Sketch the graph of the function. [21x if || ≤ 1 if || > 1 f(x) ) = {2시 -3 -2 -1 -3 -2 -1 4 2 -2 y -3 1 2 3 1 2 3 X X -3 -2 -2 1 -1 y 3 2 - y -2 1 1 2 2 3 3 X X

Q: the properties of the cross product to ma following calculations. (a) ((j + k) × j) × k = (b) (i +…

A: We will find the required.

Q: Find the equation of tangent at x = In 5: ln 2x a) y = ²x + 1 e to :

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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A: Function to be continuous at point x = a, it must be defined at that point.

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Q: Write a function of the form f(x) = csc (Bx-C) for the given graph. 3 2 1 0 -1 -2 -3 F 12 5п 12 3πI…

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Q: Determine the domain of the relation graphed below. Ⓒ (-4,5) KD 1-4 51 CHAUS SH TEAT 2 0 NE O E 2: m…

A: We can find the correct answer in the following steps.

Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

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

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: The graph of the function fx is The table for the function gx is

Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0

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Q: help

A: The main difference between simple and compound interest

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: a) y=(x2-2)2 put y=y+∆yand x=x+∆x

Q: 2. Let u=i+aj +3k and y=2i-3j+ ßk i. ii. iii. If u is parallel to y, find the values of a and B Find…

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Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

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Q: (b) y = √2-3x

A: y=2-3x

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A: Solve the following

Q: Given the two complex numbers: 2₁ = 2 + 4i and Z₂ = √5 -3i 1) Find the value of the complex number…

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Q: 4 = √² 43 √8-7x8 dx

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Q: The horsepower H required to overcome wind drag on an automobile is given by  H(x) = 0.00004628x3,…

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Q: Graph the solution of the system of inequalities. x + 2y ≤ 8 3x y ≥ 0 y ≥ 2 X - -

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Q: For each function below, find the derivative. DO NOT use decimals in your answers. If f(x) = 2x5…

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

Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: 2 2. f(x) = 5-x², (3,-4)

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Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

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Q: f(x) = √8x-6, g(x) = x² - 16, (f + g)(x)

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Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 8x − 3 f(2x)  =…

A: We have to slove above questions

Q: 6. Evaluate: lim x² +16 X-4 X-4

A: NOTE: Refresh your page if you can't see any equations. . here we have a rational function  and x=4…

Q: 6. (01.03 HC) Values of f(x) at selected values of x are shown in the table. X 2.75 2.9 2.99 3.01…

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Q: Find the slope of the line through P and Q: P( – 2, 2) and Q( – 4, 5). -

A: Given query is to find the slpe of the line passing through P and Q.

Q: Evaluate sin 3x cos 5x dx.

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Q: 9) ²-4r-91=7

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Q: Let limx-2 f(x)=-3, and limx-2 g(x)=4, Find limx-2 [f(x)/5g(x) +2f(x)g(x)]

A: Topic = Limits

Q: A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The…

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Q: Find ||u₁y|| if u = (2,5), v = (8,2). # 5 -X (Express numbers in exact form. Use symbolic notation…

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Q: 25. Sa 2x²-10x +4 (x + 1)(x-3)² dx

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Q: Write interval notation for the given graph. -10 9 -8 -7 -6 -5 The interval notation is (Type your…

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: speed x HOSX< 1000 if Graph Ffor 0 sx s 100. F sxs F 1000 (100, 1000 (100, 1000

A: We have to make the function from given data and graph the function.

Q: Tara has decided to start a walking program.Her initial walking time is 5 minutes. she plans to…

A: We will find the required.

Q: 3. Obtain the 6.S. sy dx + taydy = 0 xcos

A: We have given equation  xcos2y dx+tany dy=0 xcos2y dx=-tany dy x dx=-tanycos2y dy x dx=-sec2y tany…

Q: Find the set of all solutions of each of the following differential equations.  y" =32.

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Q: 3. Given the polynomial p(x)=-1¹-2³ +42² +8r, answer the following a. Please fully factor p(x) into…

A: The given polynomial px=-x4-2x3+4x2+8x Note:     The question contains multiple sub parts, as per…

Q: Find the perimeter of the following closed figures

A: Finding the perimeter

Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

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Q: The online program at a certain university had an enrollment of 540 students at its inception and an…

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Q: What is the general solution to the the differential equation3y"'-y' - 2y=0?

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Q: (1) Sketch these four lines y = 2x + 1, y = -x, and x = 0 and x = 2. Then use integrals to find the…

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Q: 3 6 9 3 3 ·+en+en.- 3 (v) e ¾ · ³ + e ¯ñ •· ³ + e - 7 · ²³ + ··· + n n 3n 3 ・++en. - n

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Q: 5) Prove that : tanz 올n(를) i-z

A: tan-1z=i ln[(i+z)/(i-z)]/2.

Q: The graph of a function g is given. = range = (a) Find g(-4), g(-2), g(0), g(2), and g(4). g(-4)…

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