Express (5x + 7y, 8x + 5y, 0) as the sum of a curl free vector field and a divergence free vector field. (5x + 7y, 8x + 5y, 0) = 1 + OPASNIPPng +++ 04-

Q: 26. What does the alternating series test tell us about A. The series is converges absolutely. B.…

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

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Q: Find the slope of the line through P and Q: P( – 2, 2) and Q( – 4, 5). -

A: Given query is to find the slpe of the line passing through P and Q.

Q: Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

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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: 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: Problem 2 a. If y(t) = x₁(1) * x₂(t) = e^(1+3)u(t+3), find z(t) = x₁(t+4)* x₂(t−5). b. If x₁(1) =…

A: In this question we have to find the values of the functions.

Q: (x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

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Q: Determine the point(s) at which the given function f(x) is continuous. f(x) = 15x - 21+5 sin (2x)…

A: GIven function:- fx=5x-2+5sin2x

Q: Determine the symmetry with respect to the ?-axis, ?-axis, and the origin for the given equations.…

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Q: Compute and sketch the vector assigned to the points P = (0, 8, 8) and Q = (7, 1, 0) by the vector…

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Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

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Q: Write the equation of the line in slope-intercept form that passes through the points (-1,5) and…

A: Given query is to find the equation of the line in slope intercept form.

Q: 36. Approximate approximation A. 3.039 B. 6.078 C. 8.105 D. 4.053 E. 12.156 the integral egral; de…

A: Let's find integral by using trapezoidal method.

Q: Find the average rate of change of the function from x=1 to x=4 of f(x)=-8/x^2

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Q: 2. At what point does g(x)= have a removable discontinuity? A. x=8 B. x= 8 C. Nowhere D. x= 1 E.…

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Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If  y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: (4) Find the area of the region in the first quadrant bounded above by y = √x - 1 and y = x - 3.

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Q: Consider the ellipsoid x² + 44²³ +2²2² = 18 Find an eg. the tangent plane to ellip sord at the point…

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Q: A point is located in a polar coordinate system by the coordinates r = 5.4 m and = 32°. Find the x-…

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Q: The count in a bacteria culture was 200 after 20 minutes and 1900 after 40 minutes. Assuming the…

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Q: valuate: fe²z cos(e³)dz = + C Hint: Rewrite e² = e.e²

A: Please refer to the image below

Q: F] Draw a rough sketch of the following relations. (Show work) 1) f(x) = 3x - 2 f(x) = x² + 4 2) 3)…

A: As per our guideline we are allowed to answer only three subparts of a given problem. So kindly…

Q: Determine the point(s) at which the given function f(x) is continuous. f(x)=√6x +30 Describe the set…

A: We have given function  fx=6x+30 Function will be continuous if  6x+30≥0 6x≥-30 x≥-306 x≥-5 Interval…

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: Concept: Average velocity and instantaneous velocity is given by the following equation:…

Q: 2. Determine the common ratio for the sequence: 1, 3, 9, 27, 81, ... a. 3 b. 3 Cc. -3 d./

A: Given query is to find the common ratio.

Q: converges

A: We have to determine the given series is convergent or divergent using integral test

Q: Fill in the rest of the table. xf(x) g(x) 3 2 4 1 1 2 3 4 10 5 3 4 2 5 1 LO 5 f(g(x)) g(f(x))

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Q: The table shows the position of a cyclist. t (seconds) s (meters) (a) Find the average velocity for…

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Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

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

A: Here is the required solution:

Q: Kendra bought 188 donuts for $160. Her profit was $40 once she had sold 100 donuts. Which equation…

A: Find profit

Q: The ideal gas law is known as PV = nRT Where P, V, n, and T refer to pressure, volume, moles and…

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Q: {(1, 2), (2, 5), (3, 7), (1,3)} {(3, 3), (4, 5), (5, 11), (6, 13)] 9. 10.

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Q: 1. Solve the following initial value problems: (a) y' - 12 = 0, y(0) = 4

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Name: Turning Points, Increasing, Decreasing Interva 1. Below is the graph of the function f(x).…

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Q: um 2x-3x 3х 4x Х→0

A: For the following problem,

Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

A: We can find the exponential function as below.

Q: Find the derivative of the function f(z), below. It may be to your advantage to simplify first. 28…

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Q: 3. Obtain the 6.S. sy dx + taydy = 0 xcos

A: We have given equation  xcos2y dx+tany dy=0 xcos2y dx=-tany dy x dx=-tanycos2y dy x dx=-sec2y tany…

Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: 58)941

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Q: (b) Find the volume of the solid generated when R is rotated about the x-axis.

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Q: 4 + 12--104 X

A: -9x + 12 -10 + x Separate the variable and constant

Q: 2Y+ 3/4X=Z/3

A: The given expression 2Y+34X=Z3 we have to solve the expression for X,Y and Z

Q: Evaluate the line integral F. dr where F = (3 sin x, 3 cos y, 10xz) and C is the path given by r(t)…

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Q: To test an individual's use of a certain mineral, a researcher injects a small amount of a…

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Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0 B.…

A: Topic:- application of integration and differential equations Note :- as per our guideline if more…

Q: Solve the inequality involving absolute value. Enter the exact answer in interval notation. To enter…

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Q: 'ind the general term of the sequence, starting with n = Determine whether the sequence converges,…

A: Topic:- sequence and series