Rewrite the quadratic function in vertex form (which our OpenStax textbook also calls the standard form) and give the vertex. f (x) = 2x2 – 10x f (x) = Enter your answer as a point (a, b). Vertex:

Q: Given the following unit circle, rotate green dot to the appropriate angle and then find the exact…

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Q: C4. Find an equation that represents the hyperbola that has its vertices at (4,-1) (-4, -1) and foci…

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Q: Exact Trig es or Find the exact value of each trigonometric function. Then state the coordinates of…

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Q: Solve 8 tan x sin x -8 tan x =0 in the interval [0,2n). The solution(s) is/are (Use a comma to…

A: This question can be solved using the concept of trigonometric equation.

Q: Prove the following identity. csc e - cot 0 Sin2 e 2 csc e We begin by writing the right side of the…

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Q: Given: cos 0 = where 0 <0<90 13 Find: cos 3y13 13 2y13 13 2/3 8/2

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Q: arbod noo 40° lu 38 OL br 50°

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Q: Let cosA = −5/13 with A in QIII and sinB = 3/5 with B in QI. Find  tan(A − B).

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

Q: A 51-foot wire running from the top of a tent pole to the ground makes an angle of 56° with the…

A: We have to find the distance between the point where the wire is fastened  to the ground and the…

Q: Solve 4 sin (w) – 23 sin(w) + 15 = 0 for all solutions 0 < w < 27 %3D

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Q: 2) 18 17°

A: Fins the value of x

Q: For the ordered pair, give three other ordered pairs with ? between −360° and 360° that name the…

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Q: 12 A curve with polar equation r = 4 sin 0 + 33 cos 0 represents a line. This line has a Cartesian…

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Q: Write the vector shown above in component form. Vector = Note: In the graph, each box is 1 unit by 1…

A: We need to write the vector in component form.

Q: Rewrite 10 sin(5x) cos(3x) as a sum or difference, then simplify.

A: Here we have to rewrite 10sin(5x)cos(3x) as a sum or difference.

Q: 3) 2. Applying the Corresponding Parts of Congruent Triangle is Equal Congruent (CPCTE C), complete…

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Q: Find all the second-order partial derivatives of the functions 3: a) f(x, y) = x + y + xv b) g(x, y)…

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Q: 9) 10) 19 10 49° 32

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Q: The equation below gives the height h of a passenger on a Ferris wheel at any time t during the ride…

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Q: Prove the following identities sin(x)–1 sin(x)+1 -cos (x) (sin(x)+1)²

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Q: a. 37-7 3 -=342-6-45,57 b. 7 + 742,tr15.5 (7,-17 =23(2), 3-6)>-c5,67 6-5,-19-5> c. the magnitude and…

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Q: 128 8.8 2.8 22.4 .y%3D

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Q: 6. f(x) =-11x-7x? DEGREE: LEADING COEFFICIENT: END BEHAVIOR: As x 00, y→ As x→-0, y

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Q: 1. Given the vectors = (2, -6) and 7 = (5, 5) , find %3D a. 37 -7 b. |7 + 7|

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Q: The point N lies on the segment MP. Find the coordinates of N so that MN is 2/5 of MP.

A: To find out the coordinates of N,

Q: 9) 10) 10 19 49° 32°

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Q: sin x sin y =

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Q: Let triangle ABC be an equilateral triangle of sides 100 units long. Find the coordinates of points…

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Q: Which of the following statements is not true? O The Cosine Rule expresses a relationship between…

A: Explanation of the answer is as follows

Q: Find the hypetenuse the n 12

A: see below the answer and calculation

Q: Determine the period of the following trigonometric function. 2Tx 1 sin( 4 - 3

A: Given:      y=14 sin2π x3

Q: Eliminate the parameter t in the following. x = 5 csc t, y = 5 cot t

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 5j, V = −11i…

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Q: Graph the hyperbola described by the equation -9x + 16y? – 18x -64y = 89, and give the coordinates…

A: This question can be solved using the concept of general equation of hyperbola.

Q: Graph z = 4 ( cos +i sin-) on a polar grid. Then express it in rectangular fo COS- 3 12 Y 12 6 12 12…

A: Topic:- coordinate system

Q: Find all solutions to the following triangle. (Round your answers to one decimal place. If either…

A: To find out measures of the triangle.

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely. =…

A: This is a problem of vector calculation. Based on the general formula we will solve the question.

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in…

A: complex number

Q: In the accompanying diagram of a right triangle ACD, B lies on AC, BD is drawn such that m2CDB = 27,…

A: This question is based on Trigonometric Ratios.

Q: 3) 25 18 5) 65° 15

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Q: Cheerleaders standing and moving in the shape of a sinusoidal function. One of the cheerleaders…

A: The general forms of sinusoidal equation are given as  y= A sin ( Bt+ C ) + D  where A is amplitude…

Q: Use a product-to-sum identity to rewrite the expression. cos 43° cos 17° cos 43° cos 17° = (Simplify…

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Q: 6: evaluate öz/ou and oz/ov at the given point (u, v). z = tan (и, v) — (1.3, п/6) (x/y), x = u cos…

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

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Q: w=64(cos 180 degrees + i sin 180 degrees)

A: Solved below

Q: The Eiffel tower is 970 feet tall, Ie the shadow iS 1200 feet lang at 11:00 am, what is the angle of…

A: topic - inverse trigonometric ratios

Q: The problem that follows reviews material we covered in Section 6.2. Find all radian solutions…

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Q: Find the vaue of X 27 13 2501 16

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Q: Determine whether the given vectors are perpendicular. u = 2i, v = -i + 8j %3D %3D Yes No

A: The given vectors are u=2i and v=-i+8j