Calculate the cross product assuming that = (-2, -8, -2) u x w = (4u − w) × w = (100)

Q: If you use the ratio test on the divergent series inequalities will result? A. lim,- >1 > 1 1 >1 81…

A: Topic:- sequence and series

Q: Express (5x + 7y, 8x + 5y, 0) as the sum of a curl free vector field and a divergence free vector…

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Q: In the diagrams below, three points with equally spaced x-coordinates are shown. (0,1) (2,5) mi a.…

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Q: 41. Find S, -S₂ given that S₁ S₂ = A. 1 B. C. D. E. Diverges

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Q: You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents…

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Q: For what values of x is f(x)=0?(show all work) 2.)For what values of x is f(x)=4? (Show all work)…

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Q: 6 by power Series method, Solve the following ODES: Σ m=0 amxm = a₂ + a₁x + a₂x² + a3x³ +....... •ý…

A: The solution of the differential equation is given below.

Q: 8. A MODEL ROCKET ACCELERATES AT A RATE OF 4t m/s². HOW HIGH ABOVE THE GROUND WILL IT BE AFTER 10…

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Q: +6 x² 2 - 4

A: To write the form of partial fraction decomposition for the given expression.

Q: The body mass index (BMI) is a number that can be calculated for any individual by using the…

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Q: write out the first four terms of the series to show how the series starts.  Then find the sum of…

A: Given ∑n=0∞9n8+n3

Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: 3x² + 3y² - 6x − 24y + 24 equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We have to find the center and radius of given circle.   According to our guidelines we can solve…

Q: Simplify the expression if ||v|| = 9 and ||w|| = 6. (Give your answer as a whole or exact number.)…

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Q: In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a…

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Q: Consider the following. (−3/2 , −1) (a) Find the coordinates of a second point on the graph of a…

A: As we know that A function f(x) is said to be even iff f(-x)=f(x).A function f(-x) is said to be odd…

Q: Question 12 What is the equation of the line that is vertical and passes through the point (3,-2) ?…

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Q: 1) Use the graph below to answer the following questions. Y 6 5. 4- 3- 2- MF -8-7-6 5 -3 -2 -1 0 1 2…

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Q: Solve for a. 8. 9a = 16 - a² 9. 54 = a¹ 10. a² - 16 = 32

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Q: 2 X • xý - (x+2) y = -2X²-2x Ans: y=C₂x²³ +2×

A: Given :xy'-x+2y=-2x2-2xy=∑m=0∞amxm=a0+a1x+a2x2+a3x3+...

Q: Use the Midpoint Formula to estimate the sales of a certain company in 2005, given the sales in 2003…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  year sales (in…

Q: ∞ Use the equation = Σ x” for |x| < 1 to expand the function in a power series with center c = 0.…

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Q: Find the difference quotient and simplify your answer. f(t) = 1 / t-4,  f(t) - f(3) / t-3,  t ≠ 4

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Q: Find and simplify each of the following for f(x)=3x-6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x)…

A: Given query is to perform indicated function operations.

Q: The center of a bicycle wheel is 33 cm above the ground. A reflector mounted on the spokes is 17.5…

A: Given data:- Height of the center of the bicycle wheel above the ground = 33 cm Reflector mounted on…

Q: use the limit comparison test to determine if the following series converges or diverges (hint :…

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Q: Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. n=0…

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Q: 2x x > 3 y 10

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Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: Solve the equation by factoring or the Quadratic Formula, as appropriate. (Enter your answers as a…

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Q: List the ordered pairs obtained from the equation, given {-2,-1,0,1,2,3} as the domain. Graph the…

A: Given: y=-2x+2

Q: Let F = 1xi + 5yj and let n be the outward unit normal vector to the positively oriented circle x² +…

A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

Q: Differentiate the following expressions and saveit under the given variables. 1. yp1 = 2. yp2 3. yp3…

A: Here is the required solution:

Q: upward. flux = Compute the flux of the vector field F = 5xzi + 2yk through the surface S, which is…

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Q: derivative of the function using the definition of derivative: g(t)=5/√ t

A: Given query is to find the derivative using definition of derivative.

Q: Consider the function f that is continuous on the interval [-3, 3] and for which the following is…

A: Given that , ∫03fxdx=8 and fx is continuous on the interval -3,3.

Q: B] Find the values of the functions 1. f(x) = 2x²x+3 2. f(x)=√x²4 Find (a) f(-3) Find (a) f(-2) (b)…

A: This question can be solved using the concept of value of a function at a given point.

Q: b) Calculate the following definite integral: [*(√x - 3) dx

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Q: 13. Lim (2 Flx) - 3g(x)) X-3

A: We can find the answer in the below steps.

Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: The surface area of the curve is given by

Q: does the sequence an converge or diverge? Find the limit if the sequence is convergent…

A: givenan=cos(3pi2 - 6n)

Q: each) Determine the domain of given functions. Write your answers in interval notation. a.) f(x) =…

A: We have given function  (a)  fx=2x-42x2-x-6 Domain is the values of x for which a function is…

Q: 4 = √² 43 √8-7x8 dx

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Q: In order to compare amounts of two different substances, it is necessary to figure out the amount of…

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Q: 4. f(x) = 2x2-10, g(x)= =-x

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Q: Solve: 2 cos² x = x+sin x - 1 = 0, over the interval 0 < x < 2π

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

Q: 29. Use the squeeze theorem to show TL lim √x³ + x² sin == 0 X

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Q: For the function, find and simplify f(x) = 6x² f(x +h)-f(x) h f(x+h)-f(x) h (Assume h = 0.)

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 z√ 25z² - 49 √₂√² dz

A: Let's solve given integral.

Q: For what value of the constant c is the function f continuous at 6 where if b ≤ 6 Jcb + 9 c(b)² 9 if…

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