2s +3 F(s) = (s2 + 4)(s2 + 1)'

Q: Consider the function f(x)=xe−9x,0≤x≤2. On this interval, ff has a minimum value equal to: which is…

A: Given fx=xe-9x 0≤x≤2

Q: b)f(x) = Vx²

A:

Q: 28) Find the equation of the function yielding the following -2 -1 0. 1 7 3 1 %3D

A:

Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: (b) Find the values of a andb so that the function f(x) = x2 + ax +b has a local maximum at the…

A: We have to find the value of a and b

Q: 3. Find the stationary points of the following functions, and figure out whether they are local…

A:

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the…

A:

Q: 2. Find the absolute maximum and minimum values of the function f (x) = - on the closed interval -2…

A: We need to find absolute max and min value in given interval.

Q: Based on the graphs of f(x) and g(x), in which interval(s) are both functions increasing?…

A: Domain of g(x) can be broken into following intervals: (-inf,-3), (-3,-1) and (-1,inf) In each…

Q: Q2: Find the value of the constant K if the function 4-x is continuous at x-2 f(x) ={3-Vx² +5 ;x= 2…

A: we have to find the value of k Given,  f(x)=4-x3-x2+5          x≠2K                              x=2…

Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

A:

Q: The range of the function f (x, y) = In(-x² – + 1) is [0; +0) None of these O [0;1] O (-00;0]

A:

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) = x2 + xy +…

A: Let us consider the function f(x ,y), to determine the local maxima, minima and saddle point  Find…

Q: -1 Q4 Let f(x)= x22 Find the value of (k) that makes the function is contimuons at =2.

A: F(x)= x2-1 when x<2

Q: 5. The coordinates of the hole for the function f (x) x²-4 are: x-2

A: Given function, f(x)=x2-4x-2

Q: onsider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 (D) h(−1) (E) h(0)…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Determine the critical numbers, if any, of the function f. f(x) = 3x* + 6x³ – 24x? – 72x + 22

A:

Q: The range of the function f (x) = 2+ V9 – x² is [2, 5] O [0,3] О -3, 3] O [-1,2] O [-3,0]

A: Explanation of the answer is as follows

Q: 4. Find the values of a and b so the function will have a relative extreme at (3, 1). y3D=x' +ax? +b

A:

Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

A:

Q: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) =x2 + xy+y2…

A: Solution of Q 2)

Q: 2. Find the x-coordinate of the point(s) of discontinuity of the following functions -16 x3 16х — 4,…

A: For x&lt; 3 , f(x)= -16 is continuousFor 3&lt;x&lt;6 , f(x)=16x-4 is continuous tooFor x&gt;6 ,…

Q: f (x) = x³ - 3x²?+ 3x – 2 оn (— ох, о)

A:

Q: -4 Find the linearization L(x) of the function at a. 3. f(x) = /x, a = 4

A: fx=x=x12 f'x=12x12-1=12x-12   At a=4,  f4=412=2 f'4=124-12=1212=14

Q: 3. Given f(x)=-x+4x+12, 0sx58: (a) Carefully, graph S(x), 0Sx s8.

A:

Q: f(x) = 2x3 - 3x2 - 36x +14 %3D fınd minimum point O (0,0) O (-2, 58) O (3, -67) O none of the above

A: The given function is  f(x) = 2x3 - 3x2 - 36x + 14 To find minimum point

Q: find the value of a and b so the the function has a local extreme value of 1 at x=3 f(x)=ax+b/x^2-1

A:

Q: Evaluate the step function defined by f(x) = [[x]] for the given value of x. s(-3,4) = I

A: The floor function is the function that takes as input  real number x,and gives as output the…

Q: The graph shown below is f(x) = v2x – 2. If g(x) = S6" f(t) dt , what is g' (2)? 5 4 3- 21 11 ++++…

A:

Q: The equation for a family of functions with zeros at +3, and -1, with end behaviors from Q2→Q4 is:…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Q1/ Find the maxima, minima and saddle points for the following function and the value of the…

A: Since you have asked for multiple questions, we will solve the first question for you. If you want…

Q: It has been found that a worker new to the operation of a certain task on the assembly line will…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take t=1 for the…

Q: ) find w=4 +iv if the function. in term of 2 is f(z) = (Z-32²) (2z+i)

A:

Q: For a E [-12, 15] the function f is defined by f(1) = 2°(x – 8)5 On which two intervals is the…

A:

Q: 1<x< 3 x 2 3 Find all the points of discontinuity of the function S(x) : x+ 2 (x² – 4

A:

Q: Find the z-coordinate(s) of the inflexion point(s) of the graph of f(z) = 21-3z² + z – 1. %3D

A: Explanation: Given that: fx=2x4-3x2+x-1 Concept: dxndx=nxn-1 Step 1. Take the first derivative  Step…

Q: 20. The piecewise function of the Heaviside Switch function f(t) = 3H(t)- 2tH(t-2) + t²H(t - 4) is:

A:

Q: . Find all the local maxima, local minima and saddle points of the function below. f(x, y) = 2x³ +…

A:

Q: 2) For over 20 years, the population of Tressel, Ohio has been increasing linearly according tothe…

A:

Q: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x&gt;1

Q: 2. The equation for a family of functions with zeros at +3, and -1, with end behaviors from Q2→Q4…

A:

Q: Find the t-value(s) of the relative maxima and relative minima, if any, of the function. (If an…

A: Second Derivative Test To Find Maxima &amp; Minima Let us consider a function f defined in the…

Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +…

A:

Q: 17. Find all local maxima, local minima, and saddle points for the function: f(x,y) = x² – 6xy + 8y³

A: To find the local maxima, local minima and saddle points for the function: f(x,y)=x3-6xy+8y3

Q: Q4) Find the local and absolute extreme values of the function on the given interval. 1. f(x) - x' -…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…