1 2" 3" 1 Find the sum of the convergent series. n-4

Q: cos² (3n+7 {a,} = 3n² +1

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Q: Find the length of the curves in Exercises 1-4. |1. y = (1/3)(x² + 2)³/2_from x = 0 to x = 3 2. y =…

A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: Given the serles Does this series converge or diverge? O diverges O converges If the series…

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Q: dx -4x-7

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Q: (a) The equation of motion for a moving particle is s(t) = t³ – 3t, where s is in meters and t is in…

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

Q: A deli sells 720 sandwiches per day at a price of $6 each. ... A market survey shows that for every…

A: Let price reduce x times Price of deli = 6 - 0.1x Number of deli sells = 720 + 20x   Revenue

Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

A: We have to find the limit

Q: Calculate the trapezoid approximation of 5dx using four subintervals. O T5 = 0.60 O T5 = 0.40 O T5 =…

A: The trapezoid approximation of the given integral is given below.

Q: ley'z ds, Cis the line segment from (3, 1, 2) to (1, 2, 5)

A: Given ∫c y2z ds Where c is the line segment from (3,1,2) to (1,2,5) Parameterize the line  r(t) =…

Q: Q-2. Determine the values of x for which the function J (X) =$in Xcan be replaced by the Taylor 3…

A: We have to find the value of x as per given conditions.

Q: Two lines have equations L1: (0,0,1) + s(1,-1,1), s e R and L,: (2,1,3) + (2, 1,0), e R. 10. What is…

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Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: 1. Find the lim f(x), value of f(-1). Is the function continuous everywhere? If not, where is it…

A: The objective is to solve the above question.

Q: 2 | (csc 0)(1 + sin? 0 + sin 0 cot? 0) do

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Q: Let B be the sphere x2 + y? + z? = 1. The volume of the portion of B contained in the first octant…

A: Here, the sphere is x2+y2+z2=1 to find the volume formula for the spherical coordinates of it in the…

Q: 3 - 6t +1 x =ť° +• ;teRat t= 4 y=t° - 3t² – 9t –1

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Q: 12г3 — 9г? + 2 dr

A: LetI=∫1612x3-9x2+2dxApply the Sum RuleI=∫1612x3dx-∫169x2dx+∫162dxTake constant…

Q: S 23x* + 5 +* x2-16 dx X-4

A: We will use simple Integration rules to solve this question.

Q: x=t² +3t +5 Determine the arc – length of the curve: y = (2t- +2

A: solution:-given curve x=t2+3t+5y=232t+43/2+2dxdt=2t+3dydt=22t+4

Q: Evaluate S.(x + y)dxdy by reversing the order of integration.

A: answer is in next step

Q: Given x = 2 lnt and y = 1+t, find the equation of the tangent line when t = 2. %3D O y=-4x-8ln(2)-5…

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Q: 6 I invest a sum of money at a nominal rate of 6% per year. Find the effective yearly interest rate…

A: Given query is to find effective interest rate.

Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

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Q: Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 16,…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: 2 5. Given cos a =- and tan ß =- 2 575BS7, determine the exact COs a value of: a) cos(a + B) and b)…

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Q: C Find the firet order parhal derivohve of fx,y,2). e W y-10y²23+ 43x hCs, t) =° t*In ts) + 32 4,5…

A: We want to find first order partial derivative of the given functions.

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

Q: quadrilateral PQRS is a rhombus. P Q M S R If PQ = 3x + 7 and QR = – x + 17, what is value of x? 3 4…

A: We know that, a rhombus is a type of quadrilateral. It is a special case of a parallelogram, whose…

Q: oint) Use the graph of f(x) shown below to find the following integrals.

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Q: Find the net signed area between the graph of the function f(x) = |x +3| – 4 and the r-axis over the…

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

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Q: Find the exact value of the expression. tan sin Select the correct choice and fill in any answer…

A: We have to find the value of given trigonometric expression.

Q: Evaluate the integral using integration by parts. Do not use any other method. You must show your…

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Q: 2 cosx+3 cosx=2, 0Sx<27

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Q: Solve the equation on the interval 0s0<2r. cot 0+ 3 =0

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Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

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Q: Find and sketch the domain for the function. f(x.y) = / (x - 9) (² - 4) Find the domain of the…

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Q: Sunecose - Sune=0

A: The objective of the question is solve the given equation.

Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

A: Concept:  rectangular box volume : The volume of a cuboid is the amount of space it takes up in…

Q: 4e". se"ts dx de Let u* 2e*+2, e*. 2 dy =2e*dk 4 du - edx dx 4 p- du hp: T A 3 4 I du Ju 4 du A9 Let…

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Q: 20. tan (20) = -1 %3D

A: We have to find the value of θ.

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation x –…

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. You must show your work.…

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Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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Q: 1. For each of the following, find where the curves intersect, draw a sketch of the region, and…

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Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: We can solve the given problem by using differentials.

Q: By considering different paths of approach, show that the function below has no limit as…

A: In this question we have to find the limit.

Q: 1) Use binomial series find the power series of f (x) In(x+1)

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