Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 20' 25' 30' 35' 40

Q: Find the solution to the differential equation dz 2te12 dt that passes through the origin.

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Q: SIT x y z dx dy dz Evaluate 0. O 3 0 4 0 1 O 2

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Q: ,(KGR) ther wise (a) Calculati te pointwise limit fen)alim fca).

A: Given

Q: Solve for t e2t+ 4et + 4= 0 e2−4t + 5 = 20

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Q: Both please

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: VIn 2xe** cos (e**) dx Q5:A/ Find

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Q: An inverted conical water tank with a height of 14 ft and a radius of 7 ft is drained through a hole...

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Q: Given a function whose graph is shown below. The function is continuous on[1,3]. Always True 1. O So...

A: The given graph shows that - The given function has a non removable discontinuity at x= 2 ( Non remo...

Q: 00 (x – 5)" For what value of x does the series converge? n n=0 (4,6)

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Q: The polar coordinates of a point are given. Plot the point. (9. ) n/2 10 7/2 10- 5 -5 -5 -5 - 10 T/2...

A: Consider the polar coordinate  9,5π4

Q: G. Find the derivative of the following functions using the limit definition. 1. g(t) = 2-5t 5t+2 2....

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Q: V. Show that: 1. [(cosx-sin x)'dx = x+ cos 2x +C 2.

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Q: Find: Jy (完)。 (2) X. dz W=X+y - そ + Sin Z

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Q: If sin(a) and a is in QII, and cos(ß) = and B is in QIV, find cos(a+B)

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Q: Find the value of a that will make the function continuous at every real number. x*, f(x) = {ax? + a...

A: We have to find the value of a that will make the function continuous at every real number.         ...

Q: 1 -dx is equals to: x0.3 The integral x0.7 +C 0.7 Select one: O True O False

A: the integral of above equation is:-

Q: Bessel's Function Find Jg (x), JE cx)

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Q: Consider a minimal threshold value for a species to survive, T. One way to add in this factor to the...

A: The answer is shown in below steps.

Q: 5. The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 3t3 – ...

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Q: Find the difference quotient and simplify your answer. f(x) – f(64) X – 64 f(x) = x2/3 + 1, X # 64

A: We know, (a²-b²)=(a-b)(a+b) (a³-b³)= (a-b)(a²+ab+b²)

Q: The solution of the following homogenous differential equation y' = is x+y :- · In(y) = C y + In | =...

A: Differential equation

Q: Evaluate: lim ex O a, undefined or oc Ob.0 Oc 1 O d.-1

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Q: A scientific sample of radium-2 decayed to 81% of its original amount after 2 years passed. Figure o...

A: Find your answer below 

Q: +00 2 en-3 3 n=1

A: Let's find. 

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: Find the quotient. Cos(pi)+isin(pi)/cos(5pi/6)+isin(5pi/6)

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Q: Find y' and simplify: y = cot(tan x³) - %3D -3x²sec? x 13 y' = 1+tan?x3 %3D X. 3x2sec? x3 y' = 1+tan...

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Q: The table shows the results of a survey on the average amount of money d, in dollars, consumers woul...

A:  Given: X Y 25 42 28 36 33 26 35 22 42 8 Straight line equation is d=ax+b The normal...

Q: Find an integrating factor and solve the equation у da + (3гy — e Sу) dy %3D 0. -

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Q: Evaluate the integral by first performing long division on the integrand and then writing the proper...

A: Given problem:- Evaluate the integral by first performing long division on the integrand and then wr...

Q: 100 4. If En=1 an converges absolutely, then n=1 an converges conditionally (C). 1 For p > 1, the ro...

A: Theorem : If the series ∑n=1∞|an| converges, then the series ∑n=1∞an also converges.                ...

Q: d²y dx2 + 4 + 5y = 2e-2", y(0) = 1, y' (0) = -2 dx

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Q: Q2:B/ Find dy/dx f Via - "sin Vi dt y = + cos t dt

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Q: Given that y = (1In(x))?m(=), find dy using the method of logarithmic dx differentiation. dy dx ||

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Q: dx Evaluate the integral V1 + 9x² 1)

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Q: Find the differential of the function y = f(x) . f(x) = (5x² + 7)/3 dy =

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Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) 3D Зх — 4 (...

A: solution is given below.....

Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

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Q: Find the time functions for each of the following Laplace transforms using partial-fraction xpansion...

A: As per our guideline, we are advised to solve first 3 subparts of the question . So please ask other...

Q: An angle measures 2.4 radians and the initial ray of the angle points in the 3-o'clock direction. A ...

A: Please refer to the image below 

Q: 181?action=Donresume&submissi G(x) = tan t dt. %3D G (1)=| G' (0) %3D G' (주) =

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Q: applying lim 6-ydy can be eliminated by The infinity in the V6-ydy t-- 80 O True O False

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Q: Find Zx if z = In. In y 1 – In y Z x Zx = 1/x In y

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Q: y = 4+t-y, y(0) 1 (a) Find approximate values of the solution of the given initial value problem at ...

A: Let's find. 

Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 "" dz = 2="c** - "/2...

A: Here we have to use the reduction formula to evaluate the following integration.  a) ∫x3e2xdxb) ∫x2l...

Q: Given a function whose graph is shown below. 3 The function is continuous on[1,3]. Always True 1. O ...

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Q: Given a function whose graph is shown below. The function is continuous on(-1,0]. 14 Always True Som...

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Q: 7. If y = 6e, then y' = 30e*. The derivative of a product will never be equal to the product of deri...

A: Given,  f''(c)=0  On integrating both sides, ∫f''(c)=∫0 dc ⇒f'(c)=0 Where 'c' is a real number

Q: Find the volume of the solid with the base is the region enclosed by the parabola y = 1 – x? and the...

A: Let's find.