Evaluate the following limi x2-5x+6 (a) lim x→3 x-3

Q: Q.11 Calculate the area of a triangle with: a = 8, b = 12 and an included angle of 78 °. 46,95…

A: Area of triangle with 2 sides and an included angle is given by: A=12·a·b·sinγ Area of triangle with…

Q: Two sides and an angle are given. Determine whether the given information results in one triangle,…

A: Let the angle of the triangle are designated as α=A, β=B and γ=C than we have given

Q: To find the distance AB across a river, a distance BC=313 meters is laid off on one side of the…

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Q: Below is the graph of a polynomial function with real coefficients. All local extrema of the…

A: Consider the graph of the polynomial

Q: For a triangle ABC, we have a = 5, b = 4, c = 2. When solving the triangle, we should:

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Q: tan (? + ?/4) = −√3.

A: tan(? + ?/4) = –√3 To find the value of ? in the equation : tan(? + ?/4) = –√3 we can use the…

Q: 4.20 m 100.0⁰ LL * 3.00 m RADIUS 7.00 m 4.20 m

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Q: Data is given to represent the number of each of the types of clubs three different schools in your…

A: We find metrics representation of given data

Q: Use the antiderivatives of trigonometric functions to evaluate the following. 7. f(secx+ sec² x) dx…

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Q: 3. In a triangle ABC, a = 51.6, b= 72.8, and ZB=80°. Solve the triangle using sine law. Round each…

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Q: Determine the length of side QR in the following triangle 13 cm 70 4 cm R Square QR²= 13²+ 4²-2…

A: NOTE: Refresh your page if you can't see any equations. . here we have PQ=13 cm PR=4 cm P=70

Q: Q.6 Use the following vectors to answer the question:   v: w: Which vectors, if any, are…

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Q: 3. Determine the value of x and the measure of angle 8. X 13 cm 12 cm

A: Trigonometric Ratios: sinθ=PerpendicularHypotenusecosθ=BaseHypotenusetanθ=PerpendicularBase…

Q: Consider a triangle ABC like the one below. Suppose that B= 129°, a=33, and c= 72. (The figure is…

A: B =129° a=33 ,c=72

Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

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Q: 30° A 12 cm B Find the perimeter of each triangle in the diagram. DO NOT PROVIDE DECIMALS. INTEGERS…

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Q: Analyze the polynomial function f(x) = x²(x + 2) using parts (a) through (e). www (a) Determine the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Write the equation of a sine or cosine function to describe the graph. EIN h HIN TU 11 ST l 2 Y

A: We use the given graph  General cos function is  y=Acos(Bx)+Dwhere A is the amphilitudeB is the…

Q: You and some friends ride the carousel at an amusement park. The carousel has a radius of 25 feet…

A: The method below shows how to figure out how far an object travelling in a circle has gone:…

Q: Determine the measure of the indicated angle in the following triangle 2 70 10² = 60² + 80²2 (60)…

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Q: Find the endpoints of the latus rectum of the parabola below. (y - 1)² (x + 2) Enter the endpoints…

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Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: Given tan 0 = 5, use trigonometric identities to find the exact value of each of the following. ec…

A: We are given tanθ=5 and using the trigonometric identities we need to calculate  sec2θ, cotθ and…

Q: ả = (-1, -3) and 6 b tā + busing t (5,4) Represent a + Use the Vector tool to draw the vectors,…

A: a→=<-1,-3>b→=<5,4>a→+b→=<-1+5 , -3+4 >=<4 ,1 >

Q: 9) Find the area of the image below: (2) - 30 in. -20 in. 20 in.

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Q: 5m 3 Zoom COS 1. Find the exact value

A: 1). cos2π-θ=cosθ 2). cos2π+θ=cosθ

Q: Solve the following equation for all radian solutions and if 0 st <2. Give all answers as exact…

A: NOTE: Refresh your page if you can't see any equations. .

Q: One of the solutions to 10 - 3 sin x = 13+ 7 sin x for -≤ x ≤ T is -0.17 O-0.84 O -0.30 O -0.85…

A: Part 1: We need to find one of the solutions to 10-3 sin(x) = 13 +7 sin(x) for -pi&lt;=x&lt;=pi.

Q: A certain bridge arch is in the shape of half an ellipse 132 feet wide and 32.3 feet high. At what…

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Q: 23.1-1+1-ash a ban:

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Q: = 3 sec (2+)- - 1

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Q: What is the height of a prism with a base area of 1.25 square meters and a volume of 2.56 cubic…

A: given, base area=1.25 square meters given volume=2.56 cubic meters

Q: Solve the following trigonometric equation in the given range. 4 sin 20 + 3 cos 20 = 0, where 180°…

A: Given that a trigonometry equation - 4sin(2θ) + 3cos(2θ) =0. We find value of θ, use interval 180°…

Q: Given u = −3i + 5j and v = −24i + 40j, are u and v parallel or orthogonal? Explain.  a The vectors…

A: Given vectors u=-3i+5j and v=-24i+40j. To determine whether the vectors u and v are parallel or…

Q: B. Use the given information to (a) graph the circle, then write the equation of in (b)…

A: Use The given information to (a) graph the circle  write the equation of the circle in (b) center…

Q: Given r = 6i − 7j and s = −7i + 4j, what is r + s?  a 13i − 11j  b −13i + 11j  c i + 3j  d −i −…

A: given,  r=6i-7j  and  s=-7i+4j

Q: 6. Natalia and Sun are 14.5 m apart and looking up at the top of a radio tower. They are on the same…

A: We have to find the height of tower. According to our guidelines we can solve only one question so…

Q: B(w, x) C(20, v) HT 13V2/45° F(s, 0) E(y, 0) A(0, 0) 30° D(z, 0) Find the value of z. DO NOT PROVIDE…

A: We are required to: Find the value of z.

Q: Evaluate the the following tan 7T 12 - 1+tan tan (1) 12 tan 5TT

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Q: 7. Two forest fire stations, P and Q are 20 km apart. A ranger at station Q sees a fire 15 km away.…

A: Solving the problem

Q: 6 6. Use special right triangle relationships to find all missing sides: 45° 60° 42 n u 45% 171 W…

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Q: halt lake, a surveyor has taken the measur across the lake using this information. C distance = 2.29…

A: This question related to properties of triangle Which can be solve by Cosine Rule

Q: Find the exact value of each of the following trigonomic functions of Sind 3, 180° <0<270° 5 Cose=…

A: Given :  sin(θ) = -35and, 180°&lt;θ&lt;270°   To find :  cosθ = ?tanθ = ?

Q: Which of graphs A-K is the graph of y = 2sinx?

A: y=2sin x The equation y = 2sinx represents a sinusoidal function with an amplitude of 2 and a period…

Q: Determine whether each infinite geometric series diverges or converges.  If the series converges,…

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Q: Find the area of the triangle. If necessary, round the answer to two decimal places. = 30°, b = 12,…

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Q: Sketch the curve of the parametric equation.   x=4sin t/2, y=4cos t/2.

A: we know that sin2(θ)+cos2(θ)=1 we use this information to sketch the graph of the given parametric…

Q: 15. n-1 Σ(3) 1

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Q: If cosA = and sinB = 3 then find sin(A - B) 1 with A in quadrant I, and B in quadrant IV,, 2

A: We know that the formula sin(A-B)=sinA*cosB-cosA*sinB

Q: Find the value of angle A that corresponds to sec angle A=1.3051. Round answer to the nearest 0.01…

A: secA=1.3051To find : Find the value of angle A.