Find the domain of the function f(x) = V15x – 3. %3D - (Write the domain in interval notation.)

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: (d) Find the interval(s) where f(x) is decreasing.

A: There are mainly two ways roughly by which a function's behavior can be obtained and first method is…

Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

A:

Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

A:

Q: f = y/x

A: Given function f=yx The gradient of the function f(x,y) is given by ∇f=∂f∂xi^+∂f∂yj^.

Q: find the value of the constant ( a, b, or c) that makes the function continuous.

A:

Q: Juanita wishes to have a rectangular garden in her backyard with an area of 64 ft2. Letting x denote…

A: we know that area of rectangle =  length × width

Q: Sketch the graph of the function. f(x, v) = y? + 7

A:

Q: Where is the function f(x) =| x | differentiable?

A: Given information: fx=x The function, after removing modulus function, y=x=x,      x>0=-x,…

Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x<54x+2c      for x≥5 we have to find the value of c…

Q: Find domain and range F(x,y)= Vx-1

A: Since you have asked multiple questions in a single request, as per policy, only the first question…

Q: 1. Plot the function f(t)= (x+5) for -35 x 3. 4+3x2

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

Q: determine the slope function S(x) for f(x)= lxl

A:

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: The cube root parent function y = Vx has been transformed a) 2.

A: given graph

Q: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

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 area of a triangle bounded by the y axis, the line f(x) = 10 1 and the line perpendicular…

A: A triangle bounded by the y axis, the line f(x)=10-13x, and the line perpendicularto f(x) that…

Q: Find the point on the graph of the function that is closest to the given point. f(x) = /x, (3, 0)…

A: Given, y = f(x) = x Let's assume the closest point to (3,0) will be (x, y) then (x,y) = (x, x)…

Q: y = V4x3 –6

A:

Q: The range of the finction f (x, y) = lIn(-x²- " + 1) is (0: +00)

A:

Q: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: Differentiate the function. f(t) = 7 - 글

A: We have to differentiate of the  function

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 less than or equal…

A:

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

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: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

A:

Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

A:

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 &lt;= x&lt;= pi .…

A: The given interval is [0,π] So, a=0, b= π

Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: 40 Use the table to estimate f(x)d=

A: Given,     x 0 10 20 30 40 f(x) 330 410 430 460 490 To estimate :              ∫040f(x)dx=?

Q: For what x-value is the function y = |x+5| not differentiable?

A:

Q: y = Va+1-3

A:

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

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Q: Use the implicit to find the slope dx of the given function y2 - x3 = 41 at (2,-7)

A:

Q: Find the interval on which f(x) =x'e is increasing.

A: We find f'(x) using the product rule

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

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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: Use Desmos to graph 1) y= Vx, 2) which is -f(x) 3) which is f(-x)

A: Hello! Thank you for the question. We will answer the first question since the exact one wasn't…

Q: 1. Plot the function f(t) = (x+5) %3D 4+3x2 for -35 x 5.

A:

Q: Graph the function as a solid curve 1) f(x) =극지•3

A: We have to graph

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: Find the average rate of change of f(x)=9x2−8 on the interval [4,b]. Your answer will be an…

A: Given function , f(x)=9x2-8 on the interval 4,bThe average rate of change of fx=9x2-8 is in…

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

A:

Q: yA y = f(x) 10 х

A: Here there are multiple questions and we are doing first only as per our guidelines. Consider the…

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

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.…