If L{f (t)} = F(s) evaluate F(1) in f(t) = te-2t sint cos t.

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Q: Determine the degree of the differential equation 1/2 +1 = 0 3/2 Y2 -y1 A. 6 В. 3 С. 2 D. 4

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Q: 5. Let o1, 02, 03 be the Pauli spin matrices (? 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the…

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Q: Use an appropriate substitution to integrate 2. A sin u +c 12r'sin (x?– 2) +c © 12sin (x2- 2) +c…

A: To evaluate the given integral.

Q: Show that the determinant gives a group homomorphism det: GL(n,R)->R*, where R*=R-{0} under…

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Q: Find the length of side a. B 5/3 30° A 2

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Q: 2. Evaluate the following integrals (a) / 20° 2x + 3х — 2 dx (b) /: 3x2 + Vx dx (c) / t (Vi – 3t) dt

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Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D

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Q: For f(x) = x Apply the bisection method and calculate b2 (right endpoint after 2 iterations) 2 and…

A: Introduction: The intermediate value theorem is a continuous function theorem. In mathematics, the…

Q: -2 Find C, where matrix C = [3/2 -1/2

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Q: The limit 1 log n y = lim [1 + n00 n = 0.57721 56649 01532 86060 65120... is called Euler's constant…

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: dy y cos x+sin y +y Solve the following 1. dx 0. %D sin x+x cos y+x differntail equation

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Q: a tan Vy? + x² = z*e®%. Solve for az az and

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Q: Determine whether the function f : R → R given by f (x) = 4x + 6 is a bijective function.

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Q: Q2/ In field work, vertical angles was measured from station A to stations B.C, as show in table…

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Q: 2) A particle is moving along the curve whose equation is 1+ Assume that the x-coordinate is…

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Q: Solve each nonhomogeneous 2 3 1. 3 2

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Q: 4. Use a suitable numerical method to estimate , xln(x)dx, using h = 0.4. Use 4 decimal places in…

A: Here we will use right Riemann sum to estimate the integral  Given a function f(x) that is…

Q: 1. Six line integrals in no particular order. (a) Evaluate fF dĩ where: F(r, y, 2) = (y²z", 2ryz",…

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Q: 1. Assign the maximum amount to this cell that is allowable based on the supply and demand…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: 3. Let f(x) = x(x² + 1)/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx…

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Q: Find the general solution to the equation xdx + -dy= 3dy O x=/2y+ Cy-2 O xy= 2y + C O y = 2x3 + C…

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Q: (b) A system which is represented by the given equation below, is able to work effectively even when…

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Q: Find the approximation of the area under the curve using 4 trapezoids. Use the function y = x2 - 4x…

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Q: Find the solution to the following system of differential equations: -5 -4] x'(t) x(t), x(0) 3 You…

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Q: 2 csc x 1+ cos x 1- cos x

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A: Evaluation of the triple integral

Q: 7. xdx + ydd = (x² + y²)dx 8. (2x2 + y)dx + (x²y-x)dy = 0 %3D %3D

A: We  will solve these two by the method of inspection of integrating factor

Q: Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow…

A: We will find out the eigenvalues and associated eigenvectors of the coefficient matrix of each…

Q: ifwas T!R3-R² Lineartdentifier T(X gy,Z) =(X +2Y +2g0) grand father ☺ KerT ☺ ImI

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Q: Suppose we ALREADY KNOW that this field is conservative in Octant I: (2, y, :) = (2, In (2) +, In…

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Q: I. Show that the function f defined by (x, y) = (0,0) %3D f(r, y) = (x, y) # (0,0) x+y is not…

A: The given function is: f(x,y)=1              (x,y)=(0,0)x2+yx+y     (x,y)≠(0,0) To prove: this…

Q: A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of…

A: The correct option is B . See the explanation in the attachment below...

Q: Find the local maximums, local minimums, and saddle points of the function f(x, y) = 2e4y-x²-y-. You…

A: critical point ( maximum ,minimum or saddle point ) of a function occur accordingly           fx (…

Q: Problem (i) Consider the normalized vector v in R3 and the permutation matrix P, respectively 0 1 0…

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Q: Check whether the solution is balanced or not. Then, use the Northwest Corner Rule to find the…

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Q: Consider the Z transform below. Determine all possible sequences that lead to this transform,…

A: Given,X(z)=z51z2-a2(z-b)(z-c)(z-2c)a=20,b=15 and c=4 To find:  Possible sequence points on the basis…

Q: if was T:R Linearidentifir grand father O KerT ImF

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Q: Two pair misread values. A computer while calculating he correlatiop coefficient.between two…

A: Corrected value ∑x = 125-6-8+8+6 = 125    Corrected value ∑y = 100−14−6+12+8 =100   Corrected value…

Q: faow that the function f depthed by (X .Y) = (1, - 1) f(XrY) = %3D x2 + 냉 (x, y) $ (1,-1) * ty is…

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Q: The area bounded by y=3Vx and 2y= 3x is revolved about the x-axis. Using cylindrical shell method,…

A: Using cylindrical shell method.

Q: e3x + 5e* (с) lim x→0 7e3x – Te™

A: We have to evaluate the given limit.

Q: QUESTION 2 Consider the binomial 3x- 2x Match the coefficients with the corresponding powers of x А.…

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Q: 1. Matrix A is best known as 100 A = 010 0 01 Select one: O a. Lower Triangular Matrix O b. Diagonal…

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Q: 3 Find x such that the matrix B = is -2 -3 equal to its own inverse. а. 4 с. 9 b. 6 d. 10

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Q: Let C be the curve represented by the equations 5t, y = t, (0 < t< 1). In each part, evaluate the…

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: Area of region bounded by curves y=f(x) and y=g(x) . If f form upper boundary and g form lower…