Use the graph of f' on [-7, 6] to find the following (graph is attached) a. FInd f'(-4) and f"(-4) b. At which x values does f have a relative maximum on (-7, 0) c. Find all intervals on which the graph of f is concave upward and all intervals on which the graph of f is concave downward. Explain why.  d. Find each point of inflection.

Q: Use the graphs (see attached) of f and g to find (g - f)(-2).

A: To find (g - f)(-2).  (g - f)(x) = g(x) - f(x) value of both functions at x = - 2    g(-2) = 2 f(-2)…

Q: Let h(x,y)=esqrt(y-x^2) Find the domain and range of h and sketch the domain of h.

A: Domain and Range:     Let 'f' be a real-valued function of two variables 'x' & 'y'. Then…

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A: It is given that graph of f passes through 1 , -8 and slope of the tangent at x, fx = 2x+1i.e    f'x…

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Q: Q1) By using transformations of mother functions, sketch the following curves and determine the…

A: We will find out the required values.

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A: The scale and the viewing window of the graphing utility must be adjusted to obtain a clear graph.

Q: The figure is the graph of the derivative, f', of a function f on [-4,4]. AA Determine the intervals…

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Q: For the function (x) = locate the local maximum(s) and minimum(s). A. local minimum (-V27,7.8) and…

A: The graph is shown below:

Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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Q: 1:J Are the following functions linear or nonlinear? Explain. (You may find it useful to create an…

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Q: The graph of the function f on the interval [-4, 4] is shown above. What is the value of f(x)| dx? 5…

A: integration

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.