over the course of a day. Assume that time  is…

Q: Find all the second order partial derivatives of g(x,y)=x*y+ sin (y) + 3y cos (x). ởg dx ||

A:

Q: For the functions w = 2x² + 3y², x= cost, and y = sint, express terms of t and differentiating…

A:

Q: Find the derivative of the function. f(s) = (s8 + 1)e¯

A:

Q: f(x)=x-5 1. f(5) = 2. lim (x-5) as x->5 = g(x): X = :: f(x) 3. g(5) = x²-25 x-5 : g(x) 4. lim g(x)…

A:

Q: Q21.44 Identify all unit vectors that have an angle of T/3 with the positive section of the x-axis,…

A: To find unit vectors with specific angles with each of the positive axes, we can use the spherical…

Q: Suppose F(x) = f(x³), G(x) = (ƒ(x)) and: a² = 11, f(a)=2, f'(a)=14, ƒ'(a³) = 8. Find: (a) F'(a) =…

A: given given