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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: The given function, fx=11-2xif x<2x2-xif x≥2. We have to find the limit of the function at x=2.

Q: Let ƒ(x) = |x − 3). Evaluate the following limits. ƒ(x) — ƒ(3) x-3 lim x→3- lim x→3+ f(x) — ƒ(3) x-3…

A: Topic = Function

Q: . Sketch a graph that satisfies the following properties. • limx→2+ f(x) = 4 ● limx→2- f(x) = 3 •…

A: Given query is to find sketch the graph with Indicated properties.

Q: If sinx+cos x = 1/3, then 18 sin² X -9|=

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: we supposed to do only first part of multiple  I=∫xcos(5x)dxu=xdv=cos(5x)dxwe know that…

Q: y = -3 Step 1 of 2: Determine the domain and range for the relation in interval notation. Enable…

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Q: determine the open intervals on which the graph of the function is concave upward or concave…

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Q: The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, where…

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Q: Find the limit or indicate that it does not exist. lim t->лL [( A. 7 [1] ₁ + (cos = 1] ₁ + [t COS…

A: NOTE: Refresh your page if you can't see any equations. . the given limit is

Q: Give a limit expression that describes the right end behavior of the function. Use - ∞ or ∞o where…

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: To find the value of the derivative at x=2.

Q: Let g(x) = (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter…

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Q: 4. Assume that ABC Power Tools from question 1 sells Item 1 through a typical home improvement…

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Q: Find each indicated quantity if it exists. Let f(x)= O A. lim f(x)= (Type an integer.) x→0* B. The…

A: We have to find out the limits.

Q: QUESTION 17 Solve the inequality. Write the solution set using interval notation and graph it.…

A: Given query is to find the solution of the inequality.

Q: Find the critical point of the function f(x, y) = − (36x + 6y² + ln(|x + y))) . C= Use the Second…

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Q: Find All Solutions 3 sin z=3- 3 cos z

A: Given query is to find the solution of the expression.

Q: Question 2 Compute the value of x that maximizes or minimizes the following functions and find the…

A: according to bartleby guide line we do only first part of multiple questions there for please re…

Q: 3. The average rate if change of the function y=x²-x-1 from x = -1 to x = 4 is a. b. 2 c.2.2 d.11…

A: Given function is y=x2-x-1

Q: Evaluate the integral. (Use C fo Stan tan (x) cos(x) a

A: Given query is to find the integral.tjl

Q: 3.4. A company that makes smoothies is planning to market its product. After a market survey they…

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Q: he following figures show the price of gold per ounce, in dollars, for a 10-business-day period.…

A: Price variation of gold as follows  1,030, 1,026, 1,035, 1,025, 1,026, 1,022, 1,016, 1,029, 1,003,…

Q: dy dx dy dx Find for the function y = x .-10 cos(x) 0

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Q: If a rock falls from a height of 39 meters on Earth, the height H (in meters) after x seconds is…

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Q: In a local election, a group hired a public relations firm to promote its candidate in three ways:…

A: Let consider two matrices  M and N. The order of matrix M isM:->P x Q The order of matrix N…

Q: For the given functions f and g, find the requested function and state its domain. f(x) = x-9; g(x)…

A: given  f(x)=x-9g(x)=9x2(f+g)(x)=f(x)+g(x)

Q: Find the maximum and minimum values of f(x, y) = 7x + y on the ellipse x² + 16y² = 1 maximum value:…

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Q: Solve the problem. The monthly cost of a certain texting plan is given by the function y-0.05x +…

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Q: Most fish can adjust to a change in the water temperature of up to 18 degrees Fahrenheit if the…

A: Introduction: An absolute value inequality is an inequality that has an absolute value sign with a…

Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110X-0.4x². a. Find the…

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Q: Find points on the curve y = x²e where the tangent line is horizontal (write points in the form (x,…

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Q: The following table shows the estimated sales (in billions of dollars) for a certain company for…

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Q: 4. Given the recursive formula an = n² an-1, and a₁ = 2, find the next 4 terms. Show all work. Write…

A: given  an=n2(an-1)given  a1=2

Q: Find the derivative of the function using the definition of derivative. g(x)=√2-x g'(x) = 1 2√2-x…

A: Solving the following problem

Q: if I 5 Use a graph to determine the following limits. Enter DNE if the limit does not exist. lim…

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Q: Suppose that Find f'(x). f'(x) = = f(x+h)-f(x) = 6hx - 4h +8h².

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Q: Using the definition of the derivative, find f(x). Then find f'(-2), f'(0), and f'(6) when the…

A: Here we have to find the derivative of function.

Q: A = B = C = | Now evaluate the indefinite integral. 2x² + 3x + 27 1 9) -dx =…

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Q: For the pair of functions, write the composite function and its derivative in terms of one input…

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Q: Consider the graph of f(z) given below: 10 -10-8 -6 4 8 6 4 2 197 -20 2 4 -6 -8 101 . 1 1 1 L 1 1 1…

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Q: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h =…

A: We are required to find the average rate of change of  function f(x)=32x2 over the intervals [a, a +…

Q: Evaluate the integral. 8 6.² - xex Jo (1 + x)² dx

A: integration by part is given by∫fdg=fg-∫gdf

Q: 5. Let f(x) = 3x - x² x²-9 (a) Find all horizontal asymptotes of y = f(x) (or explain why there are…

A: The function has one horizontal asymptotes and two vertical asymptotes

Q: 1 7. For f(x) write the linear approximation at a = 0 and estimate f(-0.1). 1 + x (Note: The…

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Q: A = Now evaluate the indefinite integral. 2x² + 3x +27 B = 12/0 (x − 3)(x² +9) Don't forget +C. - dx…

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Q: Find (f+g)(x)=? Domain of f+g is ? Find (f•g)(x)=

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Q: Let lim g(x) = 6 and lim h(x) = 8 x→4 x→4 Determine the value of the limit lim [g(x) — 10]² x→4

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Q: Find y'' for y = 4+ 5X 3

A: Given :   y=4+5x3     To Find : y''

Q: Find an appropriate parametrization for the given piecewise-smooth curve in R³. x² + y² 4 16 C(t) =…

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Q: Exercise 1- Determine which of the following functions are analytic: 2 d- x²+îy², b= 2xy +i(x²y²)…

A: Since you have asked multiple questions in a single request we would be answering only the first…