Do you agree with the statement that  cubic functions must have aleast one  x intercept but no more than 3  whereas  quadratic functions may or may not have  x intercepts  provide evidnce to support your position

Q: Find the mioimum and maximum values of the function subject to the gicen fCx.y)=6x?+Sy? 3X+10y=3

A:

Q: What is the absolute minimum on the interval [-2,1] for f(x) = 6x³ + 6x² – 6x + 14? A 1/3 B) 2 -6 -1

A:

Q: f(x) = −x2 + 6x − 12 y-intercept(x, y)=

A:

Q: Assume that the total revenue received from the sale of x items is given by, R(x) = 29 In (3x + 1),…

A: Given data :  R(x) = 29 ln(3x+1) C(x) = x/2

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: 4. cubic equation must have at least 1 real solution so it must have cut the x-axis once since if…

Q: Find the maximum value of x2+20 divied by x+1 on the horizontal span of 0 to 10.

A:

Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

A:

Q: Among the specifications of a company, which requires packing its product in boxes, it is found that…

A:

Q: I hope to explain the question in steps Find the maximum and minimum values of f(x,y)=…

A:

Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

A:

Q: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

A:

Q: A company estimates that its profit, P, in hundreds of dollars, is P(x) = -4x2 + 40x + 3 where x is…

A: Given:     P(x) = -4x2 + 40x + 3

Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

A:

Q: Consider a parabolic arch whose shape may be represented by the graph of y = 9 - x2, where the base…

A: Pick a point P at the considered arc,  that is                         p = x , 9-x2…

Q: Find the maximum of the quantity xy² where x and y are nonnegative integers and x + y = 9.

A: Since x+y=9, then x=9-y. Assume that, N=xy2=9-yy2=9y2-y3 To find the critical points, set dNdy=0.…

Q: Determine algebraically where the cubic function with zeroes at 2, 3 and -5 and passes through the…

A:

Q: + iv is analyt: and satisfies the a real constant

A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

Q: Two nonnegative numbers whose product is 36a? (where a > 0) and whose sum is a minimum, are

A: Now we will solve the problem.

Q: Find the point on the graph of y = 1x that is closest to the point (2, 0). [Hint: 2(x - 2)2 + y2 has…

A: Given: y=x Let the point closest to (2,0) be P(x,y). Distance between point P(x,y) and (2,0) is:…

Q: 1 7. f (x) = 3x² - x + 6 Opens up/down: Vertex: Axis of symmetry:

A: We can answers first three parts of the question as per the honor policy. Please resubmit other…

Q: What is the difference between the maximum and minimum of the quantity (x2y2)/25 where x and y are…

A:

Q: Determine the quadratic function of the form f(x) = a(x – h)² + k whose graph is given on the right.…

A: Consider quadratic function of the form               f(x) = a(x-h)² + k

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: A cubic function is one in the form f(x)=ax3+bx2+cx+d. The "basic" cubic function, f(x)=x3 , is…

Q: The quadratic function that best models this population as a function of the number of years after…

A:

Q: Is it possible for the graphs of two different quadratic functions to each have x = -3 as its line…

A: Given

Q: I am stuck on the maximum and minimum values of y and corresponding x.  Will you please assist on…

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: topic - application of derivatives $9000 at 75 units

Q: A new design for a rectangular table place mat has been implemented by a company manufacturing…

A: Maximization of area

Q: Suppose that y = nx2 - 15x - 2 has a maximum at x = -3. Determine the value of n. %3D

A: If a function y=f(x) has a maximum at some value x=c, then the derivative of the function at x=c is…

Q: A software developer notices that the number y of downloads of an app (in thousands) is related to…

A: Given, y=2.6-0.4x Part a: We know that, Rx=yxRx=2.6-0.4xxRx=2.6x-0.4x2 Part b: To find the extremum…

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Consider the provided question, Yes, cubic function have at least one real root (x-intercept) but…

Q: Plz solve

A: Given: Where x is unit cost of chips, y is cost of unit of labor.

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

A:

Q: Do you agree with this statement. Cubic functions must have at least one x intercept but not more…

A: Given statement : Cubic functions must have at least one x intercept but not more than 3 whereas…

Q: What is the minimum of f (x) = (x + 3)2 − 4?

A:

Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

A:

Q: if the function f(x)= x^3+ax^2+bx has the local minimum value -2/9 cube root 9 at x= 1/cube root ,…

A: Given fx=x3+ax2+bx has local minimum value -239 at x=13 to find  value of a and b explanation as…

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: Do you agree with the statement that “cubic functions must have at least 1 x – intercept but not…

A: Given the given statement is that the cubic functions must have at least 1 x – intercept but not…

Q: Suppose x) =x*+x³– 6x² Determine the value of x vhere f has a relative maxmum value.

A:

Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

A:

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Answer

Q: The absolute maximum of the function f(x) = 4x? 12x + 10 over [1, 6]. -

A:

Q: Solve both parts. Having difficulty with this set of piecewise functions.

A: (a). The given function is: f(x)=3      if x<2-4if x≥2

Q: To find two real numbers whose difference is 24 and whose product is minimum, we can find the…

A:

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

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and…

Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

A:

Q: In the article "Do Dogs Know Calculus?" the author Timothy Pennings explained how he noticed that…

A: Given: Speed on the sand = 6.2 m/s Speed on the water = 0.94 m/s To find: The distance x from C so…

Q: 1. What is the maximum product of two positive numbers which are solutions to 4x+y = 16?

A: 4x+y=16

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: