Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 3x² + 6x + 4y + 2y²: Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4). X= y= 2=

Q: Find the derivate of the functions: 2) F(x) = 5x²₂² f'(x) = f(x) = x²(x³²-₂) f'(x) =

A: Since, the student has mentioned to solve multiple questions with multiple sub-parts. But according…

Q: 3. Find the slope of the tangent line of the following curves at 0= 1/3 r = 2 cos Ⓒ

A: We can solve this as follows:

Q: There are two types of license plates. One of them consists of 2 upper case letters followed by 4…

A: We have to slove above question

Q: e + Ax = A= + cx Solve for y:

A:

Q: Find the points on the cone ² = x² + y² that are closest to the point (5,4,0)

A:

Q: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks,…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

A:

Q: Suppose a product's profit function is given by π(q) 3q² + 800q, where (q) is in dollars and q is…

A:

Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: You are given the graph of the derivative function, f'(x) shown below. G f'(x) pl B HA F C D E A. H…

A: The graph is given

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f, g, and g'…

A: Derivative

Q: The graph of y=f(x) has f(5) = 1, f(x) has f(5) = 1, f'(5) = -1, and f(5) = -1-

A:

Q: Solve the differential equation. 2xy + 4x + (x² - 4) dy = 0 dx

A:

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A:

Q: Fri Mar 24 webwork.utrgv.edu Below is the graph of the derivative ƒ'(x) of a function defined on the…

A:

Q: b) lim x² +8x+16 X-1 x²-16

A:

Q: 3. Evaluate the limit, if it exists: lim a. 0 b. 7 x² + x + 1 x+2 X²-2 c. 3.5 d. does not ex

A: H=limx→2x2+x+1x2-2

Q: cos x ln(sin x)dx

A:

Q: the

A:

Q: The data in the table concerns the lactonization of hydroxyvaleric acid at 25°C. They give the…

A:

Q: ← Give integers p and q such that Nul A is a subspace of RP and Col A is a subspace of Rª. A = 1 245…

A:

Q: Let f(x) = (3x - x²) if 0 ≤ x ≤ 3 and f(x) = 0 if x 3. (a) For what value of k is f a probability…

A:

Q: Evaluate the iterated integral **²y³ dady.

A: K=∫04∫016x2y3dxdywe know ∫xndx=xn+1n+1+c

Q: A movie theater has a seating capacity of 335. The theater charges $5.00 for children, $7.00 for…

A:

Q: A 200-foot cable weighing 5 pounds per foot is hanging from a winch 200 feet above ground level.…

A:

Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x² + y² + 2² = 6 and 1x² +…

A: Solution below

Q: 6.2 Warm Up After Day 1 Calculus AB Sketch the region created by f(x)=-x² + 4x-5 and g(x)=-5. 1)…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

A: To find derivatives

Q: Find a plane through the points (-2,6,6), (4,4,5), (2,-4,1) Calculator

A: Given :The points (-2,6,6), (4,4,5),(2,-4,1)

Q: Assume that it costs a company approximately C(x) = 800,000 + 360x + 0.0005x2 dollars to manufacture…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: X x+3 3x-1 Evaluate the limit, if it exists: lim a. 0 b. undefined C. co|w d. 1

A: Given : limx→3  x3x-1 To find: The value of given limit

Q: Find the general solution for the differential equation. dy dx + 2xy = 11x

A: Given,            The differential equation is dydx+2xy=11x.To find : Find the general solution for…

Q: 43. y = (2+x)√2+(2-x)², [0,2]

A: Given function:- y=2+x2+2-x2

Q: A spherical balloon is being inflated in such a way that the radius of the balloon is increasing at…

A:

Q: Let f(x) = x² - 5x - 6. Find the open intervals on which f is concave up (down). Then determine the…

A:

Q: JS₂² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

A:

Q: Skecth the graph find the area of the region a. r=a, a>0 b. r = 2+cos 8

A:

Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: ts) Let f(x) = 1. f'(x)= 2. f'(4)= 5x² tan(r) sec(x) Find the following:

A:

Q: Find the length of the curve y=ln(1-x^2) for 0≤x≤1/8

A:

Q: What is the minimum value of f(x) = x^2 - 8 ln x   on the interval [1,5]

A: To determine the minimum value of fx=x2-8 lnx on the interval 1, 5.

Q: 15

A: Given: The instantaneous rate of change is determined by finding the difference quotient over a very…

Q: use differentials to approximate the vaule of sqrt(25.1)  A. 5.0300 B. 5.0200 C. 5.0100 D.…

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: 1. Simplify the expression, that is, rewrite the following expressions as algebraic expressions of…

A: (a)  J=sec(arctan(x3))lrt tan-1(x3)=ytan(y)=x3we know 1+tan2x=sec2x

Q: 3 Functions fand g are defined by f(x)= XER and |x| |x|+3x 2 g(x)= respectively. (a) Express…

A:

Q: 5. Find the points on the graph of f(x) = x³ - 3x where the tangent line has slope 0.

A:

Q: Use the function below to answer the questions. f(x) = 5x¹/5 - x (a) Find f'(x) = 1 X = 4 x 1 (b)…

A: Given: The function is f(x)=5x15-x   (a). Find the derivative of the given function.…

Q: Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a…

A: Given that:- The function is continuous with domain all real numbers

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: Given: I=∫1121∫y11ydxdy It means that the region bounded by the curves x=y, x=y11 from 0 to 121 is…