10) Do the domain of the following functions. X-1 a) f(x)=es 1 -e&-3

Q: 1. Answer the following : 1 a. Find the domain: f(x) =+÷+ x+1 x+2

A:

Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

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: 3. Verify that the following functions are solution of one of the equations in part 1 and match the…

A:

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

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: I. Solve the following problems on functions. 1. If g(x)= v36 - x² , find g(0), g( - 3), g(=), g(2y)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The function f whose tangent has slope x3. +2 for each value of x and whose graph passes through the…

A:

Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: If f is a function defined by the equation y = f1x2, then x iscalled the variable, and y is…

A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

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

A:

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: 11. Suppose that the equation g(x, y, z) = 0 determines z as a differ- entiable function of the…

A:

Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as entiable function of the independent…

A:

Q: Given the function f(x) =4x³– 39x²+90x +2, which of the following describes its absolute extrema at…

A: Given that, The function is following, f(x) = 4x3 - 39x2 + 90x + 2 We have to find the absolute…

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

A: Domain

Q: Find the value of a that makes the following function differentiablefor all x-values

A:

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

A:

Q: Find the absolute extreme values of the function on the interval. 3) f(x) = In (-x), -5 s x s -1

A:

Q: Please

A: For concave downward, f''(x) &lt; 0 f(x) = (1-1/x)2 = 1 - 2/x + 1/x2 f'(x) =2/x2 - 2/x3 f''(x) =…

Q: Find the net change in the value of the function between the given inputs. f(x) = 4 - 5x; from 3 to…

A: To find net change in the value of function: f(x)=4-5x;from 3 to 5. Solution:…

Q: Apply the definition to differentiate the following functions: 1- y = ₁

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: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

A:

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: i Verify the domains and associated ranges of the following functions: a) y = v2 -x b) y = v2- x c)…

A: To find the domains and associated ranges of the given functions.

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: ii) h(x) = e values for the functions along the interva

A:

Q: Find the extreme values of the function x²y with respect to x + y = 5

A:

Q: Find the intersections between the two given functions algebraically. Correct answers without…

A: The two given functions are, y=x2-4x+2y=2x+1

Q: Q3. Discuss: max f(x), where f(x) = cos.x . (Start with a graph of the function, and confirm your…

A:

Q: Plot the following functions 1. y = - V2x + 1 2. y = (x- 1) + 2 3. y=-1 2x 4. y? = 6 -x 5. y = 1-…

A:

Q: If ɛ ER and the function f(x) = ex – 1+ x² is increasing x E R, show also that e >

A: Since f is increasing hence f'(x) &gt;0 for all x

Q: 7.) 2Ct f(xJ= x /メ+4 メ+5

A:

Q: Consider the tables of values for the two functions shown. y = g(x) -2 y = f(x) -2 1 1 2 1 3 -1 1 4…

A: Problem is of relation and function. First we'll calculate g(-1) value and then we will substitute…

Q: What is the mid-line of the following function? f (x) = COS (3x − 1) + 4 3 1/3 4 -1

A:

Q: Find the net change in the value of the function between the given inputs. f(x) = 4-5x; from 3 to 5

A: We want to calculate net change in given function from 3 to 5.

Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…

A: Given query is to find the value of a and b.

Q: Find the value of constant K that makes the function below continuous at x = 4. x2 - 4x X< 4 f(x) =…

A:

Q: For the function f(z) = ¹, the point z 1-e Z = 0 is

A:

Q: 14) What is the domain of the function f(x) E, ?

A:

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

A: our objective is to draw the graph.

Q: 1. Sketch the reciprocal of the function f (x) = x - 6.

A:

Q: he function f(x) = 5

A: Here we have to find the interval at which function f(x)=5x-ex is increasing.

Q: Differentiate the functions stated in questions 1 to 7 with respect to x. 1. y= 3x +2- Vr 2. y=e2r,…

A:

Q: 19. Find the absolute extrema of the function on the indicated interval. f (x) = xe-3x;[-1,2] хе

A: As a first step, we need to find all the critical points by equating the derivative of f(x) to zero.…