Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

Q: Use the method discussed under "Equations with Linear Coefficients" to solve Problems 29-32. 30. 29.…

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Q: 8. [ V4 – x? xdx

A: The given integral is: I=∫4-x2xdx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Find the indicated limit by using the limits 6f(x, y) lim (x,y) → (a, b) g(x, y) lim (x,y) → (a, b)…

A: Given: lim(x,y)→(a,b)f(x,y)=3lim(x,y)→(a,b)g(x,y)=-5To find:lim(x,y)→(a,b)6f(x,y)g(x,y)

Q: Q4A) Find area bounded by y = 0, y = 1-x²,x= 0 and x = 1. B)Is w=zx¹ analytical function or not? 2 2…

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Q: 11, 0-20² 2. 3. चं 5. T S cos 2x dx sin(²³) cos²(:-) / dx 2x-1 4x dx dx 6. 7. 8. S [² (x² + 0²³) dx…

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Q: H.W: Evaluate the integral 1. 30 [ (x²y - 2xy)dydx 0-2

A: Given: ∫03∫-20x2y-2xydydx

Q: The equation u = 2uxx is O an ordinary differential equation in two variable: t and x O a partial…

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Q: 16. (yety-1/y) dx + (xey + x/y²) dy = 0

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Q: The region bounded by x = 1 - y¹, x = 0 is rotate about the line y = -5. The volume of the resulting…

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Q: Sketch the plane curve. r(t) = 3ti - tj, [0, 3] y O 2 1 -1 -2 y 3 2 - -1 -2 2 4 4 Find its length…

A: This question is related to vectors and parametric equations, we will solve it using given…

Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

Q: A particle moves along a straight line from the origin (O) with an initial velocity Va=6ft/sec and…

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Q: S 7dx x(lnx + 1)

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Q: Find the average rate of change of the function f(x) = x² + 3x from x₁ = 2 to x₂ = 4. The average…

A: The function f(x)=x2+3x from x1=2 to x2=4

Q: Find the limit. lim (x, y) (1, 56) √x + y √x + y Discuss the continuity of the function. O…

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Q: 2A)Matrix A = 12 2₁ B = B = [₁ ²2₁ find AB. -21

A: Note:- Please repost part B because unable to understand  right side of differential equation…

Q: [xvx² xvx² - 1dx Select the correct response: (x² − 1) 8 3 (x² − 1) 4 3(x² − 1) // 4 + C 3(x² - 1) 8…

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Q: y = Volume = s 1 x4' y = 0, x = 3, about the line y = -3 using the method of disks or washers. and x…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

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Q: Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If…

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Q: 3x 9. fxdx A.ln(e6x + 1) + c ₂-6x + c 3x c.exe Barctan (e6x) + c D.†arctan(e3x) + c

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Q: the displacement is correct, but the distance is wrong

A: The velocity function is v(t)=-t2+6t-8 on the interval -3,5

Q: 2 The function f(x) ==, x0, is one-to-one. X Find an equation for f(x), the inverse function. ...…

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Q: a T c. 10 ml Convert the following (us

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Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

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Q: For the vectors u = (6, 3, 4√5) and v= (3, 0, 5√5), evaluate the following expressions. a. 3u + 2v…

A: See this solution in below

Q: Evaluate the following integral. π 2 7y sin y s s dx dy 0 0

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Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→∞((√x^2+2x) −x) You…

A: Given :limx→∞x2+2x-x

Q: Question 3 Given the U= {1,2,3,4,5,6,7,8,9,10) and A = {3,4,5,6,7} B = {1,5,7,9} C = {3,6,9} D =…

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Q: 4. y = Ae bx are cosax + Bebx sinax, where a and b(lowercase) parameters. (not to be eliminated)

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Q: lf f(x) = -[-² 0 u²-6u +5du, then what is the y-coordinate of its inflection point? Selected Answer:…

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Q: 1. Suppose that C is the top-half of the circle (x-a)² + y² = a², (a > 0) oriented in the…

A: Please see the below picture for detailed solution.

Q: 10. S xdx (5x2+3)4

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Q: Use partial fractions to find the power series of the function: n=0 4x + 41 (x − 2)(x + 5)

A: To find power series for the given function.

Q: 2x+3 (2x² + 6x - 1)5 S 1)5 dx

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Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

A: Absolute minimum:- Minimum value of total function Absolute maximum:- Maximum value of total…

Q: Question: 9 a)Use the second derivative test to determine whether the function has a local maximum…

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Q: STJ (x (x + sin x) dx Jo

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Q: nd the limit (if it exists). (If an answer does not exist, enter DNE.) 15 lim (x,y) → (0,0) x6y²

A: To  find the  limit.

Q: Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: P 3. Evaluate the integral fx cos(3x²) dx as an infinite series. (You do not need to find the radius…

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Q: dy dx + 4y - e* = 0, dr y(0) = 4 3

A: Given: dydx+4y-e-x=0, y(0)=43

Q: 13. 2ny(8- y³/2) dy A) 4² (14 — y³/²) + C 7 2my 7 (14-y3/2) + C C) B) T² (14+y³/2) + C 7 D) 4²…

A: 13. The given integration is: ∫2πy8-y32dy To evaluate the given integral.

Q: The answer above is NOT correct. Find the area of the region enclosed between y = 4 sin(x) and y = 3…

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Q: 36. What is the area of the region bounded by the graph of y = 3x - 4, the y-axis, the lines y = 1…

A: See the details solution in below

Q: Write a polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial with…

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Q: Given that 2 ≤ f(x) ≤ 4 for 4 ≤ x ≤ 5, estimate the value of 5 0³/ [ f(x)dx 5 [²₁ <5 f(x)dx

A: Given 2≤f(x)≤44≤x≤5To find range of∫45f(x)dx

Q: Compute the curl of the following vector field. F = (4x²-3y²,5xy,5z)

A: We have to find out solution

Q: cos θ = 5/13 , θ lies in quadrant IV Find sin 2θ.

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Q: Find all the zeros. Write the answer in exact form. n(x)=x³-7x² +13x-3 If there is more than one…

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