30. Use the fact that lim x→0 sin x X = 1 (shown in video) to show lim x-0 1 - cos x X = 0

Q: Q4:B/Simplify [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's theorem?

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Q: Find y' for sin x+sin y = 1. Find y' for xcos y=sin(x + y).

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Q: Suppose f(x) and f'(x) have the following values. -7 -6 -5 -4 -3 4 -9 1 9 2 6 x f(x) -2 f'(x) 1 -2 3…

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Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: See this solution in below.

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

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Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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Q: The polynomial function A(t) = 0.0034031³ -0.03743t² +0.1029t+0.009 gives the approximate blood…

A: The polynomial function At=0.003403t3-0.03743t2+0.1029t+0.009 gives the approximate blood alcohol…

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. False O b. True

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Q: 6 5+ 4+ 3+ 2+ 1 0 1 2 + 3 R 4 5 6 y=x-4 ·x=y²+2

A: Given, Area of R is 103

Q: 1. Determine (i) the order of each differential equation and (ii) whether they are linear or…

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Q: Match each equation with its graph. (Do not use technology.) The x y-coordinate plane is given.…

A: see below the answer and explanation

Q: Given a function f(x) continuous xeR such that lim f(x)+log(1-1)-log(f(x)) = 0, then f(0) is <

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Q: variable, x, is x:2, 0.36, 0.21, 0.19, 0.10, 0.07 Calculate P(x >= 3.0) a. 0.47 O O b. 0.83 019…

A: Topic:- probability

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: This question can be solved by adding the values 0.21,0.19,0.10 and 0.07.  The detailed solution for…

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x+3)² and the line…

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Q: 3. Find all values of m so that the function y = tm is a solution of the equation 3t²y" +11ty' − 3y…

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Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A: False statement

Q: e monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it…

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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

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Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23,…

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Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. mean = 3; st. dev. = 1.414 O b.…

A: Let's find means and standard deviations.

Q: Q4. Choose two of the following: (a). If x = t - t² and y = t-t³. Find 2 by using Chain Rule. dx²…

A: a) x=t-t2 and y=t-t3 b) fx=1+x at x=3 c) fx=2a+x2,x≥12x+b,x&lt;1 is continuous at x=1and f-1=5 Use…

Q: 380. lim (x + 1) ¹/x x → 0

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Q: DEFINITE INTEGRALS Evaluate each of the following definite integrals: 21. ²(6x² + 3)dx 22. (4x+1)dx

A: To evaluate the integral.

Q: Needed

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Q: 20. What is the probability of an actually event? a. O b. 0 Insufficient data O O C. 1 d. Not…

A: We need to choose correct option.

Q: If y = arcsin(ln(3x – 4)), dy

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. O False b. True

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Q: Needed to be solved correctly in 10 minutes and get the thumbs up please show neat

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Q: Question 1 What is the exact value of csc 0_213 0 2√3 O 0-√√2 02 (167) ²

A: Let's find value of given trigonometric function.

Q: dy If y = arctan(er), dx

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: - 3 f(x)= x-2 2 if x 4 (a) Choose the correct graph below. ITPT▬▬ O Te C T ▬▬▬▬▬▬▬ Q O CHH do #fo 2…

A: Topic:- function

Q: Suppose f(x) and f'(x) have the following values. I 5 6 7 8 9 f(x) 14 18 8 6 11 f'(x) -3 7 -10 -9 2

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Q: Question Consider the region, R, bounded on the left by the line g(x) = x, on the right by the…

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Q: 5000 4000 3000 2000 1000 X 50 100 150 200 250 300 350 (b) What is the slope of the graph? 5000 (c)…

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Q: eliminate arbitrary constants 3x³ + y² = cy ✓.

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Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: nts. The results of 120 parts are summarized as follows. Length Excellent Good 84 12 15 9 Surface…

A: We  are asked to find the probability that the length is not excellent.

Q: Compute the definite integral. ? 0 6ex sin(x) dx

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Q: Wrong answer

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 6. (Modelling question.) The picture below shows the top view of part of a city layout. A utilities…

A: Let C be the point that is x meters away from A along the main street and D be the point that is 100…

Q: Q4) For the following function, determine whether u and v are harmonic (satisfy Laplace equations)…

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Q: for the following P.d.f of x, find the p(x<1) and p(x<1) .F(x)=x²/18 if -3<x<3 and 0 in other place…

A: Let's solve.

Q: 1. Determine (i) the order of each differential equation and (ii) whether they are linear or…

A: Given differential equations are  y4+y2+y=sint  y''+yy'=1

Q: need

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Q: Use the Distance Formula to find the distance between the two points in polar coordinates. (Round…

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Q: Book Problem 15 Find the average value of the function f(x) = -3x³ on the closed interval [-1,3].…

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