(* -) dz if y = Find the particular solution for dy = when x = 0. | x +1 Answer and Work Explanation of Work

Q: 7. Find the average rate of Change of f(x) = 2x2-7 on the interval [2, 2 + t].

A: Consider the given function, fx=2x2-7 At x = 2+t, f2+t=22+t2-7=24+4t+t2-7=8+8t+2t2-7=2t2+8t+1 At x =…

Q: y=h(x) -2 -1 -1 Identify all values of c for which h' (c) = 0. %3D Review: Quick Vocabulary: Flat…

A:

Q: Find the points on the graph where the tangent line to the curve (x2 + y²)² = 10 (x² – y²) + 8 is…

A: The given curve is, x2+y22=10x2-y2+8 The graph of this curve is as follows,

Q: The acceleration of a moving body is given by the function a = 6t +4. If the velocity after 4…

A: Given, Acceleration of the body  a=6t+4 Velocity after 4 seconds = 70m/s Displacement in that time =…

Q: Consider the following. f(x) = (a) f(x) = −4x³ + 7x4 − 9x +3 (b) Evaluate each of the following.…

A: Given: To Find: (a) To find (b) To evaluate .

Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

A:

Q: Which number is the value of F'(-2)? Review the table of values for function f(x). O -8 f(x) O -7 -2…

A: Given:  To find: Which number is the value of f-1-2

Q: The function f(x) : (4x + 8)e has one critical number. Find it. %3D

A:

Q: fünction and its graph are given. f(x) = x3 + 3x² 3 16х — 20 %3D y 100 50 - 10 -5 -50 (a) From the…

A: To find the properties of f'(x) and f"(x) from the graph of the function.

Q: Given the following function notations, find h(x) = f(x) + 2g(x). * f(x) = 7x – 5x + 2 and g(x) =…

A: Given the following functions                                      f(x)=7x3-5x+2  and  g(x)=3x2-1…

Q: а. Но: и 46 versus H1 :µ< 46. i ! < p-value < i ! tcritical i %D

A: a. The degrees of freedom is, df=n-1=17-1=16 The degrees of freedom is 16. The test statistic is…

Q: st } H J −2 ½-½ i − c = 0 2 - - 2 ½ ½c = i 4. Tan's Trophies charges Coach Garcia $35 per trophy…

A: The objective of the question is to find the correct function that represents the total cost Coach…

Q: Differentiate each function sheet of paper. 1. y = (4x -- 10) A. 16(4x- 10)? B. 16(4x - 10)3

A: 1. Given function is  y=4x-104. To differentiate the function using chain rule. Solution: Chain rule…

Q: f"(x) = 2x + 5 and f'(-2) = 4 and f(-2) = -4. Find f'(x) = x^2+5x+10 and find f(2) = 76/3

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Q: aph the function. r(x)={(-x^(2)+1 for x1):}

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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: QUESTION 7 Find and simplify the difference quotient x + h)-fixl, hr0 for the given function. fx) =…

A: Difference quotient

Q: y%=x(x2 +x- 2) 3

A:

Q: Find ao of the function f(x) =(T - x)2 |3D | O 5 T^2/12 5 π^2/6 O T^2/12 TT^2/6

A: Fourier coefficient of the function

Q: | (x-)(x+ 3) dx

A:

Q: Differentiate the function. A(s) = -- A'(s) = 44 5 X

A: Given: The given function As=-11s4 To find the derivative of the function. Derivative formula:…

Q: у 3 х — 2 - y? = What are the points of intersection of these two functions?

A: