Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

Q: 6 6 iwen ["r*dz = 320, x³ dx x dx 16, dx = 4, evaluate the following using properties of definite…

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Q: Find the equation of the sphere

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Q: 10. Determine if the series converges or diverges using a Comparison test based on a Taylor…

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Q: Find the inverse of the function on the given domain. f (z) = (x – 14)2, [14, 0) f-1 (2) =

A: The given function is;  f(x)=(x-14) 2,[14,infinity).

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: ∫z6z7+2dz

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: Use function composition to determine if f (x) and g (æ) are inverse functions. f (x) = Vx+I and g…

A: f(x)= x+13g(x)=x3+1Let y=f(x)y=x+13cubing on both sidesy3=x+1x=y3-1since y=f(x), so…

Q: Consider the limits. lim f(x) = 6 x→7 lim g(x) = -8 Evaluate the limit using the limit law for a…

A: Evaluate the limit using the limit law for a quotient

Q: Find the length of the arc y = 8. 1 from X = 1 to x = 4. 4x www

A: Given

Q: Solve the integral using wallis formula.

A: This question is related to definite integration, we will solve it using given information.

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: topic- derivative of a function

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x? – 3x + 229, where a…

A: Given; C(x)=0.01x^2-3x+229                R(x)=429-2x

Q: The solution of the differential equation below is dy 3y + 4x = 0 %3D dx *

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Q: Evaluate the limit. 12 lim x-5 x2 + 2x – 35 5 Give your answer in exact form. If the limit does not…

A: topic - limits

Q: TC 2 esin(xdx, for n=8 Evaluate: using (a) Trapezoidal method, (b) Simpsons Methoe

A: For (a), Trapezoidal Rule:

Q: Evaluate: 2 esindx, for n=8 using (a) Trapezoidal method, (b) Simpsons Method

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Q: Choose the correct word to fill in the blank for the following theorem. "If f(x) is on [a, b), then…

A: To solve the following problem

Q: f (x) = arctan(x) Consider Using the given f (0.75) by making use of function at approximate the…

A: This is a problem related to series expansion. Based on the general formula and concept we will…

Q: Find an equation of the plane through (-7,2,1) that is perpendicular to the line x - 2 = 3t, y +3 =…

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Q: Find the derivative of the function at Po in the direction of A. g(x, y) = x- (y/x) + V3 sec (2xy),…

A: we have to find directional derivative.

Q: Find the inverse of the function on the given domain. f(z) = (x – 14)2. [14, 0) f-1 (2) =

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Q: Find the inverse of the function. f (x) = 14 – 5x³

A: Topic = Function

Q: 8. Evaluate the limit of (4x^2-x)/ (2x^2+4) as x approaches a. a. 2 b. 4 с. а

A: We have to find limit.

Q: Find the limit.

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Q: Given the following functions: f(x) = cos(x) g(x) = x'7 + 1 Find f(g(x)) and (f(x). (Use symbolic…

A: The given functions,  fx=cosx  gx=x17+1

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: Use the formula k(t) : ||r() × r"(t)|| to find K(t). %3D r(t) = t²i + t®j %3D

A: Given that,     r(t)=t2i+t9j

Q: Identify the graph of the curve by first sketching the graph of r as a func Cartesian coordinates. r…

A: r=2-2cos(θ)

Q: Find the inverse of the function. f (x) = 14 – 5æ3 -

A: To find the inverse of the given function.fx=14-5x3

Q: Find the volume of a cap of a sphere with radius 50 and height h = 3.

A: volume of sherical cap with radius given r=50 and height=3

Q: Find a formula for the nth term of the arithmetic sequence. 26, d = 8 a1 %3D an

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Q: 269. A bomber plane, flying horizontally 3.2 km above the ground is sighting on at a target on the…

A: We have to find the speed of plane.

Q: 254. The sides of an equilateral triangle is increasing at rate of 10 cm/min. What is the length of…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: A company's marginal cost function is where x is the number of units. Find the total cost of the…

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Q: = ky dx x = eky y =e-kx Option 2 Option 4 y = ekx x = e-ky Option 3 y=ekx

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Q: C. Determine the Laplace transform of 1. F(x)= x2 2 f(x) = e®, a €R 2.

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Q: dz Find if z = 16x5 – 18x³y3 + 9y – 4. %3D ay az %3D ду

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Q: Find lim f(x) for the given piecewise function. x-6 2x + 1 if x 6 If the limit does not exist,…

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Q: 13. Table 1 lists enrollment in US degree-granting instutions for both undergraduate and graduate…

A: We need to solve scatter plot problem.

Q: Mathemades Exercises Find the solution of the following Differential Equations 1) 4y+x'y=0, K0) = 2,…

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Q: Audrey Aden Find polar coordinates to represent (-2, -2) with r >0 and 0 <0 < 2T. Find polar…

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Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: 125 and y = 10. y? y = x, x =

A: answer is in next step

Q: Solution :- we have Fla) =5 cas 2x %3D Now di'fferentiate it wot x x d (cos2x) %3D Źx(-2sin2x) %3D…

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Q: Determine which inverse trigonometric function g has the derivative g' (x) : = -- (Use symbolic…

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Q: Suppose that the position of a particle is given by s(t) = 4t + 5t + 9. %3D (a) Find the velocity at…

A: The position of a particle,    st=4t3+5t+9

Q: taylor tan)

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Q: Find the area of the region enclosed by y 1.25x and x 3.5 — у?. -

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Q: Show that fu,, u2, uz) is an orthogonal basis for R. Then express x as a linear combination of the…

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Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply &amp; divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)