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

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: Q.5 Find the absolute maximum and minimum values of f(x) = x³ – 3x2 – 9x + 25 over the closed…

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Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

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Q: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

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Q: On which interval(s) is the function f(x)=(12/5)x5-3x4-8x3+5 increasing?

A: Given function is,

Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

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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: 2 f(x) = 3x-5x-5; k = 3

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Q: Find the critical points of the function f(K)-7x2-14x.

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Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

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Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

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Q: Find the interval of increase of p(x)=x2+5x+6

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Q: Find the local extrema for f(x) = „5/3 + 8x2/3

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Q: at x=3.

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Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: 2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the critical numbers of the function  f(x) = x3 + 6x2  - 15x

A: Solution -  Given function is given as- f(x) = x3+6x2-15x…

Q: 2x - 10 K x+ 1

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Q: If f(x) = 2x3 + Ax2 + 4x - 5 and f(2) = 5, what is thevalue of A ?

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

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

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Q: f(x) = 15- (3-t)(r - 8t + 7)

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Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: f (x) = 3.x5 5x3.

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Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

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Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a…

A: Given model of the equation is simplified by expanding the brackets:

Q: 2. For what values of x is y = 150x - 2x3 an increasing function?

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Q: f (x) = 3c³ -3x² + -3 at x= - 1

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Q: Find the local extremum  f(x)=x^4-8x^2+12

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Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

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Q: Find f '(a) for f(x) = 3 − 2x + 4x2

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Q: Find the critical points of the function f(x) = 2x3 + 3x2 − 12x + 5.

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Q: Let p=(12-2x)^2 for 0≤x≤3 be the price at which x hundred units of a certain commodity will be sold,…

A: Given: P=(12-2x)2         for 0≤x≤3            Revenue   R(x)=xP(x) then    R(x)=x12-2x2…

Q: Find the critical numbers of the function.   f(x)  = x3 + 6x2 -15x

A: Critical numbers of a function are the values of x for which its first derivative is zero or…

Q: 2) Find the domain of the function. 7 – 4x f(x) = 3x + 2

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Q: Vx² - 5x +1 a) lím V4x +3x

A: To find:- limx→∞x2-5x+14x2+3x

Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.

A: To Determine :- The maximum revenue for the revenue function. Rx = 372x - 0.7x2

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

Q: B3(a): Find the critical points of the function f(x) = 6x² – 12x. %3D

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Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1…

Q: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: Find (f-1)'(a) for f(x) = V3x + 4 when a = 2. (Enter an exact answer.)

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Q: 10) f(x) = V3x – 1

A: Explanation of the solution is given below..

Q: Find f (x) given f "(x)= 6x² +8x³ – x and the initial condition f(-1)=- 2

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Q: Find f(4) using forward, backward and central difference of: (3 – 2x)² f (x) : |- x2 Step size = 0.2

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Q: Find f (k + 2) given that, f(x) = 3x² + 2x + 4

A: Given: fx=3x2+2x+4   We know that the perfect square formula; a+b2=a2+2ab+b2

Q: The function f: R R satisfies the condition mf (x-1)+nf(-x) =21x|+ 1. If f(-2) = 5 and f(1) = 1,…

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.