For the following set of numbers 3,5,0,1, find the value of each expression: X ouw IX 3 5 0 1 ΣX = [X² H (ΣΧ)2 = EX-2 = {(x-2) =

Q: 11. Determine whether the relation u²+v=7 (a) represents u as a function of v. (b) represents v as a…

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Q: F. dr as a line integral and as a double integral. JC F(x, y, z) = (-y+z)i + (x − z)j + (x - y)k S:…

A: Concept: Stokes’ Theorem: Let S be a piecewise smooth oriented surface with positive orientation,…

Q: vi) Lim X-225 sln -√√x+5 25-R

A: Given the equation:- limx→25-x+525-x

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Q: Determine s' (x) ifs (x) = x-7 + e-8a O s'(x)=x6 - e-8x O s'(x) = -7x-8 - e-8x-1 O s'(x) = -7x-8 -…

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Q: probability of relapse into alcoholism can be modeled with a discrete random variable with mean ? =…

A: Given data:- We know that given a discrete random variable with a mean of 4 years so we will use…

Q: Demonstrate that the function f(x)= e^-x sin (x) is a solution for the differential equation f(x) +…

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Q: Domain (r) 2 4 1. Range (y) 5 8 9 -7 Domain (r) 1 13 9 0 2. Range (y) 11 8 2 Domain () 2 3 9 -1 3.…

A: According to the guidelines I need to answer only first three parts still I have solved first four…

Q: 21. 22. 23. 24. 25. lim xcscx is x10 (A) - 88 2x² +1 lim X41 (2-x)(2+x) (A) - 4 |x| lim x10 (A) 0 1…

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Q: Find the limit of the function (2x ^ 2 - 4x)/(x + 1) as x increases without bound

A: find limit as 'x' increases without boundlimx→∞ 2x2-4xx+1

Q: Find the point on the line 3x + 3y - 3 = 0 which is closest to the point (-2, 1). )

A: To find closest point on the line, draw perpendicular from the given point to the given line. The…

Q: Solve the following ODE. y' = 2y + x x

A: Here, the given DE is: y'=2y+xx⇒y'=2xy+1⇒y'-2xy=1 Comparing it with y'+Py=Q where P & Q are…

Q: 2. Evaluate a) 512 (1) ³ b) -512 c) 512 -1 d) 512

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Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

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Q: PART B (3.21x1043.21×104 )(0.2506) Express your answer in appropriate significant figures.…

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Q: Explain why the limit does not exist. X lim X-OX

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) /4 + tan(t) 6

A: To evaluate the given integral.∫dtcos2t 4+tant6

Q: 5x²(2x − 3) ³ (x+4) + 9x (2x − 3) (x +4)²

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Q: f(x) = 2 Lim f(x+x) - fox) AX f'(x)= 4x40 Lim AXO Lim (x+4x)² - + (x+AX)^2-x²² AX AX x= x + 2x (0x)"…

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Q: Evaluate the definite integrals using the graph of f(x) below. (a) (b) (c) [³ f (x) dx = 5 [³ f (x)…

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Q: Estimate the instantaneous rate of change of f(x) = -3x + 2 at x = -2.

A: The instantaneous rate of change of a function f(x) is the first derivative of a given function and…

Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE.) 8x8 r(x) = x + 2…

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Q: Let f(x) = 6.3x² - 2.4x. Find the equation of the secant line on the graph of f(x) between *₁ = 3…

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

Q: 7) Given that the points A=(-1,4,0), B=(2,1,1), C = (2,-2,1) are three vertices of the parallelogram…

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Q: Use the data and story to answer the following questions The table below shows the number of…

A: The number of state-registered automatic weapons and the murder rate for several North western…

Q: help

A: Please refer to the image below

Q: If OA = [7, 0, -1] and OB = [0, 4, 1], find the magnitude of AB: O√65 √69 O 13 √ 68

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Q: Find the limit. (If an answer does not exist, enter DNE.) x+ 5-6 X - 31 lim x→ 31

A: We need to solve limit.

Q: Use the graph of f to estimate the (a) local extrema and (b) absolute extrema. (a) Estimate any…

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Q: If r(t) = cos(2t)i + sin(2t)j - 4tk, compute the tangential and normal components of the…

A: We have to find tangential component and normal component

Q: Find (a) the slope of the curve at the given point P. and (b) an equation of the tangent line at P.…

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Q: Question 5 b)

A: Please see the below picture for detailed solution.

Q: 25. (x + 7)(x-1) = (x + 1)²

A: rule:  a+b2=a2+2ab+b2x+12=x2+2x+1

Q: 3) Find the vertical asymptotes (verify with limits) 2 x² - 4 f(x) =

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Q: Solve this system of equations 2x + y -x+y || Y = 5 - 2

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Q: Plot the point (s) where tan 0 = = Clear All Draw: √√3 3

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Q: Solve. 63x-736-1 O a) 5 0 b) 2 0c) 9 d) 3

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Q: 4. The Daytona 500 is a NASCAR event that requires drivers to complete 200 grueling laps around a…

A: Given data:- Total driving time = 2.5 hours First 65 laps of the race at a constant speed Next 65…

Q: Write

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Q: Find the product. E 3 تن 3 m + 3 F 3 S + 3 C 3 3 m n 3 m² -n² m² +2mn +nº 2 m m²-n² 2 +2mn + n² 11…

A: The given product, m3+n3m3-n3.m2-n2m2+2mn+n2 use formulas,…

Q: 7) Find the derivatives using the rules of differentiation. Express results with positive exponents.…

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Q: Write the following expression as a single logarithm and simplify. log3 27+ log3 6 log3 2

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Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: Mr. Anderson has chosen to build the rectangular garden with a length of 40m and a breadth of 30 m.…

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Q: Perform the test for exactness and determine whether the following differential equation is exact or…

A: Exact differential equation

Q: Find the limit as x approaches -6 for the function f(x) = 5x + 12. lim (5x+12)= X→-6 (Simplify your…

A: Topic- limits

Q: A dollar store finds the daily demand for any of their products is given by D(x) = 120 + 15x - x².…

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Q: Lim (x->infinity) (Sqrt (9x^4 + 6))/(4+3x-x^2))

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Q: Find the limit of the following functions: -1+√√x-4 1) lim X-5 x-5 2) lim f(x) where f(x) = x-2 x² +…

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Q: Factor out the Greatest Common Factors of. 1. 18x2 + 27x 2. 45a2 + 27 (Hint: the answers are not

A: Topic:- algebra        Definition:- To factor  greatest common factor take common term outside and…