Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.) y = |x2 – 16| %3D y 15- 10- WebAssign Plot 5 X -6 -4 -2 4 6. 2.

Q: Find the point "P" on the graph of the function y=sqrtx closest to the point (10,0)  The x…

A: Let the point is (x,y)= (x,sqrt(x))Distance of (x,sqrt(x)) from (0,0) is D

Q: Analyze ( find the relative extrema, inflection points) and trace the curve y = x3 - 3x2 - 9x + 5.

A: Given function f(x)=x3-3x2-9x+5

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

A: Differentiate the function h(t)=tt+3 by using the property…

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

A:

Q: Identify the level curve of the function z(x, y) : In (æ? + y) for c = 8. Write your answer in terms…

A: To identify the level curve of the function zx,y=lnx2+y2 for c=8

Q: JA di is concave downward. Find the interval on which the curve x) - 6+ 8t

A:

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

A:

Q: C. The cost to maintain inventory for the weather balloons is given by C(x) 21,500 %3D + 2.4x ,…

A:

Q: 4 The function f(x,y) = corresponds to x² + y? plot [ Select ] level curve [ Select] >

A: Here, the given function is: f(x,y)=4x2+y2

Q: Sketch the graph and show all relative extrema and inflection points. y = 12x - x3

A: Topic:- function and application of derivatives

Q: The function y=(x-4)/(x+2) is discontinuous at x equals? O -2 O 1 O 2

A:

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

A:

Q: Describe the impact the a-value has on the following function: y = 3(x – 1)2 +1 %3D

A:

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: Identify the level curve of the function f(x, y) for c 8. x2 Write your answer in terms of y as a…

A: NOTE: Refresh your page if you can't see any equations. . the given function is here we have c=8 so…

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) < 0  at x = a

Q: 78. For what values of x does the graph of f (a) = x³ + 3x? + x + 3 have a horizontal tangent? %3D…

A:

Q: Donde the slope of the secant line between

A:

Q: Bonus) Find the equation of the secant line that passes through f(x) = -(x + 2)² at (2, f(2)) and…

A:

Q: Find the value of x for which the line tangent to the graph of f(x)=7/2x^2−5x+1 is parallel to the…

A:

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: z = x? + xy +y2 - y

A: Given  Z = x2+xy+y2-y                ..... ( 1) Differentiating equation 1 w r t x ∂Z∂x= 2x+y…

Q: The profit in dollars from the sale of x expensive watches is P(x)= 0.09x-3x+4x°4 -4400. Find the…

A: Given: P(x)=0.09x2-3x+4x0.4-4400

Q: Use the curve sketching procedure to analyze the function. a. y=x° +x? -20x

A: Y=x3+x2-20x

Q: a) Find and locate local extreme values off(x) = (x+ 1)^4−4x−2, (b) Then find the intervals of…

A: Given,            f(x) = (x+1)4 − 4x − 2

Q: Determine the value of x when the slope is its maximum for the function f(x)=2cos(3x)

A:

Q: Identify the level curve of the function z(x, y) = eV for c = 5. Write your answer in terms of y as…

A:

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: Q4:Find the relative extrema of f (x) I+3 I- 2

A:

Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: Sx² - 1, xs0 f(x) = l1 - x², x>0 x > 0 15 10 3. -10 -15

A: Given function is                                                           f(x)=x2-1   ;    x≤01-x2…

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: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

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…

A:

Q: Find values of f(x)=In(x+3)+3: domain? range? asymptote? y-intercept? x-intercept?

A:

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

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

A:

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

A:

Q: x+6 At what points is the function y = continuous? x-14x+48

A: If function f(x) is said to be continuous at x= a if f(x) is defined at x=a. limx→af(x) exist i.e,…

Q: Find any relative extrema. 3 f(x,y) = x° - 12x +y? °-12x + +y²

A: Given: Function f(x,y) = x3-12x+y2 To find: Relative Extrema of the function (if exist) Concept…

Q: Find the point P on the graph of the function y= sqrt(x) closest to the point (6,0)The x coordinate…

A:

Q: The shaded region shown below is bounded by the functions f (x) = -4x² + 9 and g(æ) = 3x + 6, the…

A: Question- The shaded region shown below is bounded by the functions f(x) = 4x² + 9 and g(x) = 3x +…

Q: interval

A: We have to find the increasing interval according to the given function

Q: According to a mathematical model of coughing, the velocity v, of the airstream is related to the…

A:

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

A: Given:- F(x) = 21/√x To find:-  (a) increasing (b) decreasing. (c) where the relative extrema occur.…

Q: The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is…

A: Since the function f is comprised of a semi circle  and piece wise linear segments.  Therefore it…