Apply Gauss's theorem to evaluate. A

Q: Show that A(1,0,2), B(-1,2,7), C(4,0,1) & D(2, -2,-3) are non- coplanar.

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Q: [2D+3 ID+1 11 [2D. D + 41 D+21 +40}={¯ cos

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Q: The demand curve for a certain product is given by p(q) = 593-q². The supply curve is given by p(q)…

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Q: 14 16 18 20 22 22 24 26 28 2 14 Pizza Prices Around Town

A: In this question, the concept of line of best fit is applied.

Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t − 3)y' + (t − 6)y = 0…

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Q: (¹) A thoroughly cooked pizza is removed from a 400° F oven and placed in a kitchen that is 75° F.…

A: Here by given information we can use Newton's law of cooling. We have to use calculator to find the…

Q: Find the linear approximation to g(z) = cos(z + 1) at z = 0. Use the linear approximation to…

A: The formula to find the linear approximation Lz of a function fz at the point z=z0 Lz=fz0+f'z0z-z0

Q: QUESTION 22 Which of the following is a regular tiling of the plane? OA. OB.

A: Let us solve the given question regarding regular tiling of a plane in the next step.

Q: Problem 1. Define the sequence a, such that a₁ = 3, a₂ = 5. For each n ≥ 3, an = an−1+2an-2-2. Use…

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Q: What is the future value of the annuity? Regular Payment $2500 every 6 months Rate of Compound…

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Q: Identify the type I error and the type II error for a hypothesis test of the indicated claim. The…

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Q: Solve for the only positive value of x that satisfies the equation x²-1=--(1-e²³) 2 Using the…

A: The fixed point iteration method uses the formula: xn+1=ϕ(xn) and the initial approximation of the…

Q: Find a, b, c, and d such that the. Relative maximum: (2, 9) Relativ-

A: Given,            f(x)=ax3+bx2+cx+d

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

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

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: Calculus. Please write the complete solutions legibly. Upvote will be given! Find the area bounded…

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Q: dt dy dt ind the general solution for x(t) and y(t) olve the initial value problem x(0) = 1, y(0) =…

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Q: 1. Which of the following is true.? Z₂[x]/(x³ + x + 1) = Z₂[x]/(x³ + x² + x + 1) C[x]/(x² + 1) Is a…

A: Given:  1) a) ℤ2x/x3+x+1≅ℤ2x/x3+x2+x+1 b) ℂ[x]/x2+1 is a field. c) x2+100x+2500-n2 is irreducible…

Q: Q3: Answer the following: a) Use Cauchy-Riemann equations to test whether f(z) is analytic. Here…

A: Here given function  fz=z+iRez-eizorfz=z+iRez-cosz-isinz   .......1 Now consider z=x+iy Then…

Q: MAR P # Video Example) EXAMPLE 8 Find the volume of a pyramid whose base is a square with side L and…

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Q: Question 7( Determine the most suitable form of M) that should be used when solving each 24…

A: To Determine: Most suitable form of y(t) for solving the equation: (a) y''+9y=sin(2t)+t2cos(3t)+3.…

Q: Find the general solutions of the system. 110 3 0 1 1 0 001 1 000 1 (t) = [ X

A: We solve by eigenvalues and eigenvector method.

Q: 3) Let r1(t) = and r2(t) = be two skew lines. Find the equation of the plane which lies exactly…

A: Given r1(t)→=t,t+2,2t and r2(t)→=t+1,2t+1,t+1 are two skew lines. We have to find the equation of…

Q: of Given f = xy² In (3y + 2x) + (xy)e™, find dy O None of the choices af ety 3.xy² 3y+2x + (2xy²)…

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Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 6…

A: Here we use simple method which is used to find deviation

Q: he length of the base of an isosceles triangle is 45.49 inches. Each base angle is 37.06°. Find the…

A: In this question, the concept of trigonometric identities is applied. Trigonometric Identities The…

Q: 214 20. Are the matrices A= 0 2 3 and B= 027 -334 -140 similar? 234

A: The 2 matrices are not similar.

Q: B)Prove (cose + i sine)" = cosno + i sin no

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Q: The vertical distance covered by a rocket from 0 to 2 seconds is given by I = dx a) Use the…

A: Given integral  is I=∫021xdx Given function is f(x)=1x Since we know the  formula…

Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 75-99…

A: Given: A grouped data, To find: Standard deviation of grouped data.

Q: Solve the initial value problem below using the method of Laplace transforms. I y" + 3y' + 2y = -9…

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A: Given function f(x)=ax3+bx2+cx+d and the conditions relative maximum (2,9), relative minimum (4,3)…

Q: b) Solve the following system of differential equations: [2 dy(t) = Ay(t) with y(0) = -H. where A =…

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Q: Four boys were playing marbles; their names were Gary, Harry, Iggy, and Jack. One of the boys had 9…

A: Gary shot before hary and jack.  Implies Gary <  Harry/ Jack Jack shot before harry implies…

Q: Determine the length of the third side of the right triangle. Write the answer as a simplified…

A: Pythagorean theorem:  The square of length of hypotenuse is sum of square of length of other sides…

Q: 8. Suzanne told her friend Johnny that he needed to know for the calculus test that the derivative…

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Q: Homework: Ho A strain of bacteria is placed into a petri dish at 30°C and allowed to grow. The…

A: Given: The data, Time(hours), x Population, y 0 0.16 2.5 0.31 3.5 0.44 4.5 0.58 6 0.82…

Q: College Units Frequency 0-24 4 25-49 3 Find the standard deviation for the grouped data. 50-74 6…

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Q: of The Path modeled by - 4/1/4ײ +24 2 Jon the V diver is 9 19 x OT C + S S

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Q: QUESTION 1 You own a painting whose dimensions are 11 inches by 14 inches. If you create a slide of…

A: Uniform scaling  is a linear transformation in Euclidean geometry that enlarges (increases) or…

Q: If a function does have a property you do not have to explain why; but if a function fails to have a…

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Q: Find an equation of the normal line to the surface given implicitly by z = sin(xy) at the point…

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Q: The region above the curve y =x3, under the line y = 1, and between x = 0 and x = 1 is to revolve…

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Q: A company manufactures two products P₁ and P2. Profit per unit for P₁ is Rs. 200 and for P2 is Rs.…

A: Since you have posted a multiple question according to guildlines I will solve first question(Q7)…

Q: Solve the initial value problem below using the method of Laplace transforms. ty" - 5ty' + 5y = 25,…

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Q: determine if type of mortgage and home purchased are independent.  Justify your answer by showing…

A: Two event A and B will be independent if  PA∩B=PA×PB

Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Q: The base of a three-dimensional figure is bound by the x-axis and the line y = -2x + 3 on the…

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Q: -20 -10 -10- -10- -20- (0,-16) 10 20

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Q: OSS T (x+y2) dydx

A: When the region of a double integral represents a circle, it is convenient to use polar coordinate…