What is the degree, leading term, leading coefficient, and constant term of the functions below? How do they behave as x→ -00 and x → 0o? 1. f(x) = 4x2 – 12x +7

Q: For the following function, y = -32 + 15x + 6x² – x³ (a) find the critical values, (b) test for…

A: Given:     y=-32+15x+6x2-x3 We have to find: Critical values, and test for concavity to determine…

Q: Find the local and absolute extremum for the functions over their domain: x²+2x-3 4. f(x) : x-2 ||

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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: 19. DETAILS LARAPCALC10 2.6.030. Find the higher order derivative. f"(x) = 6x2 + 3x - 14 %3D F(5)(x)…

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

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Q: diau uonsann Suppose the average number of vehicles arriving at the main gate of an amusement park…

A: Answer: (a) The admittance is about 20 vehicles per minute. (nearest tenth value) (b) 3 attendants…

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

A: We have to solve for the function f(x) when f(x)≥0. Given function -  f(x)= x2 + 6x - 7x2 -10x + 25

Q: f(x) = 32x − 8x2 find the critical numbers of the function.

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Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

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Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

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Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Can you check it please?

A: To verify thesteps in the  simplification

Q: Find the local and absolute extremum for the functions over their domain: 1. f(x) = x2 – 6x + 8

A: Given

Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

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Q: explain this.    the given height of a spaceship at time x is defined by h(x)=…

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Q: x+2 Determine the (x,y) location of the hole for f(x)=- x² - 4

A: Holes occur when a duplicate factor is cancelled in the numerator/denominator of f(x).

Q: x- 2 if xS-2 2 1. Sketch: f(x) = - 2 2

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Q: What is the local maximum and minimum of the equation f(x)=x2e17x

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Q: 1. Test z = x + 5xy + 10y? + 8x - 40y for maxima and minima.

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Q: 1. For what value (s) of x is the function f(x) = 4/2x2 - 6x not continous?

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Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: What is the average rate of change between x = 4 and x = 7 for the function g defined below? 3 g(x)…

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per…

Q: Q8: Calculating Derivatives from the Definition. f(x) = x2 – 3x - 1 %3D

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Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

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Q: Next, differentiate the given function y = X 8x + 37 and write as a single fraction completely…

A: Derivative of function

Q: 32. For the function f(x) = 3X *5 Find: f (0) f(-2) f (3)

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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: Graph the following functions.

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Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: 0, xS3 F(x) = -k x2 3

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x? – 12x + 5 b) Determine…

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

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Q: (A) Find the absolute maxima and minima for x3 y = - x + 5 over 3 [-V2, v2]. (B) Use the second…

A: When on critical point f''<0 then that critical point give local maximum value of f(x)  When on…

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: find all possible functions with the givenderivative. y' = 4x - 1/√x

A: Giveny'=4x-1x  To Find: All possible function with the above derivative

Q: Find the antiderivative of the function f(x)=5x^4-4x^5-3x

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Q: 2) Consider the function f (x) = (x + 4)ʻ + 1. %3D What is x when f(x) = 0 ? 3) Factor 2x + 6x – 3…

A: Given, f(x)= (x+4)²+1 f(x)=0

Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: Find the local and absolute extremum for the functions over their domain: 2. f(x) = x3 + 4x2 – 11x –…

A: Given function is  f(x)=x3+4x2-11x-2

Q: The monthly total revenue from a certain product sales of x unit is given as: R(x) =12x – 0.01x²…

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Q: V4 - x 8. g(x) = at x = 0 %3D

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Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: Find a formula for the quadratic function whose y-intercept of y = 3 and x-intercepts at x = 1,…

A: Given: y-intercept y=3 x-intercept at x=1,4

Q: Find the antiderivative of the function f(x)=3x^2-7x-2/x

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Q: 3. 3 Z =6x,-Xg + X, + X, find the endpoints of the function

A: Given fx1,x2=6x1x2+x13+x23 To find the endpoints of this function: The endpoints are given by the…

Q: Find the antiderivative of the function f(x)=7/x^2- 3x^5

A: f(x)=7/x^2- 3x^5