.7% x-2 Consider the function f(x) = 7 -7' %3D x-7 Use the graphing utitlity to graph f. f(x) = %3D y 15 10

Q: Differentiate the following Algebraic function. 2x2 1.y = - V7 3x-2 2. y 2x+1 3.y =+

A: 1.y=2x2x2-x232.y=3x-22x+13.y=5x2+1x3Note :If multiple questions are given we have to answer only…

Q: The graph of y=f(x) is given. Find the following derivatives. f1(0)= f1(1)= f1(1.5)=

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: This is the graph of a function f (x). What is the value of /, f (x) dx ? (3, 1.5) 1- |(0, 0) 3 3 -3…

A: In this question given that a graph and first we find function f(x) and after we find the value of…

Q: > Question 21 A population of 770,000 microbes increases at the continuous rate of 12.6% per day.…

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Q: (x)= g(h(x)), then f'(4)= ? Use graph g(x) and h(x) to answer.

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Q: A 1. f(x, y) = 1/(1 + x² + y²) 2. f(x, y) = (x² - y²)² 3. f(x, y) = (x - y)² 4. f(x, y) = 3-x² - y2²…

A: 1.)    Now here, notice that as  f(x,y) tends to 0 therefore option number C matches the description…

Q: Determine the stationary points of the function f (x)=x*e stationary point. Then sketch the graph of…

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Q: Match graph to function?

A: Given query is to find the function for the given graph.

Q: The left graph is y = g(x). The right graph is y = h(v). True of False. Explain your reasoning. True…

A: While answering the question we will use the fact that the area below the x-axis is considered to be…

Q: The graph of y= {x) is compressed horizontally by a factor of reflected in the y-axis. What is the…

A: We have to find the equation of new function in terms of f(x).

Q: Let f (x) = 3x3/2 and g(x) = 2Vx. %3D Find each new function and evaluate at x = 3. 5. (f g)(x) A…

A: Product of the functions at x=3

Q: Based on the graph of the function y = (2,4) -2 (A) f f (x) dx = (B) f f(x) dx = (C) f₁ f (x) dx 3…

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Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1.…

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Q: Without graphing, compare the graphs of the indicated functions from the given function. 2. Given:…

A: The given function f(x)=7x

Q: Graph y= x by stretching the basic graph y = x. 3

A: The basic graph y= x^2 is an upward-facing parabola.

Q: Sketch the graph of f(x)= 1/3x-x-3x+4 showing all the points of inflection, local max. and local…

A: It is defined that the inflection points are those points at which the rate of change of slope…

Q: h(x) = x³, H(x) = (x – 2)³ %3D

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Q: 9 Draw a graph of y = f(x) such that f(-2) = 5, f(1) = 0, and f(4) = 3. %3|

A: Given:

Q: Calculus Question

A: Given that a stone is thrown in a still water creating circular ripples. The ripples move outwards…

Q: Find the requested composition of functions. Given f(x) = _2 and g(x) = 2 , find (f · g)(x). %3D %3D…

A: We have to find function