Find the future value for a $85,000 investment for 15 years at a compounded continuously at 5%.

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Q: An arrow is shot from the ground into the air at an initial speed of vo = 108 ft/s. (a) Use the…

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Q: 9. Define a relation R on {-2,-1,0, 1, 2, 3, 4, 5, 6, 7} by a R b if and only if 3a+b is a multiple…

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Q: Instruction: Apply six decimal place rounding to calculations where applicable. An arrow is shot…

A: Introduction: The formula of Newton's Raphson method is given by, xn+1=xn-f(xn)f'(xn) Where f(x) is…

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A: Given,         dxdt=-211-2x+-21.

Q: Which of the following graphs have Euler circuits? U A Has Euler circuit G J B. Has Euler circuit.

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

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Q: approximate the value of cos (1/2) (sixth degree Maclaurin polynomial)

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Q: Find bases for the column space of A and the null space of AT for the given exercise. Verify that…

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Q: Integrate f(x, y, z) = 4xz over the region in the first octant (x, y, z ≥ 0) above the parabolic…

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Q: In a group of 17 people, how long will it take each person to shake hands with each of the other…

A: Given that the group has 17 people  For hand shaking it required 2 person at a time  Therefore total…

Q: 13(b) Define real numbers an for all n E N by a recurrence relation as follows: ao = 1 and √4an-1+5…

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Q: Design a rectangular milk carton box of width w, length I, and height h which holds 494 cm³ of milk.…

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Q: Let m, n be odd integers. Prove that m +n is even. Remember: An integer b is odd iff 3k. (kE ZA 2k +…

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Q: -10 Figure 2 -5 A B B. A' y Is -5 D с D' C₁ + 5 10 x

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Q: How do I prove that 4 divides 32n-1+1 with induction? (n is natural numbers)

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Q: Use the Fourie expansion to explain why the note pro ne note produced by a violin string rises…

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Q: Find the mass of the solid bounded by the xy-plane, yz- plane, xz-plane, and the plane (x/4) + (y/3)…

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Q: What are the coordinates of the vertex of the graph or table? Is it a maximum or minimum? -8 0 0 0 0…

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Q: Use spherical coordinates to evaluate the triple integral e¯(x²+y²+z²) x² + y² + z² SIS E Answer: =…

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Q: 2. Breaking Lagrange (#differentiation, #computationaltools) Consider the prob- lem of maximizing…

A: (a) Consider the give function, fx,y=3x+4y It is subject to constraint x+y=7. It is required to find…

Q: displacement variable el-90°, e2-90° and e3-90°. ar-20m, a: -20m, as-20m. Note: find the position…

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Q: Find and classify all critical points of the function. If there are more blanks than critical…

A: Introduction: Let us suppose that a function is f(x,y) and it partial derivatives are fx, fy, fxx,…

Q: 3. Find the general solution to y′′−4y′+ 4y= xe2x using the method of undetermined coefficients.

A: The given problem is to find the solution for the given differential equation by using the method of…

Q: If G(x) is the generating function of the sequence defined by ak = 4ak-1 for then G(x) = 1 +…

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Q: wice the base of the triangle. If the perimeter of the e of each side of the triangle. of a square…

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Q: 4. {(2,2), (4,4), (3,2), (5,7), (1,4)} 5. {(1,2), (3,4), (5,6), (7,8), (9,10)}

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Q: (a) an=4+3an-1, 40 = 6 (b) an=2an-1 +3an-2, 40 = 4, a₁ = 9

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Q: Show that the sequence (sn) W 2n² +1 ECO

A: Introduction: A sequence Sn is a convergence to a point a, when, limn→∞sn=a that is the limit n tens…

Q: (a) Use the formula h = -16t² + vot to determine how long it will take the arrow to reach its…

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Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

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Q: Define a relation R on N by m R n if and only if m #n. Explain why 8. this relation is or isn't…

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Q: An arrow is shot from the ground into the air at an initial speed of v0=108ft/s. Usetheformula…

A: Given information ht =-16 t2 +v0 t Here, v0 =108  ft/s  and  t1 =4,   t2 =6. So, Function is ht =-16…

Q: Find the absolute minimum and absolute maximum of the function f(z,y)=zy - 3y - 9z+27 on the region…

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Q: 150 135 120° 105° 90° 180° 165* 240 225 210 .592 .042 75° .582 60° .00€ 45° 315* 30° 330⁰ 15° 8=0°…

A: Given a function rθ=4cos2θ on the interval 0 , 2π in polar coordinate. To determine: How many times…

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Q: 3 23 ez Find the general solution to y" - 12y' + 36y: = y(x) = y(x) + C1y1 (x) + C₂y2(a) with yp =…

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Q: 1. Prove that the derivative of tan(x) is sec²(x) directly from the definition of the derivative.…

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Q: Given that f(x) = - 1 4x² Evaluate the 2022nd derivative of f(x) at x = 0.

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Q: A person is depositing money into a bank account continuously at the rate of $5,000 per year, and…

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Q: Use Bernoulli's inequality to prove that n + √)" = 1+ > √n for all n EN.

A: From Bernoulli inequality we know that  if x>-1 then : 1+xn≥1+nx for n≤0 or n≥1. Therefore for…

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Q: Find the volume between the cone x = √y² + z² and the sphere x² + y² + z² = 4. volume -

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Q: Sketch the graph of the solution set to the following system of inequalities. y>x-5 y<-x-2 Use the…

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Q: How many solutions does the equation ₁ + x₂ + x3 + 4 = 18 have, such that ₁, 2 and 3 are positive…

A: Given x1+x2+x3+x4=18 such that x1,x2and x3 are positive integers and x4=3 solution:- x1+x2+x3+x4=18…

Q: Find the general solution of: y" - 3y - 4y = 4x² No conditions are given.

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Q: 3. Consider a category N having only one object, let's call it *, and with one arrow n: ** for every…

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