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A: Introduction:Probability is a measure of the likelihood of an event to occur. Many events cannot be…

Q: If GCD of (a,b) is 1 we can find the lcm by multiplying a and b. True or false

A: if GCD(a,b) is 1, We can find lcm by multiplying a and b.   This statement is True.

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

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Q: Complete the parametric equations of the line through the point (-5,0,-2) and perpendicular to the…

A: We have to find the parametric equation of a line.

Q: The actual table is given 12 -1 0 2 -α 0 0 0 1 Find the values of parameter a for which matrix A is…

A: A matrix A is contested if det(A)≠0 We have to find those values of α for which det(A)≠0.

Q: Find three positive numbers whose product is fixed such that their sum is as small as possible. Use…

A: To write the problem formally, one may find it as, To MinimizeF(x,y,z)=x+y+zsubject…

Q: 1) Find the general solution for the following differential equation. 2 +²y²-7ty=-y²

A: Given that the differential equation is…

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Q: dy Which one of the following is the solution to the Initial Value Problem: y = (y² −y)(2x + 5) ,…

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Q: x-3 2-3 ²³-7x+12 1. lim 2 2.9 2.99 2.999 3 3.001 3.01 3.1 7 use

A: Since there are four different problems, According to the guidelines, I will solve the first one…

Q: (2(4+1)/10 +3*6/9*1+1²)/4 aluate the expression using

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Q: Find the general solution of the homogeneous system below. x1 + 2x2 3x3 = 0 4x1 + 7x29x3 = 0 -x1 -…

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Q: Lucky Larry wins $12,000,000 in a state lottery. The standard way in which the state pays such…

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Q: Given an f(x) = 1/x with a = 1 and b = 2 with step size = 0.25. What is the approximate value using…

A: fx=1x with a=1, and b=2, the step size is h=0.25. To Do:Using the Trapezoidal rule find the…

Q: Solve the initial value problem y = 8 +32x+160x² + 800 3 y" + 5xy' — 20y = 0, y(0) = 8, y'(0) = 0. -

A: The given initial value problem y''+5xy'-20y=0, y0=8, y'0=0. We have to find a solution to the IVP.

Q: (a) Central difference numerical gradients can be used when solving differential equations using the…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Evaluate the integral using Composite Simpson's 1/3 Method. √√1-xºdx= Apply Composite Simpson's 1/3…

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Q: Given an initial value problem expressed in the following equation; y' + 2y = x³ e-2x, y(0) = 1 with…

A: Given  y'=x^3 e ^(-2x)-2y Initial conditions are x0=0, y0=1 Let's find x=0.1 find the value of y

Q: The linear transformation is given f: R³ R³: (x,y,z) →ƒ (x,y,z) = (az, by, cx), a,b,c=R. Determine…

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Q: Evaluate the integral over the region R. SSR 72²dA where R is the trapezoid bounded by y = x,y =…

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Q: n! n=1(n+1)!2" 8 Σ 1

A:

Q: b) Suppose that W is the subspace of R" of equation x1 + x2 + + n = 0. Find the dimension of W…

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Q: Complete the parametric equations for the line where the planes-6x + 3y + 3z = -18 and -2x + 3z= -9…

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Q: 21. Which of the following statements is implied by the true statement AB = N? (a) N÷B=A (d) N-A=B…

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Q: -------0---8 2 5 and [B] 2 5 8 Multiply the matrices as follows g. {C}{D}T and

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Q: Please give your answer to at least 3 decimal places. It is estimated that 15% of all CIT students…

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Q: Let A be the point with coordinates (2, 1, -2) and let B be the point with coordinates (1, 1, -2).…

A: Co-ordinate geometry

Q: 3A Given the Euclidean inner product space (R³(R),+,,*), where for each_x=(x1,X2,X3),…

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Q: 1A Given the vector space (R³(R),+,-), two bases of S ={e1,e2,e3}, ei=R³, i= {1,2,3}, S'={u₁,12,U3},…

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Q: 1) Find the general solution for the following differential equation: y' + y = 5sin(6t)

A: The given problem is to find the general solution for the given differential equation. Given…

Q: 4. u" + wu = cos(wot)

A:

Q: P The figure above shows the curve C with equation: R y=2x² + 3x²-11x-6 The curve crosses the x-axis…

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Q: The given hypocycloid has parametric equations of the form a t b ((-5")). b) ((--)). x = (a - b)…

A: Note it has six cusps.

Q: In this problem, we establish that similar matri- ces describe the same linear transformation…

A: Given that:

Q: Σ 8 00 n=0 ∞ n=1 (-1)" 4n+1 2n+5 η (-4)"

A:

Q: A certain restaurant prepared meals during the pandemic for the first-responders. If they prepared 4…

A: Let the number of meat meal prepared is x.The number of spaghetti meal will be=4x7According to the…

Q: Suppose we have an equispaced grid z, xo + jh (0 ≤ i ≤n) and given a function f, denote fj:= f(x₂).…

A: Suppose we have an Equi-spaced grid xj=x0+jh   (0≤j≤n) and given a function f, denote fj :=fxj.…

Q: swer the following questions on the Binomial Distribution. ppose X~ Binomial (10, 0.8), at is n 10…

A: We have to compute the P(x=3) and P(x<=2) using Binomial distribution formula.

Q: The linear DE (2xy + x² + x²) dx-(1+x²) dy=0 when reduced to standard form yields -2x 1+x² dy x² C.…

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Q: Use the Shell Method to calculate the volume of rotation, V, about the x-axis for the region…

A: The given graph is y=(x-3)13-2 and 11≤x≤128 To find the volume of rotation.

Q: Exercise 10.3. Roll a fair die and denote the outcome by Y. Then flip Y fair coins and let X denote…

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Q: let a, b, and c be integers. if a divides c and b divides c, must a*b divides c?  Prove or come up…

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Q: Q.1) Consider the matrix -2 0 03 2 -5 -3 -2 6 05 15 10 0 18 8 6 26 1 The nullspace of A: Find the…

A: A matrix A=1-20032-5-3-260515100261886. To Find: a) Nullity and nullspace of A. b) Dimension of row…

Q: What is the present value of $15,000 compounded semi-annually at 8 percent for two years?…

A: To calculate the present value of an investment compounded semi-annually, we can use the formula for…

Q: The Progressive Company's research and development division is in the process of developing four…

A: Note:The give question is in poor format: So the equation given could be as: Let the continuous…

Q: 2x5 + 4x + g(x) = (2x5 4 8/5 x²

A: Given: The given function is gx=2x5+4x+4x28/5. To find: We have to differentiate the given function.

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Given: R(x)=0.006x3+0.01x2+0.5xCurrently, Pierce sells 90 lawn chairs daily

Q: Write the equation of the plane with a normal vector n = the plane. Eq: x + = (1, -5, 1) and the…

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Q: Known function f(x) = −0,1x4 − 0,15x3 − 0,5x2 − 0,25x + 1,2 where x0 = 0,5037   calculate value…

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