1.Sketch the graph of the following conic: 5x^2+9y^2-18y-36=0 Then determine the focal point and eccentricity!

Q: Let a : D → R° be the parametric surface defined by D = {(u, v) E R² | u E [0, 1], v E [0, 1]} and a...

A: Solution:-

Q: (d) 1 is an element of {3,2, 1, 4}. (e) {1} is an element of {3,2, 1, 4}. (f) {1} is a proper subset...

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Q: Consider the equation below. f(x) = 6 sin(x) + 6 cos(x), 0 sxs 2n Exercise (a) Find the interval on ...

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Q: Let a E R[x] with ao # 0. Prove that a has a multiplicative inverse in R[x]: You may assume that the...

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Q: Let S2 = {a = (a1,a2,a3) E R3 | a1a2 + 2a3 = 0} If y = (y1.y2.y3) E S2 and z = (z1,Z2,z3) E S2, is y...

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Q: (x – x² – y²)dx + (y + x² + y²)dy = 0

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Q: (x+1)y"-(2-x)y'+y=D0

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Q: Q2:Find the inverse Laplace transform o using convolution F(s) = 1 2 s -3s

A: Convolution Theorem: If L-1P(s)=p(t) and L-1G(s)=g(t)Then,L-1P(s)·G(s)=∫0tp(u)·g(t-u)duWe have been ...

Q: In Cartesian coordinates, a vector field takcs the form F = 2rzi+ 2yzj+(r² + y?) k throughout the wh...

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Q: Does the following series converge or diverge? n° Σ n=1 O The series diverges. The series converges.

A: ∑n=1∞an=∑n=1∞nn8n2 Theorem: let ∑n=1∞an,be the series L=limn→∞an1n then, If L<1 the series is abs...

Q: . a) For spring-mass model a" + 4x' + x = part and the steady periodic part of the solution, and fin...

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Q: (3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narro...

A: Given:The width of the bottom rung is 49 inchesThe width of the top rung is 19 inches.Also, each run...

Q: -) Given Xn+1 = X +2X + 3Xn, shown below (also shown is Xn+1 = X„), and X5 = 0.1, %3D %3D %3D what i...

A: Ki

Q: Set S = { 2, 3, 6, 7} The matrix representation of relation R is shown below: 2 3 6 7 2 0 0 0 1 3 01...

A: Given the set S={2,3,6,7}.

Q: (s4) 4 (s) - sp [ (s 1)° (-2s) - (L-s³) a (s'+ 1) (2 s) -Rs - ?S - †S + +s3 (s+ 1)3 %3D F(S) Hence, ...

A: We need to find Laplace Transform of , f(t)  = t2 cos(t) Since we know ,  F(s) = Lf(t) F(s) = Lt2 co...

Q: 1. Explain why (b x c) must be a linear comnbination of b and c. a X

A: We will use properties of cross product of two vectors 

Q: Which of the following integrals finds the volume of the object obtained from revolving the region b...

A: Disk method : volume bounded by the curves

Q: computing the inte- using the trapezoid of equal length bet

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Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/22^2 + y^2/10^2 = 1. The rect...

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Q: Reproduce the given computer-generated direction field. Then sketch an approximate solution curve th...

A: Remark: We know that, the direction field (slope field) of a first-order differential equation is th...

Q: Siven X (z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2 +13z-3 O 1 O 0.5 -1 O 1.5

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Q: A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbo- hydrates. A quarte...

A: let she required to drink  x glasses of of skim milk , y quarter pound of lean red meat and z two sl...

Q: Let х 0<x<2, f (x) = [4-x 2<x<4 a) Consider the odd periodic extension of period T=8, of f(x). Sketc...

A: Given function is fx=x0&lt;x≤24-x2&lt;x&lt;4 (a). Given that f is an odd periodic function of period...

Q: Use the formula to compute In(1.11) correct to five decimal places. In(1 – x) = - x" n = 1 In(1.11) ...

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Q: #3. Let n be an wi'th nzl and let b, bz ba be integer posikive real numbers, not all egual, such tha...

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 5n 6n + 3 n...

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Q: 7-17 The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use...

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Q: L-1 (s+a)2+ω2. s+a

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Q: Use the Maclaurin series for sin(x) to compute 3 sin(3º) correct to five decimal places. 3 sin(3°) =...

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Q: 6. How far is the centroid of the area bounded by the curves y = e^x, y = e^-x, and x = 1 measured f...

A: the centroid of the area bounded by the curves

Q: Solve the given differential equation by undetermined coefficients. y"- 6y' + 9y = 6x + 5

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Q: How far is the centroid of the area bounded by the curves y = e^x, y = e^-x, and x = 1 measured from...

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Q: Let G be the simple graph on the set V(G) = {p € N : p is prime, p = 1 mod 4, and p < 100} where uv ...

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Q: try also solve this by Variation of Parameters method! Solve the following initial value problem: y"...

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Q: (7) Given the following pieces information, describe the set of solutions x such that Ax = b: (a) b ...

A: We shall solve first question only as you have asked more than one unrelated questions • for others ...

Q: Q1. Use 4 steps of fixed point iteration and approximate the root of the following function: f (x) =...

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Q: Do not use a calculator for this problem. Find the x-value where the maximum value of = sin x 6x occ...

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Q: Using Laplace Transform, solve the following initial value problem Зу' - 4y — sin 2t У) --

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Q: (iv) What price should the company charge to maximize revenue? (v) What price should the company cha...

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Q: For a given vector a E R" and scalar A > 0, show that the following problem 1 minx, ||x – all +A ||x...

A: Given: A vector a∈ℝn and a scalar λ&gt;0   To show: The problem minx12x-a22+λx2 has the optimal solu...

Q: BESSL'S FUNCTION CONSIDER (2. THE CASE V= x*y" +xy! +(x² -v²) y - 0- IN THE PORM = 0.

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Q: Q1. Use 4 steps of fixed point iteration and approximate the root of the following function: .3 f(x)...

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Q: dx y- + 6x = 3ya dy 1 1 (x – x²C)³ (y – y²C)³ Option 1 Option 2 1 1 y = (y + y?C)* (x+ x?C)³ Option ...

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Q: a sin a + In v ) da + tan adv = 0 COs a (In v)(sin a) = v cos a- sin a + C In v = a cot a- 1+C(Arc s...

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Q: please assist with question 1 (i) and (ii) (i)2 x-6= 1/8 (ii) log 5 (x+3)= 1- log 5(x-1)

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Q: Determine the graph of the equation. x² +y? - z? = 16 Choose the correct graph of the equation. O A....

A: 3D. Graphing r

Q: 2. Use projections or transposes to determine the least squares quadratic that best fits the points ...

A: Curve fitting: quadratic equation

Q: 1. Create set E following each step: a. What's your Emplid? Sort the digits of your Emplid. Let set ...

A: We solve first Que only as per company guidelines. For others kindly post again by mentioning

Q: f (x, y) of a smooth real-valued function f defined on a bounded Consider the graph z subset D of R²...

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