Find 2 / 9-4x² 2 9-4x² dx. dx =

Q: 11. Determine the solution of Utt = u (x,0) = 0, u (0, t) = h, where h, k, and A are constants. c²ur…

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Q: 1.047 4Q. Using De Movier's Theorem find all roots of √√25 el

A: The given problem is to find the roots of the given complex expression using De Movier's theroem.

Q: Draw position vector OP = (-2,-4,3) on the axis below.

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Q: 2. Given matrix A = find sin(At). -8 -5 has eigenvalues of 2, 2₂-3.Using Caley-Hamilton theorem, 5 2…

A: Consider the given matrix, A=-8-552 since, it is given that the eigen values of λ1,λ2=-3 so, it…

Q: b)* Describe the set {TER²: doo (1, (0, 0)) = 1}.

A: We have to describe the given set x∈ℝ2 : d∞x, 0, 0 = 1.

Q: Q4/ A/If x² (y - 4z) - y²(2x + 3z) + z²(3x − 4y) = xyz Find Zx

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Q: 2. Find the general solution for equation y" - 2y" - 3y + 10y = 0

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Q: The boundary value problem y" + y + y = x, y' (1) = 1, y(2) = 2 is solved using central differences…

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Q: max Z = 3x₁ + 2x₂ -X₁ + X₂ ≤4 3x₁ + 2x₂ ≤ 125 X₁ X₂ ≤3 X₁, X₂ ≥ 0

A: The given problem is to solve the linear programming problem over the within given constraints.  We…

Q: In each of Problems 13 through 20, find the solution of the given initial value problem. 13. y' y =…

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Q: his series converges and that the magn agnitude of the first neglected term. calculate In 2 to 10…

A: Here,      ln (2) = 1-12+13-14+..................               = Sn +En where, Sn =…

Q: x(n)= ansin (won) u(n)

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Q: Draw a direction field for the given differential equation. How do solutions appear to behave as…

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Q: Solve the following equation d² y dt² 2 + 2y = 3e sin t

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Q: 37. A helicopter at point T is 200 meters above the sea MN. If the angles of depression of boat Mis…

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Q: Determine the dimension of the span of each set. 6 12 A = span -({8·3·0)) 2 1 4 20 10 40 5 (E)·8·8))…

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Q: 1. Show that a frination fiłamb ]->1R is differentiable at xolamb) is and only if its lower and…

A: Solution:f:[a,b]→ℝ is differentiable at x0(a,b)Let us take upper derivative at x0+then…

Q: Find the solution of the linear recurrence relation given by Xn=4Xn-1 + 12xn-2 with x1= 18 and x2 =…

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Q: Solve the given differential equation. All solutions should be found. x - 4y dy dx X NOTE: Use c for…

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Q: Let F: R² R2 be the conservative vector field defined by F(x, y) = (exy. -ey) and lety: RR be a…

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Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

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Q: 6. A bacteria is known to double every 20 minutes. How long will it take 5mg of bacteria to grow to…

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Q: 4. Solve the following Binomial problems: a) Find the expansion of (a + b)² b) What is the…

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Q: 1. Consider L{y(t)} = Y(s). By solving the equation ty"(t) + 2ty(t)=0 con y(0) = 0 you have to: A)…

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Q: task 2a) solve the integral S. S dydx r(1+y²) by switching the integration order, characters are…

A: Given integral  ∫02∫0x 1x1+y2dydx Hence the limits  are  y=x ,y=0 x=0,x=2 So the region is bounded…

Q: 5. Given a piecewise function 4, f(t): = { 1, 0≤t 2. Express f(t) in the form of unit step function.…

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Q: y=-3log10 (x-1) + 2 Parent Function y = log10x (x, y) VA Domain Range State the transformations…

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Q: Solve the given initial value problem. O x³y²y³ = -18 Oxy² - xy³ = 36 Oxy² + x³ = -18 O x³y² + x³ =…

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Q: Find the Laplace transform of the given function; a and b are real constants. f(t) = eat ‘sinh(bt)…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Iterations 08800 I1 12 I 3 14 15 is inside the In I1, а одиале Octagon. If we consider Il as 1…

A: Let a, ar, ar2, ar3, ⋯, arn-1 be a finite geometric progression. The sum of the geometric series is…

Q: 2-¹ {881 (0 -₁)} = athert sen(8t), (8-8)²+64, What's the value of a*c?

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Q: f892d342a 1f892d3/a 892d34a ddfe2d34 234 18926428 202260 18941

A: given transformation lets look at the definition of the given options

Q: If A = i - 2j-2k, B = 6i +3j + 2k, find A.B if 0 = 70 7.182 4.897 12.5 O 5.12

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Q: A quarter weighs about 6 grams. A dime weighs about 2 grams. What is the difference in weight…

A: It is known that 1 dollar=4 quarters and 1 dollar=10 dimes.

Q: 2 15. ty' + 4y = t² − t+1, y(1) = ½¼/1, t>0

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Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

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Q: Q4: Using Newton Raphson Method determine the root of sin(x) - x/5= 0, answer the following assuming…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations an to…

Q: 1.2. In the process of calculating L-¹ given by: -2.L -2s +3 we get an equivalent expression 10s 7 ^…

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Q: The inverse laplace transform of Select one: True O False S s4 +4 is sintsinh (t)

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Q: 1. Show that a frination f: Tamb]-> R differentiable at xolamb) is and only if are it's lower and…

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Q: (x, y) = x + sin(y²x) 2y y #0 y = 0

A: Given function f(x,y) =x+siny2x2y,  y≠0x,                      y=0 fx0,0=limh→0 f(h,0)-f(0,0)h…

Q: 1-f²₁ ¹/²(y² sinx dx dy) 2-√²-dxx2 0 3- f(cscx cotx)² 2 4- f₁² x (x − 3)dx for 5-S²₂ (x³ + √x) dx

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Q: = 6. Consider the convolution f(t) 29* unit step or Heaviside. So, when calculating 29e-13s+a con a…

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Q: 7. Given three point A(1, 1, 3), B(-14, 4, 21) and C(-4, 2, 9), a) use a vector method to show that…

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Q: A thermometer reading 75° F is placed in an oven preheated to a constant temperature. Through a…

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Q: - Let the vector field, F = x³ i+y³ j+z³k. Verify Gauss's Theorem for surfaces S to be closed…

A: As per the question we are given a vector field F = x3i + y3j + z3k And a closed cylindrical surface…

Q: Let a = : 3432, and b = 332. Find x, y € Z such that xa+yb = gcd(a, b). To get full marks you must…

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Q: (b) Find the Inverse Laplace transform of the function. G (s) s-7 s² + s-6 =

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Q: given data. Ro

A: Let the equation of regression line by least-squares method is y = a + bx Where y is dependent…