Find the first five terms of the following seque a₁ = -4, an= 5an-1 + dins el abusaxe juri

Q: 4. y' (7x² - 1)/(7 + 5y) =

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Q: Compute the first four partial sums S1,   , S4 for the series having nth term an starting with n =…

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Q: Assume a function such that Y = (2x410)/(6x² + 5x). Obtain the first derivative. O f'(X) = (8x³ -…

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Q: Find a set of parametric equations for the curve of intersection of the cylinder (x − 1)² + ¹/² = 4…

A: We need to obtain a set of parametric equations for the curve of intersections of the cylinders:…

Q: ACTURE QUISION, IS DESCRIBED BY THE EQUATION y = COSH x WHERE X e Y ARE HORIZONTAL AND VERTICAL…

A: (i)  y=cosh(104/60)=  2.9181

Q: 5. The chart below demonstrates the growth of an investment fund over 50 years. Answer the following…

A: This Chart represents Compound interest.

Q: What is the greatest common divisor of 24 and 44? n If n is a natural number such that gcd(800, n) =…

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" − (2a −…

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Q: Solve the given system of diff-equ by using Laplace Transformations // 2₁²" + 10x₁ - 422 // 42₁ +2₂²…

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Q: Find a basis for the a.) column space and b.)null space for the matrix A below. Then provide the…

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Q: y' = {] -35 -4 5 у

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Q: 1. Let A = a. 1 1 -3 -5 V -8 and b= 3 4 -7 9 4 V V Solve Ax=b by hand and write your solution in…

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Q: Idaho Investment CO. borrows $11,100 from a bank at 3.9% compounded quarterly for 6 years and 3…

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Q: Solve the initial value problem y" + 4y - 32y = 0, y(0) = a, y'(0) = -80. Find a so that the…

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Q: Use reduction to triangular form to evaluate the determinant of the given matrix. 1 A = 3 16 24 0-1…

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Q: 2. Sketch both parametric curves below. Then determine if they intersect. I they intersect, find the…

A: Introduction: All forms of curves that may be represented on a plane can be described by parametric…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Let S be an oriented surface in R³ with a piecewise smooth closed boundary C whose orientation is…

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Q: Use Stoke's Theorem to evaluate · F · dĩ where F = (xz, xy, 3xz) where C is the boundary of the…

A: Using the Stoke's theorem we have to evaluate  ∮F.→dr→ where F→=xz,xy,3xz=xzi+xyj+3xzk such that the…

Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2 2eycosy+2 = C…

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Q: hi can you solve question in pen or pencil and explain so i can understand thanks

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Q: Question 20 Indicate if the following statement is TRUE or FALSE. Briefly justify your response with…

A: I have given the answer in the next step. Hope you understand that

Q: is lim x = inf (xn) as x, y. What Express answer and = 3n lim sup (xn) where Xn = [(-1)³ ]+2?

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Q: Question 9 Indicate if the following statement is TRUE or FALSE. Briefly justify your response with…

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Q: The figure on the right shows the intersections of four one-way streets. Complete parts (a) through…

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Q: Solve the given differential equation. All solutions should be found. x5 - 4y X dy dx NOTE: Use c…

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Q: 0 -3 9 -4 4-18 004 a) the characteristic equation

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $5…

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Q: a) Explain what it means, by definition, that a polynomial m(r) € P(R) is the minimal poly- nomial…

A: Given That : minimal polynomial for a matrix A∈ Mn×n(R) We have to explain  that the polynomial…

Q: A computer costs five times as much as a printer. a. write an expression to show the cost of the…

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Q: For an NxN-dimensional matrix A, prove that a) the product of the eigenvalues is equal to the…

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Q: a) Diagonalize the matrix in the form A = SAS-¹, with S a matrix containing the (normalized)…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-part problem.…

Q: Let f (x, y, z) = g (√x² − 4y² + 2²) √√x² +16y² + 2², - where 9 is some nonnegative function of one…

A: As given, f(x,y,z) = g(x2-4y2+z2) x2+16y2+z2R→(u,v) = 1+4v2cosu, v, 1+4v2sinu

Q: At which point does f(x)=2sinx-cos the maximum value over the interval [0.2 * pi]? 2x have an…

A: f(x)=2sin(x)-cos2(x) f'(x)=2cos(x)+2sin2(x) Now to find the critical number, f'(x)=0

Q: Alexus would like to accumulate $154,600 for her retirement in 25 years. If her local bank promises…

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Q: Let f(x, y, z) = 9 (√√x² − 4y² + z x² + 16y² + 2², where 9 is some nonnegative function of one…

A: Given, f(x,y,z) = g(x2-4y2+z2)x2+16y2+z2 R→(u,v) = 1+4v2cosu, v, 1+4v2sinu   we have to find the…

Q: Sketch the curve r=0 in polar coordinates for: i. (0 <=0) ii. (-∞0 <0<∞ )

A: In a polar coordinate system, a point is represented with coordinates (r,θ). The radial coordinate r…

Q: Solve the initial value problem y" + 4y' — 12y = 0, y(0) = a, y'(0) = 60. Find a so that the…

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Q: A manufacturer produces both widgets and gadgets. Widgets generate a profit of $75 each and gadgets…

A: Given data into tabular form. Raw material A&amp;B for each widgets 8 units of A 1 unit of B…

Q: Let T: R³ → R³ be a linear transformation such that T(1, 0, 0) = (4, −1, 2), T(0, 1, 0) = (1, 3,…

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Q: Find the value of b for which the differential equation (ye¹0xy + x) dx + (bxe¹0xy) dy = 0 is exact,…

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Q: Give a proof of the following statement. Suppose A, B and C are sets, f is a surjective function…

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Q: You want to make monthly payments of $440, but you don't want a car loan over your head for more…

A: Let the loan amount is P. it is given that monthly payment M is 440. the interest rate is 0.015…

Q: Find the minimum and maximum squared distance between the sphere x² + y² + z² = 9 and the point…

A: We have to find the minimum and maximum squared distances between the sphere x2+y2+z2=9 and the…

Q: Determine the determinant and inverse of the matrix. A = 3 8 -1 8-1 -4 5 -7 -7 -4

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Q: Consider the symmetric matrix ГО A = 2 L2 202 220 a) Diagonalize the matrix A in the form A = SAST,…

A: Solution :-

Q: . Consider the partial differential equation u₁(x, t) = KUxx(x, t) + au(x, t), where a is a…

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Q: Suppose x, y, z E N and A C N. 1. Write down the negation of the following statement. Either x and y…

A: Let us solve the following problem in the next step.

Q: ||r′(t) × r"(t)|| ||r'(t)||³ r(t) = 5 cos(7t)i + 5 sin(7t)j + 4tk Use the formula (t) = to find (t).

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Q: Let f (x, y, z) = g (√x² − 4y² + z2²) √√x² +16y² + 2², where g is some nonnegative function of one…

A: We have to find the mass of a curved lamina from the given information.