Find all local extreme values of f(x)=−23x3+4x2+20f(x)=-23x3+4x2+20. The FIRST local extreme value, moving from left to right on the graph, is a at . The SECOND extreme value, moving from left to right on the graph, is a at .

Q: The critical points of the function f(x) = a2– 14x + 12 are

A: Given function is f(x) = x2 - 14x + 12 Critical point of the function is the point in the domain…

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: f(x) = x - 6x + 9x – 6 For this function, on [-1,5] interval, the absolute maximum is 10 and the…

A:

Q: Find the value of b that gives the function the maximum value of 19. f(x)=-x^2+bx+3

A: At the point of maximum the first derivative of the function becomes zero and the second derivative…

Q: 3. Find the extreme values of the function y = x3 – 2x + 4 and where they occur 2

A:

Q: Find the x coordinate of the vertex: f (x) = x +5x+3

A:

Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

A:

Q: Find the value of m if f(x) = (6m +1)x² + 4x - 3 touches the x-axis at only one point

A: To find: The value of m if  f(x) = (6m+1) x2 +4x-3 touches the x-axis at only one point.

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

A:

Q: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

Q: Find the values of k for which f(x) = kx3 -9kx2+9x+3 is increasing on R

A:

Q: The profit function P(x) of a company selling x items is given by P(x) =-x3+9x2-15x-13 where x…

A: x is in thousands. So 6000 means x=6 x is between 0 to 6   We find the critical points of the…

Q: 2. You graph the function f (x)= lx + 21, and your classmate graphs the function g (x)= lx – 21.

A: Given query is to find the similar attributes between f(x) and g(x).

Q: Determine the image of the function 12x + 27 f(x) x² – 4x + 5 for all x E R. Solve the problem…

A: Given fx=x2-12x+27x2-4x+5

Q: Given the functions f(x) = g(x) = 2 x – 2' x - 2 determine (f • g)(x). Show your solutions in the…

A: The functions arefx=xx-2, gx=1x-2

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: For what x does the function g(x) = 10 + 40x - x2 have its maximum value?

A:

Q: Determine the image of the function x2 – 12x + 27 f(x) = x2 – 4x + 5 for all æ E R. Solve the…

A: .The given rational function is f(x)=x2-12x+27x2-4x+5. We can determine the image of the function…

Q: Determine the image of the function - 12x + 27 - f(x) = x2 – 4x + 5 - for all æ E R. Solve the…

A: Given: f(x)=x2-12x+27x2-4x+5  for all x∈ℝTo determine the images of f(x)i.e, range set of f(x)

Q: for what value of x does the function g(x)=1/3x3-2x2 attain the point of inflexion?

A:

Q: Find the point at which the line f(x)=-3x+1 intersects the line g(x)=3x+7

A:

Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

A:

Q: f³ (x) for Find g3 – 5x2 + x = f (x) -

A: Here, the given function is: f(x)=x3-5x2+x

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 – 2x…

A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

Q: For what value of x does the function g(x) = (x² – 4)² attain the absolute maximum?

A:

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

A:

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: Given the graph of f(x), solve a) f(x) > 0 and b) f(x) 0. O A. 5sxs7 O B. x 7 O C. 5 7 O D. 5sxs7

A: According to the given graph the function is: f(x) = (x - 6)2 - 1

Q: The function C(x)=−9x+2401 represents the cost to produce x items. What is the least number of items…

A: Obtain the average cost function for the given cost function as follows. Cx=Cxx=-9x+2401x=-9+2401x

Q: For what value x does the maximum or minimum of f(x) occur? Is the point a maximum or a minimum?…

A:

Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

A:

Q: By using (fixed point itration), Find a solution for f(x) = x3 + x - 1 = 0

A:

Q: Find the number of units x that produces a maximum revenue R. R = 66x2 − 0.04x3

A: Explanation and solutions is given below....

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

A:

Q: Find x-intercept(s) of the graph of function g(x)=/3x+7-1.

A: gx=3x+7-1

Q: On what interval is f(x) = x³ + 3x² – 24x +7 decreasing? The graph is decreasing on the interval

A: Use first order derivative test to obtain the interval of decrease.…

Q: x°-x°+4x* -6x°+2n²- 8x t8=0 Solue for x,

A:

Q: Next, use the vertex and the other point provided to find the value of the leading coefficient a in…

A: Given that vertex is at -3,5, thus, h,k=-3,5.

Q: The degree of f(x) is and the leading coefficient is There are real zeros and relative maximum…

A: Consider the graph

Q: How do you find X in this problem?

A:

Q: The degree of f(x) is v and the leading coefficient is There are real zeros and relative extreme…

A: To Determine :-  Degree of fx Leading coefficient  Number of real zeroes Number of relative extreme…

Q: Suppose f(x) = x² + 3x and g(x) = x. Solve the following inequality using a gn analysis and write…

A:

Q: The fixed-points of f(x) = (x² + 2) a¹ are 3 and

A:

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: Determine the image of the function x2 – 12x + 27 - f(x) = x² – 4x + 5 for all æ E R. Solve the…

A:

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

A:

Q: The function f(x) =px²-qx+ 32, p 0 has a minimum value of 0 when x= 4. Find the value of p and of q.…

A: The given function is f(x)=px2-qx+32. To use the minima information of the function, let us…

Q: x2 + kx + 8 is equal to the maximum Find k so that the minimum value of f (x) value of g(x) =1+4x –…

A:

Q: Find the point at which the line f(x)=−5x−10 intersects the line g(x)=−4x−8.

A: We need to find a point of intersection of both the given lines.