lim 1→3 n 2 i=1 1 n1+ (2i/n)

Q: Which of the following is equivalent to 2x + 5 S (2-4x) 5 after appropriate algebraic substitution…

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Q: 4. Find the critical points of the following function 2 f(x) = =+ lnr, I>0. I

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Q: Evaluate sin (945°) without using the calculator. 1. 2. INGNINGS- 3. 4. 5. None of these 1 6. 2

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Q: Find the equation of the lines tangent to the curve x² + y² = 4 and parallel to the line x = 3 ?…

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Q: Verify Green’s theorem in the plane for R C (3x 2 − 8y 2 ) dx + (4y − 6xy) dy, where C is the…

A: Given:

Q: A non-native species of fish is introduced into a lake and is attacking a certain type of native…

A: Given Native: x(t) = −447.94t3 − 5250t2 + 44992t + 150000 Non-native: y(t) = −589.14t3 − 0.7t2 +…

Q: Problem 9. True or False. Explain your choice carefully. (a) The sequence defined as an = (-0.5)", n…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.…

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Q: (c) Find the value of √a²-x² [₁ 2(x + y) x² + y² giving your answer in terms of a. 1+ -dx dy,

A: The given integral is:∫0a2-x2∫-aa 1+2(x+y)x2+y2 dx dy

Q: Problem 5. they all start at n = 1. List the first six terms of the sequence given by the formula.…

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Q: Given the function z = In(x - 2y), find the equation of the tangent plane when (x, y) = (3, 1) in…

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Q: Consider the following. 4 + e¹- 4x = 25 (a) Find the exact solution of the exponential equation in…

A: To solve the given exponential equation

Q: 18. Using Lagrange multipliers, find the point on the plane x + 2y + 3z = 4 closest to the point…

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Q: 23. y = 2 x² + 1 x² - 1 3

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Q: Find the domain of the function using interval notation. f(x) = -2x (x-2)(x-7) To enter oo, type…

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Q: 3₂ If t=15157, evalvate if possible Part 1. Sin t 13 له b) none - 이글 e) 9 + ا (a C) - 0) ) 6)-1 یہ -…

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Q: Calculate all four second-order partial derivatives of f(x,y) = 5x²y + 3xy³. fxx (x, y) = = fxy(x,…

A: Given, f(x,y)=5x2y+3xy3

Q: limg-5 5-x 2-√x-1

A: The Solution is given below:-

Q: Problem 10. (a) an = n³ n³+1 Determine whether the sequence converges or diverges. (ln(n))² (c) cn =…

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Q: 15 4 12 x

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Q: Let Ġ(x, y) = (x², y). Calculate the flux of G across the line segment from (0, 0) to (1, − 2).

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Q: the deflection of differential equation shown 26. dy a d'y = w(x) on 0<x<l dxe" ·beam 9. y.(x)..…

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Q: options Yart 1. Find Sin(t) part 2. find cos (t) 10 10 options 8 ㅋ 능 None 10 ㅋ 10 8 3. 10 4.…

A: Topic- unit circle WE are given a point on the unit circle as -810,-610we know that on unit circlex…

Q: What is the slope of the line tangent to the curve x² + y2 = 1 and parallel to the line y = - 2 ?…

A: Given query is to find the slope of the tangent line.

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative of the expression.

Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

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Q: The following function is continuous at x = 0. f(x) = ex, { 9x² + x + 1, x < 0 x≥0

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Q: Determine the type of conic section that each general equation will produce. a.)x²+y²+8-4y-2=0…

A: To determine the type of conic section.

Q: Evaluate f(x) = 3 sin x + 5 cos at x = π/3. 1. f(π/3) = 4 4√3 2. f(π/3) 3. f(π/3) 3√3 4. f(π/3) =…

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Q: The linear approximation at where A is: and where B is: = 0 to sin (3x) is A + Bx

A: We need to find Linear approximation.

Q: Problem 5. they all start at n = 1. (a) an = (b) bn = 3n 1 + 2n (−1)n-1 5n List the first six terms…

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Q: Consider the solid λ bounded by the xz-plane, the yz-plane, the plane z = −1, the plane x+y = 3, and…

A: Let's find the value of W.

Q: lim x -> 0 (3x * cot(3x)) . Do not use sing L'hospitals Rule

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Q: Find the slope of the following lines.

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Q: Determine whether the integral is convergent or divergent. 3 36 √3-x O convergent O divergent dx If…

A: Given integral:- ∫23363-xdx

Q: Let [145 Find f(x) dx = 7, 13 + [1² f(x) dx = [ 11.5 and 11.5 $ 1.1³ 13 11.5 [ 7f(x) 6 dx = = f(x)…

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Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: The total cost (in dollars) of producing a coffee machines is C(x) = 2400 + 60x -0.2x². (A) Find the…

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Q: Water is leaking out of an inverted conical tank at a rate of 8000 cubic centimeters per min at the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2. 3 (D-9)³y=0

A: Let's solve given diffential equation.

Q: (b) r(t)=e¹¹ 7+ sint j+t² costk at t= 0

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Q: Consider the point (음, %) Fort 1. Find (sc (t) A).& 10 22-1 B) 은 C) - 음 이응 Ja 100 0)-10 F) - g) none…

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Q: Use implicit differentiation to find y′ for the equation below and then evaluate y′at the indicated…

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Q: Consider the system below. y = kx2 y' = k'x2 + 2xv y" = k"x2 + 4xv' + 2v Now, find y' and y"…

A: We need to find y' and y''

Q: Calculate 25 j by writing it as a difference of two sums and using one of the Power Sums formulas.…

A: To find:- ∑j=76250j

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 9) = +2 3…

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Q: Replace ​? with an expression that will make the equation valid.   d/dx (3 − 4x2 ) 5= 5 (3 − 4x2 )4…

A: let y=(3-4x2)5

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: a. Find a curve with a positive derivative through the point (1,1) whose length integral is given…

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Q: Initially an 800 gallon tank contains 400 gallons of water in which is dissolved 50 lbs of salt.…

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