2. (a) (5 points) Let f(x) = Vr +1 and g(x) = x² + 2x. Find (f o g)(1) and (go f)(1). %3D %3D 1+ x (b) (5 points) Find the inverse of the function f(x) 1-x

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Find the oblique asymptote of 2z2-9z+15 f (x)= I-5 Section 3.4 O y = 2x + 1 y = 2x-19 O y = 2x- 9 O…

A:

Q: Find the local and absolute extremum for the functions over their domain: x²+2x-3 4. f(x) : x-2 ||

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Q: 19. DETAILS LARAPCALC10 2.6.030. Find the higher order derivative. f"(x) = 6x2 + 3x - 14 %3D F(5)(x)…

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Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: Find the critical points of the function f(x)=2x^2−4x.

A:

Q: Find the value of constant K that makes the function below continuous at x = 2. -2x X < 2 X-2 f(x)…

A: Given,           fx=x2-2xx-2 ; x&lt;2kx-3 ; x≥2

Q: If the critical point of the function f(x.y)-x- y- 2xy +6 is (0.0). test this point whether it is:

A: We use second order partial derivative to know about critical point behaviour

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: given S'x=150-x2C'x=x2+114x where S'x is the rate of annual saving and C'x is the rate of annual…

Q: 4.8 The derivative of f(x) = 1/(1 – 3x) is given by %3D 6x (1 – 3x)? Do you expect to have…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the critical point for the function f(x)=-x² +3x+1

A:

Q: If f (x) = x* and g(x) = x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule %3| multiplies…

A: It is given fx=x4, gx=x3, f'(x)=4x3 and g'(x)=3x2.

Q: find all critical points of the function. f (x) = x2 − 2x + 4

A:

Q: Activity #2: Differentiate the following functions. 1. f(x)= -3x² - 4x + 12

A: This question is taken from Derivative in which we have to find the derivative of the given…

Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

A:

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

A:

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

A:

Q: 1. Come up with the equation of any function f (x, y) satisfying fx = x + y and fy = x + 3y³

A: The objective is to find the function f(x,y) satisfying fx=x+y and fy=x+3y3 Now take, fx=x+y Now…

Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: 7) Find the difference auotient. f(x+h)-f(x) for the function, f(x) = x² + 3x - 4.

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Q: Consider the function f(x) = - 2x + 24x2 42x +4. %3D - Find the critical points.

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

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: Let f(x) be a polynomial and g(x) = f '(x) be its derivative. If the degree of (f(x) + f(-x)) is 10,…

A:

Q: n olive oil producing company is the only applicant for cultivated olives. The firm behaves as a…

A: An olive oil producing company is the only applicant for cultivated olives. The firm behaves as a…

Q: Find the streamlines corresponding to: f(z) = z²

A:

Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: Q8: Calculating Derivatives from the Definition. f(x) = x2 – 3x - 1 %3D

A:

Q: 2 If f(x) = 2x- kr has a relative maximum at r = -2, then the value of k is %3D

A: Note :-  If f(x) has relative maximum at x=a then f'(a) =0.

Q: Example 2: Evaluate numerically I= f fxye dydx.

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Q: Find the linearization of the function f(x) = 1/(9x+8) at x = -1.

A: Topic : function

Q: Find the net change in the value of the function between the given inputs.39. f(x) = 3x - 2; from 1…

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Q: Determine all the critical points of the function f(x) = 3xe3*

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Q: Q3) Draw the following functions: (2-2x, x 3 1)f(x) 2)y = -sin 3

A: 1)

Q: f and g are functions of time, and at time t = 3, f equals 9 and is rising at a rate of 2 units per…

A: It is application of derivative.

Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

A:

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

A: Given:

Q: Sketch a graph of the function f(æ) = – sin(x). -T/4 T/4 /2 3n/4 5t/4 3n/2 元 7/4 -1

A: Given: A function, fx=-sinx. -sinπ4 -32 -sin0 0 -sinπ2 -1 -sinπ 0 -sin3π2 1 -sin2π 0…

Q: Find the critical points of the function f(x)=x2−4x+3x−2.

A:

Q: 1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

A:

Q: 2 Sketch a graph of the function f(x) = 2 sin (-) 6+ 4 2 -8 -7T -6A -5T -4T -ŽA -2T 2π 3π 4π5π6ππ.…

A: To graph y=2sin(2x/3)

Q: Q3) Draw the following functions: (2-2x, x 3 1)f(x) = 2)y = -sin 3

A: Given: The functions are given as 1) f(x)=2-2x,x&lt;-14, 2x-2-1≤x≤0x&gt;3 2) y=-sinπx3   To graph:…

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k&gt;-1

Q: n x(0)=0

A:

Q: Find f(4) using forward, backward and central difference of: (3 – 2x)² f (x) : |- x2 Step size = 0.2

A:

Q: The critical point(s) of the function z= 2x²-4xy-2y²+3x-7y+6 is/are...

A: In this question, we need to find the critical points of the function z = 2x2-4xy-2y2+3x-7y+6.