Find the constant a such that the function is continuous on the entire real number line. Sx³, x< 9 f(x) lax?, х> 9

Q: Find the constants a and b such that the function is continuous on the entire real number line. x <…

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Q: Q2) Find the open intervals on which the function is increasing and decreasing f(x) =/4-x %3D

A: Given: fx=4-x we know that any given functionfx is increasing in a interval if f'x is greater than…

Q: b. Choose the correct range of the function f(x,y) = In (3x2 + 3y?). O A. All non-negative real…

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Q: Find the range and domain of the function, f(x,y) = sqaure root of (36-x2-y2)

A: Given function is f(x,y)=36-x2-y2We have to find the domain and range of…

Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

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Q: Find the domain of the function f(x) = V15x – 3. %3D - (Write the domain in interval notation.)

A: Given function is fx=15x-34. To find the domain of the function. Solution: We have function…

Q: Find the constant a such that the function is continuous on the entire real line. f(x) = √5x², x ≥ 1…

A: We need to find a.

Q: -pose f(x) = (x² – 9)2/3. Find the intervals rvals on which it is decreasing.

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Q: (2ax + 4,x < 2 g(x) = 110, 7. Find the value of “a" if gx) is continuous for all 2 < x real numbers.

A: g(x)is  continues for all real numbers

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: Find real values of x for which f(x) = 0. f(x) = x2 − 81

A: Find real values of x for which f(x) = 0.

Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given, f(x) =2x≤-1ax+b-1&lt;x&lt;3-2x⩾3

Q: Find the intervals where g(x)= -2(4x+1)10 is increasing and where it is decreasing

A: Find first derivative using exponent rule and chain rule.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: find the values of the constants a and/or b needed to make the following functions continuous for…

A: To fix the values of the unknown a and b to ensure the continuity of the given function

Q: Locate the absolute extrema of the function on the closed interval [-60,60]

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Q: The absolute maximum of the function f(x) = 2x? – 13x + 9 over 1, 6]. -

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Q: b) Find the Constants "a" and "b" such that the following function is continuous for all real…

A: We have to properties of continuity first.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: The given function is: fx=x4-5x3   As we know that; If f''x&gt;0, then we get the interval where the…

Q: Determine the intervals in which the function: F( x) = x* – 4x³ +9 It is increasing and decreasing

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Find the absolute extremum value 1. f(x) = x - 8x² + 16; on [-3,1]

A: Introduction: The maximum and smallest values of a function within a certain set of ranges are known…

Q: Find the area in the first quadrant, bunded by the function, f (x) = 3/x+1 , and x = 4

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Q: Find the domain of the function h(t)= 4/t write in interval notation

A: Domain of a function is the set of points on which function is defined. here, we have to find the…

Q: Find the absolute extreme values of the function on the interval. F(x) = , -2 -2 <xs 64 %3D

A: As per our guidelines, we are allowed to answer only the first question. Please upload another…

Q: A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the…

A: Hi, thank you for the question. Since you have posted a question with multiple subparts, as per our…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Given the function f(x) = -x* + 8x? + 2, determine the absolute maximum value of f on the closed…

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Q: 3. Given f (x) = 5x² and g(x) = Vx – 3 , what is the domain of (f • g)(x)? Write your answer in…

A: f(x)=5x2, g(x)=x-3

Q: The absolute maximum of the function f(x) = 4x? – 13x + 9 over [1, 5]. -

A: Given, f(x)=4x2-13x+9   over  1,5 To find: Absolute Maximum of f(x)

Q: Find the intervals on which the function is continuous, r+4 2-12x+32

A: Rational function are not continuous at those x values which makes the denominator zero.

Q: Use (f(a+h)-f(a))/h to find and solve f(x)=2x^3-x^2+1

A: The given function Use the formula

Q: SBx? - з (Bx + 2 if Suppose that f(x) = x > 2 if Find the value of ß so that f(x) is continuous…

A: For continuity, left hand limit=right hand limit=f(x)

Q: Find a value of the constant k, if possible, at which kx2 f(x) = x+k x> -7 is continuous everywhere.…

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Q: Given the function k (x) = 2x³ – 9x² + 12x + 9. Find the interval when k (x) is concave upward.…

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Q: Consider the function f(x)=2x^2−2 for x≥0. What is the domain of f−1(x)?  answer in interval…

A: Domain set of all input values where f defined Range set of all output values

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: graph is concave upward when f"(x)&gt;0  and concave downward when f"(x)&lt;0.

Q: Find the differnce quotient with steps  use the function f(x)= x^2-16 and using formula…

A: Given that f(x)=x^2-16 differnce quotient f(x+h)-f(x)/h

Q: Find the absolute maximum value of f(x) = 2x3 + 3x? – 12x on the interval [0,2]. 4 -7 20 6.

A: Let f(x)=2x3+3x2-12x on the interval [0, 2] To find the critical points, Differentiate f(x) with…

Q: (b) Find the intervals in which the function f(x)=x* +4x'+7 is concave up/concave down. Also find…

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Q: Given the function f(x) = -x – 8x3 - 18x² , determine all intervals on which f s both increasing and…

A: For a function f(x) to increase in an interval at each point the condition is : f'(x) &gt; 0.

Q: Find the absolute extremum value 1. f(x) = x* - 8x2 + 16; on [-3,1]

A: Explanation of the answer is as follows

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: 4- For f(x) = 4x/3 + x4/3 , determine the intervals where the function is increasing.

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Q: The function f(x)=-4x3-30x2+72x-6  is increasing on the interval ( ?, ?) It is decreasing on the…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Find the domain of the function. (Enter your answer using interval notation.) k(x) =, Vx+4 x - 2

A: Given function k(x) = x+4x-2TO find : Domain of the function

Q: Find the absolute maximum value of f(x) = x? - 2x + 12 over the interval (0, 5]

A: find absolute maxima if it is helpful, appreciate

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…

Q: find the constant a, or the constants a and b, such that the function is continuous on the entire…

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