2. For the function g(x) = -2x² a. vertex b. axis of symmetry c. root(s) ototion

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

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Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to…

A: maxima minima question, if it is helpful, like and thumbs up.

Q: what is the decreasing interval for the following function: y = -1/4x-5

A: The given function is: y=-14x-5 The function f(x) decreases when f'(x) < 0.

Q: For what values of x is the graph of y = re concave down?

A: Given function, y=xe-4x The graph of y=f(x)  is concave down on the intervals where  f''(x)<0 Use…

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

A: Solution:

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: Q2. A phone manufacturer finds that the cost in Omani Rials f of making x phones per day is given by…

A:

Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

A:

Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

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Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

A:

Q: snip

A: Consider functions g(x) ,g(x+a), and g(x-a). To get the graph of g(x+a) shift the graph of  g(x), a…

Q: For what value of x the function x2+y2 is minimum if x+y=20

A:

Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)

A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…

Q: 6. Dharma graphed the parent function f(x) = x and h(x) on the same grid. If h(x) is steeper than…

A: The function f(x)=x represents linear equation. So, the graph of f(x) should be a straight line. If…

Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

A: Consider the given equation as Hz=-4z+3

Q: How does the graph of f(x) = (+2)4 + 6 compare to the parent function g(x) = x*? X 6|个 + Source C…

A: Given query is to find the transformation applied.

Q: х3 — х2 — 12х x - - Sketch the graph of y = f(x) | ,2 x* - х — 2

A:

Q: For what values of the numbers a and b does the function f(x) = axeba2 have a maximum value f(2) =…

A:

Q: A D Function "p" is in the form y = ax2 + c. If the values of "a" and "c" are both less than 0,…

A:

Q: 13. For the function f(x) = (x – 2)² + 4 where is the function: a. increasing? b. decreasing? c.…

A:

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: What is the minimum of the function y = -a + 3x for a <-1? %3D -4 -2 04 O2

A:

Q: Use the graph of f(x) → 3x² to obtain the graph of h(x) =: 2.

A: Given :      f(x) = 3x2       h(x) = 1/3 x2

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: For what values of x is the graph of y=xe^(−2x) concave down?

A: Find first derivative using product rule and chain rule.

Q: Find the point on the graph of the function y = 4 - x2 that is closest to the point (0,2)

A: Find a point (x, y), closest to the function.

Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

A:

Q: 7. Use the graph of f(x) → 3x² to obtain the graph of h(x) =x² .2

A:

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

A:

Q: 16. Find the range of the function y = 1+ x2

A: Range: The range of the function is the set of all values of the dependent variable y corresponding…

Q: Given that a function y=x3, has a vertex at (-2,0), a local maximum at (-1,3), and a local minimum…

A: Given that a function y=x3, has a vertex at -2,0, a local maximum at -1,3, a local minimum at -3,-3,…

Q: Find the extreme values of the function x²y with respect to x + y = 5

A:

Q: Find the points on the graph of the function y = x^2 + 5 that are closest to the point (0, 3).

A: Here we can use application of derivatives ti find the closest point.  Here we want to minimise the…

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

A:

Q: Consider the following. 2 X- 3 x² - 3 x (a) Find the points of intersection of the curves. (x, y) -…

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

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Q: What is the easiest way to graph f(x)=1/1+e1/x?

A: Choose the some values of x and then find the values of f(x) for corresponding x values.

Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: Suppose that the graph of x = f(y) lies to the left of the y-axis. Is f(y) dy positive or negative?

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Q: 02. What is the axis of symmetry for the function y = 2/3 13x + 9| – 2? A. x = -3 B. x = 3 C. x = -2…

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Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

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

A:

Q: Sketch the graph of f(x)=(x+2)³/²+1 stretch vertically by factor of 3.

A: Given: The function is, fx=x+23/2+1

Q: Find the point on the graph of the function that is closest to the given point. f (x) = Vx - 3 (18,…

A:

Q: At which point is g(x) = 3x3 + 4x2 – 3x concave downward? (Refer to the graph of g(x) below.) 5-…

A:

Q: Use the graph of 5 x %3D x² + 4 to approximate the values of x that satisfy y > 1.

A: