Use any method to find the first 4 nonzero terms of the function f(x)=, (1+3x)² Simplify the terms. %3D

Q: Differentiate the function. G(x) = {/,? + 2x G'(x) = D

A: The given function is Gx=x7+2x4. Obtain the derivative of Gx=x7+2x4 as follows.

Q: Evaluate the function f(x) = 250e0.05xat the given value of x=20. Round your result to three decimal…

A:

Q: 1. Let g(x) = x° - 5x +2.

A: Given that: g(x)=x2-5x+2

Q: hC Given the function

A: Given,         h(t)=-2t+1ift<βt2+1ift≥β

Q: Find the domain and range of the function

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Q: Find f''(x) (second derivative) of f(x)

A:

Q: 2x? + ху? %3D 1

A: Given function is 2x2+xy2=1. BY product rule of differentiation, we have ddxuv=uddxv+vddxu…

Q: Consider the function: f(x) = 5x³ – x² + 6x Step 1 of 2: Find f "(x). Answer f"(x) =

A:

Q: Q3:-Find domain and range for the following functions? 1) f(x) = 2) f(x) = {* fx + 2, -1<x< 0 x,…

A: Domain :- all the value x for which f(x) is defined  Range :-  all the value of f(x) with  respect…

Q: Find the function f if you know that f"(x) = -2 + 12x – 12x? and f(0) = 8, f'(0) = 14 %3D %3D

A: Given : f''(x) = -2 +12x - 12x2  , f(0) = 8,  f'(0) =14   To find : Function f ?

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

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Q: 2x Use the function f(x) to answer the following questions. x² +2

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Q: *Using the function below, find f(6). f (x) = 12 - 3x

A: The given function is as follows:fx=12-3xTo find f(6)

Q: Evaluate the function f(x)= -2x+8 at the indicated values. a) Find f(3). b) Find f(-2).

A:

Q: Q:If 2y 2x2-8x + 32 , find the following: - a) Show that the function is inverse function? b) Domain…

A: In this question, we need to check whether the function is an inverse function and then to find the…

Q: 2x2 Give the function f (x) = 2x ,find f =) x -1 x- 1

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Q: Find functions f and g so that f • g = H. 73) H(x) = (5 – 2x3,2

A: Given H(x)= (5-2x3)2

Q: Find an equation of the line passing through the given points. Use function notation to write the…

A: Follow next step

Q: Q2// Find domain, range and sketch the following function : |x+ 2||

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Q: Determine whether the following function is odd or even. Show solutions  f(x) =5x³-7x

A: Given that, the function is f(x) =5x³-7x To Determine whether the following function is odd or even.…

Q: Find two numbers whose sum is 56 and whose product is as large as possible. [Hint: Let x and 56 – x…

A: using double derivative test to get numbers'

Q: How many x-intercepts would the function shown below have? f (x) = –2x(x² + 4)(x+9)(x² – 2)(x + 9)…

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Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2) . ƒ(x) = -6x1/3

A: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2) . ƒ(x) = -6x1/3

Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2) ƒ(x) = 4x3 + 5x2 + 6x - 7

A: The given function is fx=4x3+5x2+6x-7. Obtain the second derivative as follows.

Q: Find f ° g ° h when:  f(x)= 1/x     g(x)=x^2.    h(x)=x^3+2 You do not need to simplify your…

A: Topic  =Functions

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

A:

Q: Use a calculator to graph f(x). Use the graph to solve f(æ) > 0. x – 1 f(æ) = (x – 4)(x – 5) %3D…

A: The given function  f(x) = (x - 1)/[(x - 4)(x - 5)]

Q: Find the domain of the function f(x) What is the only value of æ not in the domain? %3! 3x + 7' Only…

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Q: If g(x) = 17, find x

A: Given g(x)=|-3x+161|

Q: b) Find out whether the following functions are odd, even or neither: i. 2x-5x+7 ii. x'+x*

A: Given:i. 2x5-5x3+7ii. x3+x4

Q: Find the difference quotient.  f(x)=square root of x-3 (f(x+h)-f(x)/h)

A: Given          f(x)=x-3

Q: Find the domain of the following function. Write your answer in interval notation. j(x)=3(2x)

A: The function is given by jx = 32x To evaluate: The domain of the function.

Q: = I + 4x

A: Consider: fx=x2+4x-2. Evaluate f-1. Substitute x=-1 into fx=x2+4x-2. f-1=-12+4-1-2

Q: Classify the functions as even, odd, or neither.

A: If f(-x) = -f(x) , then function is odd. f(-x) = f(x) , then function is even.

Q: Write the formula for the derivative of the function. g(x) x2 g'(x)=

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: fex)= x?-4; f(x+3)

A:

Q: How many x-intercepts would the function shown below have? f (x) = 3x(x + 4)² (x² – 7)(6x + 1)(x² +…

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Q: Determine where the given function is increasing and where it is decreasing. f(x) = x?(5 - x)2

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Q: find f( a + h) - f(a) for the function. simplify answer  f(x) = x^2 - 15x + 10  f(a+h)-f(a) = ?

A: Given f(x)=x2-15x+10 To find f(a+h)-f(a)

Q: How many inflection points does the following function have?   y = x+1/ x^2-3x

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Q: solve for y to determine if y is a function of x. If it is, express it using function notation. What…

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Q: Find the x-intercepts and y-intercept of the following function. f(x) = (x – 5) (x – 3) (4x + 8)…

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Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: f(a)'() マxtる %3D

A:

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

A: a function f is concave upward if. f''(x)&gt;0 and concave downward if. f(x) &lt;0          As per…

Q: Find the function value. Let f(x) = 5x. Find f( 2)

A: Given,           fx=5x

Q: f (x) = x³ + 2x² + 50x + 7

A: