1. Consider this series: 10 20 3 9 (a) Write the series using sigma notation. 5+ + 40 80 27 81 + () If the series converges, evaluate the sum. 160 243 +... (b) Does the series converge or diverge? Justify your answer.

Q: # 7-9: Multiple Choice. Choose the best answer 4-6-10 15 57 153,is (x-3) a factor? 5 19 51 143 7.…

A: 7). B. No 8).A. (x - 5) 9). FalseExplanation:7). - If the remainder is equal to 0, then it is a…

Q: 17. Evaluate the limit, if it exists. Show work. x²-3x-10 limx-5 2x-10

A: To evaluate the following limit if it exists.

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Q: 10 -6 -5 -4 -3 -2 -1 8 4 2 2 -4- -6- -8 -10+ The function graphed above is: Concave up on the…

A: The graph of a function is given below.To find the intervals of concave up and down and the point of…

Q: 2. Find the solution of the initial value problem 1 = y+t² sint, y(x)=0. dt t

A: Question No. (2):To find the solution of the following initial value problem.Note: Since you have…

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A: given acceleration vector

Q: Fill in the equation for this function. 2 UN -π/2 TT/2 4 TT 3m/2 f(x) = [ ? ]cos(x − −˜_ ) + π

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Q: numbers, mathematics unveils the poetry hidden in every calculation, revealing the elegant…

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Q: Determine if the sequence is monotonic and also determine if it is bounded. a_n = ((2n+6)!) /…

A: The objective of this question is to determine if the given sequence is monotonic and if it is…

Q: X x+18

A: f(x)=xx+18

Q: J X √9 - x² dx

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Q: Given the function C(t) = (t − 5) (t + 1)(t − 7) its C-intercept is its t-intercepts are

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Q: -) y = 7sec @ In 7 ) y = 5-cos 2t 5) y = 3tan@ In 3

A: Since there are two different questions, according to the guidelines, I am solving the first…

Q: Suppose f (0) = -6 and f'(x) ≤ 8 for all values of x. How large can f (-3) possible be? (use the…

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Q: Problem #3: Let f(x, y) = sin(2x) cos (4y) and let P = x-direction. Give an exact value. IL T 8'4'…

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Q: Yaster Breakfast Supplies is planning to manufacture and market a new toaster. After conducting…

A: Given: a weekly demand of 299 at a price of $14 per toaster.a weekly demand of 206 at a price of $18…

Q: Graph the set of points of discontinuity for the following function: f(x, y) = 1 xy-3

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Q: Find the second derivative. 3 y = 8x 2 - 4x²³² + 3e*

A: Given a function,y=8x3−4x2+3exTo Find: the second derivative.

Q: (b) 1:16 tan5(x) sec²(x) dx

A: 1621​ or if you have needed in decimal form then you type 0.00617283 round as much you need.…

Q: For the above quartic polynomial f(x)=22-22³-15.752², identify the interval on which f is concave…

A: given

Q: Find points of intersection for the following curves. 1- r = 2 + 2 cos 0, 2- r = 2 + 2 sin 0.216

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find ∂z/∂t if z = sin(5x3-3y2), x = 2s2+t2, y = 2st3. Write in terms of the two independent…

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Q: The answer you gave, is not a option

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Q: Find the gradient vector field of f =1/2(x^2-y^2) and sketch it.

A: The objective of this question is to find the gradient vector field of the given function f = 1/2 *…

Q: Find the critical points of f(x) = -6x4 + 2x² - 8 and apply the Second Derivative Test (if possible)…

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Q: a. lxldx b. (1+x1) dx

A: To sketch the graph of the integrand function and by using it to evaluate the integral.

Q: (2.) r(t) = (t, cos(2t), sin(2t)), t = [0, π] describes one circular arc of a helix. (a. Determine…

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Q: 11. This function: y 4 12 -4 -2 0 -2 -4 O 2 4 x a. is continuous b. has an infinite discontinuity…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: 2. Find the velocity, acceleration, and speed of a particle with the given position function. (a)…

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Q: Calculus 2 Let A E RNXN be a symmetric, positive definite matrix and b E RN a vector. If x ERN,…

A: The integral Z(A, b) as a function of A and b is given by: Z(A,b)=e21​bTA−1b(2Π)Ndet(A−1)​ This…

Q: Evaluate the following integral using integration by parts. Jxsin 8 x sin 8x dx Jxsin 8 x sin 8x dx…

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Q: Write an equation (any form) for the quadratic graphed below -5 -4 -3 -2 y = 1 2 1 -1 -2 -3 -5+ 2 3…

A: Answer is in the below box. If you have any doubts at anywhere in the explanation or answer please…

Q: Evaluate the integral. (Remember the constant of integration. sf. 5 √1 - sin(x) dx X – 10 (cos ( 1 )…

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Q: 3. Find the tangential and normal components of the acceleration vector. (a) r(t) = (t² + 4) i + (2t…

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Q: Please help evaluate

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Q: Integrate: 1 ex a) foxx dx = 1+ex 18x²-2 3x-1 =) S³ dx = b) √4 2x²-50 dx = X-5 d) f(x-1)² dx =

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Q: Eliminate the parameter & to fcys for - form x= [2(t) = 51² | gets = 2 + 2t find a Cartesian…

A: To eliminate the parameter t to find a Cartesian equation in the form  for the parametric equations.

Q: 3 (d) / √9 – x³²dx 0

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Q: For Complete Kn, n-cube Qn, and complete bipartite graph Km.n . a) How many vertices and how many…

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Q: The area of a circular oil slick expands at a rate of 10 m2 /min. Help see how fast is the radius…

A: The area of a circular oil slick expands at a rate of 10 m2 /min.To determine the rate at which the…

Q: If log₂ (5x + 5) = 2, then x = You may enter the exact value or round to 4 decimal places.

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Q: Find the limit of the sequence as n approaches infinity: 2n 9 In +8 an www

A: The given nth term of sequence is

Q: (5.) Let u(x, y) = ln(x² + y²) (a. (c. State the domain of u: Determine lim f(x, y) (x,y) →(1,0)…

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Q: For the sequence defined by: a₁ = 4 an+1 = Find: a2 = a3 = a4= 1 an +1

A: By using given sequence, we will find the terms.

Q: Find the acute angle between the planes to the nearest thousandth of a radian. 15) 7x - 5y - 7z = 1…

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Q: 4. From the following function determine Domain, Range and graph f(x) 4- x² +2

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Q: #10-12: Use f(x)=3x¹+x²-14x²-4x+8 10. Determine the total number of roots 11. Use the Rational Zero…

A: 10) 411)±1,±2,±4,±8,±1/3,±2/3,±4/3,±8/3.12) 2, -2, -1, 2/3 are the actual roots.Explanation:Step 1:…

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

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Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree. She…

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