Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the locus of the third vertex (x,y) of an equilateral triangle consists of 2 lines, y + a = ±v3x

Q: 2. A sample of size n is taken from the ponulation which has an unknown distribution with mean and…

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Q: QUESTION 4 What is the probability that 6 spins are pointing up in an 18-spin system? Your answer…

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Q: 3. Hannah's cell phone had 72% battery life remaining when she went to school this morning. During…

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Q: 4. A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a…

A: first of all we will establish linear relationships using the given facts and after that we will use…

Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du…

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A: Velocity time graph given in the figure.  Initial position=10 Find the position after t=5 And total…

Q: 4. Evaluate 22 dz along the contour C given in the figure 1. 1+i Figure 1 5. Evaluate $ (22 – z + 1)…

A: Integral of f(z) = z2 ( an analytic function ) over a simple closed curve contour C is zero by using…

Q: Write the expression as a complex number in standard form. I) (-8 + 8i) – (2 + 4i) 2) (8i) + (-4 -…

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Q: Find the Maclaurin Series of the following functions. sin(x²) 1 cos? (x) 4 sinh(x) 7

A: The solution is given as

Q: The grouped frequency table below shows the results of a statistics test taken by 70 students. Test…

A: Solution: The grouped frequency distribution table is given showing the results of a statistics test…

Q: 3. Find the equation of the line that goes through the point (1, 3, 2) and is parallel to the line…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Question 8 Integrate the function. dx V9 - x2 COs:1 X+C 2 cos x+ sin x+C D sin *-C Question 9 413

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Q: 4. Suppose that you work part-time as a sales representative at a car dealership. You earn a base…

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Q: 3) What is the adjacency matrix Ac for the following graph G based on the order of the vertices a,…

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Q: Integrate the function. dx Jzx (1+x) A sin-1 +C tan-1 C In |x|•C D tan-1 .C

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Q: The marks scored by 25 students in an examination is recorded as follows. 15, 18, 22, 34, 45, 21,…

A: The frequency distribution table from part 1 is Class Interval Frequency 9-15 2 16-22 7…

Q: 4 and 5

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Q: What is the inverse of the statement: "An ideal woman has a motherlike attitudes."? O If she's…

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Q: Directions: Find the area of each figure be! 4. A= 7a2b 3ab 11a2b 5. A= 3xy

A: