3. Find the domain of g(x) = v16-x² and h(x) = Vx² – 16. Express your answer using interval notation.

Q: Sketch the domain of the f(x, y) = ln((x² + x² – 4)(16 – x² – y²)) |

A: Recall:  Domain of the function:           The domain of the function is the set of all values for…

Q: Calculate M6 for f(x) = v2x over [2, 5].

A:

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: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

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Q: 1. What is the domain of the function f(x) = V 36 – x' ?

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Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

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Q: Find the linear approximation to f(x)=x2+1x−2 near a=3.

A: Given: f(x) = x2 +1x − 2; a = 3

Q: f(x) = x – e2x

A:

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

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Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: Which is equal to (x) given that g(x) = 1- 3x and h(x) = V?

A:

Q: Suppose g'(x)=sec^2(x) and g(0) = 0. What is g(x)?

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

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Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

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Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

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Q: Find the absolute maximum and absolute minimum of the function f(z) = z² – 6z + 5 over (1,

A: Given: fx=x2-6x+5, 1,6

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: Find and classify the critical points of the function f (x, y) = 16x³ – 12x2 + 12xy? + 3y?

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Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

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Q: At what points of ℝ2 is a rational function of two variables continuous?

A: Given  The  ℝ2 is a rational function of two variables .

Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: )For the function f(x) = x-48x, its local maximum is which occurs at ( ... its local minimum is…

A: Solve by derivative test

Q: Find the absolute maximum of the function Ax) = x(x+ 1)(x– 1) on the interval osxs2. O a) o b) 8 c)…

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

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Q: For what value of x does the function f(x) 4x attain the absolute minimum = in the interval [-3,5]?…

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Q: Find the inflection point of the curve f(x)=2x³ – 30x² – 12x+5. O 60 None O -2 O 5

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Q: 3- Show that the function y = x3 + 3x + 3 satisfy the y" + xy" 2y 0

A: Function does not satisfy the given inequality. See the attachment

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

A:

Q: 2) Sketch the graph of the floor function f(x) = x+31 over the interval [-4,2].

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Q: It is given that at x = 1, the function x4 - 62x2 + ax + 9 attains its maximum value in the interval…

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Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: Determine all the critical points of the function f(x) = 3xe3*

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Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

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Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: f(x) =Vx+4 entify the minimum values of the function above when 5 < x 12.

A: Given query is to find the minimum value of the function for the given interval.

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

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Q: Find the local extremum  f(x)=x3+3x2-9x+6

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Q: Suppose that / (3r-x²) dr=Ax³+ Bx+C, for constants A, B, C. What is the value of C if the curve…

A: The given integral ∫3x4-x2dx=Ax5+Bx3+C

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: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

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

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Q: Find a number c that satisfies the conclusion for f(x) = x + x-1 on the interval [0, 2]

A: Answer is 2/√3

Q: t is the absolute minimum value of h(x) = -2x² %3D

A: Solution of the problem as follows

Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

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Q: 3- For what value of c is the function continuous? Provide a well- communicated solution. F(x) = {…

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Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

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Q: In(x² + y² – 9) V25 – x2 – y? - Sketch the domain of f(x, y) -

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…