dy Find for the following integral. dx y= 0 S COS X dt 11-1² 0 < X T

Q: Compute In (5x) [15 x (ln(5x))² 2 + C ○ 5(ln(5x))² 2 + C O 5(ln(5x))² + C O (ln(5x))² 10 + C O…

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Q: s ›) decide which of the following are geo- metric series. For those which are, give the first term…

A: The given series are a) 5-10+20-40+80......

Q: Acceleration during this time: a (t) = 55t4 +47t m/s² What values (to 2 decimal places) do you…

A: Given acceleration function: a(t)=55t4+47t m/s2Integration of acceleration to get velocity…

Q: Question 2 A kite, 30m high, is being carried away horizontally by the wind at the rate of 10m/s.…

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Q: > b) find a formula for s„, n ≥ 1. 1/3, 2/5, 3/7, 4/9, 5/11, ... 1/2, -1/4, 1/6, -1/8, 1/10,...

A: The series a is given by:- The series b is given by:-

Q: Find the length of one arch of the cycloid = 5(t — sin(t)), y = 5(1 — cos(t)). - X

A: Given that,.Now,

Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₂ = 1 x +…

A: we have given funciton , over the interval [1,6]

Q: 1 Graph the function f(x) = -x 1 X x 0

A: (1) To graph the following function.(2) To find the discontinuitie(s) of the above function.

Q: 14. Given the function f(x) graphed here. a. Evaluate f(0) b. Solve f(x) = 2 74 6- N

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Q: 1. Evaluate each limit: lim x+5 3x x² + 1 x-1 lim x1 x² + 2x - 3

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Q: Solve the initial value problem: y'+4y= 0 y(3) = 100 y(t) =

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Q: Estimate the area under the graph of f(x) = 49-² over the interval [-2, 6] using eight approximating…

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Q: If f(x) is even and 5 [₁(F(x) - -5 (f(x) 5) dx = 6, find 5 1³ F(x f(x) dx.

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Q: Given: ⇒ 6 tan x- - COS X 2 - 3 sin x -

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Q: A billboard designer has decided that a sign should have 3-ft margins at the top and bottom and 1-ft…

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Q: Given: (x is number of items) Demand function: d(x) = 4800 √x Supply function: s(x) = 3√x Find the…

A: Given: ( x is number of items)Demand function: d(x)=4800x.Supply function: s(x)=3x

Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C is the top…

A: Given the mass density of the wire is

Q: (x) = √√√√x, a = 4, n=2, 4≤x≤ 4.5 ) Approximate f by a Taylor polynomial with degree n at the number…

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Q: Using the table of standard transforms, find the inverse Laplace transforms of the following…

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Q: Solve for x. Round your answer to four decimal places. log (base4)x+ log (base4)( x + 4) = 8

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Q: 2. The sum of two numbers is -65. The first number minus twice the second number is -161. Find the…

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Q: If s(t) is the position of a particle in linear motion, then v(t) = s ′ (t) is the instantaneous…

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Q: You have been given the following system of linear differential equations: Determine the most…

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Q: Consider the vector field F = S.F Evaluate F. dr along the curve C: π r(t) = 2 cos(t)i +2 sin(t)j,…

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Q: Given: (x is number of items) Demand function: d(x) = 100 - 0.2x Supply function: s(x) = 0.6x Find…

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Q: Lrds x dy + y dx, where C is the arc of the curve с y = e for 0 ≤ x ≤ 6 Find

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Q: Let f(x) = 3x(3 − x)²

A: The given function is ;f(x)=3x(3-x)2Find the slope of the function and find the equation of the…

Q: Why for step 2 the formula nth term sum there is 2a instead of just a Sn= n/2 [2a +(n-1) d]?

A: To find the general term of the sequence of the gift amounts.

Q: kindly answer it

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Q: If 5 11 f(x)da = 9 then the average value of ƒ(a) on the interval [5, 11] is 3/2. True O False

A: Given a statement  if then the average value of f(x) on the interval  is

Q: A particle is moving with the given data. Find the position of the particle. v(t) = 1.5√/t, s(25) =…

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Q: The differential equation - 2e* cos(y) - 2² -2e* sin(y) + 4y ln(x) + 3y² Has solutions of form F(x,…

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Q: Let 3(x² + y²)² = 100xy a) Find dy/dx b) Find the slope at the point (3, 1) c) Find the equation of…

A: 3(x2+y2)2=100xy

Q: (a) (b) 12 in (1 + √5) In 3 In 2 (c) (24) (d) - In (1+√3) =)/In (1+ √5) √ √2+1 dx = ? In 2+√3

A: The given integral is

Q: Which one of the following Riemann sums approximates (10 + dx using 4 skubintervals X of equal…

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Q: Graph both the sequence of terms and the sequence of partial sums on the same screen. Use the graph…

A: Solution is following in step 2.

Q: If the demand function for pills is p = D(x) = - 4x + 47 and the corresponding supply Function is P…

A: To determine the producer surplus at the market equilibrium point, we first need to find the…

Q: Evaluate fy'da – a³dy, where C'is the boundary of C the region between the circles x² + y² = 4 and…

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Q: 90 ft (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to…

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Q: Compute √ 4x2 + 118 dx. (4x²-4x+10)8

A: The given integral is; (4x-2) /(4x2

Q: Do the sequences in Problem If a sequence converges, find its limit. 2n 3+e-2n converge or diverge?

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Q: Using the derivative of f(x) given below, determine the critical points of f(x). f'(x)=(x + 5)(x+2)…

A: By using the derivative of  given below to determine the critical points of .

Q: 3. For which x value(s) is ƒ(x) = = why. 10+ x x² -9 - 1 2x continuous? Explain

A: f(x)=10+xx2−9−12x

Q: Question 1. Let f(x) = (x³ + x² + 1)e ³+1 and g(x) = ex³+1¸ (a) Draw a rough sketch of the graphs of…

A: The given curves are   and

Q: da potential function for the vector field F(x,y) = (16xy + 8y - 2,8x² +8x).

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Q: Find the slope of the tangent line to the curve -4x² - 4xy – 3y³ = - at the point (−1, −1). -5

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Q: (2-2x) dx = 4, and 2-2x>0 when -1 sxs 1. Use this information and the principles of net signed area…

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Q: Find

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Q: d² y dx² Linear Equatoin/ variatoin parametee + y = tan x

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Q: Do the sequences in Problems If a sequence converges, find its limit. a) b) 1 n + ln n sin n n…

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