What is the general formular for simple linear regression? * a) y = ßo + ß1x b) y = ß1 + ß0x c) none of the above d) both A and B

Q: 2) Given: x = t³ + 1, y = t² – t a) Find dy/dx and d²y/dx². b) For which values of t is the curve…

A: The given functions are: x=t3+1, y=t2-t

Q: #3: Find the maximum of the following function: h(x, y) = In(x40 y8) given the constraints: 5x² + y²…

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Q: Find det A using the method of cofactors and the sign matrix. 2 2 6 A = 0-8 6 - 2 0 1 det A =…

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Q: (x'+y' )dx +(2xy+ cos y)dy

A: (x2+y2)dx+(2xy+cosy)dyIt is of the formMdx+Ndy=0where M=x2+y2  ,  N=2xy+cosy∂M∂y=2y  ,…

Q: Let P = f(t) = 600(1.04)' be the population of a community in a year t. If the percentage growth…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Given that a function: f(x,y,z) = xy+yz+xz  We find directional derivatives of this function at p in…

Q: Set up the triple integral needed to compute the volume of the tetrahedron bounded by the plane 21a…

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: The function f(x) = 2x³ – 33x² + 60x + 10 has one local minimum and one local maximum. Use a graph…

A: The given function,      fx=2x3-33x2+60x+10

Q: In practical applications the Richter magnitude depends on local geological factors and the aver…

A: The given reasonable model is R(A)=logA2.5+4.25 .............................. (1)

Q: Let A be the given matrix. Find A-1 without a calculator. 00 1 A=100 010 A 1

A: The given matrix is A=001100010

Q: A certain vehicle can accelerate from a standing start to a speed of  v(t) = −0.21t2 + 16t  feet per…

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Q: region

A: Please refer to the image below

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Let f(x) = 2x + 3 and g(x) = x2+ 4x + 3. a) Find and simplify (g◦ f)(x). b) Find f −1 (x) and show…

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Q: 3-4 Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the…

A: See the answer below

Q: Let f(x) = 4x + 3, g(x) = −2x2 + 4. a) Find the average rate of change of g(x) from 0 to 2. b) Find…

A: a) Average rate of change of a function over an interval [0,2] is given by A=g(b)-g(a)b-a Given,…

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

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Q: Find the volume of the solid generated byrevolving the specified region about the given line. R…

A: Let's find.

Q: 8 culate |4x2dx, given the following. 1 7 8 dx = 114 169 2 Xdx = xdx = 24 1 7 1

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

Q: 1 let w = f(x, y, z) = Vx²y+y² z+z²x and x = 3st, y = 4st, z = 2st. a) Find ow dx dw b) Find dt and…

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Q: r = 1- cose circle rose inner loop cardioid dimpled convex spiral lompio oato

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Q: Devin set up a fund that would pay his family $3,500 at the beginning of every month, in perpetuity.…

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Q: WRITE THE SUMS WITHOUT SIGMA NOTATION. THEN EVALUATE THEM. > (-1)* cos kn k=1

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Q: (x* +y' )dx+(2xy+ cos y)dy

A: Follow the procedure given below.

Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: 3: Find all the second-order partial derivatives of the functions a) f(x. y) = x + y + xy

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

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Q: 5. Mark each statement as true (T) or false (F). No justification is needed. Assume that converges…

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Q: Set up the integral of the volume of the solid formed by revolving the region bounded by y = x² and…

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Q: Let 8n an 1- 2n For the following answer blanks, decide whether the given sequence or series is…

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Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A: The given curves are: x=4y-y2, y=x   Now find the point of intersection between the given curve and…

Q: Example Find the volume of the region ,2 enclosed by

A: We are asked to find the volume of the region

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Q: Determine the area that lies inside r = 3 + 2 sin 0 and outside r = 2 (the green region below). r =…

A: In this question, we need to find the area of the region that lies inside r = 3+2 sin θ and outside…

Q: 14. (a) If f and g are continuous functions on [a, b] with f> f g for every xe [a, b], must it be…

A: Solved below

Q: 2. A company's total sales (in millions of dollars) t months from now are given by S(t) = 2Vt + 6…

A: given comapny sales s(t)=2t+6

Q: f(x) da, where Evaluate S 5æ°, 0<x <1 f(x) =3 62, 1 <r< 2. 2 | f(x) dr =

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Q: Q-5: [5 marks] Find the points at which f(x) = (x – 2)*(x + 1)³ has relative extrema.

A: Solving extreme

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: Find your answer below

Q: Solve using the method of undetermined coefficients y" + 3y' +2=6

A: Let's find.

Q: Find the absolute maximum and minimum of the function f(x,y) = 2y + 36x + 11 over the closed region…

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Q: Show that the signum function is discontinuous at x = 0

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Q: 3. S sin®2y · /cos2y d|

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Q: 2. S(4a³ – 6a² + 15a)(-a² + a – ) da

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Q: 4. S V(3x4) – /(7x³) – V12x² dx

A: The given integral is: ∫3x4-7x3-12x2dx

Q: H.W: find the local maxima, local minima, and saddle point of the functions: 4. f(x, y) = 2xy–x² -…

A: The given function is  f(x,y)=2xy-x2-2y2+3x+4.