Describe the interval on which the function below is continuous. X +4 f (x) = Vx %3D 10 y. 4. 21 B. 10 2,

Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: An estimate value of f(x) dx is 10 using trapezoidal 2 - interval rule. W is an estimate value of…

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Q: For Exercise, refer to the functions f, g, and h defined here. f(x) = -x + 3x 8(x) h(x) = Vx + 2…

A: Given: Formula used:

Q: What is the range of the function y = cos™+(x +1)? 0(-2,0] o [0, r] T O (0, T)

A: The range of basic inverse cosine function is 0≤cos-1x≤π. The range of y=cos-1x+1 is also…

Q: 2² – y? a² + y? f (x, y) be the function (x, y)) # 0 and f(0, 0) = 0 if f is differentiable in…

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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: 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: E- Find the extrema of the function f:RR, f(x)= +*; +X;X Determine x + x the nature of the extrema…

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Q: The average rate of change of the function f(x)= 4x² + 6x on the interval [1, 3 is %3D 14 22 18 28…

A: here option a is true  because average rate of change is given by on doing differentiation that is…

Q: Find the function y(x) satisfying dx2 = 12 - 12x, y'(0) = 5, and y(0) = 8. ay = 12- 12x, y'(0) = 5,…

A: an initial value problem  is an ordinary differential equation together with an initial condition…

Q: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: For Exercise, determine the average rate of change of the function on the given interval. m(x) = Vx…

A: The average rate of change formula in the interval [a,b] is: a) We use the formula with a=0 and b=1…

Q: Use the linear approximation of f (x) = /x at x = 9 to estimate the value of V9. 06. Do not round…

A: Linear approximation: - The equation of a tangent line provides the basis for the linear…

Q: Find the absolute extrema of the function on the closed interval.                   h(x) = x − 3√x,…

A: The given function on the closed interval [0,9] is

Q: at what points of R ^2 is the following function continuous? p(x,y)=(19x^4y^3)/x^4+y^4

A:

Q: H.W Is f (x) = x. |x| differentiable function? %3D

A: To find  f(x)=x|x| is differentiable function or not.

Q: r(y) = Vy? – 6y ,2 бу

A: Consider the given function as ry=y2-6y5 Simplify as ry=y2-6y15

Q: The function below is an evaluation of which integral? * 3 (z° + 16) +c 48x3 Vo2 + 16 dæ 16 da…

A: Since you have Posted multiple questions as per guidelines we can solve only one question at a time,…

Q: x²-y² x²+y2 (x, y) = (0,0) For which value of "a" the function f (x,y) is continuous? (x, y) = (0,0)

A: Continuity.

Q: uppose ſ, f (x)dx = 8, f(x)dx = 10 , §' g(x)dx = 4 , fó g(x)dx = %3D %3D %D ind : f (x)dx 4 [f (x) +…

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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 thie avevage rate of change of flal with espect to x on the interval. F(x)=x² -5;[-4.0]

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Q: What is the closest value to the instantaneous function at x = 2? f(x), 2x-1 3x+1 O_1 49 O. 49 1 49

A: A function f is said to be continuous in the open interval (m, n), if it is continuous at each point…

Q: d y is a function of tin

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Q: ind the local extrema of the function f(x,y)=e* (x² – 2y²) x-y

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Q: At what points are the functions continuous?

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Q: Q/ if fx(x)= x and (g) is function of R.V X find the PDF of g(x)= X² ?

A: # Given: pdf of random variable x is f(x)=x  then to find pdf of y=x^2 ?

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: State the interval(s) over which the function is (a) increasing (b) decreasing (c) constant

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Q: Use the table of values to find the lower and upper estimates of 0/16 f(x)dx Assume that the…

A: We will use the Riemann Sum to evaluate.

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

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Q: What is the average rate of change for the function f(x) = = - x2 + x- 5 over the interval 1 < x <…

A: Topic-average rate of change function

Q: f(x, y) = e* (5– 2x+y)

A: Introduction: Like a single variable function, a multivariable function also does have extremum. In…

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

A:

Q: Use the function f (x) = 2* to answer the following question. %3D Over which interval is the average…

A: Given fx=2x

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

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Q: 1 Is the function given by f(x) = ) 5x+1, for x s5, continuous at x= 5? Why or why not? %3D 5x- 19,…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: The function 5· x. y g(x, y) -20 · y + 2· x + 6 is continuous everywhere on R? except on a line I in…

A: The given function is: g(x,y)=5xy-20y+2x+6...(1)

Q: Sketch the level curve of the function f(x, y) = x² + y? 2 for c = 1.

A: Level curve:  The level curves of a function f of two variables are the curves with equations f (x,…

Q: 5. approximate the number V0.9. Find the linear approximation of the function f(x) = v1 – x at a = 0…

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Q: Find the R.M.S. value of Jlogx over the range x = 1 to x = e.

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Q: Test the following function for relative extrema. S(x, y)-+y -2x +2y-2xy

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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: 2. Sketch the graph of the function (a) f(x, y) = Vr² + y? (b) f(x, y) = Vx² + y? – 1 %3D

A: Given a. fx,y=x2+y2b.fx,y=x2+y2-1

Q: Consider the following table of values for the function f (x) = Vx - 2. %3D Point f(x) A -2 -3.26 -1…

A: The table of the values for the function fx=x3-2 is To evaluate: The average rate of change over…

Q: Let f(z) 1+ | Interval of increase of f(x) is -

A: