Give an example of a relation on the set A = {1, 2, 3, 4, 5} that is a) both symmetric and antisymmetric. b) neither symmetric or antisymmetric. c) anitisymmetric but not symmetric

Q: Find a vector equation, parametric equation, and symmetric equation for the line passing through…

A: we need to find out the vector, parametric and symmetric equation for the line that passes through…

Q: -) y = 7sec @ In 7 ) y = 5-cos 2t 5) y = 3tan@ In 3

A: Since there are two different questions, according to the guidelines, I am solving the first…

Q: B. Determine the value of each variable. 1. 2. X 45° m 15 n 16 30⁰

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Q: The formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74…

A: The formula for wind chill C (in degrees Fahrenheit) is given bywhere v is the wind speed in miles…

Q: 17. Evaluate the limit, if it exists. Show work. x²-3x-10 limx-5 2x-10

A: To evaluate the following limit if it exists.

Q: A rancher has 100 feet of fencing to enclose two adjacent rectangular corrals, as shown in the…

A: The area of the rectangular corral is .The objective is to find the value of  that has the maximum…

Q: Evaluate the following integral. 5 x(x² + 2)² dx 5 In x² +2 In|x²| 1 √ + 0 = 0 _ _ _ ) - 0 dx 5 + +…

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Q: Determine the slope of the tangent line to f(x) = 3x-2 x²+4x at (-2, 2).

A: f(x)=3x−2x2+4x at (−2,2).Quotient Ruleddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: 1) Calculate the distance between M(-3,0,2) and the line given by r(t) =

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Q: For the given position vectors r(t), compute the (tangent) velocity vector r'(t) for the given value…

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Q: [²11 11 cos(x²) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your…

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Q: #15 & 16: Solve each inequality using a number line sign chart. Write answers in interval notation.…

A: [−3,−1]∪(6,∞)Explanation:To solve the inequality (x+1)(x+3)/(x−6)​≥0, we can follow these steps:Find…

Q: Problem #8: The curve y = √√25-x², -3≤x≤2, is rotated about the x-axis. Find the area of the…

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Q: Find the derivative. 2 y = 6x²e X

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Q: ƒ(x) = = ax² + 3x + b 9x² - 6x + 2a if x ≤ 0, if x > 0.

A: f(x)={ax2+3x+b if x≤09x2−bx+2a if x>0

Q: # 7-9: Multiple Choice. Choose the best answer 4-6-10 15 57 153,is (x-3) a factor? 5 19 51 143 7.…

A: 7). B. No 8).A. (x - 5) 9). FalseExplanation:7). - If the remainder is equal to 0, then it is a…

Q: J X √9 - x² dx

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Q: x²-x-20 18. Find the coordinates of the hole in the graph of f(x) = x² +7x+12 Hole:

A: Hole is at x=-4.Explanation:

Q: a) lim (-3x³ + x² − 2x + 7) X→-1 x4 - 16 c) lim x 2 x² - 4 e) lim √x - 5 x→-5+ b) lim x→1 √x + 2-3…

A: a) limx→−1(−3x3+x2−2x+7)

Q: Σ H=I Τ n(n+1)

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Q: -5 -4 -3 fa 4 3 2 -3 O 2 3 4 10

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Q: Use analytical methods to evaluate the following limit. 1 X+6 lim X--6* 1 √x+6

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Q: K Find the volume of the solid generated by revolving the region bounded by y = cos x and y = 0,…

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Q: Evaluate Se²x 2x Se²x 2x cos (5x) dx. cos (5x) dx = e2x. (5 sin (5x) + 2 cos (5x)) 19 + C

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Q: A corporation has a continuous compounded bank account with 2.7% annual interest. The board of…

A: For compounded continuously rate of interest amount at time ttime in yearsinitial amount

Q: Consider the same system as given in the previous problem: S 6x² + 4yv4 = 10 3xy(²-²) = 0 It is…

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Q: Price-Demand Equation At YasterMart, people are willing to buy a pounds of chocolate candy per day…

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Q: 4. Simplify the expression so that the result is not complex and does not have negative. exponents…

A: The Expression is as follows

Q: Show that vector field F(x, y, z)=yzi+xzj + (xy + 2z)k, is conservative, then evaluate fF.dr, where…

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Q: 16. Perform the following complex operations. Write your answers in the form a + bi. (a) (3-i) +…

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Q: #10-12: Use f(x)=3x¹+x²-14x²-4x+8 10. Determine the total number of roots 11. Use the Rational Zero…

A: 10) 411)±1,±2,±4,±8,±1/3,±2/3,±4/3,±8/3.12) 2, -2, -1, 2/3 are the actual roots.Explanation:Step 1:…

Q: Evaluate tr(g(t)) using the Chain Rule: r(t) = (et, et, -8), g(t) = 6t - 7 r(g(t)) = (

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Q: (BC Topic) What is the sum of the infinite series 1 - Select one: a. 0 O b. π O c. 1 d. -1 O T 2 +…

A: The given infinite series The objective is to find the sum of the series.

Q: Graph the quadratic function and supply the desired information about the graph. f(x) = x² + 8x + 13…

A: a) Line of symmetry : x=−4 b) X-intercepts : (−4+3​) and (−4−3​) c) Y-intercept : 13 d) Vertex :…

Q: Consider the followin sequence {any defined by the following recursive formala 9₁ = 2₁ an+1 = 1/2…

A: The objective of the question is to prove that the sequence {a_n} defined by the recursive formula…

Q: Find all critical points of the function f(x) = x-² - x-³. (Use symbolic notation and fractions…

A: Need to find out the critical points for the given function.

Q: The given position vector r describes the path of an object moving in space. ||v(t) || (a) Find the…

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Q: Suppose that  3 ≤ f ′(x) ≤ 5  for all values of x. What are the minimum and maximum possible values…

A: The question is asking us to find the minimum and maximum possible values of the difference between…

Q: Shetch the graph of f'given the graph of f. explain how you found your answer Z 5

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Q: Consider the sequence.     20 ,    20 +    20 ,    20 +    20 +    20…

A: The objective of the question is to understand the given sequence, compute the first five terms,…

Q: 3 Use the sum of the first ten terms to approximate the sum of the series n√ n²-1 n = 2 (Hint: Use…

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Q: dw dt Problem #5: Let w = 5x² + 2y², where x(t) = −3+2t and y(t) = 4t - 1. Use the Chain Rule to…

A: Given  where

Q: Find the curvature of the curve r(t). r(t) = (4 + In (sec t))i + (8 +t)k, л/2<t</2 OA. K=1-cost B.…

A: Therefore the correct option is B.Explanation:

Q: If f(x, y) = xy² + arctan(cosx), then fyy is

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Q: Problem #1: The Doyle Log Rule is one of several methods used to estimate the lumber yield of a log…

A: The given function is where d is diameter and length is L.Here, L=12 and d=22

Q: 15. A music concert is organized at a memorial auditorium. The first row of the auditorium has 16…

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Q: Find the derivative of the vector function r' (t) = ( -> r(t) = ln(5t²)i + √√19+tj-8e²t k ID 9 9

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Q: Consider the following. f(x, y) = 3x² - y (a) Find the gradient of the function at P(2, 10). Vf(2,…

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Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (-1,3) 3+…

A: To write an equation for the following transformed logarithm shown below, that passes through .

Q: X y = y 77 225 471 877 3 1480 1.5 2 2.5 Paste the table into Desmos and fit the requested type of…

A: (a). Exponential function: The exponential function that best fits the data is :…