10, 2. The following 0.25 0.5 0.75 1 1.25 1.5 1.75 2. SO|13 12 10 8 7 4 1 0.5 Find the left-hand Riemann sum with n = 4. Is your answer an underestimate or an overestimate of the integral | f(r) dx ? Draw a diagram showing the Riemann sum and the function to justify your answer.

Q: find f(2021) if function f satisfies following the function f(1)=1 and f(x+y)= f(x)+f(y)

A: we have given f(x+y) =f(x) +f(y) and f(1) =1. We have to find f(2021)

Q: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: Let f(x)=4x-3. Sketch the graph of f and f-1 and find the rule of f 1,

A:

Q: F(x, y) := x² + xy + y² – 1 y – x2

A: Solve the given problem.

Q: There are four questions about this problem in the test shown in random order. Out of 1000 customers…

A:

Q: 5. The coordinates of the hole for the function f (x) x²-4 are: x-2

A: Given function, f(x)=x2-4x-2

Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

A:

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Let f be the function defined by ƒ (x) = x² − 12x³ + 48x² − 64x. Which interval is the graph of f…

A:

Q: a. Find the domain and range of f. b. Find r"(x). c. Find the domain and range of r. d. Draw the…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Given f(x)=3x^2 + 4x + 5, determine the roots of the function. Verify them with a graph.

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: If the given three vectors are coplanar, then find the value of x. A = i-2j + 3k, B = xj + 3k, C =…

A: A, B, C are coplanar.So

Q: Find the intervals on which the function f(x)=x−4x2 is increasing and decreasing.

A: Given function:

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.