For what vaļue of x does the function g(x) =x - 2x? strictly convex? В. x> 0 A. x> 2 D. x <-1 C. x>-2

Q: Calculate the approximation for the given functionand interval:                    M4, f (x) =√x,…

A:

Q: The minimum value of the function f(x, y) = (x – 1)² + (y – 1)² subject to the constriant x? + y² =…

A: To find the minimum value of the function f(x,y)=(x-1)2+(y-1)2 subject to constraint x2+y2=8. Let,…

Q: Find the absolute extrema of the function on the closed interval.

A: Given function is  y=3-t-3,   -1, 5

Q: At which of the labeled points does f' (x) = 1? B

A: The graph of the function is given by To evaluate : The point at which f'(x) = 1

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: f(x) = x – e2x

A:

Q: Find the formula for a function of the form y=be^((-(x-a)^2)/2) with its maximum at the point (0,5).…

A:

Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: find the value of the constant ( a, b, or c) that makes the function continuous.

A:

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A:

Q: B. Find and classify the extreme points of function f(x, y) x* +y-4xy-1.

A: Maxima minima of two variables function

Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

A:

Q: Find the absolute extrema of the function on the closed interval.                   h(x) = x − 3√x,…

A: The given function on the closed interval [0,9] is

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: For a host - parasite relation, it was determined that when the host density (number of hosts per…

A: y = 1000 x10 + 43 x,where,y = No. of hosts that have parasite,x = No. of hosts per unit area

Q: Find the absolute extrema of the function on the closed interval.

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

Q: Find and classify the critical points of the function f (x, y) = 16x³ – 12x2 + 12xy? + 3y?

A:

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

A:

Q: Given the function f(x) =4x³– 39x²+90x +2, which of the following describes its absolute extrema at…

A: Given that, The function is following, f(x) = 4x3 - 39x2 + 90x + 2 We have to find the absolute…

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

A:

Q: At which r-values is the following function g differentiable? Explain and compute, where necessary.…

A:

Q: Find the absolute extrema of the function on the closed interval.                       y = 3 − ∣t −…

A:

Q: Find the critical local extreme points (if any) to the function -2x3 f(x, y) = + y? + 8x — 6у 3 Vour…

A: We will find out the required critical local extreme point.

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

A:

Q: 2. Use the graph of the function f(x) to estimate where (a) f'(x)= 0, y f(x) (b) f'(x) 0.

A: (a) f'(x) =0   =&gt; the slope is zero, it means when the graph is parallel to x-axis  i.e. at…

Q: The level curves of the function f (x, y) = V2x2 + y? – 1 are

A: Please refer to the image below

Q: Find the absolute extrema of the function on the closed interval. 3 f(x) = x³ – , [-1,2]

A:

Q: Determine the interval(s) for which f(x) = x4 – 54x² is concave down. Answer:

A:

Q: 2 For what values of x does the graph of f(x) = 2x° + 3x – 180x – 1 have a horizontal tangent line?

A: First we find the derivative of f(x), the slope of f(x) for horizontal tangent is 0 and the…

Q: Please

A: For concave downward, f''(x) &lt; 0 f(x) = (1-1/x)2 = 1 - 2/x + 1/x2 f'(x) =2/x2 - 2/x3 f''(x) =…

Q: For what value of x does the function f(x) 4x attain the absolute minimum = in the interval [-3,5]?…

A:

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: Find the extreme values of the function f(x; y) = x2 + y2 + xy on the curve x2 + 2y2 = 1.

A:

Q: Given the function f(x)=x^(3)-x^(2), a relative maximum point occurs at x= ?

A: Let f(x) be the given function and c be the critical point of f. If f"(c)&lt;0 then f has relative…

Q: Give the interval where y is decreasing y=x²e^x

A:

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: f(x) = + 3, X with 0 < x< 3

A: The length(arc-length) of the function is given by: L=∫ab1+(f'(x))2dx

Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

A:

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Find the extrema of f(x,y) = -2x² + y taken on the graph of x + y? = 0.

A:

Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

A:

Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…

A:

Q: Let f(x) = 3x² – 7x + 5. What is the value of x for which the tangent line to the graph of y = f(x)…

A:

Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

A:

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

A:

Q: For what value of x does the function f(x) =x 4x attain the absolute maximum %3D in the interval…

A:

Q: 14) What is the domain of the function f(x) E, ?

A:

Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

Q: 2. Sketch the graph of the function (a) f(x, y) = Vr² + y? (b) f(x, y) = Vx² + y? – 1 %3D

A: Given a. fx,y=x2+y2b.fx,y=x2+y2-1