Are the following functions invertible? 1. f(x) is the volume of æ kg of water at 4 degrees C. Is this invertible? ? 2. f(w) is the cost of mailing a letter weighing w grams. Is this invertible? ? 3. f(t) is the total accumulated rainfall in inches t minutes into a sudden rainstorm in July, 2005. Is this invertible? ?

Q: Consider the following function. f(x) = -x2 - 14x – 2 Find its average rate of change over the…

A: We have  fx=-x2-14x-2 Find the average rate of change of function fx over an interval a, b=-7, 1 is…

Q: Differentiate the following function. y= Vx+ 1 (4x + 1)2

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Q: Find the domain of the function. f(x) = ln ( 1/ (x + 1)

A: f(x)=ln1x+1

Q: 3. Find the domain of the following functions: 1 a) f(x,y) = x²-2xy+y? x+y b) g(x,y) = log(x-y)…

A: The domain of a function is the complete set of possible values of the independent variable. The…

Q: The function f:R→R defined as fW)=log_lV\x²+1+x+VVx²+1-x) is

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Q: The finance department of Tayitu Company conducted a study of their weekly sales in the past years,…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the weekly sales at…

Q: Plot the function f(1) for -10 <xs 10. %3D 1+e5.5 – 1.5x 20

A: Graph of any function can be plotted by joining the points from which the function passes. So to…

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: Let f(x) = log2 (4x-x²)+2x. At what point is the tangent to the curve y = f(x) perpendicular to the…

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Q: Find the most general antiderivatives of the following functions. ƒ(x) = x² + 2x + 3

A: GIVEN: f(x) = x2 + 2x + 3

Q: This does not make alot of sense. If applying the definition how does the e^-st get moved outside as…

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Q: Evaluate the function f(x) = log,x at x = 27 without using a calculator. %3D

A: Given that

Q: h) f(x) = e4sin(5z+2)

A:

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: Consider the function below. Approximate f(1.99) using a linear approximation. f(x) = 2x³ – 4x² – 3…

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Q: The following are functions that can be best integrated using Power Rule, EXCEPT 2 a. S Vx² dx. b.…

A: Part (a): Given,

Q: Find the net change in the value of the function between the given inputs. g(t) = 1 - t2; from -2 to…

A: gt=1-t2 Now, g-2=1--22=-3 &amp; g5=1-52=-24

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

A: (1) Given functions are  f(x) = (2x2-1)(x2+3)x2+1  and g(x) = (x2+8)7(2-3x2)5

Q: Differentiate the following function. f(x) = e 3x +5 d (e 3*+5) dx II

A: The Chain-Rule of derivative states that ddxfgx=f'gx·g'x.

Q: 12.x + 5x2 + 1 11. Determine the horizontal asymptotes of f(x): V16.x6 +6 1 12. Use the definition…

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Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

A:

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: Find the linearization L(x) of the function at a. f(x) = x3 − x2 + 9,    a = −2 L(x) = ?

A:

Q: Find the real and imaginary parts of the Following functions z+1 ?

A: To find real and imaginary parts of the function fz=z+1 Let  z=u+iv fz=x+iy So, the real part of fz…

Q: Find the domain of function defined as follows. y = ln(x + 7)

A: Given       y = ln(x + 7)

Q: The derivative of g(x) = (1/2)* is: positive for all x O negative for all x negative for x >0 and…

A: Given function is gx=12x  ....1

Q: Consider the following function. f(x) -x2 - 10х - 9 Find its average rate of change over the…

A:

Q: I. Differentiate the given functions: 1. f(x) = 3e* – 9* 2. f (x) = In V6x +7 3. f(x) = x²e* %3D

A: Solution:Given : 1. fx=3ex-9xlet f1(x)=3ex and f2(x)=9xtherefore f'(x)= f1'(x)-f2'(x)f1'(x) = 3ex…

Q: Differentiate the following function. g(x) = (t +5) dt %3D

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Q: The weight w(x) (in pounds) of a particular fish that is x inches long can be estimated by the given…

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Q: Let g be the function given by g(x) = C (2 – 5t – 14) dt. What is the x-coordinate of the point of…

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Q: 18. y=(5x-2) (x+3)

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: 6.The parent function f(x)= /x is translated 2 units right, compressed vertically by a factor of 2,…

A: Find the solution below

Q: Express the piecewise function into heaviside function. t3 0 <t < 2 ft 2t t < 2 O a.…

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Q: Differentiate the following function. f(x) = - 2 e 4x d (-2e **) =D - 2 e 4*) %3D dx

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

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Q: Find the most general antiderivative of the following function. g(x) = = - (1+ a²)-1

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Q: function. (If an answer does not exist, enter DNE.) g(x) = 3x4 − 6x3 + 1 smaller x-value (x, y)

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Q: Determine if the following functions grow faster, slower, or at the same rate as the function 4x as…

A: Given a function f(x)= 4x^2  Part a) To find the function grow faster slower or at the same rate as…

Q: of the functions f(t) = e² implified.

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

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

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Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: In a certain state, the sales tax T on the amount of taxable goods is 5% of the value of the goods…

A: here T is taxable  value on purchase  x is purchase value and T = 5% given  further calculation…

Q: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=700e0.24t…

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Q: The antiderivative of the function f(x) = .3+9x is

A: find the anti derivative (integral) of fx=56 .3+9x3

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: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=1000e0.2t…

A: