Find the domain of the function using interval notation. f (x) = -2a (x – 3) (x – 5) | | To enter oo, type infinity. To enter U, type U.

Q: Find the domain of f(x) = 1/x and discuss the behavior of f near any excluded x-values.

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Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: The range of the function f(x, y) = 6 – V9 – x2 - y? is O (-∞, 6] O (-0, 3] O [3, 00) O [6, 00) O…

A: Given:     f(x,y)=6-9-x2-y2    Range of the function is         9-x2-y2≥0          9≥x2+y2…

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: From the given graph we see that the vertex is at (3,-1)  So, up to x=3, the function was…

Q: Find k such that the line is tangent to the graph of the function.…

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Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x²…

A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we…

Q: Find the values of a and b that make the following function dif- ferentiable for all x-values. Jах +…

A: To be differentiable at x=-1  The function must be continuous at x=-1 So we plug x=-1 in both…

Q: Find the value of the constant k that makes the function continuous.

A: We shall try and understand this concept, in simple terms.A function is continuous at a point, if…

Q: The function f(x) (x2 -1)3, is increasing on the interval (-00,-2)U(0,2) .A (-1,0) U (1, 0 ) .B

A: The given function is f(x)=(x2-1)23

Q: Q.59 Consider the function f(x) = x² – x - 2. The maximum value of f(x) in the closed interval [-4,…

A: We know that  Second Derivative Test To Find Maximum & Minimum Let us consider a function f…

Q: Find the open interval(s) of f(x), graph given below, where f' (x) is positive. -2 -6 -5-4 -3÷2-1 1…

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Q: Find a and b so that the function is both continuous and differentiable. a= b f(x) = (8x³-4x² +3, x…

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Q: Find the value of c such that the function is continuous on the entire real number line. [x + 3, xs2…

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Q: Find the constant a such that the function is continuous on the entire real line. (x) = {-4, S3x², x…

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Q: f(x, y) = In(3 - x) √x² + y² = 8 - a) Find the domain of the function b) Sketch the Domain

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Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

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Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: Sketch the graph of the function g(x) = 3cos(2x) on the interval -2n s x s 2n.

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Q: Find the value of c in the interval (a,b) such that f'(c)=0 for f(x)=(x-3)(x+1)´ on[[-1,3].

A: the value of c is:-

Q: Use the figure to determine the interval(s) on which the function isincreasing

A: Given: Figure of the function :

Q: (a) Find the local extreme values of the function f(x, y) = 2xy – x² – 2y² + 3x + 4.

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Q: let f(x)= x2 . Find the value c in the interval (0,3) so that fave = f(c).

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Q: 2. Let f(x) = e" + for x E [0,3]. Determine the length of the graph of f. 4e

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Q: Find the domain (in interval notation) of the following functions

A: Given function is,

Q: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: ind the absolute maximum and minimum values of the function f(x) = x*sqrt(4-x^2) on the interval…

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Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

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Q: .a Is the function a.EVEN b. ODD f(x) = |x|, π<x< T

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Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

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Q: Find a and b so that the function 2x3 – 7x2 + 4, x -2 is both continuous and differentiable. a = b…

A: Function and its derivative mist be continuous so check the continuity at x= -2

Q: Let f(x)=x^3−9x. Using Rolle's Theorem, what are all the values c in the interval [-3, 3] such that…

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Q: Find a and b so that the function f(x) = S 4x – 7x² + 5, a -2 is both continuous and…

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Q: a) Consider the function f(x, y) = /In (4 – x² – y?). Find the domain and range of f(x, y).

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Q: 76. f(x) = |x² – 9| 12 10 -4 -2 2

A: fx=x2-9x2&gt;9-x2-9x2&lt;9 Differentiate with respect to x f'x=2xx2-9&gt;0-2xx2-9&lt;0

Q: 2x b) Find values of x, if any, at which f is not continuous: f(x) ==+ %3D x+4

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Q: Determine the intervals on which intervals the function f(x) = x² – e² is concave up or concave…

A: Here, the function is  f(x)=x2-ex

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Consider the function f(x) = 2x³ + 3x? + 15. For what values of k does the Intermediate Value…

A: Given:    Function fx=2x3+3x2+15    Interval 0,1 Mean value Theorem states that for a continuous and…

Q: Find the Domain and the range of the function: f(x, y) = Vy + |xy| with drawing

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Q: Does the test function satisfy the conditions of Rolle's theorem on a given interval? If satisfied,…

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Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: In(x - у) Find the domain of the function f(x,y)= 9-x² - y? Select one: None of the others. D%3D…

A: Domain of the function is the set of values at which the function is defined.

Q: Find a and b so that the function 7x3 – 3x? + 8, x -2 f(x) = ax + b, is both continuous and…

A: To Determine: find a and b if f(x) is both continuous and differentiable. Given: we have…

Q: Find all the inflection points of the function. 1 f(x) = 2 + z? + 10

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Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: . What value(s) of k would make the function continuous? x + 3, x 3

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Q: Let f(x)= 6-x and g(x)= ln(x). What is the domain of g o f(x)? Express your answer in interval…

A: This question is based on functions and definition of Natural logarithm.

Q: Find the value of c in the interval (a, b) such that f'(c) = 0 for f(x) = (x – 3)(x + 1)? on [-1,3].

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