A kids Ferris wheel has 8 equally spaced cars. What is the angle of elevation of the child looking at the top car?

Q: Determine whether the following series converges or diverges: 2. 1. +00 Σ n=1 1 + sin2n] 10n +00 ΣΕ…

A: We need to determine whether the given series converges or diverges

Q: 5. From the top of a building a bicycle is seen. The distance between the bicycle and the base of…

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Q: 1. 8. (v³ - 3y + 2)√√9+x²dx + x²dy = 0 (x² - 1)y" + 2y' — (x − 1)(x + 1)² = 0

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Q: Consider the following differential equation to be solved by variation of parameters. 4y" - y = x/2…

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Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (10x + 4) = 44…

A: We have to solve the above problem of limit.

Q: 10. Solve the application problem involving a rational equation: Kasey can travel 8 mi upstream in…

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Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: A manufacturer can produce 2970 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: 52+45 lim x 9 x² + 13x + 36

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Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

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Q: solve for exercise 11, provide full and complete procedure

A: topic:- application of integration

Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

Q: The derivative of a function of f at x is given by provided the limit exists. f'(x) = lim h→0…

A: We can use the given definition to find the derivative as below.

Q: Consider the relation R defined on the set X={a,b,c,d} and Y={1,2,3,4} from X to Y, where R= {(?,…

A: Disclaimer: Since you have  asked multiple question ,we will solve first question for you . if you…

Q: a B Find: b = Note: Triangle may not be drawn to scale. Suppose a = 10 and A = 60 ° C= C B = b A

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Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

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Q: In which quadrant does the terminal point determined by t lie? Input I, II, III, or IV. (a) If…

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Q: where do these (encircled in red) come from?

A: I am attaching image so that you understand each and every step. Please take exact value then we get…

Q: (b) x-2º dr

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Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: 11. Evaluate: a) log135 b) log(log100000) c) log,9log,125

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Q: W -5 -4 -3 -2 -1 3 2 1 2 13 4 5 The function graphed above is: Increasing on the interval(s)…

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Q: Solve the initial-value problem for x as a function of t. (2t³ − 2t² + t − 1) = 0 dx dt = 3, x(2) =

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Q: Fill in each blank with an angle between 0° and 360° such that sin 200° = sin and cos 200° = COS

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Q: A truck with 22-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

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Q: 0302 1 0 01 0 0 2 03 0 0 0 1 2 1 -1002 2 a b C d 0(6+1)el 2 = 1 0

A: Given :0302110002010300121010020abcd7e=12101

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (x² - 37) = -1…

A: This is a problem related to limit calculation. Based on epsilon-delta limit we will answer.

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 84°.…

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Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Solution is given below:

Q: Find the domain of the following rational function. 20x² H(x)= + X O A. x² +2 Select the correct…

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Q: Give some examples atleast three where basic comparison test fails . Also investigate convergence of…

A: Given : we will given the three example where the basic camparison test fails.

Q: Σ k=1 (k!)² 5(2k)! Select the correct choice below and fill in the answer box to complete your c…

A: We need to find out that the given series converges or diverges by using the ratio test.

Q: 8. Which of the series converge, and which diverge?: n+1 (2) Σ S 3 (c) 1 1 + ln²n (Inn)² n³ (d) n 1…

A: Disclaimer: Since you have posted multiple sub parts of question , we will solve first three sub…

Q: myopenmath.com/ Write an expression in factored form for the polynomial of least possible degree…

A: Solution :According to graph it has 4 roots.so least possible degree of 4.yx=kx+4x+1x-2x-4graph…

Q: In each of the following cases, find the area of the region that lies inside the cardioid = 1+ sine…

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Q: Find the general solution of the differential equation. y (4) + 2y"+y=7+ cos(5t). NOTE: Use C₁, C2,…

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Q: Use logarithmic differentiation to find dy/dx. dx = y = x²16 x² + 16 Need Help? Read It X > 4 Watch…

A: Solve the following

Q: The price (in $) of a cookbook is determined by the number of cookbooks x demanded by consumers and…

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Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: +∞ Σ n=1 2-1 √n

A: Let's solve by using integral test.

Q: sertar Reproducción Find the coordinates of points P and Q that are contained in two non-parallel…

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Q: 1. Use the substitution method to evaluate x² S. VAI ³ + 50° dx

A: Here we have to find the integral using substitution method.

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: To answer the given questions using the given graph. Note that, the range of the function is:…

Q: Find the coordinates of a point on a circle with radius 10 corresponding to an angle of 55° (x, y) =…

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Q: The photic zone of the ocean is also known as the sunlight layer. It is the region in which phyto-…

A: This is a problem related to variation in photon emission curve. Please follow the general procedure…

Q: Evaluate the integral: dw J 2000 5 W8 W8

A: I have stated the used formulas in the solution

Q: During each cycle, the velocity v (in meters per second) of a robotic welding device is given by 2 v…

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Q: If f(x)=√x + 10 and g(x) = 6 f(x) find g(x) F

A: To find out fxgx

Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: Write the first five terms of the recursively defined sequence. 12 ak 2² a₁ = 4₁ ak + 1 Step 1 Note…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.