I. determine its domain and range with solution. x² – 81 1. f(x) = x + 9

Q: For what value of x does the function g(x) - 2x? concave downward? А. x2 -1 x 2 0 С. x 2 -2 D. x< 2…

A: The derivative of a function gives the slope. When the slope continually increases, the function is…

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

A:

Q: Does the function y = e-3t satisfy the following differe y" + y' + 12y = 0

A:

Q: Q3: Find domain and Range. 1 y = Vx- |x|

A: Here we find domain and range of given function.

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: Find the absolute extreme values of the function on the interval. F(x) = Vx, -27sxs8

A: We will first differentiate the function to find the critical points.

Q: Q6: Find the local extreme values of the function: f(x, y) = x2 + y² – 6y + 5

A:

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

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

A: First of all we will see what the extremum value of g will be.

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y3 – 3 x? + 6xy

A:

Q: Q1: Find the extreme values of the function F(x,y)=x² + n + y² + 7

A: We have to complete the square first.

Q: For what value of x does the function g(x)= (x²- 4)² attain the absolute maximum in the interval…

A: The given problem is to find at what value of x does function attain absolute maximum, we have to…

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

A:

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

A:

Q: 3 For the function f(x): 2 find the x part of the x-intercept. I + 11

A:

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

A: We have to find Absolute Maximum in the interval [-1,4] by Second Derivative Test.

Q: p(x, y, z) 4 – x² – y²

A:

Q: Given the piecewise function: 4x + 12 x<-2 f(x) = -2x + 6 - 1<x 12. What is the y-intercept? 13.…

A: The given piecewise function is fx=4x+12      x≤-2-2x+6     -1≤x. Sketch the graph of the function…

Q: Consider the problem of maximizing the function -x? f(x)=- +3x 10 where x is allowed to vary between…

A: Given that, f(x)= 3x-(x²/10) Here, f is a polynomial function in x. So, f is continuously…

Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum?

A: In the interval [-2,2] the function g attain the absolute maximum at the point  x=0

Q: Find the value of x for which the line tangent to the graph of f(x)=7/2x^2−5x+1 is parallel to the…

A:

Q: For what values of  r does the function satisfy the y =  e rxequation  y"  + 6 y'   + 8y  =0?

A: Given function y=erx To find value of r which satisfy the equation y"+6y'+8y=0 Solution:…

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

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Compare the given cost function with the general quadratic function as follows.

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

A:

Q: 97. Suppose that f(x) Vx - 2. 0. What point is on the graph (a) Solve f(x) of f?

A:

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

A:

Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? (A) 10 (в) 4

A: solution is given below .

Q: Given f(x) = 2x° – 39x? + 240x + 3, answer the following: a) The point where the relative minimum…

A: Given: fx=2x3-39x2+240x+3 To determine:  a) The point where the relative minimum occurs. b) The…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A:

Q: Find the local extreme values of the function: f(x,y) = x² + y? - 6y + 5

A: We need to find the local extreme values of the function f(x, y)=x2+y2-6y+5. Here,      ∂f∂x=2x…

Q: Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

A:

Q: For what value of x does the function g(x) = (x2 - 4)² attain the absolute maximum in the interval…

A: we have to find absolute maximum

Q: 12. What are the x-intercept(s) to the function f(x) = 3x+15x + 12?

A:

Q: Q4. For a quadratic function y =f(x) = ax² + bx + c, it is given that there is only one x-intercept…

A: We have to find

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

A:

Q: 14. For the function f(x)=ax³+bx² –5x+9 , determine the values of a and b so that s(-1)=12 and…

A:

Q: 02. What is the axis of symmetry for the function y = 2/3 13x + 9| – 2? A. x = -3 B. x = 3 C. x = -2…

A:

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

A:

Q: Aki's Bicycle Designs gas determined that when x hundred bicycles are built, the average cost per…

A: Consider the given average cost per bicycle is  Cx=0.5x2-0.5x+7.024 where C(x) is in hundreds of…

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

A:

Q: For this exercise, you will demonstrate the tests to show that y 6x° + 11x* + 5x° is neither an even…

A: The solution is given below:

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

A:

Q: 3. Find the absolute maximum value of f(x) = x³ – 3x² on the interval -15x<3 (A)–4 (B) 0 (C) 1 (D) 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…