3. The horizontal asymptote(s) of f (x) = Vx² – 1- væ² +x.

Q: Find the absolute maximum value of the function y=xV3x-x² on the interval [0, 3].

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Q: Find the horizontal asymptote of f (x) = 8-822-240z 3z-3z2 60z Section 3.4 Oy = Oy = 4 Oy= Oy= 0 Oy…

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Q: Find a cubic function f(x)  = ax3 + bx2 +cx +d thathas a local maximum value of 3 at x =-2 and a…

A: At x=-2 , y=3  So,  at x=1, y=0

Q: 4. Determine the constants a, b, and c so that the curve defined by f (x) = ax³ + bx² + c will have…

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Q: local minimum

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Q: 3:- Find the maximum value of the function f(x, y) = x²y on the line x + y = 3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: consider the function f(x)= xe-4x,t) , 0≤x≤2. and an absolute maximum value equal to:  which is…

A: Given: fx=xe-4x, 0≤x≤2

Q: 4. Determine the maximum point of the the graph of y = 12 sin(π – 2x), for x = [-T, T).

A: Given:         y=1-2sinπ-2x     To get the maximum value of the function the derivative is equal…

Q: The absolute maximum of f(x) = 3 x3 -2x On [-1,8] is y= OA 0. OB 5 OD A-

A: For Maximum value of f we need to get the respective value of x by differentiating the function and…

Q: G&)= In (5x t10) + 1, 1 State and domain, vertical asymptote end behavior. As approches vertical, Gx…

A: Let G(x)=ln(5x+10)+1.1 The domain of the function is the set all x-values on which the function is…

Q: Find constants a and b in the function f(x) = axeb" such that f(-) = 1 and the function has a local…

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Q: find the horizontal asymptotes of the function by computing the limits at infinity.

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Q: 8. Find the extremum and saddle points of the function f(x, y) – x3 – 3xy + y3 if any.

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Q: Q1- Find any local maximum and local minimum values and sketch the curve: x? + 1 f(x) = x2. - 1

A: Given that  f(x)=(x^2+1)/(x^2-1) To find the local maximum and local minimum

Q: 27The platis that passes through the e Point C672) and contains the lihie メー4-2t)X= 345t) Zと+4t 4. こ

A: We have to find the equation of the plane which passes through the given point and contains the…

Q: 3. Iff has a local maximum at x – 1, then what can you say about f'(1)? What if you also know that f…

A: Given: The function fx has a local maximum at x=1. First derivative test: Let f be differentiable…

Q: Q2/ Find the orthogonal trajectories of the family of curves x-y - c² YAS

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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: Give an example that: the function f has a local maximum at x = 1/2, but it is not differen- tiable…

A: Consider the function:

Q: At what value of x is f minimum?

A: To find: The value of x for which f is minimum. Calculation: It is observed from the graph that the…

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: Consider the graph of f'(x) = . At what value(s) of x does f(æ) have a local maximum? y4 4. 3 2- -1+…

A: f(x) will local maxima or local minima at the points where f'(x)=0 Maxima points: points at which…

Q: ) Because f(-1) and f' changes from negative to positive at x = f(-1) = -7e-1 is a local (and…

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Q: Find the horizontal asymptotes of the function by computing the limits at infinity.

A: Givenf(u)=8u-316u2+6

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: Select ALL horizontal and vertical asymptotes if the exist (0/10 Puan) f (x) 3x+2 (x-1)(x+5) !! U x…

A: Given  f(x)=3x2+2(x-1)(x+5)

Q: Q3) Find the minimum of the Brown's badly scaled function using Powell's method. f(x) = (x₁ - 106)²…

A: We will use the basic knowledge of partial derivatives and differential calculus to answer this…

Q: Let f(x) = (2x+1)/(x+1)2. (d) Determine the horizontal asymptote(s) of the curve y=f(x) (if any).…

A: When f'<0 then function decreasing When f'>0 then function increasing

Q: for the funciton f(x) = x^3 - 75x Its local maximum  is____, which occurs at _____> Its local…

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Q: 13.Find a sinusoidal function with a maximum value of 9 that occurs at x=4 , and a minimum value of…

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Q: 1 Find the length of the curve f(x) + from x = 2 to x = 4. %3D 6. 2x

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Q: 212 – 9z +4 - Let f(z) %3D 3z2 + 7z +2 This function has: 1) Ay intercept at the point 2) x…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Find a root of an equation f (x) = 4.15x3-2x+5.15 using Incremental search method at a step- size…

A: Given: f(x)=4.15x3-2x+5.15, a=-2 and b=-1 To find: Root of a given equation by Incremental search…

Q: Can you help with this problem step by step?

A: Given: -

Q: The function f(x, y) = -2x² + 4y² - 12 has a local maximum at the point (0,0). Select one: O True…

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Q: 1 - X 0 3

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Q: V Solve usıng variaton of parameters or reduction of order (D²+1) y = tan

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Q: 2) Find the absolute minimum value on (0,∞ ) for 4 f(x)= 5+x+

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: 8. Determine a quadratic function f(x) = ax² + bx + c if its graph passes through the point (2,22)…

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Q: 3z + 8z – 3 Let f(z) 272 + 7z + 5 This function has: 1) Ay intercept at the point 2) x intercepts at…

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Q: f has relative maxima at x = and x = f has an absolute maximum at

A: Given that : Graph of the function f on [ 0, 28 ]:

Q: 5x−12/x^2−x−42 has vertical asymptote(s) at x=

A:

Q: Determine the values of constanas a,b,c, and d so that f(x) = ax^3 +bx^2+cx+d has a local maximum at…

A: Given that f(x) = ax3 +bx2 + cx + d has a local maximum at the point (0,0) and a local minimum at…

Q: (2x - 2 x² - x f(x) = x² 4 graphing calcu x 2 x = 2

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Q: For what values of a and b does f(x) = a(x- bln a) have a local minimum at the point (2, 5)? Figure…

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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: Find the extremum and saddle points of the function f(x; y) = x^3 -3xy + y^3 if any.

A: we use second order partial derivative test to find out minimum, maximum and saddle point

Q: Find the absolute maxima and minima of the function on the given domain. 6) f(x, y) = 6x + 5y on the…

A: f(x,y) = 6x+5yfx(x,y) = 6     fy(x,y) = 5  (Hence No critical points of the function itself)Lets…

Q: Find the absolute maximum of h(x)=x2 −x−2 over [−3,6]. Enter only the y-coordinate of the maximum.

A: Determine the  derivative of the function  and find the critical points.