Find the domain of f(x) = V9x – 27. 9х —

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: To find the critical points we solve dy/dx=0

Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

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Q: B- Find the local extreme points of the function f(x, y) = 4xy - x - y^.

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Q: The domain of the function ,y) = In[x* +y² – 1) is:?

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

A: Solution:

Q: Find the area of a triangle bounded by the y-axis, the line f(x)=10−2x, and the line perpendicular…

A: y=10-2x here coefficient of x is -2 so the slope of the line is m=-2 and the perpendicular line…

Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

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Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: Find Fxxygy for the function Fory)-J*J€nx-x]

A: We havr to find the derivative.

Q: Q1. Find the maximum and minimum values of f? (Using Graphical Method) f = 10x + 28y Subjected to:…

A: Consider the given function. fx,y=10x+28y And, the subject is defined as, 5x+5y≤1502y-5x≤2y-10≤7…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=9−2/5x, and the line perpendicular…

A: fx=9-25x Comparing with fx=mx+c, we get m=slope=-25c=y-intercept=9 Therefore the slope of a line…

Q: Find the domain of the function f(x,y)= exy/ x-y2

A: Answer-

Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Differentiate the function. 2. y = (4x – 5)* (4 – x³) ² dy 13|

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Q: Differentiate the function. y = (3x- 2)² (1 –x³)² dy

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

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Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

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

A:

Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

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Q: for f(x)=2x4-5x3+7 find all potential points of inflection and map the intervals where the function…

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Q: Find the maximum and minimum values of f(x, y)=x+3xy2-3x2-3y²+4.

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Q: The cube root parent function y = Vx has been transformed a) 2.

A: given graph

Q: Find the linearization for f(r) 10, and use it to approximate 12 near a=

A: We want to find the approximate value of 112 by linear approximation of the function ,fx=1x by…

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 10 1 and the line perpendicular…

A: A triangle bounded by the y axis, the line f(x)=10-13x, and the line perpendicularto f(x) that…

Q: y = V4x3 –6

A:

Q: Find f(4) using forward, backward and central difference of: (3 – 2x)2 f(x) = %3D x2 Step size = 02

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Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−1/3x, and the line perpendicular…

A: We have to find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line…

Q: Find the global extrema of the function f(x)=x4−2x2−1 on [0,+∞).

A: Given function is Differentiating both sides with respect to x, we get Now, we will find critical…

Q: Consider the function f(x)=x^2+2x+2  what is the equation of the line of symmetry of f?

A: To find equation of line of symmetry of function fx=x2+2x+2

Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:

Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

A: The graph of region bounded by curves y=3x-x^2 and x-axis is

Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: Find the point on the graph of f(x) = Vx that is closest to the point (5, 0). (x, y) =

A: Use distance between point concept and then differentiate

Q: Find the extrema of f(x,y) = -2x² + y taken on the graph of x + y? = 0.

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Q: Find the absolute maximum of the function f(x) = xª – 8x² on the interval –1 < x< 3.

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Q: find the critical point and classify the function f(x,y) =xlny +x2 -4x-5y+8

A: Answer

Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

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Q: Use Desmos to graph 1) y= Vx, 2) which is -f(x) 3) which is f(-x)

A: Hello! Thank you for the question. We will answer the first question since the exact one wasn't…

Q: 1. Plot the function f(t) = (x+5) %3D 4+3x2 for -35 x 5.

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Q: Find d3y of the function y=x2lnx.

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Q: find the maximum revenue for the function R(x)=356-0.9x^2

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Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: The range of the function y= 16-x2 is the interval [0, 0)

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Q: Use the graph of f(x) = ex to obtain the graph of g(x) = eX. %3D %D

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Q: Find f(4) using forward, backward and central difference of: (3 – 2x)² f (x) : |- x2 Step size = 0.2

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Q: Find the domain of the function flx, yl= %3D

A: Explanation is given below...

Q: Find the point on the graph of f(x) = Vx that is closest to the point (8, 0). (х, у) -

A: