Write the equation for the parabola in vertex form. Identify the vertex, axis of symmetry, and direction of opening of the parabola 1. y=3x2+42x+149

Q: Suppose the motion of an object can be modeled using the equation s(t) = 1.7sin(1.2t) where time is…

A: s(t)=1.7sin(1.2t)at lowest position velocity is zero velocity(V)=ds(t)dt

Q: You are given that cos(A)=−4/5, with A in Quadrant II, and sin(B)=−24/25, with B in Quadrant III.…

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Q: 71. tan- -? What is the exact value of 12

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Q: Given sinx=- 15 and cos x > 0, what is the exact solution of cos 2x? 17

A: I have appended the formula used in the solution part

Q: A post is supported by two wires (one on each side going in opposite directions to the ground)…

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Q: For what value of 8 is csc 8 undefined?

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Q: Given the side length c = 22 and the angle B = 40 on the triangle below, find the lengths of a and b…

A: To find the missing sides of the triangle

Q: Given the triangle below, find the angle 0. 0 4 Give your answer in degrees rounded to the nearest…

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Q: Find if 21 21 = 6 57 [cos + i sin COS 22 = 2√/3 [cos ³ O Simplify as much as possible. 13T √3 cos…

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Q: Given that cos(0) = == 2√13 13 and is in Quadrant II, what is sin(0)? • Report your answer as a…

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Q: Find (21) (2₂) if 21 4 (cos 76° + i sin 76°) = 22 2 (cos 59° + i sin 59°) Simplify as much as…

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Q: Find the exact value of the trigonometric function at the given real number. (a) sec(37) 4 X (b)…

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Q: Please answer this question within 5 minutes, I will rate you for sure. Find the period and…

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Q: cost = - 32 5' tant < 0

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Q: Considering only the values of a for which 1 sec a tan a Select the correct answer below: sin³ a -?…

A: Given query is to find equivalent term.

Q: 1) 2sin 2) cos² 3) TU 3 COS 2tan TU sin² 6 TU 8 1- tan² TU 3 8 6

A: We are required to find the value of 1. 2sinπ3cosπ32. cos2π6sin2π63. 2tanπ81-tan2π8

Q: Convert the expression from degrees, minutes, seconds (DMS) notation to decimal notation. Round your…

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Q: Which of these shows the graph of f(x)= −1/3 cos(4x)?

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Q: 30. 6x³ + 11x²+x-4 = 0

A: 6x3+11x2+x-4=0

Q: Find the exact value of each part labeled with a variable in the following figure. 30° 63 b a h 60…

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Q: Two points X and Y are 1000 m apart on a straight piece of coastline. A buoy Z is out at sea. XZ =…

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Q: Find the exact value of the expression. cos(170°) cos(20°) + sin(170°) sin(20°)

A: Given:    cos(170°) cos(20°) + sin(170°) sin(20°) The Cosine Sum of Angles Formula tells us…

Q: Use an identity to write the expression as a single trigonometric function. 1+ cos 82 2 1+ cos 82 2…

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

Q: C. Given OR, JB is a a point on the circle. Express your answer as a fraction and in simplest…

A: Given :JB is diameter of circle

Q: For the equation, identify the amplitude, period, and phase shift and sketch (at least) one complete…

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Q: 5 4+ 3 2₁ 1- 0 (,¹) TT 2п STT 9 п 2 ,1) Уп 5п

A: To find the Sine function represented by the following graph.

Q: Find the exact value of the trigonometric function at the given real number. 87 (a) 3 (b) sin 87T…

A: let  G=sin(8π3)we know  sin(3π-x)=sinxcscx=1sinx

Q: COS 20 2 || (Simplify your answer, includi any numbers in the

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Q: Solve the exponential equation. Express irrational solutions in exact form. -X 7.3* = (0.2) * What…

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Q: Graph x^2+y^2=121

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Q: Which angle is the coterminal to 212 degrees in standard position?       572 degrees   -402…

A: Given query is find coterminal angle.

Q: d. What are the values of a, b, and c? e. What are the coordinates of the foci? f. What are the…

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Q: Liquid sodium is being considered as an engine coolant. How many grams of liquid sodium (minimum)…

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Q: DIRECTION. Find the measurement of all sides and angles of the given triangle: a. A 13 0 C 4 B e. B…

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

Q: 2. Find a general expression for y given that dy 9x-2 = dx 3√x

A: Given: dydx=9x-23x

Q: 3.3.63 s=radians (Round to four decimal places as needed.)

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Q: For the equation, identify the amplitude, period, and phase shift and sketch (at least) one complete…

A: The given function y=sin2x+π. We have to sketch its graph by finding amplitude, period and phase…

Q: Given that cos(x) = -0.53, what is cos(-x)? Provide your answer below: cos (-x):

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Q: (3) ² What is the exact value of tan

A: Given trignometry function tan( 2π3 )

Q: The equation p=5000cos(π10t)+40000 describes the number of bats in a cave where t is the number of…

A: Note: Since the student has made a typing error in typing the equation, "p=5000 cosπ10t+40000",  the…

Q: After you have explored the graphs for a while, consider the function f(x)=1−2sin⁡[4(x−30∘)] and…

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Q: following statements. You must label and show all three steps. Step 1: Prove n = 1 is true Step 2:…

A: We have to use mathematical induction to prove above results .

Q: 5. Find , w and r for the similar triangles. 50 30 820 7/ 40 5 W 20

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Q: the addition and use the fu (sinx)/(1+cosx)+(1+cosx)/(sinx)

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Q: You are given that cos(A)=4/5, with A in Quadrant I, and sin(B)=24/25, with B in Quadrant I. Find…

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Q: Considering only the values of a for which 1 -? sec a tan a 1 sec a tan a is defined, which of the…

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Q: Given that tan(0) = 24 and 0 is in Quadrant I, what is cos(0)? Write your answer in exact form. Do…

A: INTRODUCTION Trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent…

Q: 16. Cot 300° = DEE niz

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Q: Complete the table with exact trigonometric function values. Do not use a calculator. 0 210° sin 0 ?…

A: we know  sin(π+x)=-sinxcotθ=1tanθsecθ=1cosθcscθ=1sinθ