Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

Q: Solve the given initial value problem. y'' +64y=0; y(0)=2, y'(0) = 1 y(t) =

A: Given IVP is  y"+64y=0 .....(1) y(0)=2,y'(0)=1 ......(2)

Q: Solve the following integral step by step senx -dx ex

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Q: The auxiliary equation for the given differential equation has complex roots. Find a general…

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Q: Using Fouriar Series f(t) = Cos X 0<x<T XIX 5₂x

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Q: i. y" + 2y + 10y = t cos(t) + et;

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Q: VIP seating at a local outdoor concert costs $118 per seat. General admission seating costs 43%…

A: Given, VIP seating costs is $118 Also, general admission seating cost is 43% less than VIP seating.

Q: Determine the domain and range, equations for the vertical and horizontal asymptotes x-5 of the…

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: Find the volume generated by revolving the given plane area about the given line, using: I.) Sketch…

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Q: 5. The area bounded by the graphs of y= 2x + 3 and y = x² revolves about the x-axis. Determine the…

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Q: retend that so

A: Consider a system of linear equations with three equations and three unknowns. The system can have…

Q: Solve the equation: 22-3(2) +2=0 [K-2] Show that the function h(x)= (-) x+x is an odd function

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Q: Keren must work at least 18 hours a week to supplement her income while attending school. She has…

A: Given: It is given that Mike must work at least 8 hours a week.  In store 1, he can work between 5…

Q: Evaluate (5+2) d dx Select the correct response: 11 16 ¹¹+x+x+C x + 4x + C 3 16 -x +C 11 + 1 11 + 4x…

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Q: The general equation of a parabola is (x-h)^2 = 4p (y-k), where h and k is the coordinate of a.…

A: A parabola is a very significant conic section. When a point moves in such a way that at any…

Q: 3. Solve the equation for x a) 45-4x = 1 86-2x b) log2 (2x+4)= 4 c) enx = 11

A: in each part we need to solve the equation for x

Q: c) 3x-2 x³ (x²+4)

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Q: a) 1 (x-1)(x+2)(x+4)

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Q: Construct the Lagrange interpolating polynomial for the following data set 0.1 0 0.2 0.4 X f(x) 0.74…

A: We have to solve given problems:

Q: Assume that is a continuous real function on (a, b) such that √(x + 1) = 1 / 0 (0) + = 10 (19) Q(x)…

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Q: Determine whether each set equipped with the given operations is a vector space. For those that are…

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Q: Juan Pablo runs a factory that makes Blu-ray players. Each T50 takes 6 ounces of plastic and 4…

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Q: If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim sin nx dx = 0. n∞ JA

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Q: Q₁. Find the vertex connectivity K(G), edge connectivity K'(G) and minimum degree 8(G) of the graph…

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Q: extrema and points of inflection. Use this information to sketch the graph of f. 20. The graphs of a…

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Q: A pair of shoes you want to purchase is on clearance for 60% off the original ticket price of $180.…

A: The original price of shoes is $180 The shoes are on clearance of 60%  therefore the price of shoes…

Q: Solve the following system : - x'₁ (t) = −x₁ (t) + 2x2 (t) + 2x3 (t) − 2 x', (t) = 2x₁ (t) + 2x2 (t)…

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Q: Find the Laplace transform Y(s) of the solution y(t) of the initial value problem y"+4y'+20y=f(t),…

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Q: solve 4 only

A: We draw a given complete bipartite graphs.

Q: 21. Find the area bounded by the curve r4cos20. A. 8 sq.unita c. 4 sq.unita B. 2 aq.units D. 6…

A: Given: The curve, r2=4cos2θ.   To find: The area bounded by the given curve.

Q: Question 5 Mrs. Parkes borrowed $6000 from her f month. [Hint: Lesson 2.2] Select all the…

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Q: How can differential calculus be applied in optimizing shape design for fluid flow?  Does…

A: To determine: How differential calculus can be applied in optimizing shape design for fluid flow. To…

Q: 5) (a) Show that F = (8-14xy2 + 2ye²x) + (e²x - 14x²y) y is conservative. (b) Find a potential…

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Q: To complete the original question asked... how would the check for both x-coordinate and…

A: given graph f(x)=3x2-12x+1

Q: 2. Find the minimal and maximal element of the given Hasse diagram. Consider the subsets {b,c} {g,…

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Q: Determine a closed form expression for Enxh n>0

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Q: Q1: Expand in a sine-Fourier series: f(x)=x,0 < x < 1.

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Q: Let R be the set of all real numbers. Determine every function g: R→ R such that for all real…

A: We need to find all functions g : ℝ→ℝ that satisfies g(a2+ b+g(b))=2b+(g(a))2.

Q: 3. If x is uncountable, then prove that A = {ECX: ECX: algebra O X: E is countable or E² is…

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Q: 1. Find the derivative of the following 9x²-4x+9 a)y = 2(x²-3)²√√3x-1

A: We know that the derivative of a function fx is the rate of change of that function with respect to…

Q: Please use the formula Speed = distance ÷ time as instructed

A: use the formula Speed = distance ÷ time as instructed .

Q: 3. A laboratory assistant wants to make 10 liters of 40% acid solution. If solutions of 50% and 25%…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 33. Find the surface area of the portion of the curve x²+y²4 from x₁=0 to x-2 when it is revolved…

A: The surface area of a sphere: A is calculated using the formula: A=4πr2, where r is the radius of…

Q: 2. Let the production function be as follow: q(L,K) = 10.7 K0.3 Also assume w=2 and r=4 a. Find out…

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Q: b. Describe an algorithm that runs in O(n + m) time that given a task T, outputs the minimum…

A: Given: The objective is to describe an algorithm that runs in O(+) time that given a task T ,…

Q: The gradient of the function 2x1 + x2 - 3 evaluated in x = (0 0 0)¹ is: OA. Vf= (1 2 3)T OB. Vf=(0 0…

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Q: Suppose (2)= 1, and suppose f and g are positive measurable Prove that functions on such that fg ≥…

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Q: Use the given covariance matrix to compute the percentage of the total variance that is contained in…

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Q: Solve the given initial value problem. y' +8y' + 20y=0; y(0) = 4, y'(0) = -15 y(t) =

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Q: OLX23, tro Utt = 25 Uxx u (0₁ t) = u(3, 4)_0 u(x,0) = + SM Ti X, Ut (x₁0) = 10sin 2 TTX solve the…

A: From the given information we have.

Q: 2- 8. Express the given function using unit step functions and compute its Laplace transform Attempt…

A: Please see the attachment