Calculate S3, S4, and S5 and then find the sum for the telescoping series 5=(1+2) n+ S

Q: and a tangent vector at point P. 2 166. (x² + y²)² = 9 (x² - y²), P(√2, 1)

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Q: Find all four ways how to write point (3, 60°) in polar coordinates.

A: The point r,θ=3,60°

Q: Use the limit comparison test to determine if the series converges of [ 30².6 n-o O Converges O…

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Q: 17. In 3/1 x 1 Lett In 20 + y dy dx

A: ∫ln2ln3∫01ex+ydydx

Q: 37. a. Show that the function is a solution of the differential equation b. Show that f(x) = eª .…

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Q: The process of synthetic division applies equally well when some or all of the coefficients are…

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Q: дz Use implicit differentiation to find and дх дz дх дz ду || || x2 - y2 + z² - 8z 8 дz ду

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Q: . Find the distance traveled by the object for the interval 0 ≤t≤ 5.

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Q: Find the sum of the first five terms of the sequence. 1 a₁ = 5; an = n 1 1 n+1' n22

A: To find the sum of the first five terms of the sequence. a1=5, an=1n-1-1n+1, n≥2

Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 450 - 0.09x², x…

A: For the demand function dx and demand level x, to find  the consumers' surplus. dx=450-0.09x2, x=40…

Q: The area below the graph of f(x) = √x and above the ï— axis, on the interval [0, 8], is to be…

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Q: The rate of change of profit for a company is given by p(t) = 327 e thousand dollars per year, t…

A: Given that , pt=327e-0.21t

Q: Construct an equation where the area under the curve is 1.

A: construct an equation where the area under the curve is 1

Q: Find the magnitude of vector v. -1 1 -1 -2 -3 -4 -5 1 2 V ليا 3 + 4 5 (4,-3) K H

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Q: The next step is to find du = g'(x) dx. First find g'(x). g(x) = x + 9x 6.x³ +9 Therefore, we have…

A: Find where wrong Your wrong 1/u it is wrong Right is 1/u^2

Q: The base of a solid is the region in the xy-plane bounded by 3 the curves y 6- - - 2 x2 x² and y =…

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Q: Find the average value gave of the function g on the given interval. 8 1+ [0, 9] gave = g(t) = =

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Q: A poster inches with J drea and poster x is song tall to have 1 inch margins 2 inch in write of the…

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Q: 6) Write an expression that can be used to find the average rate of change in the function g(x) over…

A: Given the function g(x) average rate over an interval [4, 9].

Q: Maximum and minimum value 2) at Find the critical numbers F(x) = x ³ (4-X) OF bi Find the absolute…

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Q: 2 you torke out. of it Ile 1 Cream is on experiments show Cream, as differentible. If al trese T d+…

A: You take a Container of icecream out of your 35°F freezer and place it on the counter of your 74°F…

Q: Write the vector shown on the graph below as a linear combination of standard unit vectors i and j.…

A: Graph

Q: 50) In e A)-1 B) 1 C) e D) 0

A: Give that  ln(e)

Q: Find the indefinite integral. 6x5 +9 dx (x6 + 9x)²

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Q: Given vector v = (–6, 4), find −0.5v graphically by stretching the vector by its tip and then…

A: -0.5v NOTE: Refresh your page if you can't see any equations. . the given vector is  and we need to…

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 26 cm…

A: Volume of the cylinder = πr2h where r is the radius and h is the height of the cylinder.

Q: Determine whether the given point (x,y) is on the unit circle. Nin 21 No OYes

A: This is question of calculus  here one point is given  we have to verify that this point is on unit…

Q: Find the volume of the solid formed by rotating the region enclosed by y=e¹ +3, y=0, x=0, x=0.8…

A: Consider the given function y=ex+3, y=0, x=0, x=0.8The volume about x axis is evaluated  as…

Q: 63. bn = 3-4" 2+7.4" n

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Q: Let the vector v have an initial point at (4, 7) and a terminal point at (-2, 6). Plot the vector v…

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Q: 23. 23, 24, 25 and 26 Find a power series representation for f, and graph f and severa on the same…

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Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

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Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

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Q: 11) An animal population oscillates over a 7 year period from a low of 800 in year t = 0 to a high…

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Q: Derive the series for regs for x > 1. Careful! Remember the restriction on r for geometric series!…

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Q: Evaluate the surface integral 3x dS, where S is part of the surface of a paraboloid with…

A: We have to evaluate the surface integral.

Q: Subject: calculus  Using integration, find the area of the region enclosed by the lines 2x+y-6=0…

A: Given equation of lines are as following 2x+y-6=0 ; 3x-2y-1=0; x-3y+4=0 To find the area enclosed by…

Q: Find the first term in a geometric sequence in which the common ratio is 5/4 and the tenth term is…

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Q: 3) Find the equation of the osculating plane of the helix x = sin 3t, y = 2t, at the point (-1, π,…

A: x=sin3t y=2t z=cos3t Point÷ -1,π,0 π=2t means t=π2

Q: A hot object cools down according to Newton's Law so that thours after the start, the rate that heat…

A: The rate that heat leaves are 26e-t3

Q: Use the standard Maclaurin series for sin(x) and cos(x) to find the first three non-zero terms in…

A: We have, Maclaurim series for sin x and cos x

Q: Determine convergence or divergence of the series. n=1 In n 4n-5 O Converges O Diverges W

A: The given series is:∑n=1∞ln n4n-5n

Q: In a certain arithmetic sequence, a = -2 and d= 7. If Sn = 1035, find n. n= Need Help? Read It Watch…

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Q: Find the four second-order partial derivatives. f(x,y) = 3x³y - 5xy + 8y fxx (x,y)= 216x y y (X,Y)=…

A: To find the four second-order partial derivatives. fx, y=3x9y-5xy+8y

Q: The following table gives values of a continuous function. X ave 20 25 30 f(x) 41 38 29 35 40 45 50…

A: The following table gives values of a continuous function. x 20 25 30 40 45 50 fx 41 38 29 26…

Q: Solve the trigonometric equation for all values 0 < x≤ 6. 2 sin 2x = √3 ******

A: NOTE: Refresh your page if you can't see any equations. . the given equation is and the given…

Q: Octo of large aquarium + Cos (7²) gallons f(t) = 100 - † (os (7²) leaks OLA of the Flows Salt Water…

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Q: Question 7 Use the ratio test to determine if the series converges or diverges. n-1 15 O Diverges O…

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Q: b) A water tank has the shape of inverted circular cone with base radius 2 meters. and height 8…

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Q: 9) Use the table of values below to find the average value of f (x) over the interval 0≤x≤ 20. Show…

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