Write the sum in sigma notation. 4 3 1. +- 6. 6. 26 | ... 8. 10 12 52 3+n Ce tn an= fram T 26 26 3+n Find the value of the sum. Eili+2) 2.

Q: For problems 1-4 give the vector for the set of points. Find its magnitude and determine if the…

A: We have to find magnitude of given vector

Q: sin(3x) dx 1+cos²(3x)

A: The given integral is Sin(3x)/[1+cos2(3x)].

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the 10 cos t, y in (0 <t: curve C: x =…

A: A detailed solution is given below.

Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 5xyz k. V × (V × F) :

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. So xe…

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Q: Question 22 Solve the problem. Calculate the area of the parallelogram with v = (-6, 0, -6) and w=…

A: solution

Q: 7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2)…

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Q: $3000 is invested in an account at interest rate r = 0.035, compounded continuously. (Round your…

A: Given that $3000 is invested an account at interest rate r=0.035, compound continuously. we have to…

Q: y" + 2y' + 5y = 4e¬t cos 2t, y(0) = 1, y'(0) = 0 %3|

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Q: 3. Find a unit vector that points in the opposite direction as = 27 +7]-5k. %3D 4 Find a vector that…

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Q: 1 Given Rn 7+i- cos 7+ i- , express the limit as n → ∞ as a definite integral, n i=1

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Q: Find the general solution for the differential equation. y' = 2 - x³ + x6

A: Given query is to find the solution of the differential equation.

Q: If the profit function for a product is P(x) = 6400x + 80x² – x³ – 190,000 dollars, selling how many…

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Q: 23. sin 20 cos 20 dên

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Q: Find the area bounded by the graphs of the indicated equations over the given interval.     y=−ex​;…

A: Note:- Here your equation of equation we use y=-ex , y=0 , -2≤x≤1  Given problem:- Find the area…

Q: A particle is moving with acceleration a(t) = 24t + 16. its position at time t = 0 is s(0) = 9 and…

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Q: Determine the directional derivative of f at the specified point and direction. f(x) = x³ + y³ – 3x2…

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Q: V10x – 7y – 10 Find lim by rewriting the fraction first. 10x - 7y – 100 (x,y)→(10,0) 10x - 7y + 100

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Q: -2 12) Find the sum of the Series 2".30" A C) D) 2 E) 9

A: Let    I= ∑n=1∞2n3-n-2Rewriting 2n3-n-2=2n3-n3-2                                  =2n3n×132…

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Let, First number = x &amp; 2nd number = y therefore, x+y=25   &amp; x-y= 7

Q: Evaluate the values of x, y and z of the three equations three unknowns : 4x - 2y + 6z = 8 2x + 8y +…

A: Given: 4x-2y+6z=82x+8y+2z=46x+10y+3z=0

Q: ) Sypposef and g are functionns with continu lerivatives, and that they satisty the followia…

A: “Since you have asked multiple Questions, we will solve the first question for you. If you want any…

Q: 2) Evaluate the integral S inx dr 2.

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Q: III. Do as indicated showing the details of your work. Show your complete solution on the space…

A: We need to evaluate definite integral.

Q: Solve the area bounded by the curve y = 4x - x² and the lines x = -2 and y = 4.

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Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: A detailed solution is given below.

Q: H.W: Evaluate the integral 3 0 | (x?y- 2xy)dydx 1. 0 -2

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Q: Without graphing, find the horizontal and vertical asymptotes, if any, of the curves. Show your…

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Q: II. INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) F(x) f'(x) F'(x) lim = lim…

A: To evaluate the given limit of the function.

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

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Q: Qg Solve: coshx-1 .dx

A: Basic hyperbolic identities are used along with integration identities.

Q: Optimize Z= In(4x2 - 24x + 2y2 - 20y) optimize the function. Find Zx, Zy, Zxx, Zyy, Zxy. Comment…

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Q: 1. Given ā - 31-9j and 5--6i+j compute each of the following. (a) 105 (b) 14ã +205 (c)

A: We have to find solutions

Q: sinh(3 In(a)) = (A) - (B) a³ – (C) 을 + 3a - (D) – 11 -18 -13 - -

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Q: Suppose that f (x) is a function such that lim f(x) and lim f (r) both exist. r3+ Does this mean lim…

A: Use limit definition to prove the limit.

Q: 33) In Problems 33) through 35), given MB ' (x) = HD(x), HD' (x) = PR (x) , PR' (x) = RB(x) with the…

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Q: I. INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) f'(x) lim = lim Equation 1…

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Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: The velocity of a ball thrown upward from an initial height of 80m is given by v(t) = -32t + 64 What…

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Q: Evaluate the expression. 14C11 O A. 182 В. 3003 О с. 2,184 O D. 364

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Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

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Q: dr 10. dr 11. (x – 1)2 12. sec 20 tan 20 de

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Q: Evaluate the definite integral. Write your answer in terms of . (y +1) dy

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Q: Find the polar equution for the cartesian curve r=8 sin o Cos o r=8 sec e tan E r=8 sine tan E r=8…

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Q: -sin (In x?)ecos² (In x) dx 100x2-x2e2 cos (In x)

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Q: Evaluate the iterated integral. 7 8 6 | // * +v° + 2²) dx dy dz -6 0 0 / /(x² + x² + z²)dx dy dz i…

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Q: NOTE: Enter the exact answer. xe*y dy dx

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Q: Solve the differential equation Integrating Factor by Linear Equation: dy 1 dx x + y2

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Q: lim In(z – 1) – In(x“ – 1) = %3D

A: Given

Q: Convergent. or divergent dx ra5-x 3 25-X

A: