4. Evaluate: lim(x² - 10x) x→6

Q: Can you please help me step by step with this problem?

A: Using the differentiation formula. If u and v are two functions then,

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A: Derivative can be computed as follows.

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A: The given function is,

Q: Graph the parabola. y = (r-5)²-1 Plot five points on the parabola: the vertex, two points to the…

A:

Q: Find the c that satisfies the MVT for Integrals. f(x) = x² over [0,4].

A: We know that Mean value theorem(MVT), Suppose f is continuous function on a, b and differentiable on…

Q: Can you help me step by step with this problem?

A: Obtain the derivative of the given function as follows.

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A:

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A: From the given function:

Q: Can you show me how to solve the problem provided in the picture step by step?

A:

Q: Can you please help me step by step with this problem?

A: From the given graph, it can be clearly seen that the corresponding function is:

Q: 4. Find the total distance traveled by a particle that has velocity V(t) = 2t -4 over [0,5]

A:

Q: Let f(x)=√x and h(x) = Find f-h and its domain. Which of the following defines the function f-h? O…

A: The domain of a function y=f(x) is the set of all possible values of x for which f is defined.

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A: Find the derivative with respect to s.

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A: Firstly, let us name the points as shown below:

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A: Please see the white board. Let's differentiate both sides with resepct to x.Recall that:d(cosx)/dx…

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A: The given function f and the values of c and epsilon are,

Q: Can you please help me step by step with this problem?

A: We can see, that the graph of the function given is a straight line and the slope of the line is…

Q: Can you please help me step by step with this problem?

A: To find the derivative of the given function (fractional power)

Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

Q: Can you please help me step by step with this problem?

A: To identify the (correct) graph of the derivative of the function whose graph is given

Q: Can you help me step by step with this problem?

A: Multiple choice question:The correct answer is the first option i.e. option A. That's the…