Oppgave 3 Bestem om rekken konvergerer absolutt, betinget eller divergerer: Σ(-1)”; n n² + 2n n=1

Q: Evaluate the limit Enter I for ∞, -l for -∞, and DNE if the limit does not exist. Limit= 1 6 1m (2²3…

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Q: If u=(2,4)�=(2,4)  and v=(3,−4)�=(3,−4)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

Q: X a) lim ²-9 x -3 x+5 b) lim -4 x 4 √x-2 c) lim x 3 2x²-5x-3 x²-x-6 d) lim 2x+7 4x-12 x 3

A: a) limx→−3x2−9x+5

Q: S x³ – x² x¹ + 2x² + 1 хр

A: To give a detailed solution for this integral by using partial fraction decomposition.

Q: Find the limit. lim t→0 e −6t ¡ + t² sin²(t) (k) k -j + tan(7t)

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

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Q: The demand for a new computer game can be modeled by p(x) = 55-4 Inx, for 0≤x≤800, where p(x) is the…

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Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

A: Given:each quart of Creamy Vanilla requires 4 egg and 2 cups of cream.each quart of Continental…

Q: Find the area under the line y = 2x between x = 1 and x = 3

A: we need to find out the area of the bounded region.'As per the company policy, we are supposed to…

Q: A cardboard box without a lid is to have a volume of 16,384 cm³. Find the dimensions that minimize…

A: Let the length of the box ftLet the width of the box  ftLet height of the box  ft

Q: Solve the following initial value problem for r as a function of t. d²r dt² r(0) = 6i+j+ 3k…

A: The given differential equation is .The aim is to find the initial value problem for  as a function…

Q: 9) Enter the exact value (no decimals) of the es Sin (Cos' (²)) =

A: Since you have asked multiple question in single window , as a guideline i can only solve first one…

Q: 8) Solve Exponential Equation 22x-¹ = 3*

A: We need to find the solution of exponential equation.

Q: Question content area top Part 1 An initial investment amount​ P, an annual interest rate​ r, and a…

A: The objective of this question is to calculate the future value of an investment given an initial…

Q: 1. Find the positive number(s) b such that the average value of y = 2 + 7x-x³ on the interval [0, b]…

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Q: If u=(−3,2) and v=(−3,3)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

Q: If f(x) = 5 arctan(3x), find f'(x). Find f'(4). f'(4) = 5500 VER

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Q: Find the area under the curve y X 29 from x 1 to x = t. Evaluate the area under the curve for t =…

A: To find the area under the curve .To evaluate the area under the curve for .To find the total area…

Q: The following table records some values of the differentiable functions f and g, as well as their…

A: Given: To Find: To computethe value of evaluated at .

Q: The area of a square is increasing at a rate of 36 square inches per second. At the time when the…

A: The objective of this question is to find the rate of change of the perimeter of a square when the…

Q: According to Poiseuille's law, the speed S of blood through an artery of radius r at a distance x…

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Q: x = 8√y, x = 0, y = 1 DY regio Dy give

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Q: Find the velocity and acceleration vectors in terms of u, and u. r = a cos 20 and =u₁ + u₁ + V= a =…

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Q: Find an equation for the graph sketched below -5 -4 -3 -2 -1 f(x) = 8 %7 6 + 5 4 3 2 P OA -7+ -8+

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Q: The nationwide attendance per day for a certain motion picture can be approximated using the…

A: The objective of this question is to find the rate of change of the daily attendance for a motion…

Q: Find the derivative of the vector function r' (t) = (0) r(t) = In (9 t²)i + √12+tj+let k

A: Given,

Q: Find dy/dx by implicit differentiation. x²(x+y) = y²(3x-y)

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Q: Ex 4. Use the graph of f in the figure to find the following values or state that they do not exist.…

A: Given a graph of function f(x) we say the limit of f(x) as x tends to a is equal to L, if both the…

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

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Q: Find the smallest possible sum of the squares of two numbers if their product is -9.

A: we need to find out the smallest possible sum of the square of the two numbers whose product is…

Q: 4. We consider compound interest with a nominal annual rate r compounded n times per year. The value…

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Q: Given the graph of f below -3 -2 -I--x -1 (2) lim f(x) x-2+ 5+y 4 3 2 0 -1 answer the questions…

A: Given graph of f to determine limits

Q: LAR널)] = Y(S) = [올 +2 Yi(s) = Y,(s) = (S+4)×2 블 +8S+20 N/A ( 52 ) ³²+ + 4 . √2 + 5 - S14 (S+4) e (5²…

A: To show:-

Q: X | cos = dx = [ COS 6 +C

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Q: Problem 107. Suppose that a differentiable function y = f(x) has the property that f(2)=-4 and f(4)…

A: We need to explain the answer and determine the value of x.

Q: Give a complete ?, ? proof of lim ?→3(4? − 5) = 7 That is, given ? > 0 find ? (as a function of…

A: The objective of this question is to provide a complete epsilon, delta proof of the limit as x…

Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = -18k…

A: To solve the following initial value problem.Differential equation: Initial conditions:

Q: Determine the continuity of the function

A: The objective of the question is to find the exact values of sin(a + B), cos(α - B), and tan(a - B)…

Q: Find two unit vectors that make an angle of 60° with v = 6i + 8j. (Round your answers to four…

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Q: Jessica and Matthew are running toward the point P along the straight paths that make a fixed angle…

A: Law of cosine: If a,b and c  are three sides of a triangle and  be the angle between the sides a and…

Q: 1 a cos x + b sin x + c a, b, c > 0, c> a, c + a c - a dx 9 where b с a 2

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Q: 3. Using the derivative rules learned in section 3.2. 5 Let f(x) = 5x - 2x² and g(x) = 3ex − x−³ +…

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Q: Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use…

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Q: Find the area under the curve y = f (x) = x² over the interval [−3, 3]. Enter the exact answer. Area…

A: The Area under the curve f( x ) from a to b is given as follows

Q: Differential equation: dr/dt=((6t^2)-3)i-j+1/(1+t)^1/2 Initial condition: r(0)=-4i+8j+7k

A: The objective of the question is to solve the given differential equation with the given initial…

Q: Suppose that {n} is a sequence of real numbers satisfying lim xn = 1. Use n→∞ in the text book to…

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Q: Let f(x)= xh(x). Given that h(-1) = 5 and h'(-1) = 8, calculate f'(-1). f'(-1) = [HINT: Use the…

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Q: What is the equation on the horizontal asymptote of the rational function y ○ y=0 There is no…

A: The given rational function is

Q: Find the velocity, acceleration, and speed of particle with the given position vector. F(t) = u

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Q: For Exercises 10, use a graphing utility to graph the polar equation and describe the graph in a…

A: The given polar equation is