Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {2, 5, 8, 11, 14,...} an =

Q: 11. Prove the identity: tan²x tan²x + 1 = sin²x

A: Simplification

Q: Question 22 of 25 If f'(x)=+5 where f(1) =0, then f(3) = A)-12 B) 12

A: Solve the given function

Q: Write 11 Stan¹¹ iftan x dx in terms of 9 tan x dx

A: The integration of tan11x write in terms of tan9x.

Q: 4. Find all functions that solve the differential equations. (a) x' = te-2t (b) x' = 1/(tlnt). (c)…

A: To find the functions that solve all the differential equations

Q: K- Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  here we have A=60

Q: 5) -4<|2x+2 | ≤6 -a -2-2 -622x34 axs

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

A: See this solution in below.

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: B √√2 3 and D(3cos 0, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

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Q: Match column A with the correct answer on column B, write only the letter of your answer on the…

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Q: Find the following limits proving whether they exist or do not exist 5y¹ cos²x x² + y² C) D) lim…

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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: Consider the following graph. YA Determine whether the curve is the graph of a function of x. Yes,…

A: Graph of a curve is given, we have to find its domain and range

Q: Find the limit of the function lim x → − 6 ( 2 x + 12 /| x + 6 | ) .

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Q: A rectangular playing field is to have an area of 400 sq. meters. Fencing is required to enclose the…

A: Concept: Area of the rectangle is  A=length×width Fencing of the rectangle means covering its…

Q: 2 Write ftan² x sec⁹ xdx as a sum of integrals of odd powers of secant or cosecent. Start with the…

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Q: 15. The base of a solid is the circle x² + y² = 9. Cross sections of the solid perpendicular to the…

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Q: 4. lim ¹-cos 2x x-0 sin 2x

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Q: Book Problem 24 If F(x) = f(t)dt, where f(t) = Stº F"(x) = Note: You gon I √7+u² U du, find: and F"…

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Q: 18. The velocity, in ft/sec of a particle is given by v(t) = -16t+2. Find the position function s(t)…

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Q: Question Calculate the area, in square units, of the region bounded on the right by the line g(x) =…

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Q: Step 1 1 + In 2xy = e2x - y, (1/2, 1)

A: we will find the required.

Q: 1. Evaluate the following integrals. [*(1+cos x)dx f. apa *1-√u -du

A: To evaluate the following integrals.

Q: OE OF OA OB Ос OD The only horizontal asymptote of f(x) = A)y=0 E) y = In (3) B) y = 1 F) None In…

A: To determine the only horizontal asymptote of fx=lnxx.

Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =<2< 1. Calculate the expected value of z. a. b. C.…

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Q: wn is bounded by the line y = − 5x + 4, - -axis and the y-axis. y X

A: we will find the area.

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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Q: Find the limit using direct substitution. x-4-2 lim X-13 X

A: Find the limit using direct substitution limx→13x-4-2x=?

Q: 3. Consider f(x) = Inx and g(x)= ex. Determine (fog)(x) and (gof) Simplify your answer. a) (fog)(x)…

A: Topic:- function

Q: (a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c)…

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Q: plane

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Q: If y arcsin(4x4), dy da ||

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Q: The following table gives the number II(t), in millions, of adult Americans with Internet access in…

A: NOTE: Refresh your page if you can't see any equations. . t 2000 2003 2009 I 101 160 190 .…

Q: You will be scheduled to work 40 hours during the first week of summer. You can choose the method of…

A: To get the required answer we need to calculate the total payment in each choice.

Q: 5. The profit, P(x), of a video company, in thousands of dollars, is given by the equation P(x) =…

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Q: 1 Suppose y = tan ¹æ. Then x = y tan Otan y Oarctan y

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Q: (a) Prove, by mathematical induction, that for every positive integer n, 2²² =2²(n+1)²,

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find an expression for a cubic function f if f(5) = 60 and f(−1) = f(0) = f(6) = 0.

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Q: Find the solution of the given initial value problem in explicit form. 71 ㅠ sin(2x) dx + cos(6y) dy…

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Q: 1. Simplify: 3x x + 2 a) ÷ 6x² x2 4 b) (y - 3+√2 )(y+3+√2)

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Q: in a fish farm , fish are harvested at a constant rate of 2100 fish per week.the percapita death…

A: Given data:- The fish are harvested at a constant of 2100 fish per week, The given per capita death…

Q: 3. Find y' for y = cos(sin² x)

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

Q: Let lim f(x) = 4 and lim g(x) = 20. Use the limit rules to find the following limit. X-6 X→6 f(x)…

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

Q: Express 2187 as a power of 3

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Q: 13. Find the area of the region bounded by the graphs of y = x, y = -x + 8, and y = 0

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Q: i need the answer quickly

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Q: ¹{.(²-1)} = Q4. C-1 (a) cosht - 1 (b) (c) 1 2 (d) 1 - cosh t [cos 2t - 1] [sin 2t - 1]

A: Here, to find the inverse Laplace transform of the function: 1s(s2-1)=1s(s-1)(s+1) Now, using…

Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: у=х+5 6х

A: