32. Write the rule for the following arithmetic sequence. -15,-24,-33,-42, ... A. a = -9n-6 B. an 9n-6 C. a = -9n+6 D. an = 9n + 6

Q: ntegers, fractions, multiples

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Q: Let vector field H = (-yz, xz, z²) and let C be the cylinder defined by x² + y² = 4 for 0 ≤z ≤ 3-…

A: We will use divergence theorem

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Q: 10. Find the equation of a line with a slope of -3, passing through (2,-5). y=mx+b m= (x, y) = ( D

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Q: Find the Inverse Laplace Transforms of the following. 4 1) | S-3

A: We will use laplace transformation table to find inverse laplace transformation

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Given differential equation used to 2nd order linear homogeneous differential equation with constant…

Q: Find the solution to the following linear programming problem using the simplex method Max…

A: MAX (Z) = 4x1 + 3x2 + 2x3 subject to :     3x1 + 2x2 + 5x3 ≤ 23         2x1 + x2 + x3 ≤ 8…

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Q: QUESTION 1 Show that W = {(a,0, b) a, b = R} is a subspace of R³.

A: Result : R3 is a vector space over the field R . Theorem : A non empty subset of a vector space V…

Q: . In any projective plane, there are at least 4 points not lying on a given line.

A: False.  Correct Statement is: In any projective plane there at least 3 points lying on a given line.…

Q: = Solve the recurrence relation an an = an−1+2″ with að = 3.

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Q: Obtain approximate value of y at x=1.5 for the differential equation: y'-2y+3ex, y(0)-1, using Runge…

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Q: Solve the following equations y" - 4y + 4y = 8x² + 4x y" - 2y - 3y = sin 2x

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Q: P 7 ❤ ww 4 AB ī ( 7 GI -6 7 9 -10 -7 N -11 EXAMPLE: If the answer is 12, there are several possible…

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Q: 20) See the diagram' to the right. Find the missing side. а. 553 в. лот с. 355 d.8 ? W aft 6

A: The given problem is find the missing side length for the given triangle figure by using Pythagoras…

Q: (a) Suppose M is a set and d, d' are two different metrics on M. Prove that d and d' generate the…

A: Please find answer below:

Q: (51) Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we…

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Q: Given that λ = 1 is a twice-repeated eigenvalue of the matrix 2 1 -1 A = -1 0 1 -1 -1 2 how many…

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Q: Define the function, period, then determine the Fourier Series of the periodic functions below:…

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Q: Suppose that B=(2, 2, 1) and makes 30⁰ with A and AB=6. What is the magnitude of A?

A: Vectors are the mathematical quantity which obeys the set of axioms. In general, vectors are…

Q: 1. Find the Inverse Laplace Transforms of the following. 2) 3s s²-4 2

A: Let L(f(x);s)=F(s)=3ss2-4 is the Laplace Transform of function f(x). We have to find the inverse…

Q: 21) See the diagram. Solve for x. a.852 b.8 c.452 d.52 X

A: We are given the diagram of a right angle triangle with hypotenuse 8 and each sides as x. To find…

Q: I. Evaluate each determinant. -5 -3 -4 3

A: The determinant of given matrix -5-33-4 is  -5-33-4 =(-5 x-4)-(-3 x 3)=20+9=29

Q: 10. Prove that w|+|2|="2² VWZ+ W+z +√WZ

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Q: An account bearing interest at 6 percent compounded quarterly was established 15 years ago. The…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Problem 3. Integrate the equation below using Four-Point Gauss Quadrature between limits = 0 to x =…

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Q: (n + 1)(n − 2). Use this fact to The sequence (an)n>1 starts -1,0, 2, 5, 9, 14... and has closed…

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Q: elatively prime integers that are NO

A: 11. Since a, b are not relatively prime, which means they have common factor let b=ka for some…

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A: problem is solved using concept of power method.

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Q: Problem show that the Force F. (Y²Z²_6X2² ) ( + 2x4²²) 22 +(3xy 2² - 6x³2) Kis Conservative, hence…

A: Where C is arbitrary constant. Which is the required potential function.

Q: 701 Discuss the convergence of the given sequence: a(n) = sin- 2

A: Given sequence a(n)=<an>=sinnπ2.The subsequence <a2n>=sin2nπ2=sinnπ→0,…

Q: 1. Which pairs of integers have a GCD of 16 and LCM of 576? a. 32 and 288 b. 48 and 192 c. 80 and 96…

A: 1)  We need to find which pairs of integers have a GCD of 16 and LCM of 576. We know that , the…

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Q: QNO#2 PART#A Use Stokes' Theorem to find the circulation of F= (ry, yz, 2) around the boundary of…

A: Solution :

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A: compare and contrast the fundamental theorem of calculus and the fundamental theorem of line…

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Q: Sketch the solid whose volume is given by the following integral and evaluate the integral. S/2/4…

A: Note : φ= constant  , represents a cone  and ρ= constant  , represents a sphere .

Q: x3 - 3x²y = c =

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Q: 5. Proving (Learning Packet #1) Given: LVLOE Prove: LOVE R is the midpoint of LV and OE. L R E V

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A: Find the inverse Laplace transform of 3s+1s3-s2+s-1. Rewrite the denominator:…

Q: = e-t et + 2e²t e2t-3et - е

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Q: The wave equation W 0 = 10%

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Q: Find a line that intersects the line that passes through both lines make? and contains R. What angle…

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Q: 3. Consider the probability density function of a continuous random variable X f(x) = { − ³x + 1≤x≤4…

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Q: Use technology (Excel or another spreadsheet program, a graphing calculator, etc.) to evaluate…

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Q: 2. Suppose that z is a function of a and y, and F(x2 - y2, xy - 2², yz - 2²) = 0. Calculate and…

A: Solution :