W: Solve heat eq. du at u (ort) = du (πT₁ t) = 0 ди dx and I. C₁ u(x₁0) = 3 sin (SX) ax² with b-Cs:

Q: (laplace transform) 3u If L (e³t) = ¹, then L( e³u du) is... S-3'

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Q: F(x, y, z) = y²ri + i + (z − 1)² k Let a vector field and S the surface with equation ² = e" + 1 n =…

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Q: 2 f(t) = ½ (4-³)² u(t-3)

A: As per the question we have to find the graph of the Laplace transform of the following function :…

Q: 4-compos dx dy 5-find dry if f(x, y) = xe xe 6- find (x²³/2)

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Q: 4) f(t) = [ Hu(t-IT) Jun (6) fœ

A: Laplace transform of the function

Q: The height y (in feet) of a ball thrown by a child is 1 y 2²+ 6x + 5 16 where is the horizontal…

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Q: (5) Alice and Bob agree to use the prime p = 2663 and the base a = 5 for communications using the…

A: Given  p=2663 , α=5 Let p,α,βAlice be Alice's public key and p,α,βBob be Bob's public key.

Q: Q2 Find the points of intersection of the polar curves r=1+cos and r= -cos

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Q: (d<b₂) v (b. ←d) pue b↔d

A: Using truth tables we show that each of the given propositions are equivalent.

Q: Kim is having a party for 24 people and is serving hot dogs. Each person will eat 2 hot dogs. How…

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Q: Term

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Q: Q 1 Find all points in the first quadrant where r = 2sin(30) and = 1 intersect. r=2sin(30) +

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Q: The particular solution of the differential equation: (x + 2)² d²-(x + 2) dx +y = (b + 1)(b +…

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Q: Problem 14. I a) Lett be a real number and let P (2, -3) be the point on the unit circle that…

A: Properties of trigonometric function  sin-1sinx=xsin-1-x=-sin-1(x)sin(2π-x)=-sinx The polar…

Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: Determine if the integral [Inxdx converges or diverges.

A: An integrals will be divergent if the associated limit either doesn’t exist or is plus or minus…

Q: (x² - 4xy - 2y²2) dx + (y² + 4xy - 2x²) C

A: given ODE x2-4xy-2y2dx+y2+4xy-2x2dy=0

Q: Using Intermediate Value Theorem, check whether f(x) = x³ + 3x-5 contains real root in interval: i)…

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Q: SOLVE THE SOLUTION OF THE FF. y¹ - ³y = f(t-1) + 2u (t-2) 5 60 = 6

A: As wr the question we are given a first order differential equation as : y' - 3y = f(t-1) + 2u(t-2)…

Q: Hand written plzz : Find the Laplace transform F(s) = £{f(t)} of the function ƒ(t) = (8 − t) [U(t −…

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Q: From the table find f(1) using interpolating of Lagrange polynomial -102 Y=f(x) 2 -1 5 1 O -1 O о о…

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Q: L₂V₂ 4+1dx. You need to carefully write out 7. Use the trapezoid rule with n = 60 to approximate the…

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Q: (c) y(0) = -5 10 -10 O (d) y(8) -5. 10 -5 -10 -10 O -10 -5 -5 0 y 0 5 10 10 X X -10) O 10 O 10 5 0…

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Q: 1. Draw the graphs of the following functions, and evaluate the are between the curven over the…

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Q: Q6. The points A(3, 4, 2) and B(3, 7, 2) are on a plane. If the plane also passes through the y axis…

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Q: Q3 Check the symmetry and graph the curve in polar form if 0 = 0 and equal 1/6 to 1/2 at increments…

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Q: 3-if ix-x ≤ CIB_l then we say (r) converges to x with rate convergence and write by x₂ = 1 +8₂

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) =  1…

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Q: Find the Product solutions 1) du du = dx ау

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Q: Suppose that X is the space of all (bounded or unbounded) sequences of complex unmbers and dixXx X →…

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Q: Find the Product solutions of du 2) du 1 dx dy + -

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Q: The paper speed of a given recording machine (say, an EKG) is 25mm/sec. This means that, at every…

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Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

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Q: 6- find the second order partial derivative's of the function: z = x sin sin (x²y)

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Q: 2- find aw dw if w = xy + ду +3/1

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Q: I'm working on some complex analysis, and came across something that says |z|=1 which means z=1, but…

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Q: For the shown function, calculate the location of for the shaded region. Express your answer in…

A: x- is the x coordinate of centroid

Q: 4. Provide the equation that model the following traffic network for the highlighted intersection.…

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Q: Find the Product solutions of 2) du du - I dy dx +

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Q: P6.3 Simplify the following Boolean expression using Boolean algebra laws: (a(a+b))' + ba'

A: Given Boolean expression is aa+b'+ba'. We have to simplify the given Boolean expression using…

Q: 1. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. the equation of…

A: To find the equation of the line that passes through the point A2,2,1 and is perpendicular to the…

Q: Find a least-squares solution of Ax=b by (a) constructing the normal equations for x and (b) solving…

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Q: y(x) Use Euler's method with step size 1 to estimate is the solution of the problem y + 3x²y = x²…

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Q: Evaluate J da ²√²-49) x>7, using a trigonometric substitution.

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Q: b). Using an appropriate triple integral, evaluate the volume of: [V i). ii). z = V1-x² - y² r = sin…

A: please comment if you need any clarification. if you find my answer useful please put thumbs up.…

Q: Consider the solid Q bounded by the surfaces S₁: 2=4-2², S₂: 2y+z=12, S₁: y = r, S₁: 2=0, S5:2=0…

A: Gauss divergence theorem : It states that, "Let S be the closed surface enclosed by volume V and F…

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: What is the optimal solution for the following problem? Maximize P = 3x + 15y subject to 2x + 4y ≤…

A: The given linear programming problem is                     Maximize P = 3x + 15y subject to 2x + 4y…

Q: Perform the indicated operations. 11011two +10011two + 11101 two 11011two +10011 two + 11101 two =…

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Q: 14) Let C: r(t), t € [a, b], be a regular curve in R³, oriented from the point P = r(a), to the…

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