1. Calculate the time in years for $2,000 to accumulate to $3,000 at a. 6% simple interest (12) b. 6% interest compounded monthly (i.e. (¹²) = 0.06) c. A force of interest of 6%.

Q: Determine whether the function is even, odd, or neither. Justify your answer. ✓✓ f(x) = x² + 3x² - 7…

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Q: 20. Find the splitting field for x^2-2sqrt(2)x+3 over Q(sqrt(2)). Find the roots first then…

A: To Find: Splitting field of x2-22x+3=0 over ℚ2.

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A: Given integral is ,             ∫01sin(x2) dx Estimate the given integral by using , (a).…

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A: Consider the following initial- value problem mx''(t)+cx'(t)+kx(t)=f(t), x(0)=0, x'(0)=0, Use the…

Q: If then A-1 - # 用 A = 1 5 -4 -9 0 0 1 4 -2 0 0 1 0 3 1 , 田

A: By Gauss-Jordan elimination: Let A=IA…

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Q: Calculate the derivative of the function. g(x) = (x²-3x - 1)-8 g'(x) =

A: Given: Function, gx=x2-3x-1-8To find: The derivative, g'x of given function.

Q: Use Simpson's rule with n = 6 to estimate the curved surface area when the parabol y = 2x² on the…

A: Given: The equation of parabola is: y=2x2. To Do: Using Simpson's rule with n=6 on the interval 0, 3…

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Q: 1. ( and A = (a) (b) s) Consider the system of differential equations x' = Ax with the coefficient…

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Q: 4. Using the Simplex Method, solve: Maximize 5x1+x2 3x12x2 ≤ 6 subject to -401 + 2x2 ≤4 x1, x2 ≥ 0…

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Q: 1. Using LU Factorization, Find the inverse of the Matrix Below. Find the Condition number…

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Q: Use the (exponential) polar form of the complex numbers in the. nematic. Cheeky (i-√3)³ 1-i √2 i-1…

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Q: solve the ff. using elimination Numerical Methods 3x-2y+2=5 x+y-2z=7 2x-y-3z=-z

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Q: A force field (in newtons) is defined by F(x, y) = [ + + x, 1 x² +1 y³ зав where coordinates x and y…

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Q: Why is L’Hospital’s rule useful for finding the limits? Can it be used in every situation? Please…

A: Given Data: Why is L’Hospital’s rule useful for finding the limits.

Q: Find all units and zero divisors in Z(18)

A: Sol:- The ring Z(18) consists of all residue classes modulo 18. In other words, Z(18) is the set {0,…

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Q: (a) Find the eigenvalues and elgenfunctions of the given boundary-value problem. (Give your answers…

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Q: Consider the parametric curve a = - a Cartesian equation of the curve. Equation: (sin(t)) and y=-…

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Q: Compute the matrix of partial derivatives of the following function. f(x, y) = (ex, sin(xy)) Df(x,…

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Q: For all XER, consider the matix Ax given by O 0 x fl O Ad O O 0 x + 1 O 0 0 a. Determine the…

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Q: Using adjoint method, Solve for the Inverse of: [-10 5 12 6 -8 4 3 7 12]

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Q: Problem 2: (a) Is the equation below Linear? If it is, rewrite it in the normal (canonical) form. dy…

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Q: Find the total number of compounding periods and the interest rate per period for the investment.…

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Q: An open box is made from a square piece of cardboard 30 inches on a side by cutting identical…

A: Given: An open box was created from a square piece of cardboard by cutting identical squares from…

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Q: Suppose that you are in the garden supply business. Naturally, one of the things that you sell is…

A: Given that v=266163, p=51111, b=51314. We need to find the linear transformation T:ℝ3→ℝ3 that takes…

Q: Find the partial derivatives W = Əw Әх Əw ду х2 +y2 х2 - уг = II - 4xy2 (x² - y²)² 2 2 4xy2 (x²-₁²)²…

A: The given function is w=x2+y2x2-y2. We have to find the partial derivatives ∂w∂x, ∂w∂y.

Q: Find the equation of the tangent plane to f(x, y) = x² - 2xy + 5y2 having slope 2 in the positive x…

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Q: N(t), T(H), at, and aN

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Q: 13. Dan working alone can paint the outside of his house in 36 hours. Mary working alone can paint…

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Q: 1. Find the absolute maximum and minimum values of f on the set D. (a) f(x,y) = x + y - xy, D is the…

A: 1) a)

Q: (a) Find the tangent line approximation to cos x at x = 1 4 NOTE: Enter exact values, or round each…

A: The tangent line approximation to the given function f(x)= cos x at any point x=a is given by L(x)=…

Q: Task 5 (D1) Prove the following using de Moivre’s Theorem. Cos(3x) = cos3(x)-3cos(x) sin2 (x)

A: Sol:- We start with de Moivre's Theorem, which states that: (cos(x) + i sin(x))n = cos(nx) + i…

Q: 1. Expand the following expressions: a. TC(q)-2TR(q)-FC(q) b. 5q-(3-29)3 c. 1-In(e²/9-x)2

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Q: Determine whether the following mathematical systems are groups or not. If it's a group, explain why…

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Q: 1 Evaluate the integral [[2te2²) + (2e¯4¹1) j+ (6) k]dt. i+ 0 [[[2te²¹²)i + (2e-4¹) j + (6) k]dt =…

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Q: 12. On Fridays Jerry stops at Steak & Taco Shack before he goes home. This week his order was 1…

A: We will formulate three equations from the given information and will solve them to get the required…

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Q: 3. a. Use Microsoft Excel or otherwise to draw the graph for each of the following functions to…

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Q: -2 3. Using Simpson's Rule, find the value of £2₂, 3x dx using 4 intervals. Find the true value…

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Q: V. Determine which of the following are Bernoulli's equation and, if so, find the general solution.…

A: This question is about ordinary differential equation.

Q: 6. Show that (~pVq) ^ (p^ (p^q)) is logically equivalent to p^q.

A: Given:~p∨q∧p∧p∧q and p∧q. To Show: ~p∨q∧p∧p∧q and p∧q are logically equivalent.