List the x-values in the graph at which the function is not differentiable. 2 3. x = 0, x = 3 X = 3 Function is differentiable at all points.

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

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Q: Find an equation of the level curve of the function h(x, y) = 3 – x2 - y? that passes through the…

A: Given that the function is      h(x,y) = 3-x2-y2 We have to find an equation of the level curve of…

Q: Consider the function below. f(x) = a° – 122? Find all the critical numbers. Give your answer as a…

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Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

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Q: Identify the level curve of the function h(x, y) = In for c = 6. Write your answer in terms of y as…

A: To identify the level curve of the below function for c = 6. hx,y=lnyx2

Q: The temperature of points on a plate x2 + xy + y? <1 is modeled by the function f(x, y) = 25(x² +…

A: Given: The temperature of point on a plate x2+xy+y2≤1 is model by the function is : f(x, y)=25 x2+y2…

Q: Refer to the following figure, which displays a right circular cone along with the formulas for the…

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Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

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

A: Consider the function g(x)=sec x on the interval -π6, π3 To find the absolute extrema of the…

Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

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Q: which shows the function f(x)=7x after a vertical translation down 4 units

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Q: Sketch the level curves of the function f(x, y) = y + x? for c = 3. 7- 5- 4- -6 -5 -4 -3 3 4 5 6 -2…

A: Solution ) f(x,y) = y + x2  f(x , y ) = c  y + x2  = c  y + x2 = 3  y = -x2 + 3 To find the vertex…

Q: How do you use the graph of f(x) shown to the right to find the following, if they exist. If a…

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Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: 4. Find the absolute extrema for the function f(x)= on the interval -5 ≤x≤0.

A: To find the absolute extrema of the given function in the interval [-5,0].

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

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Q: 3. Which interval of decrease is incorrect for the given function in each case? a) y = 5/x; (-00, +…

A: Given that:

Q: Find the absolute extrema of the function on the closed interval.                       y = 3 − ∣t −…

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Q: Q6. The price received from sales in OMR per unit is given by p=x +x+1. i. the revenue function, ii.…

A: This question can be solved using the concept of marginal revenue.

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

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Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

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

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

Q: d) For the function {: 1- a², x2, 0 1 i) Sketch the graph of f(x) ii) For what values of r, the…

A: follow next step

Q: 3. For what value of x does the graph of f (x) = e* – 2x have a horizontal tange

A: Solve the following

Q: Sketch the level curves when z = 5 and z = 8 for the function z = z + y? + 4. Hence, sketch the 3D…

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Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

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

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Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: Find the point P on the graph of the function y=√x closest to the point (5,0) The x coordinate of P…

A: Since, we have to find a point P on the graph of the function y=x -(i) closest to the point…

Q: Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a:…

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Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: 3. Use the graph below to write a linear function in y=mx +b form that relates y to x. -2+

A: We have to find the linear function in y=mx+b form.

Q: 01. What is the point of the minimum of the function y = 4x? + 4x – 15? А. (0.5,-16) В.(-0.5,-16) С.…

A: Given:- y= 4x2 +4x –15 Find the point of the minimum of the function Now, Let the point are (x, y)

Q: Determine the interval(s) on which the rate of change of the function will be positive. * y G1125,…

A: Rate of change of function is positive means slope is positive or in others terms ; interval in…

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

Q: -4

A: Function f is differentiable at x=a if and only if f'(a) exists. f'(x)= (2/5)(x-4)^(-3/5) f'(x) is…

Q: 3 In x x² x > 1 f(x) = 2 x² + 3 – 1, x <1

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Q: Q3) State the approximation for a differentiable function f(x): (a) V51 (b) V123 (c) (33)

A: (a) 51 Linear approximation is obtained as Lx=fa+f'ax-a Consider the function fa=a. On…

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

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Q: 6. Determine the inflection points and intervals of concavity for the function y= e2*

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Q: Let fx)=12– for x 2 0 and f(x) > 0 . 30. The line tangent to the graph of f at the point(k(k))…

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

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Q: Use the graph of y = f(x) to:Where does the relative maximum occur?

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 7)…

A: Consider the provided function and the point, fx=x2,  0,7 Find the points on the graph of the…

Q: At what point (x, y) is the function f(x) = 6x - 6 closest to the origin? Enter an exact answer.…

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Q: Find the locations and values of all relative extrema for the function with the graph below. Ay 10 Q…

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