Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the sequence is convergent, guess the value of the limit from the graph and then prove your guess. (If an answer does not exist, enter DNE.) 5 + 3n? V 12n2 + 2n an

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Explained below

Q: Set up an integral for the length of the curve. x = y2 + 6y, 0 s ys 6 OS Vay2. 37 dy OS Vay2+ 12y +…

A: We have to find out length

Q: by any method.

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Q: Audrey Aden Find polar coordinates to represent (-2, -2) with r >0 and 0 <0 < 2T. Find polar…

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Q: items 10- 12. Ana and her mother went to the market to buy fish for their picnic. The fish that they…

A: Price , discount

Q: Use the substitution u =x + 1 to evaluate the indefinite integral below. 5 1) dx Write the integrand…

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Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 2 meters per hour…

A: We need to find rate of change of area.

Q: dy The curve with equation y= has a stationary point in the interval -1 <x < 1. Find and 1-x dx…

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Q: s being pumped into a spherical ballo nge of the radius when the radius reac

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Q: Write the sum using sigma notation: 9+ 13 + 17 + 21 + ...+ 57 = B, where n=1 A = B =

A: Topic:- sequence and series

Q: Q.4 Let Ø be a scalar point function defined as follows Ø = x3 + y3 + z - 3xyz. %3D 4.1 Find the…

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Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: 16. How many terms are needed to approximate 2(-1)"+1 (÷) with an error of less than 0.001?

A: The given alternating series is: ∑n=1∞(-1)n1n4 Let, an=1n4

Q: 9. -x² dx Choose the correct graph below. O A. O B.

A: Topic:- application of integration and geometry

Q: 5 5 5 The functions f and g are integrable and f(x)dx = 7, g(x)dx = 4, and f(x)dx =2. Evaluate the…

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Q: A mountain climber is about to haul up a 70-m length of hanging rope. How much work will it take if…

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Q: Find the absolute maximum and minimum values of f(x) = e * – 3x on [0,5].

A: f(x)=ex-3x Take derivative wrt to x f'(x)= ex-3

Q: 1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the…

A: Given problem:- The line segment from (1,-1, 3) to (0, -3,1) forms a diameter of the sphere S₁. Find…

Q: ) Find of the implicit function a? + 5xy + y? – 2x + y – 6 = 0 at the point 1. . (1, 1).

A: Topic:- derivatives

Q: Consider the following. 2 f(x) = -x2 + 4 Find the x-values at which f is not continuous. Which of…

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Q: f(x) dx

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Q: 2. If f(2, u) dA 10, where D is the triangle with vertices (0, 0), (2,0), and (2, 3), then the…

A: To find the average value of the given double integral.

Q: question

A: We will solve the second problem.

Q: Use the Integral Test to determine whether the infinite series is convergent. A n+4 n=2 Fill in the…

A: We have to find out the convergence test

Q: 1 18 6 The sum is (Type an integer or a simplified fraction.) 1/2 1/6

A: Topic:- sequence and series

Q: 3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = | f (x)dx feet,…

A: answer is in next step

Q: 2 2 Find the sum of the series E Vn +4 yn+5 n= 1 The sum of the series is (Type an exact answer,…

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Q: The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate…

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Q: Solve the equation y' = csc(x) - y cot(x).

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Q: Evaluate the integral. 1/3 6 sec x dx 0. n/3 2 6 sec x dx %3D 0.

A: To find out the integration.

Q: The solution of the differential equation below is dy 3y +4x = 0 dx

A: Let's find.

Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is C(x, y) = 29,000 + 50x +…

A: To find the marginal cost.

Q: This equation is an example for linear equations dy y = x²e* %3D dx False True

A: We have to find if the given statement is true or not.

Q: 2 (b). y = (x – 3) VT. Determine the intervals of decrease and increase of the function

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Q: * This equation is an example for linear equations dy dx False O True O

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Q: If f(x) = 6 sin- (x), then f'(x) =

A: We have to find solution

Q: Given the function f(x) = x?e, Determine the open interval(s) where the function is concave up…

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Q: An Integration factor of this differential equation is .7 3x2 + 1+ x3 dy 1 y = 1+ x2 dx

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Q: Find the inverse of the function. f (x) x+5 x+12

A: Inverse of function

Q: Write the sum using sigma notation: A 7+ 10 + 13 + 16 + ...+ 49 = > B, where n=1 A B =

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Q: 2. Convert (-V3,) to rectangular form.

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Q: 0Graph the following tu Pune

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Q: 1 3 4 5 6 7 Equation an 9 14 20 27 1 3 12 60 360 2520

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Q: Question 8 Evaluate the given double integral by changing it to an iterated integral. JJ xy dA; S is…

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Q: 3) Find the sum of the first 12 terms of the geometric sequence-3,-6,-12,-24,..

A: We can solve as follows

Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: Please solve using the method of Undetermined Coefficients. 3. (a) Find the general solution of the…

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Q: Evaluate the surface integral. (x + y + z) ds, Sis the parallelogram with parametric equations x = u…

A: Solution: ∬(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z…

Q: Find the exact value of (2-x)e- dr. 2

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Q: Use the Laws of Logarithms to expand the expression. 4x7 In (x + 3)8

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