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Q: Q3. Find the Fourier series for the function: ƒ(x)=[x² for -1<x<1]
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A: First order sequence
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Q: use the accompanying tables of Laplace transforms and properties of Laplace transform to find the…
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Q: ind the Laplace transform of the periodic function f(t) = 50=[²₁ 1 for 0<t<2 for 2<t<4
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Q: a). Sketch the slope field of the differential equation. (x - y); within the Interval -3 ≤ x ≤ 3 -3…
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Q: Find the integral surface passing through the curve T: z= x³, y = 0 of the partial differential…
A: We have given a partial differential equation , xy∂z∂x - 2x4∂z∂y-4yz = 4x8yey2 We need to find…
Q: What is the slope of f(x)=x/7-4
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Q: Find Hand S for H = c₂(x)+₁(x) (x) d dx S={feC [a,b] | f(a)=0}.
A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…
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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT For what range of positive values of x is Σ 1/(1+x″) a)…
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Q: 4) If f(x) = [√9+ x²] then f(R) =_
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Q: Let X={x=(x1, x2, X3, X4) : Xi E {1,2,3,4,5,6,7,8,9,10,11,12} for i=1,2,3,4 such that x1 < x2 < X3 <…
A: Given: X=x=x1, x2, x3, x4 :xi∈1,2,3,4,5,6,7,8,9,10,11,12for i=1,2,3,4 such that x1<x2<x3<x4…
Q: (d) Suppose y is a least squares solution to Cx = d (for some matrix C and vector d). Show that d-Cy…
A: Introduction: Least square approximation is a method to approximate a system of equations, mostly…
Q: X y 1 2 621 683 3 4 822 861 Use exponential regression to find an exponential function that best…
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Q: Compute the area of the region D bounded by in the first quadrant of the xy-plane. (a) Graph the…
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Q: C using the Separation of variable method solve the differential equation 2xy + 6x + (x² - 4) y'=
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Q: ABCO с D E F A 39 17 B 39 с D E F 17 23 31 40 25 4 20 1 7 35 18 32 25 23 4 31 20 7 15 40 1 35 18 32…
A: Given are the weights of edges in a graph in the form of a table. To Find: The minimum cost…
Q: (4) When the dividend 2x³+x²-3x-6 is divided by the divisor (x + 1), the quotient is 2x² -x-2 and…
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Q: Use Newton's method to approximate a root of the equation x³ + x + 2 = 0 as follows. Let x₁ = 1 be…
A: Sol
Q: Solve the following operation a4-b4 between a3+a2b+ab2+b3=
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Q: η Prove Σ η i=1 3 = n(n+1) 4 2
A: Introduction: When we prove a statement that is valid for any subset of the set of natural numbers,…
Q: ²-6m+9=0 3m 3m +9 = 0 (m-3)-3(m-3)=0 (m-3) (m-3)=0 m-3 = 0 m = 3 m-3 = 0 3 = 3
A: For the given quadratic equation m2-6m+9=0 m=3,3
Q: You earn $33 in 8 hours.at that rate,how much would you earn in 5 hour’s
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Q: 22. A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface…
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A: Hint: Formula for finding n-th approximate solution of IVP dydx=f(x,y), y(x0)=y0 is…
Q: (c) Prove by induction that 3n5n² for all n € N with n ≥ 4. State clearly where you use the…
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Q: The Second Proposition of Pappus states that the volume of any solid of revolution is equal to the…
A: Given: The equation which represents the circular area is x2+y2-10x-10y+46=0. The circular area is…
Q: There are 49 fair coins in a bag and one double headed one. You take one coin out of the bag at…
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Q: -plane. Use cylindrical coordinates to evaluate the triple integral ///√x² + y²dV, where E is the…
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Q: Q1: Mention the required steps to get the following: a) Merge the first file (A) with the second…
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Q: Use the superposition principle to generate a graph of each function. i) y = f(x) + g(x) ii) y =…
A: To use superposition principle to generate graph of each function.
Q: 4. Solve the following equation by backward Euler's method and also trapezoidal method: 1 1+t² y'…
A: Introduction: There are many iteration tools that are used to solve an initial value problem…
Q: crocodile choose the same location, the chance of the crocodile catching the zebra is 90%. If they…
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Q: Question 7: Consider the statement form (PIQ) IR Now, find a restricted statement form logically…
A: Given- Consider the statement form P ↓ Q ↓ R To find- Find a restricted statement form logically…
Q: b) Use Algorithm 2.24 to solve the system of linear equations (90-0 1 10 = 3 1 1 1 10 6
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Q: 4. Determine all points on the surface x² + 2y² + 3z² + 2xy + 2yz = 1 in which the tangent plane of…
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Q: Question: What does the following quantity represent? S²(1 – r²) A: The proportion of the variation…
A: Given: Quantity : Sy2(1-r2)To find: What does the above quantity represent?
Q: Solve step by step in digital format a) Expand (1+x) In(1+x) in Maclaurin series. find the limits…
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Q: Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check…
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Q: Let be two vectors, such that a=(3î+2j-2k) cm and b=(2î+2ƒ+k) cm, calculate: (A) C²=3(a¹·b¹)…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Determine the values of the a1, a2 & a3 coefficients that will cause (1 + a₁x + a₂x² + a3x³) ln(1+x)…
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Q: There are 100 people in a room, all born in the same year in the same 30 day month. What is the…
A: Given that: Number of people in the room = 100 Number of days in the month = 30
Q: Calculate the volume generated by the circle x^2 + y^2 -4x=-3 that revolves around ox
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