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Q: Let S be the portion of the plane 2x + 3y + z = 2 lying between the points (-1, 1, 1), (2, 1, −5),…

A: S is the portion of the plane 2x+3y+z=2 lying between the points (-1, 1, 1), (2, 1,-5), (2, 3,-11)…

Q: Use a tangent plane to approximate the value of the following function at the point (-3.9,-5.1).…

A: at the point Tangent plane to approximate the value FormulaFirst We must calculate the use the…

Q: Which of the following is the coordinates of all points on the surface with equation z = x³-5xy¹…

A: To find the coordinates of all points on the surface where the surface has a horizontal plane, we…

Q: Complete the row of each truth table. Use T for true and F for false. P F a T 9 T b F LL r qar 0 T C…

A: Complete the row of each truth table. Use T for true and F for false.p qrFTTabcTFF

Q: (c) For each graph below, find an Euler trail in the graph or explain why the graph does not have an…

A: Let, G (V,E) be the given graphV =[ a ,b ,c ,d ,e , f ]E =[E1, E2 ,E3 ,E4 ,E5 ,E6 , E7 ,E8 ,E9 ,…

Q: g. The sum of three conscecutive even whole numbers if the greatest is x. The expression for the sum…

A: If the greatest number is x, Since all the numbers are even, The second number will be even number…

Q: Solve the given differential equation by separation of variables. dp dt = P - p²

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Q: d. The amount of bacteria after n min if the initial amount of bacteria is q and the amount of…

A: As per the guidelines, I am supposed to solve only first question from the given questions.d. The…

Q: Given the matrix K 7 -3 5 2 =[-²4 -4 21.1 find KTK.

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Q: notation to write the sum. [6((1)/(9))+9]+[6((2)/(9))+9]+cdots +[6((17)/(9))+9]

A: Given[6((1)/(9))+9]+[6((2)/(9))+9]+...... +[6((17)/(9))+9]total terms are 17 so it should be…

Q: A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt…

A: Let say amount of salt in the tank after 't' minutes be 'y' pounds.

Q: 5-2²-y² 4 For the function f(x,y) that has a positive component. Question Help: Video find a unit…

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Q: a. 4₁ b. 10, دن ف C. d. ! 14² ~ 1 1 1 12 GN! 2 -5 a. Find the missing terms in the geometric…

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Q: Find the solution of the IVP x" - x' + 5x = 4+ u₂(t)e-2(t-2) x(0) = 2, x'(0) = -1 where u₂(t) is…

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Q: Solve the given initial-value problem. x²y" + 3xy' = 0, y(1) = 0, y'(1) = 8 y(x) = 4 ,X>0 Use a…

A: We have to find  and also draw the graph of the solution.

Q: Which of the following method(s) is/are applicable to solve the following line integral So where C…

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Q: 3x So f f(x,y) dydx

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Q: 1. Kaman deposits $675 at the end of each year into an account that earns 5.4% per year compounded…

A: According to the given data, find the amount of after 3years:

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the…

A: Here using venn diagram we have to findn(A∩ B ∩ Cc) .

Q: ONE OF YOUR COMORY LUSED LABORATORY INSTANTANEOS TEST SIGNAL VOLTAGES (V₂) IS DESCRIBED BY THE…

A: The equation provided describes a sinusoidal signal with amplitude 6, frequency f, a phase shift of…

Q: 4. Expand the f(x) = - In |2 sin in | function to the Fouriér Series.

A: Given: The function .Objective: To expand the function  into a Fourier series representation.

Q: Write a related addition sentence. 13-z= 7 A related addition sentence is (Type the equation without…

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Q: Josephine plans to invest $200 at the end of each month into an RRSP for the next 10 years. If she…

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Q: 5) Let A = {1, 2,4} a) Determine TA b) Show that A is a To space which is not T₁. Is A a T₂-space?

A: a. To determine the topology  generated by the set A = {1, 2, 4}, we need to consider the collection…

Q: Let f be a differentiable function of x and y, and let g be the function defined by g(u, v) f(eu +…

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Q: 7.10. Let T: R³ → R2 be a linear transformation, and let 1 2 1-1 = 3 u=2 W= and x = 2 Given that…

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Q: To help with preparations, a couple has devised a project network to describe the activities that…

A: ActivityABCDEFGHTime (weeks)536663119

Q: Find the missing digits in each of the following. b. a. 8 1 6 3 6 G||NI INNO 5 0 2 2 2 6 3157 665

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Q: 2/ n²e-²x dx is equal to J₁/n A) 20 e²-1 B) 4e e2-1 C) 2₁ c D) 3 E)

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Q: (a) Find the derivative of the power series 1 f(z) = −3+ In ² n=1

A: (a)

Q: Find lim inf an and lim sup an for the sequence {an} defined by n→∞ n-x an = COS 2πη 9

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Q: Find a general formula for 2^0+2^1+2^2+2^3 + ... + 2^n and prove it by induction.

A: To Find:The general formula and prove it by induction.

Q: Find formulas for the voltages X₁ and x₂ (as functions of time t) for the following circuit…

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Q: A) plot the amplitude spectrum x(t) 2 A 누 2 3

A: As per the question we are given a periodic pulse with amplitude A = 2 and frequency T = 2Now we…

Q: Solve the given system of differential equations by systematic elimination. d²x dt² d²y = 16x - et…

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Q: (a) Define an inner product on P3 by (f,g) = f* f(x)g(x) dx. = Find a polynomial f(x) ax² + bx + e,…

A: Two distinct functions f and g are said to be orthogonal if their product space is zero that is…

Q: 6. 2.9 1 -2.3 -3.2 x y -2.5 -1.4 0.2 3.0 -3.2 -2.3 2.9 1.0 x-y değer çiftleri -2.5 -1.4 Find the…

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Q: Find the tangent plate to the equation z = Question Help: Video Submit Question 52²-3y² + 3y at the…

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Q: Question 2: A: Use 3/8 Simpson's rule to calculate the following integration, (use h=0.5). ₁5(x + 1)…

A: The function a=1 and b=4.5,  h=0.5The Simpson's 3/8 formulaNow

Q: Evaluate !=dx by using Trapezoidal and simpson's(1/3) rule with h=0.25 and b=0.5. Compare 1+x with…

A: We have to solve given integral by Trapezoidal and simpson's(1/3) rule with h=0.25 and h=0.5 and…

Q: Which of the following are graphs of functions and which are not? Justify your answers. Complete…

A: A function is defined where each input has only one output.

Q: Problem 9 If A and B are similar matrices (B = QAQ-¹ for some Q), prove that v is an eigenvector of…

A: Given that A and B are similar matrices.

Q: Every vector in R" has a normalization, which has magnitude 1. 阿 True False

A: Given statement is False.

Q: Identify the quadric surface for the equation z² = x² + 2y². a hyperboloid of one sheet a hyperbolic…

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Q: Describe how one may proceed with solving -2 (2-3) Solve the equation. You may express your answer…

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Q: Given the following data set find an exponential regression model. X 4 5 6 7 8 9 Y 8 8.5 9.2 10.3…

A: The given data,xy45678988.59.210.313.118.2We have to find the exponential regression equation for…

Q: Is it true or false that if I is a principal ideal in a commutative ring R with multiplicative…

A: Is it true or false that if  is a principal ideal in a commutative ring  with multiplicative…

Q: Consider the following initial value problem, in which an input of large amplitude and short…

A: Let us solve above differential equation by Laplace transform.

Q: Graph the following function: y = 2 cot (4x + π) -3 Drag the movable black point to set the left…

A: The given function is .To sketch the graph of the given function with explanation.A horizontal…

Q: Find the general solution of (1+x) dy=x√1-y dx

A: Consider the given differential equationWe have to find the general solution of given differential…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.