Classify the series as absolutely convergent, conditionally convergent, or divergent. Zk=1 (-1) k +1k+ 2k(k+3) O absolutely convergent O conditionally convergent O divergent

Q: Determine whether the alternating series converges. k + 1 >(- 1)k+1 6k + 1 k=1 O The series diverges...

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Q: 4. S)(1-x²)dx 5. S(e2t)dt

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Q: 4. A probability density function is given by [0, 4, if x 2 1, if x < 1 8(x) = A where A is a positi...

A: We will use properties of pdf( Probability density function) to find value of A.

Q: d.x J (x+ 1)(교2 + 1)

A: We have to find integral  by using substitition  

Q: prove that tanx = V secxsinxtanx %3D

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Q: th 1. The 6 term of an A.P. is -5 and the 10" term is -21. Find (i) the 8th term (ii) the sum of the...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Let's find. 

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

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Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and ...

A: topic- polynomials

Q: How long did the baseball travel in the air Use the given graph to answer. Enable ZoomPan Height of ...

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Q: mpany has a cost for producing x items of 55x+33 and revenue is 95x-0.5x2 what is the profit

A:   The profit is the revenue minus the cost

Q: Write a polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial with...

A: topic - polynomials

Q: 2. Find five arithmetic means between 12 and 21-6.

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Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

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Q: 2. (x +1)y'+y = x² – 1 %3D -

A: Topic = Differential equation

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

A: Given Series ∑k=1∞ 1kk+2  

Q: Last month, Kaitlin's average daily balance on her credit card was $1,950.77. The annual interest ra...

A: minimum payment on the card is the interest charge plus 2% of the ending balance or $25, which ever ...

Q: 7.2. +4 7.2. 1- 'y'+ 16

A: Using integration formula,

Q: 6-x Solve the rational inequality x<- Problem 3. 2x-5 Leave your answer in interval notation.

A: Topic = Inequality

Q: If cotx = 12 find the other trigonometric functions

A: Given that cot (x)=12 -(i)Our Aim is to find the other trigonometric functions.

Q: y 4

A: Given: - The graph of f and g, To sketch: - The graph of the function f(g(x)),

Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 + 1 n =...

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Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plan...

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Q: Alcohol-Related Traffic Accidents As a consequence of increasingly rigid rules aimed at decreasing ...

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Q: y = sin (4x+13) find dy 9.

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Q: Question dy Using implicit differentiation, find dx Vxy = -4 + xy

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Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: 0. Refer to Problem 19: How fast is the circumference of a circular ripple changing when the radius ...

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Q: そこfex,y) メニ %u,) yこh(uw)9C1,2)=! 3、(1,2)=4 hいいい2)こと hull,z)=-5 9y CI,2) =-1 Iuci,z)=4 helizj=6 hucli...

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Q: Prove that 2"+l > (n + 2) · sin(n) for all positive integers n.

A: We have to prove that, 2n+1&gt;(n+2)·sin(n) for all positive integers n.

Q: Given f(x) = 3x+22x-3x-70, answer the following. Part: 0/2 Part 1 of 2 Factor f (x), given that -2 i...

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Q: Answer the given DE below: x (dy/dx) +y=y^2

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Q: Which substitution is best to use in order to solve the integral / 2sinx cos xdx? Select one: u=cos ...

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Q: Plot the following functions 2. y = (x – 1)3 + 2

A: Topic = Function

Q: Select all lines that are parallel to the plane x+ y+ z = 3. OF(t) = T (t) (1, 1, 1) +t(1,1, –2) OF(...

A: We are given a plane x+y+z=3. We have to determine which lines are parallel to the given plane among...

Q: 16. (sec x + tanx)² dx 32. sin? x cos x dx

A: We 1+ tan^2(x)=sec^2(x)  Also we integral of sec^2(x) is tan(x)

Q: 4 Find the sum of the series E (2n + n³) n =1

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Q: Use your graphing calculator (or Desmos 2) to graph the following quadratic functions. a. Let f(x) =...

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Q: Invesigte (-1)*+1 - for convergence or divergence. n=1

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Q: Evaluate Jsinudu, a, cos u+c b. cos u c. -cos u + c

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Q: Determine whether the series converges. Σ k=1 V8k – 1 The series converges. O The series diverges.

A: To determine: The convergence of ∑k=1∞ 18k-13.

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: Find the first partial derivatives of the function. f(x, y, z, t) = 7xyz9 tan(yt) fx(x, y, z, t) = f...

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Q: Find the midpoint of the line segment with the given endpoints (-7,- 1)and (- 3,- 2) The midpoint is...

A: The midpoint of the line segment with the endpoints (x1,y1) &amp; (x2,y2)is given by: x1+x22,y1+y22 

Q: The profit in dollars from the sale of x expensive watches is P(x) = 0.06x – 3x + 7x° -5000. 0.7 Fin...

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Q: View Policies Current Attempt in Progress A company operates two plants which manufacture the same i...

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = In(2t...

A: Given query is to find the equation in rectangular form.

Q: I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a)...

A: (a)  the statement is false. (b) statement is true. (c)  statement is true. see below the explanatio...

Q: Question The position of a car traveling along a highway is given by the function s(1) = 21° – 10t2 ...

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