Question Find the sum, if it exists, of the series. Select the correct answer below: 52 189 27 91 2733 The sum does not exist. 33 h+1 FEEDBACK MORE INSTRUCTION SUBMIT

Q: In an arithmetic sequence, the 8th term is 17 and the 17th term is -10. Show all work for each of…

A: We know that  an=a+n-1d where a= first term, d= common difference Given that 8th term is 17 and 17th…

Q: A certain bacteria culture is observed that the rate of growth of the population P at any time t is…

A: Given that rate growth of the population P at any time t is inversely proportional to square of the…

Q: They say the answer is 3; 2/3 i - j + 2/3 k. (where the first part is the length and the second part…

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Q: Find the volume of a right circular cone with height 12 and base radius 6 using integration. V =

A: Solve the following

Q: The first 4 terms of the Maclaurin series for e -2x O a) 1 - 2x + x² - 4x³ Ob) 1 - 2x + 2x² – x³ -…

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Q: Let g(x, y) = 3 + x3 - 6 . x2 - 5 . y2 +1. - a. да дх S

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Q: Evaluate Answer: 6 Soº da √196+x²

A: We know, ∫dxa2+x2=sinh-1xa

Q: A ball of radius 10 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: Given is to find the volume of the resulting solid

Q: Calculate the iterated integral. 13 3 2 LI (6x2y – 5x) dy dx /1

A: To evaluate the given double integral

Q: (4) Find the volume of the solid obtained by rotating the triangle (2,0)(2, 4)(1, 1) about the…

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Q: ¯= (x)= y: H ✦✦✦

A: We have to find the following conditions according to the given information

Q: Find the equation of the line tangent to the function at the given point. y = (-2x + 6)1/2 at (1,2)

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Q: Determine the general/particular solution (whichever applies): (D4+8D³ +24D²+32D+16) y=0 ○y=e-²x (c₁…

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² xy lim (z,y) → (9,9) √√T √y…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

A: We need to find area under the curve.

Q: Determine which of the following is the particular solution for the differential equation…

A: To determine the particular solution for the following differential equation.D2-4D+6y=6ex

Q: Find a plane containing the point (1,3,-6) and the line of intersection of the planes 8x - 8y- 5z =…

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Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

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Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

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

Q: The marginal cost for a company to produce q items is given by MC(Q)= 0.005q^2- 0.7q + 600. The…

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Q: A curve is given S₁73 dx = ...? xy parametrically by = 3t + 1, y = 4t².

A: Given,            A curve is given parametrically by x=3t+1 , y=4t2.To find : ∫47xyt3dx

Q: Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

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Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 7, b) a sum not…

A: A pair of dice is rolled.

Q: The Maclaurin series for cosx is ...? O a) 1 + +2 +4 +6 2! 4! 6! ○ b) x - - 6 + .... 21 + 21 − 2 +…

A: f(x)=cosx The Maclaurin series of a function is given by :…

Q: In Exercises 7-20, give the equation of the described plane in standard and general forms. 7. Passes…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-6x, n = 3

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Q: A covered box is to be made from a rectangular sheet of cardboard measuring 45 inches by 72 inches.…

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation F(u, v) = (u cos v, u sin…

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Q: Given the vectors u = -3i + 2j, v = -2i - j, and w = -4j Find u - 3v + w

A: Given the vectors u=-3i+2j, v=-2i-j, and w=-4jTo find u-3v+w.

Q: toid (a) find vectors 30 and +2 (b) find lu + 2√²1

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Q: Find the equation of the plane thru Q = (-1,2,4), P = (1,1,1), and R = (1,3,5) Find the area of the…

A: Given that P=(1, 1,1)    Q=(-1, 2,4)    R=(1, 3,5)    1)    Equation of a plane is ax+by+cz+d=0

Q: Use the basic integration rules to find or evaluate the integral. (Use C as the constant of…

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Q: Integrate each of the following functions using substitution, finding the most general…

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: The marginal cost for a company to produce g items is given by MC(q) = 0.005q^2 - 0.7q+ 620. The…

A: Marginal cost for a company to produce q items   MC(q) = 0.005q2 - 0.7q + 620   Company's cost =…

Q: The graph of the function fand a table of selected values of f(x) are shown at the right. The graph…

A: Let's find value of f'(5.5) from above data and value of x when given limit function is zero.

Q: A particle is moving with acceleration a(t) = 18t + 6. its position at time t = 0 is s(0) 15 and its…

A: NOTE: Refresh your page if you can't see any equations. . the given acceleration function is

Q: Given vectors u (-1,-3) and v = = (-9, 2), find u - v. Provide your answer below:

A: As we know from the definition of the dot product of the two vectors. If the given vectors are a=a1,…

Q: Find the area inside one leaf of the rose: r = 5 sin (30) The area is

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Q: 1. An arithmetic series is defined by the formula a = 2n+1. a) What is the first term of the series?…

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Q: Find the area of the region bounded by: = 6 cos (60) 0 ≤ 0 ≤ 2π r =

A: To find the area of the region bounded by given polar curve

Q: Find the limit. Enter DNE if the limit does not exist. x²y lim (z,y) → (0,0) x² + 7y²

A: It is required to find the limit limx,y→0,0x2yx2+7y2. First plug in the point and simplify.…

Q: Evaluate • fff ²² e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y²…

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Q: Express the solution to the following inequality in interval notation. 6 2x + 1 ≤2

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Q: 3 5 4 3 2 1 -1 -2 -3 -4 -5 I V = 2 3 4 6 The graph above shows the base of an object. Compute the…

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Q: Use the ratio test to find the radius of convergence of the power series R= ✓ (If the radius is…

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Q: In the year 2000, the population of a small city was 49,000. The population grows at a rate of f(t)…

A: Rate of growth ft=1300e0.05t people per  t years after 2000

Q: Convert the Cartesian coordinate (-1,-5) to polar coordinates, 0≤ 0 < 2π

A: Given,            The cartesian coordinate is -1,-5.To find : Convert the given cartesian coordinate…

Q: otal daily cost (in dollars) of producing a mountain bikes is given by C(x) = 1,095 + 6 x+ 0.08 x².…

A: To solve the following problem

Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

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Q: Evaluate > f zy³dz + z³dy, where C' is the rectangle with vertices (0,0), (6.0), (6,2), and (0,2).

A: To find:- ∮cxy5dx+x3dy Where C is the rectangle with vertices 0,0,6,0,6,2,0,2