Find an equation of the plane that passes through the points P, Q, and R. Р(5, —3, 4), Q(3, -5, —6), R(6, 0, 0)

Q: Note: Triangle may not be drawn to scale. Suppose a 4 and A 20 degrees. Round answers to one decimal…

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Q: Solve the following triangle. B = 108°, C = 47°, c = 22.5 feet A = (Simplify your answer.) feet…

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Q: Write a function of the form y =A sin (Bx-C)+D that has period 4, phase shift -1, and the range -12…

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Q: Solve the triangle ABC. B 11.4 106 14.4 Find the unknown side b, the side opposite angle B. b =…

A: AB=c=11.4BC=a=14.4∠B=106°Using cosine law;b2=c2+a2-2ac cosB   =11.42+14.42-2(11.4*14.4)…

Q: origin of a coordinate grid is labeled A. Line segment AB forms an angle of 30° with the x-axis. If…

A: Answer :    Coordinates of B is (6.93, 4).

Q: Find the dihedral angle formed by any two adjacent faces of a regular octahedron if one edge is…

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Q: Find T(t) and N(t) at the given point. r(t) = 6 cos(t)i+ 6 sin(t)j + tk; t= T NG)

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Q: The angle below measures 5.8 radians, and the circle centered at the angle's vertex has a radius 2.3…

A: Any point (x,y) on the circumference of circle can be given as, x = r cos(theta) and y = r…

Q: Verify the identty sin 0- cos 0 tan 0- cos 0+ sin e Write the left side of the identity in terms of…

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Q: 4) In AABC, a = 6, b = 8, and mLA = 35°; find mLB . Round angle B to TWO decimal places.

A: We have to find the value of angle B.

Q: Find Jul, Iv], |2u], v, lu + vl, ļu – vl, and Ju| - |vl. u = 5i + j, v= 4i – 3j Jul = |v| = |2u| Ju…

A: Given: u=5i+j, v=4i-3j We know that if a= xi+yj+zk then a=x2+y2+z2

Q: 15. Parameterize the line from (4, 1) to (6, –2) so that the line is at (4, 1) at t = 0 and (6, –2)…

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Q: the angle, in degrees between 0 and 360∘, which intersects the unit circle at the point (−2√2,−2√2)

A: We have to use properties of unit circle to solve the problem

Q: Convert the given polar equation into a Cartesian equation. r=9sinθ+4cosθ

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Q: Compute the following value. sin3(14)

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Q: (a) Find the volume and surface area of the box. Make sure to include the correct units. Volume:…

A: Given:    Length (l) = 10 cm      Width ( w ) = 7 cm       Height ( h ) = 11 cm

Q: Prove the identity. cos8x+cos2x / sin8x+sin2x = cot5x

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Q: cosA cosB cosc 7) Use the Law of Cosines to prove the following identity z° +z9 +zD a b 2abc

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Q: Consider the right triangle shown below. a. Use the Pythagorean Theorem to write an equation…

A: Since, you have posted a question with multi-parts. As per guidelines we"ll solve only first three…

Q: Prove the identity. cosx/1-sinx - 1/cosx = tanx

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Q: Write the complex number in rectangular form. 8 cos -+ i sin 2 8 cos ,+ i sin - (Simplify your…

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Q: 00 00 Carry out the indicated algebraic operation. (If not possible, enter IMPOSSIBLE in any cell of…

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Q: What is the curved surface area of the cone (the base is not included) if the radius is 10cm and the…

A: topic - Curved surface area and area of base of cone r= radius of cone h= height of cone s=slant…

Q: Let cos os (x) = 1//5 with r in QIV. Find cot (2r).

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Q: Solve the triangle. a a = 11, b= 18, c = 20 A B (Type your answer in degrees. Round to one decimal…

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Q: Find all solutions to the equation below in the interval (−14π,0]. Give all answers as exact values…

A: Solution…

Q: The diagram below shows an angle with an unknown measure of 0 radians and a circle with a radius 2.4…

A: We have to find the measurement of length.

Q: the system of linear equatic - = t. If the system is incons 2x - 3y + 5z = -9 4x - y - 2z = -24 -X -…

A: Find the values of x,y and z.

Q: Use any technology program of your choice to find the point of intersections of the following two…

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Q: 6. Find all the solutions to 2 cos (2x)-130 on 0<x<27

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Q: Find the area of the parallelogram determined by the given vectors. u = 6i – j + 2k, v = li + 2j -…

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Q: Apply your understanding of trigonometric relationships from the Law of Sines lesson to the…

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Q: 1. The solution to the equation 5sin0 – 2 = 0 over the interval 0, is (nearest hundredth) 2. The…

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Q: Find the dot product of a & b when a = 8i + 3j and b = -4i - 6j

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Q: Question 1 QE CA - {A, C}, R E AB - {B, A} such that AP, BQ, CR are concurrent. Let QR, RP, PQ meet…

A: We have to prove X, Y, Z are collinear.

Q: Prove the identity. cos(x-y) / cosx cosy = 1+tanx tany

A: We have to prove the above question

Q: Solve the equations algebraically. Give exact values. a) cos(20) + cose = 0 0 < 0 < 27n 00000 b)…

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Q: Solving Quadratic Equation by Completing the Square 3) x² - 12x + 32 = 0 Move constant term to the…

A: x2 -12x +32 = 0 here we make part of -12 as  -4  ,-8 x2 - 8x -4x +32=0 x(x-8)-4(x-8) = 0 (x-8)(x-4)…

Q: B 100 A Solution:

A: We can answer the question as below to find the value of x.

Q: Suppose that u = – 2i – 5j and v = - 3i – Compute the given linear combination of these two vectors.…

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Q: Find the volume of a cone with height of 12 in and a base radius of 5 in. Do not round. Be sure to…

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Q: 2sin (x) =sin (x)

A: Given: 2sin2x=sinx

Q: Find the magnitude of the projection of (- 5, 6) onto the vector (– 1, 0)

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Q: 67. 2 sin 0 cos e

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Q: The function f(x) = 7x + 5 is one-to-one. a. Find an equation for f, the inverse function. b. Verify…

A: the given problem is solved below in detail.

Q: Question 12 Write the vector v in terms of i and j whose magnitude v and direction angle 0 are…

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Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference.…

A: we have to express given as a sum or difference.

Q: Question Solve for -8sin²0 – 5 = -13 and 0 < 0 < 2r. List your answers as exact answers in terms of…

A: Here we have to solve       -8sin2 θ - 5 = -13 and 0&lt;=θ&lt;2pi .

Q: The Tangent of the angle is 3/7 71

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Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u = -i + 4j, v =…

A: Given that       u = -i + 4j   and  v = 3i - 2j  Here we have to find the angle between the given…