If the domain of the function y = f(x) equals (-1,5] U [8, 10], what is the domain of the new function y = 5f(x + 3) – 20? Explain.

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

A:

Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

A: we have to check

Q: Find the point of diminishing returms (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: B. Find and classify the extreme points of function f(x, y) x* +y-4xy-1.

A: Maxima minima of two variables function

Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: f(r) = 2r² - e² %3D

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range

Q: 1. What does it mean to say that the equation +y 6ry defines y as an implicit function of r? %3|

A:

Q: Find and classifythe extreme Point of the function f(x,y)= 3yx+x -3*2

A: Given function,  fx,y=3y2x+x3-3y3-3x2+2 Partially differentiating w.r.t. 'x' to both sides-…

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: Examine the function f(x, y) =-3x-4y+15x - 16y + 6 for relative extrema.

A: Here we have to find relative maximum.  The solution is in both 1st and second steps.

Q: Find the graph of the function f(x) = [x] + [x/2] from R to R.

A: Given function is fx=x+x2. Definition: Floor function is the greatest integer that is less than or…

Q: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: Find the points of inflection of the function f(x)=e−x2.

A:

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

A:

Q: 1. Find the intercepts of the function. f(x)-x* +2 а.

A: Given data÷

Q: 2. Use the graph of the function f(x) to estimate where (a) f'(x)= 0, y f(x) (b) f'(x) 0.

A: (a) f'(x) =0   => the slope is zero, it means when the graph is parallel to x-axis  i.e. at…

Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

A:

Q: y = V4x3 –6

A:

Q: Sketch the domain of the function.  f (x, y) = 12x − 5y

A: Sketch the domain of the function.  f (x, y) = 12x − 5y

Q: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

A:

Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: X- e.

A:

Q: From now on consider the function f(x, y) = e$n(x) y.

A: direction of fastest increase is along the gradient vector  Given f(x,y)=esinx y

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

A:

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x<0 Thus, the left hand…

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

A:

Q: f(x) = 4x^2-12x+7   how is this function concave wherever it is defined?

A: Given:

Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…

A:

Q: 6- For the function y=lnx a- Describe what type of function it is. b- How is the function related to…

A:

Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

A:

Q: Find the lineearization L(x) of the function f(x) = x^3/4 at x = 16.

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: Find the following characteristics about the linear function 2 f(x) = ²/x + 18 x-intercept:…

A:

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

A:

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: Find the inflection point(s) of the function f(x) = 3e¬x. %3D (х, у) %3D (smaller x-value) (х, у)…

A: Given,  f(x)=3e-x2

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

A: our objective is to draw the graph.

Q: x², -2sx<1 (x+1, 1sx<2 For the piecewise-defined function f(x) = }

A: fx=x2,-2≤x&lt;1x+1,1≤x&lt;2

Q: The domain of the function f(x, y) = 3x + xy + 5y? is R.

A: We have to verify that the domain of the function fx,y=3x+xy+5y2 is R or not.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given Data: The revenue function is: R(x)=11000-x3+42x2+700x Interval: 0≤x≤20 The diminishing return…

Q: For the function y = (f ¹)'(-4)= f(x) = x² + 4x - 3, x ≥ - 2, find df-1 dy y=-4

A: Introduction: For a function y=fx, its inverse function is represented as x=f-1y. It is not…

Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.