7. Apply the test for divergence to each infinite series given below. Then using at least one complete sentence, explain the conclusion of this test. (a) (b) ∞ n=1 on n² Σ* en n=1 సి/డ

Q: The latitude of a point P on the surface of the Earth is specified by means of the angle in the…

A: OP = OE = 3960 mi.*to find : arc length, PE = ?

Q: An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is…

A:

Q: problem finds the derivative of a function at a point using the formal definition. The process is…

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Q: Find the absolute maximum and the absolute minimum for the function x² x + 1 f(x)= x = Absolute…

A: The given function is; f(x)=x2/(x+1) , [-2.5,-1.9]

Q: 224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t –…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and…

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Q: 19. What is the maximum volume of cylindrical tin can that can be made from 750.0 cm² of metal?

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Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: Evaluate the integral. 3 f(x) dx where f(x) =26-x² if -4 ≤ x ≤ 0 if 0 < x≤ 3

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,

Q: Choose the correct graph below OA O OB. Oc W NE

A: The derivative of the downward parabola is the line with a negative slope.The derivative of the…

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: A system of equations is inconsistent when it has no solution.that is no real numbers as variable…

Q: Determine the value of the definite integral that describes the shaded region above. 1. 9dw

A:

Q: Find the area bounded by x² = y-1 and x = y-3 using horizontal strip

A: To find the area bounded by  by using horizontal strip.

Q: Find the point on the curvey=+x where the tangent is parallel to the line y = x.

A: The slopes of parallel lines are equal.

Q: Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this…

A: We have to evaluate the integral using trigonometric substitution.

Q: The graph of f(w) = 9 is given below. 10- 8 6 5 4 -4-3 -2 -1 3 1 2 3 4 5 6 7 8 9 Determine the…

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Q: Simplify the following rational expression. State the domain restrictions: a) x3-8 2x3-8a

A: To simplify the following rational expression and to state the domainrestrictions.

Q: dx f(x) g(x)]-

A:

Q: Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

A: Consider the integral

Q: sin x lim X→0 xX tan x m. n. lim x→0 X

A:

Q: Find the indefinite integral of the function g(x)=e^(2x) sin(3x)dx

A: The objective of this question is to find the indefinite integral of the function g(x) = e^(2x)…

Q: 5.4-1+1/2 - 1/6 + 1 64 |

A: Given that the series we have to find check the series absolutely convergent, conditionally…

Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 41 meters from an…

A:

Q: 3 fff Sayz dv= - S₁² S₁² ² 8zyz dz dz dy 2

A:

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: 5. 6% a. x-2 dx 1-sin 2x 2 x-sin-x dx 2 + tan² x x + tan x - dx

A:

Q: The graph of a polynomial of degree 5 is shown. State the number of real zeros and the number of…

A: As we can see, the graph crosses the x-axis at x=-2So x=-2 has a multiplicity of 1The graph touches…

Q: Find the indicated term of the binomial expansion. (√2₁² +1³); second term 3 u

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Q: You have to examine the relationship between the age and price for used cars sold in the last year…

A: From the above table we…

Q: y² 7. Use a double integral to find the area between x = 2y and x = 3 Sketch this region.

A:

Q: In a large city, the road system is set up like a Cartesian plane, where streets are indicated by…

A: Given that in a large city, the road system is set up like a Cartesian plane, where streets are…

Q: Find the function g(x) satisfying the two conditions: 1. g'(x) =-512x³ 2. The maximum value of g(x)…

A: To find the function  satisfying the following two conditions:(2) The maximum value of  is 5.

Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

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Q: (d) lim Bl x-l lnx (e) lim x-x)

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Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: Evaluate the following limit lim X→∞0 O O O O I 8 0 10/00 8 −5x² +6x³ + 3x² − x 8x² − 2x³ + 3x - 8

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Q: 1 e e 5. If A-), then ¹-(3) = eª = 01 0 e

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Q: d. e. lim 4x(3x + 4)² X→-1/2 lim (5-y)¹/3 y-3 3 h→0 √3h+1+1 f. lim

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Q: 3. Use the figure to answer the questions. B M Answer: D C (a) Which pair of corresponding angles do…

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Q: Evaluate the integral: Ox= Ox= Ox= (A) Which trig substitution is correct for this integral? 0x= 0x=…

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Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

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Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

A: Let the length of the rectangular field=x mLet the width of the rectangular field=y mThe figure of…

Q: Consider the following graph of f (x). Which of the following are inflection points of f (x)? -3 O…

A: We have to find the coordinates of the inflection points from the given graph of function.Let's…

Q: √ 5x(x² +4)√√x² + 4 dx. 2

A: To evaluate the following integral.

Q: 3. Consider the function y = f(x) whose curve is given by the equation 2y² - 6 = y sin x for y > 0.…

A: Note:-As per your demand we solve part d for you Given derivative and point when is

Q: Let h(z) = 2¹/3 Determine the most general indefinite integral of h. 1/3 dz

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Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

A: The given equation is; 9cos(2t)=9cos2(t) -2, [0,2pi)

Q: A stone is dropped from the upper observation deck of a tower, 500 m above the ground. (Assume g =…

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Q: a. What is lim g(x)? Choose the correct answer below and, if necessary, fill in the answer box to…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…