(1) Let f(x) = 1,x > 0 with domf= R4+. Find the conjugate of function f(x). %3D

Q: 5. Find absolute maxima and minima of the function f(x, y) = x² + y² on the closed triangular plate…

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Q: %3D 1. Find the critical points forf (x) = 3x +

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Q: Find the critical numbers of the function. (Enter your answe g(x) = x² In(x) %3D X =

A: We find g'(x) using the product rule. g(x)=x2ln(x)g'(x)=2xln(x)+x21xg'(x)=2xln(x)+x

Q: x*y"-xy'+y = 0 Y, = In x

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

A: Given that,

Q: # 13) Find two positive numbers x and y for which 2x +y = 30 such that xy² is maximized.

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Q: find where itin creasing awd deveas ihng also fî hl the alobal maximum and minimam. himan f…

A: Topic- application of derivatives

Q: 2) Consider the function g(x) = x³ + 3x2 - 9x + 2 on the interval [-4,2]. Find all local extrema,…

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Q: 7 Determine a value for r so that h(x) x + rx² – 7x has an inflection point at x = 5. 2 -- |

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

A: The function is given here, For maxima minima, So, the function has only one extrema in its…

Q: x*y"-xy'+y = 0 c) Y, = In x

A: Let's find.

Q: f(6) = 2sece+ tan@ 6 <8<8| %3D 7. Find all critical numbers of of the function

A: We have to find critical numbers for given function:

Q: Find the horizontal asymptote of f (z) = 8z-822-240z 3z-3z2-60z Section 3.4 Oy = %3D Oy = 4 Oy= Oy =…

A: Solution-

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

A: Consider the given function y=131-x2 It can be write as y=131-x12

Q: f (х, у) %3D у3 + 3x2у - 6х2 6y2 + 2 function is given. a)Find your critical points of f. b)Find all…

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Q: Find the linearization of y = eV3x at x = 64. %3D (Use symbolic notation and fractions where…

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

A: y=x-4x The domain of given function is [0, ∞). Differentiating with respect to x, we get…

Q: 12. Consider the function f(xx) = 2x² + y* + 4xy. %3D (a) Find the critical points for this…

A: Find the critical points of the function fx,y=2x2+y4+4xy

Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1.…

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Q: 3. Find the location and values for any global extrema of the function 1 f(x) = ³ – 2x° +5 %3D on…

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Q: f(x) = 3 x4-4 x3 -12 x2+1, has local minimum at x = OA. OB 2- OC. OD.

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Q: Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for…

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Q: hT指 Find all inflection points of the function S(x): S6)= In (x²-Zx+5)

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Q: In the function:  f(x)= (3x^2)ln(x) , x&gt;0 What are the x-coordinates of all local minima and…

A: Given:f(x)= (3x^2)ln(x) , x&gt;0

Q: (a) find the local linearization of f(x)=fourth root(x) at x=16 (b) Use the linearization to…

A: It is a linear approximation problem

Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

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Q: Find all the critical points for the function f(x, y) = x² + 8xy + 4y² +3. (Use symbolic notation…

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Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 12 over the interval [1,3]. [2 marks] %3D -

A: Given: fx=x2-3x+12 over the interval 1,3

Q: 3. Find the absolute maximum and the absolute minimum of f(x) = x-2 tanx on the interval [0,4].

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Q: A rectangular plate with an area of 36 cm? is to be produced on a lathe in such a way that the…

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Q: H.W/ using convolution theorem to find L-1

A: We have to find the Laplace inverse by using convolution theorem

Q: q Find a positive numbers x and y such that x²+y= 48 and their product P(xjy) = xy is maximized. %3D

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Q: Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for…

A: It is known by linear approximation that 1+xk=1+kx for the values of x near 0. The given function is…

Q: Find the linearization of y = ev7x at x = 16. (Use symbolic notation and fractions where needed.)

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Q: a) Find the extreme values of f(x, y) = x' + y' - 3xy +1 by using the Second Derivatives Test. b)…

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Q: 2. Find the absolute extrema of the function on the closed interval. f (x) = Vx – 2, [0,4]

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Q: 2 The function f(x)= (x² – 1) ³ , is decreasing on the interval (- 00,-2)U (0,2) AO (-1,0) U (1, ∞ )…

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Q: Find T; (x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T3(x) = %3D

A: f(x)=cos x at a=0, we have to find Taylor polynomial of degree 5.

Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

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

Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

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Q: Using incremental search with x1 = 1.5 and Ax = 0.01, %3D %3D approximate the solution of Inx = =…

A: fx=lnx - 2+xx1=1.5∆x=0.01tolerance=0.05----------------Find: To find 'x=a' such that fa = 0±0.05.…

Q: 2. Integrate the function (x+2/x)ax using multiple-application trapezoidal rule with n= 3

A: Trapezoidal Rule: ∫abf(x) dx≈∆x2(f(x0)+2f(x1)+ ... +2f(xn-1)+2f(xn))where ∆x=b-an

Q: 4) Activity 5: Check for Understanding ASSIGNMENT # 4: Find the root/s using 1) Secant Method and 2)…

A: Regula Falsi Method:  Step 1: xn = b-fbb-af(b)-f(a)Where, b &amp; a are initial guess, so that…

Q: Compare the graphs of y = Vx, y = Vx, y = x, y = x², and y = x' on the interval 0 < x s 2. Write a…

A: Differentiate the expression of the slope with respect to x. For any value of x in the interval…

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

A: given that  y=xx2+1

Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: 25 p1 3) Compute f(x)f'(x) dx where f(x) =x +2, using the Composite Trapezoidal 2 rule, your results…

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Q: 17. Find the decomposition of the function h(x)= Vx² - Jx two different ways. %3D

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