Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) g(x) = x4 − 50x2 + 7 increasing: decreasing:

Q: Let f (x) =2.5 * xsqrt2 − 4.7x. Find the equation of the secant line on the graph of f(x) between…

A: Concept: Equation of the secant: The equation of a secant line given two points (a, b) and (c, d) is…

Q: 04) Find: V2 +7 - 4x a) Horizontal asymbtote for f(x)D x+3 x² - 4 f(x) a to for

A: Given: a) Horizontal asymptote for f(x)=x2+7 -4xx+3 b)Oblique asymtote for f(x)=x2-4x-1

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

A:

Q: 4. The function I results when the function f() = 2x" + 54x" is vertically stretched by a factor of…

A: Given The given function f ( x ) = 2x5 + 54x2

Q: Q3: Find the extreme values of the function f(x, y) = xy – 3x2 - y? + 3x - 3y + 8.

A: To find the extreme values of  f(x,y)=xy-3x²-y²+3x-3y+8

Q: For what value of x does the function f(x) = x³ – 3x? attain the absolute maximum in the interval…

A: To find the value of x at which the f(x) has absolute maximum value in the interval [-1,4].

Q: 6. Consider the quadratic function whose equation is f (x)= x²+ 2x-8. (a) Sketch a graph of f on the…

A:

Q: ind the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Q7:- Find the extreme value of the function f(x,y) = 4xy - x - y*. Q8:- Find the extreme value of…

A:

Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

A:

Q: Q3: Find the extreme values of the function f(x, y) = xy + x2 - y2 – 5x – y + 5.

A:

Q: Q.4 Find the formula and domain of fog and gof when f (x)=x-- and g(x)=- 1+x²

A: To find the formula forf∘g=g∘fwhere f(x)=x-1x  and g(x)=x1+x2Also to find the domain of f∘g and g∘f?

Q: AB2: Let h(x) = f(5x-9). Find h'(3).

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

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

A:

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: f(r) = 2x- 33x2 + 108x +9 This function has a local minimum at x equals The minimum height is This…

A: f(x)=2x³-33x²+108x+9 To find local maxima, minima, maximum and minimum value

Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

A:

Q: gc)= Where is gux) increasing where is gixJ decreasing.

A: Given function: gx=x2-12x2-4x+3 The function is increasing in an interval where f'x>0 The…

Q: f(x+h) – f (x) h f(x) =5x²+ 2x– 3 4. Find the difference quotient, , of (a) g(x) =- (b)

A:

Q: Q 2/ find the value of (k) to continue the function x3-3x2-4x+12 f(x)= x-3 * * x = 3

A:

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

A:

Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: As we are making a box, its height must be greater than 0. So we have x>0. As the width of the…

Q: ind the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A: Explanation: Given that,  g(x)=4x3-6x2+6x-8 Firstly differentiate with respect to x The first…

Q: Given te function g(r) = 3r - 12r - 36r2: its g-intercept is its r-intercepts are

A: We have to find the intercepts

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 7x2 – 4x – 3 at z = -5.

A:

Q: Q1: Find the extreme values of the function F(x,y)=x² +n + y? + 7

A:

Q: Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: [8] Given f(x) = (x – 2)*(x + 2)(x + 4), find the . (a) Intercepts and express them as points. (b)…

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Q: Q3) Find the value of the constant c and the distribu function (x) = c/(x² + 1), where -* <x< , %3D

A:

Q: Consider the function: f(x) - 3x2 + 12x + 36 The y-intercept is at y The x-intercepts are at x =…

A: The given function is fx=-3x2+12x+36. Substitute x=0 in the above function to get the y-intercept as…

Q: The revenue function R in terms of the number of units sold, a, is given as R= 280x – 0.4x? where R…

A:

Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

A:

Q: A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the…

A: Hi, thank you for the question. Since you have posted a question with multiple subparts, as per our…

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: For some positive constant , a patient's temperature change, T , due to a dose, D , of a drug is…

A: Given: For some positive constant c and D=Drug Dose  T=Patient's temperature change T=C2-D3D2

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: Q1: Find the extreme values of the function F(x,y)-x2 + п + у? +7 n=( 2x)

A:

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

A: Consider the graph

Q: (c) Using the IV.T., explain why f(x) = x³'+ 2x – 1 has a zero in the interval [0, 1].

A: I have the state the theorem first and by using the statement i have show the root

Q: x2 + x – 2 At which value of x does the function f(x) have a removable discontinuity? g3 – 3x2 + 2x

A:

Q: If f(x) = 6x +2 and g(x) = 9x+ a, find a so that the graph of fog crosses the y-axis at 218. %3D…

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Q: (A) Find the absolute maxima and minima for y = x- 12x +1 over (-V5, V5).

A: From the given problem:   fx=x3-12x+1   And   a,b→-5,5.   Now differentiate the function and equate…

Q: f(x)=2x−10 and g(x)=x^2+3x+14 What is the quotient of f(x) by g(x?

A: Quotient of f(x) by g(x) is:

Q: Q. 11 Find the inflection point for the function f (x) == - sx² + 2x

A:

Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b&gt;4B When is the function increasing and when is…

A: Function is increasing where slope f’(x) &gt;0 and decreasing where f’(x) &lt;0. Find the derivative…

Q: For the the domain D of the function below, find a possible value for the constant a. f(x)=6x-a , D:…

A: The given function is linear polynomial function and so it is defined for all values of the real…

Q: Find the value of b that gives the function the maximum value of 14. If there is mo f (x) = -x² +…

A:

Q: Find the interval where the function, f(x) = -3x2 + 12x + 15 is decreasing? O a. None O b. (-0,2) O…

A:

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: Use second derivative for find the increasing interval and decreasing interval.

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…