The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

Q: The function f(x) = 11 – 7x has an absolute maximum value of and this occurs at x equals

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Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: For what value of x does the function f(x) = x - 9x - 120x + 6 have a local minimum? O A. 4 OB. 10…

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Q: Given the function g(x) = -x² + 5x +14, determine the average rate of change %3D of the function…

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Q: (d) Find the interval(s) where f(x) is decreasing.

A: There are mainly two ways roughly by which a function's behavior can be obtained and first method is…

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: Given k E R, the function f(x, y) = kx² .2 %3D [A) a minimum point, if k = 0 (B) a maximum point, if…

A: Given,  fx,y=kx2+k-1y2+12xy Using second-order partial derivative, check for maxima and minima.

Q: Find the linearization of the function f(x) = x^8 at x = 1

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Q: B. Find and classify the extreme points of function f(x, y) x* +y-4xy-1.

A: Maxima minima of two variables function

Q: Find the the stationary points and the local extreme values of the function f(x, y) = −2x/x2 + y2+1

A: The objective is to find the stationary points and the local extreme values for the function…

Q: Show that f(x) = ln xn /x is a decreasing function for x > e and n > 0.

A: Given function is, But, Hence,

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y - 3 x + 6xy

A: We use second order partial derivative to find maximum, minimum and saddle points

Q: Find the absolute extrema of the function on the closed interval.

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

Q: For function f (x, y) y? x2+1 Find the maximum rate of decrease of f at the point (1, 2)

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Q: -16t +30t + 4 models the height of a ball t seconds of change of the function over the interval 0,2…

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Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

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Q: 9.03 6. Vse the linear anproximation of the function (x)= V9-x at a = 0 to approximate the number

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Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find all critical points of the function:  f (t) = 8t3 − t2

A: If f has a local extremum (maximum or minimum) at C and if f'(c) exists, then f'(c)=0. A critical…

Q: 1. Given the function f(x) = Vx5 – 3Vx², find the interval(s) of increase.

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Q: 4. Determine the value of the constant k so that f(x) = e* (x + k) decreases on the intervals (- 0,…

A: we have to find value of k

Q: Find the linearization L(x)  of the function f(x)=x^3/4  at x=16

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Q: Find the absolute extrema of the function on the closed interval.

A: Solution Given Find the derivative of the functionf'(x)=xx2+1To find the criticle Number derivative…

Q: find the specific function values. ƒ(x, y) = x2 + xy4 ƒ(-1, 1)

A: Given: fx,y=x2+xy4, f-1,1 for finding given value we substitute x=-1, y=1 in given expression

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

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Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Find the values of x, y and z that correspond to the critical point of the function: 23D f(+, у) —…

A: Given  z = f(x, y) = 2x2-6x-3y+3y2+5xy We have to find the critical point of the function.

Q: The function y = has a: a) local max of % b) absolute max of % c) local min of % d) absolute min of…

A: The given function is: y=1x2+4

Q: The function f(x) = 12 – 6x* has an absolute maximum value of 0 and this occurs at æ equals

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Q: Locate the absolute extrema of the function on the closed interval. 12 g(t) = [-1, 1) t2 + 1'

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Q: Under what circumstances is a linear function f(x) = mx + b odd? Can a linear function ever be even?

A: To check the linear function

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: Let f be the function given by f(x) = 0, 3. What is the instantaneous rate of change of f'at = 2x3 –…

A: Please see the explanation below

Q: The function f(x, y) : 1+2? +y? is 1-x2 -y? discontinuous at the points {(x, y)\æ² + y² # 1}. True…

A: The given function is f(x,y)=1+x2+y21-x2-y2

Q: The function f(x) = 4 – 7x* has an absolute maximum value of and this occurs at x equals

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Q: Give the interval where y is decreasing y=x²e^x

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Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: If f(x) = x - ka 1 has a relative maximum at r = -2, then the value of k is

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Q: Find the critical point of the function f(x, y) = - 5 – x + 4x? + y + 3y? This critical point is a:…

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Q: - Find the Absolute Max and Absolute Min of the function f(x, y) = 5x2 – 3y2 on the disk r+ys 100.

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Q: 2) For over 20 years, the population of Tressel, Ohio has been increasing linearly according tothe…

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Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

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Q: Find k so that the function f(x) = x² + kx will be tangent to the line y = 2x-9

A: Here, the given function is: f(x)=y=x2+kx...(1) And also given that the tangent line to the given…

Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: Find the linear approximation of the function below at x = -1 and use it to approximate f(-0.8). -7x…

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Q: The graph of a function y = f(x) in the xy-plane is the set of all points _______ that satisfy the…

A: Given: The graph of a function y = f(x) in the xy-plane is the set of all points _______ that…

Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

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Q: For the function y = (f ¹)'(-4)= f(x) = x² + 4x - 3, x ≥ - 2, find df-1 dy y=-4

A: Introduction: For a function y=fx, its inverse function is represented as x=f-1y. It is not…