Find the largest open interval using the tools of calculus where the function is changing as requested. Decreasing: y = 1 +7

Q: determine the value of "a" so that f(x) (image) have the line y=x+5 as an asymptote

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Q: Consider the function f(x) = 2.r3 – 2x2 – 4x + 8. -

A: It is given that, f(x)=2x3-2x2-4x+8   At inflection points, the second derivative of the function…

Q: ソ= xe*

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Q: Find both the positive and negative intervals for the function. f(x) = –12/T Positive: (-00, 0)…

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Q: c) f(x) =

A: We can use the concept of limit  in order to solve the given problem.

Q: Calculate the largest vertical distance between f(x) = (x + 4) and g(x) = 2x? over the interval of…

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Q: a. Find the absolute extrema of flx) = x2 – 3x + 3 on the interval

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Q: Determine the intervals on which the function is concave up or down and find the points of…

A: Giveny = 5x2 + ln xwhere x > 0

Q: 1. f(x) = 2x3 – x* + 1

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Q: JA di is concave downward. Find the interval on which the curve x) - 6+ 8t

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Q: The domain of the function y= f(x) is (Type your answer in interval notation.)

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Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

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Q: sketch the interval (a, b) on the x-axiswith the point c inside. Then find a value of δ> 0 such…

A: -72<x<-120<x+3<sLet fx=x+3

Q: Find all absolute maxima and minima values for the function y=x^2+(54/x), on the intervial [1,108]

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Q: Consider the function below.f(x) = 1 + 3x^4 − 2x^5(a) Using analytical methods, find the intervals…

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Q: Use the vertical line test to identify graphs in which y is a function of x.

A: Vertical line test: If every vertical line cuts the graph only once then the graph will be a…

Q: r(y) = Vy? – 6y ,2 бу

A: Consider the given function as ry=y2-6y5 Simplify as ry=y2-6y15

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the extremum points of the function f(x,y) = y² +x*y +x² - 2y and determine the nature of the…

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Q: Find the largest open interval where 8. y = (x?_9)a° is increasing.

A: Given query is to find the interval where function is increasing.

Q: Find the interval of x-values on which the curve is concave up and concave down , then sketch the…

A: (1) Given a function, fx=x33+x2-3x

Q: At which r-values is the following function g differentiable? Explain and compute, where necessary.…

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Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

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Q: Find the x-coordinates of all points of inflection, and find the open intervals where the function…

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Q: Find the open intervals where the function is concave up, concave down

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Q: 4x 82. f(x) = X - 3

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Q: Determine the interval(s) for which f(x) = x4 – 54x² is concave down. Answer:

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Q: Determine the intervals on which the function is concave up or down and find the points of…

A: The graph of a function f(x) is : (i) concave up if f'(x)>0 (ii) concave down if f'(x)<0 A…

Q: Find the intervals, where the function f (x) is concave 12 %3D 20 up/concave down.

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Q: Determine the values of x at which the function in Figure  is: (a) discontinuous and (b)…

A: To determine the values of x at which the function is  a) discontinuous. b) nondifferentiable.

Q: Use the graph of f to find the interval(s) on which f is decreasing., Where applicable, use interval…

A: we have to use the graph to identify where f(x) is decreasing.

Q: Find the absolute extrema of the function on the closed interval.                         f (x) = 3…

A: Given equation is   f(x) = 3-x The absolute maxima or minima occur either on the critical points or…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: Determine the open t-intervals on which the curve is concave downward or concave upward x = 3t2, y =…

A: x=3t2, y=t3-t Differentiating with respect to t, we get dxdt=32t,  dydt=3t2-1⇒dxdt=6t,  dydt=3t2-1…

Q: Find the intervals on which the function f(x)=x4−6x2−6x+1 is convex upward and convex downward.

A: We find f"(x) using the power rule

Q: Find the intervals of concavity and inflection points for the function 5 f(x) =+(-1)* (b +1)x²…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Use the graph of f. Where applicable, use interval notation.Find the average rate of change of f…

A: If (x1, f(x1)) and (x2, f(x2)) are two distinct points on the graph of a function f, then the…

Q: 4. Determine the possible pairs of values (a, b) which make the function below continuous…

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Q: Find the constant a such that the function is continuous on the entire real number line. Sx³, x 2…

A: Given : f(x) = x3,x≤2ax2,x>2 and the function is continuous. To find : value of a?

Q: Find the absolute extrema of the function on the closed interval.                    f(x) = x / (√x2…

A: Given Data The function is f(x)=x/√(x²+1). The interval is [0,2].   Differentiate the function with…

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

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Q: On which interval is f(x) = x – 12x + 12 decreasing? o (-2, 2) o (-00, 2) o (-0, -2) U (2, +0) ㅇ…

A: Let's find.

Q: -x, x±1 f(x) = 0, x= 1

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Q: 1 + y =

A: To solve the following problem, we use the concept of seperation of variable, then integrate both…

Q: Find all points where the function f(x)=|x|^p is differentiable. How does the answer depend on the…

A: The left-hand derivative of the function at x=a is given by the expression…