Σ [(-0.2)" + (0.6)" - 1 ] n=1

Q: for distinct constants a, b, c. Let L[y] be the differential 4. Suppose that p(r) = (r—a)(r−b)(r-c)…

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Q: Given y₁(x) = x³ satisfies the corresponding homogeneous equation of x²y"+xy-9y=-32x − 9, x > 0 Then…

A: x2y''+xy'-9y=-32x-9, x>0 y1x=x3 is a solution

Q: For the sequence defined by: a = 3 an Find: aj 02 a3 3 an-1 -5

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Q: How many numbers between 1 and 100,000 can be divided by 24?

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Q: Write a recursive formula for the number of squares. Think about how many pieces are added in each…

A: Here number of  squares in figure (1)  is  a1 = 2   Number of squares in figure (2) is  a2=3 Number…

Q: Consider the sine function graphed below. ·16-15-14-13/12-11-10-9-8-7-6-3-4-3-2-1 to a) Magnitude of…

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Q: 10. When describing the population of an organism, a group of researchers is considering three…

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Q: 5. Find one value of x that solves the equation by using the inverse sine or cosine function on your…

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Q: -10 10 [7] = 2,0 10 Find the coordinates of in the basis B ; = {ã‚6}.\ Your answer will be an…

A: To Find: Write x as a linear combination of a and b using the help of the given graph.

Q: QUESTION 2 Sum of first four terms of the appropriate Fourier series of f(x) O -2.5464790894703255…

A: The given problem is to find the sum of first four terms of the Fourier series of the given periodic…

Q: Solve the following system of equations two ways: • First solve using elementary row operations (you…

A: Given system of equations ,                        x+y-z=4     2x-y+z=2-3x+y+5z=2 we can rewrite the…

Q: For each function at the given point, (a) find L(x) (b) find the estimated y-value at x=1.2 (c) find…

A: As per the guidelines we are supposed to answer only 3 subparts. Please repost for the remaining…

Q: A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a…

A: A sector of a circular sheet of paper with radius R is cut off, and the edges CA and CB are joined…

Q: Prove that x=0 is a regular singular point of the given differential equation, then find the first 5…

A: Given differential equation 2x2y''-xy'+1+xy=0

Q: Startpoint x0 = 10 Find an approximate solution for x = 20 cos ( x/40 ) by using fixed-point…

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Q: Show Transcribed Text How can I convert this equation for Tv and put on Excel formula? like Tv = ??…

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Q: The pie chart shows the percentage omplete the table. X-small 10% Large 5 A Medium 20% Small

A: We know that 1%=1/100.We will use the given pie chart to solve the problem. Given that T-shirt of…

Q: Use the ordinary interest method to compute the time (in days) for the loan. Round your answer up to…

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Q: A 20-ft-by-30-ft swimming pool is filled with water. The depth is measured at 5-foot intervals,…

A: Total volume is sum of product of area of 5 by 5 foot interval with sum of depths.  Thus, total…

Q: Based on her past experiences, a homeowner estimates that appliances lose 25% of their resale value…

A: Given: An appliance loses 25% of its value each year.To find: The value of an appliance in 8 years…

Q: Show that the points 1,1¹ + i3, and =¹ - iv are the vertices of an equilateral triangle.

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Q: Definition: The Gram matrix of x₁,...,xn ER" is the n x n matrix G where Gij=xi. xj. for i, j =…

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Q: 6. Solve the following system of two linear differential equations. У1 = 5y1 - 2у2 Y2 = 6y1 - 2y2

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Q: 4. A mathematical model for the temperature in City C is given below. T(t): = 38sin((t-103)) + 26,…

A: Given that a mathematical model for the temperature in city C is…

Q: Let A be a 12 x 34 matrix with rank A = 5. True or False? In this case, the left nullspace of A is a…

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Q: Keeler's Fabrication sets aside ​$4900.00 at the beginning of every three months in a fund to…

A: The  quarterly payment  PMT = $ 4900 Payments per year m=4 Number of years t= 9 years Number of…

Q: Convert the given initial value problem into an initial value problem for a system in normal form.…

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: Prove the following: 1. erfc() = 0

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

A: Here given function f(x,y,z)=x2+y2+z2 and constraints are x-y=5 _____(1) and y2-z2=25____(2) By…

Q: Could you please provide another counter example a simpler one thank you!

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Q: 1 an-1 a) Determine whether the sequence is explicit or recursive. The sequence is Select an answer…

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Q: This is a combinatorics math counting problem: Suppose you are trying to create a password for your…

A: As per the question we are given a combinatorics problem, where we are tasked with determining the…

Q: Q3. Solve in terms of Bessel's function, the ODE x²y" + xy' + ((lnx)² + ¹) y = 0 1²)y=0_z=lnx.

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Q: 11. What are all the eigenvectors and eigenvalues of orthogonal projection onto a line L in R3?

A: An orthogonal projection is idempotent. If we have an eigenvector →v with Av→=λv→, Then we have both…

Q: i.) Let A € Mnxn (R). If there exists PE Mnxn (R) such that P-¹AP is upper-triangular, then there…

A: Upper triangular and orthogonal matrix.

Q: Find the center and radius of the circle passing through the points (3, 8), (9, 6) and (13, −2), and…

A: The circle passes through three points (3, 8), (9, 6)  and (13, −2).

Q: Is there a better proof. I am not following this proof. I am requesting a new solution please.

A: We have to prove that if n is an odd integer, than n2≡1 (mod 8).

Q: 9) Differentiate f(x) = 2 cos (x) - 6 sec (x) +3 10) Differentiate Z(v) = _v+tan (v) 1 + csc (v)

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Q: (a) Let xo, ₁,..., n be n+1 distinct points in [a, b], with co= a and cn = b, and f € C+¹[a, b]. Let…

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Q: Do the following operations without a calculator. Be sure to express answers in scientific nc a.…

A: Here, we have to convert given number in scientific notations.

Q: 1. (a) Give an example of a matrix A with rank 3 and nullity 2. Try to give a different example than…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: 1. Answer the questions below for the sine function f(x)=sin(x++)+1 a) The amplitude is b) The…

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Q: The coefficient matrix for a system of linear differential equations of the form y'= Ay has the…

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Q: Sketch a graph of each equation. 15. h(x)=(x-1)³ (x+3)²

A: The given task is to sketch the graph of the function (x-1)3(x+3)2, which means we need to plot the…

Q: Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter…

A: The given system of linear equations is, 4x-2y+3z=-92x+2y+5z=58x-5y-2z=13 The value of x,y, and z…

Q: 5. Prove that r()=√ and hence evaluate a) r(--) b) r(-)

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Q: 3. Which if the following statements is true? Check all that apply. When the log-linear graph of…

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Q: F(t) Find the steady periodic solution Xsp (t) = C cos (@t-a) of the given equation mx" + cx' + kx =…

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Q: 2. Show that each of the following formulas are both satisfiable and falsifiable. (a) y Vxp(x,y).…

A: We want to show that :a) ∃y ∀x px, yb) ∀x px∨qx→∀x px∨∀x qxc) ∀x∃y px, y→∃y qx, yare both…