Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j and k. (a) Same direction as -3i + 7j. u = (b) Oppositely directed to 9i – 6j + 3k. V =

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Q: Solve the differential equation (y4 - 2xy) dx + 3 x2dy = 0. If y = 1 when x = 2, determine the pri...

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Q: Suppose that f(x) 0 for all a in the interval (-1,1). If lim f(x) = L, then %3D L> 0. For those who ...

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Q: 14. y = Vx, the x-axis and x = 4, about the line y = 2. 40T 30Tt units3 b. units3 units3 d. none of ...

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Q: The solution of the given equation (1+x²) y' + 2xy = 4x² is: O y=[(4x^3)/(3(1+x^2))]+C(1+x^2) O y=[(...

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Q: Evaluate the integral, if it exists: lim sinx dx r→+z -r

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. +C sec...

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Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

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Q: 15-20 1 Solve the initial-value problem. 15. x²y' + 2xy = In x, y(1) = 2

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Q: Evaluate the following integral sin(2z) dr.

A: Given query is to find the value of the integration.

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Q: m Let x be a continuous random variable over [a,b] with probability density function f. Then the med...

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Q: https://www.webassign.net/cgi-perl/symimage.cgi?expr=n%20%3D%20f%28t%29%20%3D%20a%2F%281%2Bbe%5E%28-...

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Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

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Q: The integral of x-Inx with respect to x is,

A: Given,             The integral of x2lnx with respect to x.

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Q: - Find the total area between y = x/3- x and the x-axis for -1 sx< 8. %3D

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Q: Determine whether the function represented by each graph is continuous or not at the given interval....

A: A function is continuous in an interval if there is no break in its graph over that interval and it ...

Q: Question 11 d²y is Blank 1. Find the second derivative of y= (x+5)² The dx- Blank 1 Add your answer

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: If f (x) does not approach 3 as a → 4 then f (4) 3. For those who have trouble viewing the Mathemati...

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Q: Show that lim Vn = 1. n-00

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Q: sin 2x 2. lim- X0 2x+x

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Q: Find the largest open interval where the function is changing as requested. 13) Decreasing y= +7 x2

A: This is a problem of function. By using the shape of the function we will be able to calculate the i...

Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: The derivative of the function y = log2(In(x)) is: 1 1 y': x In 2 In x y' = x In 3 ln x the above th...

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Q: Exercise To Try 19 Find the equation of the tangent line to the curve below at the point (1, 2). + 2...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

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Q: Determine the value of c such that the function is a probability mass function. g= {(11,0.12), (13,0...

A: For the probability mass function: ∑xPx(x)=1

Q: e ( + 4)2 dx = Evaluate the integral if it converges. Enter the exact answer, or enter na if it dive...

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated axi...

A: Given query is to find the volume of the solid generated.

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: 3. Use the following table of values to draw the graph of cos x to determine the lim cos x. X f(x) x...

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Q: 9. Consider the equation + n+ 1 n+4 1, what must be the value of n so that the graph is hyperbola? H...

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Q: cos x 2. Evaluate lim X0 x cos x lim *+0+ x X cos x lim X0" x f(x) f(x) -1 1 -0.5 0.5 -0.1 0.1 -0.00...

A: The objective is to solve the above question. 

Q: A survey of 100 people showed that 24 own a car, 59 own a bicycle, and 17 own both a car and a bicyc...

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Q: Q1. This question asks to find the average value of a function (see Lecture 10). (i) Find the averag...

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Q: 100 venicies showed that 00 Tlad Tes with low press with Dald lore, 30 Tiad tires WILIT DOlI and bal...

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Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: dx 5. HalfAnge Substuion 3+5csx

A: Consider I=∫dx3+5 cos xwe use the formula cos x =1-tan2x21+tan2x2

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Q: 5. Find the length of the curve y = 2(2+ x)², 1<x<8 %3D

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Q: Prove or disprove : [-x]=-[x] for any real number x

A: Suppose, [[-x]]=-[[x]] is true for all the real numbers x. Here, [[x]] is the greatest integer funct...

Q: ,sinx cosx dx 7. E e А. 2e С. е — 1 D. 1 – e В. е

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Q: Please don't copy and paste other answers. Please answer based on your knowledge on the paper. Thank...

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