find a unit vector in the same direction as v=<-10,-4>

Q: simplify and write the complex number in standard form 11) (5 + 2i) + (6 - 7i) 13) (-2 - 4i) - (5…

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Q: write complex number in standard form. 2) √(-64) 4) √(-27)

A: we use the following formulas.The standard form of a complex number is a+ib

Q: a) For the geometric series 2+6+18+54+...,find S8

A: For the geometric series , to find .Note: Since the student has posted multiple questions and does…

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y = sin 2x

A: We have to construct the graph for the given functionPlease select text to grab.

Q: Evaluate the following expressions. The answer must be given as a fraction, no decimals. If the…

A: The given trigonometric ratio is  and also given that the theta is in second quadrant.

Q: (b) The diagram below shows APQR such that PQ-4, QR = x, PR=q, and ZPOR= 60°. P A 4 60° Q (i) Show…

A: note: as per guidelines we support only three subparts of the questions .

Q: For each angle below, determine the quadrant in which the terminal side of the angle is found and…

A: We have to find the quadrant and it's reference angle

Q: Find all the complex cube roots of w=125( cos 270° + i sin 270°). Write the roots in polar form with…

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Q: A student is working with the following equations loga 64=3 and log16 b=3/2, the value of loga b-…

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Q: write the complex number in standard form 3) √(-98) 5) √(16) + √(-81)

A: As we know that

Q: Find all the square roots of 1+3i Give answers in a+bi form. show process

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Q: The height of a ball is modelled by the equation h(t)= seconds. What are the highest and lowest…

A: The height of a ball is modeled by the equation where  is in meters and  is in seconds.The aim is…

Q: Evaluate the following expressions. 3 cos sin (1³) 2 tan (sin-¹()){

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Q: if log¿ ï = 0. 4, then log, (ba X is:

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Q: Calculate cos(x) cos(y) + sin(r) sin(y) if x - y = 1. 동 0-호 ㅇ를

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Q: || sin(x - x) sin x + π 2

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Q: Find the value or state that it is undefined. In the latter case, enter "DNE". sin(arcsin (-0.57))

A: The given expression is .Find the  value of the expression.Use property:..

Q: Find the exact value of the expressions cos(x +B), sin(x +ß) and tan(x +ß) under the following…

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Q: A sinusoidal function of the form y = sin(kx) has a period of 2. What is the value of k? O 2π 02 02…

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Q: With polar coordinates (3, -1), find (r, θ) for r>0 and r

A: The point in Cartesian co-ordinate is given by .

Q: (c) Suppose one of your peers asks you to help them solve the following question: Solve: sin = cos…

A: I have appended the formula used in the solution procedure part of the question

Q: A bridge is built in the shape of a semielliptical arch. It has a span of 120 feet. The height of…

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Q: A slider crank mechanism is shown in the figure. Find the distance between the wrist pin W and the…

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Q: - 3251 +1761 +2121=67 1 2 3 3691 +51712+721¹1 3=1 3271 +225 +2047 = 164 3 1 2

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Q: use the half-angle identities to find the exact value of each trigonometric expressioon 25) sin 75…

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Q: For the rectangular coordinates 3 3√3 22 3√3 |--23-³42³) O B. (a) Choose the correct plot of O A.…

A: To find the location of the point we should know the sign of x and y co-ordinates in each…

Q: Find the power. Write the answer in rectangular form. (-3+3i√√3)4 (-3+3i√/3)*4 = (Simplify your…

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Q: Determine the value of e in the equation cos(20) + sin² (0) = cos²(0)+30 - 6. 06 cos(20) 00 2

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Q: A rocket is launched from the ground with a velocity of 36 feet per second at an angle of 60° with…

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Q: Solve for the unknown degree in triangle below 9.4cm 5 25 30 32 51 6cm

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Q: use the power-reducing identities to write each trigonometric expression in terms of the first power…

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Q: write each trigonometric expression in terms of a single trigonometric function. 1) 2sin 2acos 2a…

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Q: What is the arc length if the central angle is 2250 and the radius of a circle is 3 cm? 2.4 cm 2.25…

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Q: The following problem refers to triangle ABC. Find the area of the triangle. Round to one decimal…

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Q: Sketch the graph of the following function. f(x) = 3 cos(x) 4+ 3 2 1 -1 -2 -3 -4 TT/2 ← 5 3π/2 2π

A: we can sketch the graph of  as follows:Start by drawing the x and y axes on your graph.Mark the…

Q: Determine the inverse equation of the function f(x)=2(x-3)^2+8. Show all of your work. Complete your…

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Q: Prove cos - sine cos + sin sec 28-tan 20.

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Q: perform the indicated operations, where u = 3i - 2j and v = -2i + 3j 35) ||u - 2v||

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Q: verify the given identity 79) sin2(x)/(2) - cos2(x)/(2) = -cosx 81) sin2x - cosx = (cosx)(2sinx-1)

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Q: Sketch the following function f(x)=2sin(3x-90)-2   Describe the amplitude, period, phase shift,…

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Q: consider a triangle ABC like the one below.suppose that B=129,a =33,and c=72.(the figure is not…

A: The solution is shown in step-2

Q: 2 Amplitude 4 -4 + + -2 -3 TT/2 E TT 3TT/2 Period 2TT return this question to its initial state…

A: y= 4sin(x)We have to construct the graph of y

Q: 1. State the range of the graph shown on the right. a) (-3≤y≤o: y = R} b) {-4≤y≤o:yER} c)…

A: Range is the set of y values corresponding to X values of domain.

Q: A person waves his hand back and forth, where their finger tips move past the starting position 4 cm…

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Q: Find all solutions if 0°≤ 0 < 360°. Separate your answers with commas and do not enter degre…

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Q: Use a sine function. Vertical Shift Amplitude Period Horizontal Shift EQUATION:

A: use the form asin(bx-c)+d from the graph we have seen that the maximum value it attend is 5 since…

Q: Solve for the unknown where 0<x<2pi. 4csc 2x+12 = 4

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Q: 3. determine f(x) = the value of c such that the function f(x) is continuous √x+1, x>-1 x² +c, x ≤…

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Q: find the exact value of each expression. do not use a calculator. 13) sin(13pi/12)cos(pi/12) 15)…

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Q: 24. Sketch one cycle of the function of f(x) = -4 sin ¹ (²3 x 2x+1)+ 1. Use the mapping rule or…

A: Solution is given below.