Find the first six terms of the recursive sequence. a₁ = 1, an+1 = 3 - an a₁ a2 = a3 = a4 = a5 = a6 = = ||

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

A: This is a problem related to probability. Please follow the procedure given below.

Q: lim sec O 0→→→I+ 2

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Q: Write ftan¹¹ 11x dx in terms of ftan" a da 4

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Q: Non-exacr or first order linear DE

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Q: Q5: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given the differential equation is y''-5y'+6y = x2e-2x

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: need

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Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

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

Q: Q2:/ Sketch the region (R) of integration SSR x² dydx and evaluate the integration. Then reverse the…

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Q: Simplify the following: 5 2 + x² + 5x + 6 x² + 4x +3

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Q: Determine if the graph is a function. y=x²-4x-5 Using the vertical line test, is this the graph of a…

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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: For the function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x), (C) lim…

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Q: If y = arcsin (e-32), dy dx ||

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Q: If an investment decreases 1% the first year, 6% the second year and 9% the third year, what is the…

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Q: 7. State the restrictions on f(x) 2x 3x-6

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Q: If y = arcsin(- 5x + 1), dy dr

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: 17. f(x)=- a. b. C. d. lim lim (x-2) lim f(x)= lim x-2 /(x)= f(x) =

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Q: The probability P (0.5<x<5) is 0.5 O a. false b. true O

A: This is a problem related to probability. Please follow the procedure given below.

Q: Find the solution of the given initial value problem. cost Y(T) = 0, t5 y(t): = y' + 5 t> 0

A: Given problem:- y'+5ty=costt5 , yπ=0

Q: DUE NOW. Please answer all the script part as the same as the process on what's in the sample…

A: The objectives are: Now we have to make a script as the following;

Q: Find the points on the curve where the tangent is horizontal or vertical. (Enter your answers as a…

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Q: Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.…

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Q: and the general solution of the following equations: f y'+(4/x)y=x* ---by linear method

A: Topic: application of integration and differential equations

Q: 2. If x² - xy + y² = 3 find y' and y".

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Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

Q: 1. Find the limit if exists or show that the limit does not exist 1-cos(x+2y²) (x+2y2)2 (a) (b) lim…

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Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: Q3. Choose three of the following: n i. Find limn→∞ (1+¹). ii. Find the domain and rang of y =…

A: In this question we have to find the following part of question 3.   NOTE: As per our policy we can…

Q: Solve the nonlinear inequality. Express the solution using interval notation. x+1+x+4 so Graph the…

A: Please see the below picture for detailed solution.

Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: Find the derivative. g(t) = 7/ square root t

A: We have to find the derivative of the function  gt=7t.

Q: Show that is the inverse of A 2 5 ¦ ¦] -- [_ 3 185 41 -88³-

A: We need to show that B is inverse of A.

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: See this solution in below.

Q: Book Problem 1 Sketch the graph of the function f(x) = Let g(x) = f(t)dt. (a) Then g(-6) = g(-3) =…

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Q: determine the,unknown function and the independent variable in each of the following differentail…

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Q: 13. f(x)2(x-4Xx+3y³ a. b. C. lim x-2+ f(x) = f(x) =

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Q: A torus is formed by revolving the region bounded by the circle x2(squared) +y2(squared) = 4…

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Q: Find the domain of the function. (Enter your answer using interval notation.) 3x³-1 x² + 3x - 18…

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Q: Let lim f(x) = 19 and lim g(x)= 16. Use the limit rules to find the following limit. X-9 X-9 lim…

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Q: Solve the given initial value problem. O x¹y² + xy³ = -18 O x¹y² - xy³ = 36 x³y² + x³ = -18 O x¹y² +…

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Q: If y = arctan (4x² + 4x + 5), dy dx

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Q: If f¹ f(x) dx = 3 and 5 f¹ f(x) dx = 25, then ff(x) dx A)-2 B)1 C)-1 D) 2 E) 8

A: We have ∫3-1f(x)dx=3, 5∫31f(x)dx=25  We have to find ∫-11f(x)dx=?

Q: 1. Find the following limits proving whether they exist or do not exist y² sin x X E) F) lim (x, y)…

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Q: 2. Use implicit differentiation to find tangent at the given point: (a) xy + y² = 3-3x² at (-1,1).…

A: use implicit differentiation, I try to provide typed solution, if it is helpful like it.

Q: 10. Evaluate 0 X √x² +36 dx

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Q: 13. The temperature in our school is modeled with this equation: T = 4cos(30(t−8)° +18. T = the…

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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: This is a problem related to probability distribution function. Please follow the procedure given…