What are the vertical asymptotes of the following rational function? O y = x-4 x²+7x+6 x = -1 X = -6 x = -1 and x = -6 x = 1 and x = 6

Q: Vector component of V and W are as follows. Find the direction of the resultant vector. V= (13.5,…

A: Given query is to find the direction of the resultant vector.

Q: 7I3 2 in What is the exact area of the triangle? A= 23 X square inches

A: Area of the triangle =12×Base×Height

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A: Here we have to find the area of the triangle.

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 2 = 8…

A: Given r2 = 8tanθas we know that conversion between polar and rectangular coordinates x = r cosθ…

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Q: 15 10.) 125 136i

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Q: tch the polar equation with the graphs labeled I-VI. Use the table to help you. r = sin(40) OX III…

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Q: (b) If t = tan = tan = 12¹ 2' prove 1+ sinx+cos x 1+ sinx-cos x = cot N|X

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Q: solve for x, if 0 < x < 2pi. Give your answer using exact values only. 2sinx-cotx-cscx=0

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Q: (b) Solve sec²x+2 tanx-6=0 for x where places. ≤x≤ 360°

A: Topic = Trigonometry

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Q: 71. cos 50° + i sin 50° cos 20° + i sin 20°

A: Given query is to simplify the expression.

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Q: Give the smallest two solutions of cos(5θ) = -0.7773 on [ 0,2π). Separate the two solutions with a…

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Q: Please write a rational expression (in factored form please) that could produce this graph.  Please…

A: see below the answer and explanation

Q: 25 8.) - 16²5 + 12/23

A: We know  ⇒i2=-1 ⇒i4=1 Therefore i4k=1 , k =0,1,2,..

Q: Using the characteristics below, write an equation for each function Sinus. A) Amplitude of 1/4,…

A: The standard form of a sine function is y=asin[b(x-h)]+k a=amplitude 2πb=is period h=phase shift (…

Q: The radius of a sphere is equal to 200m. a. Find the area of a spherical triangle having angles A =…

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Q: Find the measure of the reference angle for each measure of 0. (3 points each) 28) 0 = 165° 29) 0 =…

A: CONCEPT When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle…

Q: Simplify sin(π/3) ⋅ cos(π/6) ⋅ tan(π/4)

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Q: 1. (1 cos 0) (1 + cos 0) (1 + cot²0) = 1 1 1 secx - 1 secx + 1 2. 2 cotx csc x + 3. sin²xcos5x = cos…

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Q: Outside temperature over a day can be modelled using a sine or cosine function. Suppose you know the…

A: The temparature can be modelled by D(t)=Asin(2π(t+B))+Cwhere A is the amplitude of the function, C…

Q: 9.) — 12:¹2 .48 + 12i 1

A: Solve

Q: Solve the equation on the interval [0,2pi). 2(sin x squared) - 3sinx +1=0

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Q: Solve 8cos2(t)−10cos(t)+3=0 for all solutions 0≤t<2π t=

A: To solve the following equation for all solutions for 0≤t&lt;2π.8 cos2t-10 cost+3=0

Q: Finding the Angle Between Two Vectors In Exercises 23-30, find the angle between the vectors. 29.…

A: Topic - Angle between vectors We are given, 29.)u=cos(π3)i+sinπ3jv=cos(3π4)i+sin3π4j

Q: Find parametric equations for the curve with the given properties. The line with slope passing…

A: givenslope of line=12

Q: For the polar coordinate (r,0)= (-2,7/6), give one coordinate r 0 and -2π0 r>0 r 0 4

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Q: A clock with an hour hand that is 18 inches long is hanging on a wall. At noon, the vertical…

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Q: A 25 го 15 в

A: In the given question we need to find the value of cosC

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Q: y = and Sing

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Q: (b) Express the left-hand side of the equation cos 4x + cos2x = 0 for 0≤x≤ as a product and hence…

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Q: The exponential function f(x) = (²¹)* +3 has the ---Select--- asymptote y = This means that as x→…

A: Given data:- The given exponential function is,f(x) = 16x+3

Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Using the Angle Between Two Vectors In Exercises 39-42, find u. v, where 0 is the angle between u…

A: Given Data : Here we have given two vectors u,v with ||u||=9, ||v||=36 and the angle between θ=3π4.…

Q: Question 1 (a) Express the left-hand side of the equation sin 30+ sin 0 = 0 as a product and hence…

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Q: Find the exact value of each of the remaining trigonon sin 0: = 3 11 5' 180° <0<270°

A: Given query is to find the 5 trigonometric functions.

Q: Angles A and B are located in the first quadrant. If sinA = 5/13 and cosB = 3/5, determine the exact…

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Q: ← An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1000 feet apart. As the…

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Q: -1.5 Need Help? I -1.0 -0.5 where Read It 0.5 -0.5 -1.0 -1.5 Watch It 0.5 (b) Find a…

A: Solution is given below:

Q: the 70X 15. (-1,4)5 1+ +++ -3-2-1 (2,2) 123

A: Given query is to find the components and the magnitude of the vector

Q: Using the Law of Sines to solve the all possible triangles if ZA = 120°, a = 32, b = 14. If no…

A: Given: ∠A=120°, a=32, b=14.

Q: A pair of parametric equations is given. x=4sin(t) y=4cos(t) 0<t<pi Find a…

A: x=4sin(t)   y=4cos(t)

Q: Use the vectors u = (4, 4), v = (−5, 2),and w = (4, −1)   to find the indicated quantity. (u v) −…

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Q: Find the amplitude (if one exists), period, and phase shift of the following function. Graph the…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: Using the Law of Sines to solve the all possible triangles if /B = 50°, a = 101, b = 43. If no…

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Q: Simplify the trigonometric expression. cos³(x) + sin²(x) cos(x)

A: I am attaching image so that you understand each and every step.

Q: A water sprinkler sprays water over a distance of 20 feet while rotating through an angle of 120°.…

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Q: Bernoulli's equation dy dx -ye-2x = 6y8, will be reduced to a linear equation by using substitution…

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