2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the interval – 4sxs2.

Q: f(x, y) = ln (2x) In (3y) + x - y - xy - 3, then fyz (2,-) is equal to

A: Given :fx,y=ln2xln3y+x-y-xy-3

Q: f(x) = sin 2x,x e [0,2n]

A:

Q: = x2 - 4x + 1 with domain [0, 3] f has ---Select--- v at (x, y) = f has ---Select--- v at (x, y) = f…

A:

Q: 2. Find all critical points of the function f(x, y) : = x cos y + sin y + 1 and determine their…

A:

Q: Suppose that the FIRST DERIVATIVE of a function f is given by f' (x) = (x – 3)² (z² + 5x). Find the…

A: We find the critical numbers by solving f'(x)=0

Q: at x = The function has a relative minimum of at x = The function is increasing on the interval(s):

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the points of local minimum and  local  maximum of the functions f(x) = sin2x where x belongs…

A:

Q: 2. Find the local maximum and minimum values and saddle points (if any) of the function f(x, y) = xy…

A: Here, the given function is: f(x,y)=xy-2x-2y-x2-y2

Q: 1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Q.2 Find the derivative at each critical point and determine the local extreme value. (a) y=x√√4x² 1…

A:

Q: Consider the function f(x) = 648x¬² + x³. Taking the initial point as x = 6 and increment value as…

A: Here, fx=648x2+x3 Take x0=6 and △=1 Iteration 1) k=0 of xk Now, xk+1=xk+2k△ Here, x0=6…

Q: Find the global maximum and minimum of the function on the given…

A:

Q: find all critical points of the function f (x) = x ln x

A: Given: First, take the derivative equals to zero. Therefore,

Q: Find the maximum or local minimum f(x)=sinx.[0,4]

A:

Q: 1. Find the maximum and the minimum values of the function f(x)= 2x – tanx %3D in the interval 3' 3

A: Given: f(x)=2x-tanx Differentiate the function with respect to x. f'(x)=ddx(2x-tanx)=2-sec2x…

Q: Consider the following function f(x)=2(x+1)2 in the interval [-2, 3] The critical point(s) =…

A: For critical points put f'(x)=0.

Q: Find all the critical points of f(2z, v) = - . 1 + 4x – xy? and classify them using the second…

A: The given function is;  f(x)=-x3/3 +4x -xy2.

Q: Find the lineari zation L (x) of the fuction at a. f) = x'+2x

A: In the given question we have to find linearization of function.

Q: Find the positive critical point of the function f(x) =

A: For critical points set first derivative of function is equal to zero and solve for x . f ' ( x ) =…

Q: 6. Differentiate: a. f(x) In (In (3x)) b. Find equation of the tangent line to the graph of y-e³x.…

A:

Q: Consider the function ƒ(x) = x3. Where is the critical pointof ƒ? Does ƒ have a local maximum or…

A: Given  ƒ(x) = x3

Q: Q4: Find and classify all critical points for the function: z2 = (x3/3)-(y3/3)+2xy

A:

Q: s of 0 would be a minimum value on the graph of y = sin 0 over the interval [-27,0)?

A:

Q: 7) Find the critical point (s) of f(x, y) = 2x³ + 3y² - 9x² - 30y + 12x-3. Then use the second…

A: solution is given below...

Q: 1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and…

A: f(x,y)=x2+4xy we have to find the critical points.

Q: Identify the critical points of the function f(x, y) = x³ – 12x +y² – 3xy + 30 and the local minimum…

A:

Q: Find all critical points of the function: f (x) = sec−1 x − ln x

A: Given function f(x) = sec−1 x − ln x

Q: 4. Find and classify the critical points of the given function by using Second Derivatives Test. 1 1…

A:

Q: 3. x - y=t + 3 4. x = VT-T; y =t- 3t 5. x = vE + 2; y = t² - 3

A:

Q: Find the absolute maximum and absolute minimum values of the function f(x) = 2x – 15 In(7x) on the…

A:

Q: Find the critical points of the function x + 1 f (x) = (5 – x)² -

A:

Q: find the critical points and and absolute extrema of the function y=9-x^2 on the interval [-3,1]

A:

Q: 4. Find all of the critical points of the function f (x)

A:

Q: True or false: The minimum value of the function y = 2 sin x + 1 is -1._______

A: True or false: The minimum value of the function y=2 sin x+1 is -1.

Q: 2. Find the absolute extrema of the function on the closed interval. f (x) = Vx – 2, [0,4]

A:

Q: On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?

A: The given function is fx=sinx Differentiating w.r.t. x to both sides- f'x=cosx To find the critical…

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given function:                         y=ex-e-x The domain of a function is the set of input values…

Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

A:

Q: Suppose the derivative of a function is x2 + 2x -3. a) On which open interval/s is the function…

A: Consider the given: Given:f'x=x2+2x-3 Find the critical numbers: Substitute…

Q: Find the critical points of the function x + 1 f(x) = (5 – x)2 -

A:

Q: Find the absolute maximum value and the absolute minimum value of the function S(x) =x+2 sin xr on…

A: Differentiate the function fx=x+2sinx with respect to x, to find f'(x). To obtain the critical…

Q: Determine the local extrema for t(x) = -3x3 - N2 - 90x +1 using the First Derivative Test. %3D

A:

Q: Use algebraic methods to determine the critical value(s) of f(x) = x √4−x.  Give your answers in…

A:

Q: (b) Show that f(x) = ln(x + 2) has a unique fixed point in [0, 2].

A:

Q: 5)Let f ( x ) =3x4 + 4x3 Find the derivative. b)Find the critical numbers.

A: Given problem:- 5)Let f ( x ) =3x4 + 4x3   a) Find the derivative.   b) Find the critical numbers.

Q: 1. Explain how would you determine the maximum value of y= 1 3-cos x

A:

Q: Find all critical points for the function f(x) = (z² – 4) . %3D

A: To find the critical points of f(x), find the derivative of f(x) and equate it to zero.

Q: Find the absolute maximum and minimum values of f(x) = (z² + æ)f over the interval [-3, 4]. and it…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.