Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k + 7 k(k + 8) k=1 O conditionally convergent O divergent O absolutely convergent

Q: x = -1 if y=u° +5u – 4 a

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Q: Find the in ter vals onwhich Fare? (M [ncreasing and dec reaglny W concareuf and concave down and th...

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Q: Consider the following sequence: (a,) = {n – n²} n-1 Use an+1 - an to show that the given sequence (...

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Q: An+1 to determine if the sequence { ne" } is strictly increasing or strictly decreasing. an Use the ...

A: By see this solution in below

Q: the derivative of y with respect to the given independent variable.   y=(sin5x)^6x

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Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle betwee...

A: 1) (1,2,3) and (1,0,0) angle cosθ = A*B/[A][B]            cosθ = (1,2,3)*(1,0,0)/(12 + 22 +32)(12 + ...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)*+1 5k

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Q: Use L'Hopital's Rule to evaluate the exact value of lim(x² – 2x+1)*-1.

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Q: I Y=t5メPYove th y-2(21くるど

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Q: Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a fun...

A: Solution is written in below steps.

Q: dy/dx = 8y-1 a, Solve with separation of variables method b, Solve by integrating factor method c...

A: topic -  differential equation

Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

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Q: Using the figure shown, find sece (3,- 4) 5/4 5/3 -5/4 -5/3

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Q: Solve for a root/roots of the functions 2. x² – 3 sin x + 2 In(x + 1) = 3.5 Applying both a. Bisecti...

A: x2-3sinx+2ln(x+1)=3.5To Find: Roots of the function using bisection method and false position method...

Q: Assume that f is continuous and | f) dt 3 sin х — х сos x. 0, (a) Determine f(;n). (b) Find f'(x).

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Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given, ...

Q: ub

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Q: Consider the function f(x) whose graph is given below. y= f(x) in Enumerate all discontinuities of f...

A: Here f(x) is not defined but at x=-2, x=3, x=5 .

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: The given power series,         ∑n=0∞x2n

Q: f(r) Find g(3) given that f(3) = -6, f"(3) = –4 , and g(x) = %3D 8 Answer: 5

A: Given g(x) = f(x)xf(3) = -6f'(3) = -4 

Q: Solve the triangle for which ZA = 30\degree, ZB = 45\degree, and a = 20. Round to the nearest whole ...

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Q: Determine whether the sequence defined as follows has a limit. If it does, find the limit. (If an an...

A: Let {an} be a real sequence and L be a real number then limit of this sequence {an} = L iff an tends...

Q: Differential equation A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, po...

A: Given

Q: Given: c = 10 b 24° a = 12 Find the following item (nearest whole number and degree). b =

A: Topic = Triangle

Q: Using the figure shown, find csca (3, - 4) -5/4 -5/3 5/4 5/3

A: Here we will find  cscθ,

Q: Determine whether the series converges, and if so find its sum. 00 k-D1 1) This series can be rewrit...

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Q: Can you explain how to find the derivative of a rational power with the power rule as well as how to...

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Q: di 4. The voltage across an inductor is given by v= L dt (4) Find the voltage across a 40H inductor ...

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Q: Integrate تلد ا - تم( فیگ S (a² – v²) * 22)* dv where " a" is constant

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Q: 5. 2r2+xy2=1 *Use implicit differentiation.

A: We have to find implicot differentiation

Q: 4. Assume y(x) = eaª cosBx is one of the solutions of the DE у3) — Зу" + 7у — 5у %3D 0. - - Then α +...

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Q: Find the max amin, in flectlon foints and

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Q: The force on a particle is described by 5x³ – 5 at a point x along the x-axis. Find the work done in...

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Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

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Q: 3. Find from the following functions: dx y = (12x + 2)(7x + 3)3/2 18+2x+7 y = (i) (ii) (3x+6)2/3

A: 3)I) y=(12x+2)(7x+3)3/2 ii)y=(18x2+2x+7)/(3x+6)2/3.

Q: 1) Suppose that the population of rabbits on an island is growing exponentially, following P(t) = Po...

A: Given that population of rabbitspt=p0ekt  p0=250and at t=2 years p2=1200  1. pt=p0ekt1200=250e2k4.8=...

Q: Since the terms of the series do not approach 0, what can we conclude? The series converges. O The s...

A: Given query is to find the which statment is true.

Q: Given that the height, s(t), (in feet) of a free-falling object is given by the formula: s(t) = -16t...

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Q: Determine whether the series converges or diverges. In(k) Σ k k = 1 converges O diverges

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Q: The graph of a function f is shown below. x3 x4 x5 x2 At which of the labeled r-values is f(x) least...

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Q: Suppose that in a certain area the consumption of electricity has increased at a continuous rate of ...

A: topic- exponential function

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about a = x0 and then find the nth Taylo...

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Q: Use Green's Theorem to calculate ( - sen(a))da + (2a + 3)dy, where C is the triangle with vertices A...

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Q: ontinuous Limit   f(y) =  20y + 13, if  y ≤ 4            (y + k)² + t, if y > 4 k & t is constant...

A: This is a question related to Limit and continuity of the function. Function is called as continuous...

Q: Find the indefinite integral. 2+ 4x + 3. dx B+ 6x² + 9x + 2 Step 1 du/dx dx Let u = Begin by rewriti...

A: The given integral,       ∫x2+4x+3x3+6x2+9x+2dx

Q: Suppose an object in circular orbit stops in a 3 -. The terminal point is 11 position where sin(0) l...

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Q: 03) Evaluate the following integrals: A) y = sec(tan-1x). tan³(tan-1x) 1+x2 dx

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Q: A y' and Y"For Y=sin (X+ Y) 11 dar

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Q: (x5 + y5) dx + (5xy4–2y+1) dx = 0 (a) Show that the given differential equation is exact. (b) Solve ...

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Q: Give the domain of t(x) = V-1- x in interval notation. (-0,1) Hint: Remember that, when we are worki...

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