Let v be a vector of length 2. If w = -5v, u = (-2, –2) and the angle between w and u is . then v x u and w x u are = parallel perpendicular neither parallel nor perpendicular

Q: What is / 3d x? S 3dx = 3x + C / 3dx = 3x / 3d x = – 3x+ C S 3dx = – 3x² + C

A: here we need to find the anti derivative of given function. the solution is following.

Q: Consider the following estimated regression equation, based on 10 observations. 29.1270+ 0.5906x1…

A: y=29.1270+0.5906x1+0.4980x2SST=6724.125, SSR=6216.375

Q: The system of first order differential equations 2 y1 +1 y2, 1 (0) = 8 %3D -2 yı + 5 y2, Y2(0) = -6…

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Q: 2 3) Find the general solution to y' = sec x. 4) Find the particular solution to y' = sec x tan x…

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Q: Problem 2. (6 Points) Calculate the first fundamental forms of the following surfaces: (a) x(u, e)…

A:

Q: 3. Prove that a flat surface of revolution is part of a plane, cone, or cylinder.

A: prove that a flat surface of revolution is part of plane or cone or cylinder. solution a flat…

Q: Expand f(z) in powers of (z – 12) . Also %D (z-6) clearly mention the domain in which this expansion…

A: Power's exaption and interval of converges

Q: For the functions f(x) = 3x – 4 and g(x) = x + 2, find the following and determine %3D the domain in…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (b) Prove that 1+ cosh x + cosh 2x coth x sinh x + sinh 2x 1+ cosh 2x + cosh 4x dx Hence evaluate…

A: 4b. Given,

Q: Is the subset V {(x, y, z, w), y = 3z, w = 2x + 1} a subspace of R*? Show the details of %3D your…

A:

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

A: See the attachment

Q: Find the matrix of the mirror reflection about the x-z plane in R³.

A: Any point on the three dimension can be represented using the point: x, y, z. If the point: x, y, z…

Q: h 4 (b) Lim h-0 V5h + 4 - 2

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Q: Use Green's theorem for circulation to evaluate the line integral pF · dr. F = (xy? + 7x), (2x +…

A: ere we use the greens theorem in the given F(x, y): Fx,y=xy2+7x,2x+y2or Fx,y=xy2+7xi^+2x+y2j^r=x​…

Q: For the slope field shown, which could be a family of anti-derivatives? y -6.28 6.28 O y = – cos x +…

A: Given slop field is Now we check all options one by one.   option 1: Given y=-cos(x)+C…

Q: tional derivative Daf. Describe precisely what the relationship is. b) In WA2 Q2(c) we saw that the…

A: What is WA2 in question

Q: Find the solution. y' = 5y + e-2x y-2, y(0) = 2 -15x 13e A) y = + 3e 2r1/3 23 139e 15x – 3e -2x \1/3…

A: Given differential equation is in the form of Bernoulli's differential equation.

Q: b) Verify uxy = Uyx , if u = In /x² + y² . %3D %3D

A: Consider the given function. u=lnx2+y2 To verify the equation, find the derivative first with…

Q: n different toys have to be distributed among children. Find the number of w which these toys can be…

A:

Q: For the functions f(x) = Vx – 3 and g(x) = vx + 2, find and determine the domain in each case: (a)…

A: Note: Since, you haven't mentioned which question you would like to get answered. Here, we are…

Q: 1 0> 6(x2+y²)³ across the closed curve C defined by the region in polar coordinate Using Green's…

A:

Q: 3. A metallic rod 20 cm long is heated to a uniform temperature of 100° C. At t = 0 the ends of the…

A: Consider the provided question, Given that, length of the metallic rod = 20 cm temperature = 100°C…

Q: Q3. Expand and simplify (1) (2k – 3)(k - 2)

A: Given :                      (2k - 3)(k - 2)           Now we try to expand (2k - 3)(k -…

Q: a Q5 Make Q the subject of P= Q² +b

A: we have to make Q the subject of P=aQ2+b that implies we have to solve it for Q.

Q: What is / 2sec²y dy? S 2sec?y dy = 2 sin (y) + C S 2sec²y dy = -2 tan (y) + C S 2sec²y dy = – tan…

A: Please see the answer below.

Q: Example 1: Prove that z = x² + 2y². 8²= oxoy 8²= yox using the expression:

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.