The value of S enixl x√1+enixl dx equals :

Q: problem Find Y(s), the Laplace transform of the solution y(t) to the given initial value y" + 3y +…

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Q: 12' 191 15 10'

A: We have to find perimeter using given data. Perimeter is the length of the outline of any two…

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Q: A lamina occupies a triangular region D in the xy-plane. D is enclosed by the lines x = 0, y = x,…

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Q: Evaluate the Cauchy principal value of the given improper integral. 172-192 9x² (x2 + 2x + 2)(x2 +…

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Q: The Leslie matrix below describes a female cheetah population with four age groups consisting of…

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Q: Solve: y""-9y" +24y+34y = 0 y(0) = 4, y'(0) = -1, y'(0) = -56 y(t) =

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Q: Given the surface $x^3+axyz+z^3=1$ then for what value of 'a' is the surface a smooth submanifold of…

A: Gradient Of the Function: Let F(x,y,z)=x3+axyz+z3 The Gradient Of F is given by,…

Q: The differential equation can be written in differential form: where M(x, y): = y+2y7 = (y² + 6x) y'…

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Q: 11 11 "" Shown above is a slope field for the differential equation = y²(4- y²). If y = g(x) is the…

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Q: A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 3,…

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Q: Evaluate π 13 1 + cos x $10/10 de 13 dx. 2 0 1 + cos x 2 dx = 0 (Simplify your answer. Type an exact…

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Q: A fair coin is tossed 9 times. (A) What is the probability of tossing a tail on the 9th toss, given…

A: We have to find   A)Probability of tossing a tail on 9th toss given that the preceding 8 tosses were…

Q: 12-11-10 -9 8 4 Lig ← m Fa S in 9 10 11 12 Give the equation for the function whose graph appears…

A: To find the equation of the graph given above .

Q: (i) Use Trapezoidal Approximation to estimate mum error of 10-³. -3x dx with a maxi- -3x (ii) Find…

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Q: Find an orthogonal basis for the column space of the matrix to the right. *** An orthogonal basis…

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Q: find for me all points where G is preserving orientation?

A: Sol:-To determine where G is preserving orientation, we need to calculate the Jacobian matrix of G…

Q: Consider the matrixB = 3 3 3 3 the Null(B) geometrically? 1 0 0 0 0 2 0 1 00002 00000 0 0 00 0…

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Q: 1. Fully factor f(x) = 4x²³-7x-3 given that (2x+1) is a factor of thal

A: Given that the function fx=4x3-7x-3 Given that 2x+1 is a factor of fx  .

Q: let D be a 2x3 matrix being = [ -2 6 4]                                                 [-1 3 h]…

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Q: Consider the vector field F and the curve C below. F(x, y) = (5 + 4xy²)i + 4x²yj, C is the arc of…

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Q: he Cobb-Douglas production function for a particular product is N(x,y)=40x^0.6 y^0.4, where x is the…

A: Let us take the number of units of labor as x and capital as y.  We have our production function…

Q: Determine the inverse Laplace transform of the function below. 65+24 2 S+6s+13

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Q: Part d, write the full series in summation notation

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Q: Let r(t) = (sin(5t), cos(5t), sin(5t) cos(10t)). Find the point where r(t) intersects the xy-plane…

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Q: Evaluate the limit using continuity. (Use symbolic notation and fractions where needed.) lim In (x -…

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Q: Determine the total material cost to install a 55% nylon carpet in a room that is 23 feet wide by 41…

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Q: Consider the given vector field. F(x, y, z) = (ex, exy, exyz) (a) Find the curl of the vector field.…

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Q: Using the priority list T7, T6 T4 T2, T5, T₁, T3, schedule the project below with two processors. T1…

A: Note: I've provided the answer in Handwritten format Priority list - T7,T6,T4,T2,T5,T1,T3

Q: Determine whether the following series converges, and if so find its sum. +∞o 1 (1) Σ 9k² + 3k-2 k=1…

A: The given series, i) ∑k=1∞19k2+3k-2 ii) ∑n=1∞lnk+2k+1 To determine whether the series converges or…

Q: Q1. In which order are the vertices of the following ordered rooted tree visited using a) Preorder…

A: (a) Preorder traversal First goes to the root node, then the left sub-tree, and then the right.

Q: Consider the linear system ² - [ 8 - 1] = = x. 6 Find the eigenvalues and eigenvectors for the…

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Q: Given the second order initial value problem y" - 4y = 168(t-1), y(0) = 4, y'(0) = 12 Let Y(s)…

A: L{ eat } = 1/(s-a) . L { tn } = (n!)/sn+1 . if n is positive integer  L{ delta(t-a)}= e-as . L{…

Q: Question 3 Consider the function f(x) = (a + bx)2/3, (a) Find the third-order Taylor polynomial of…

A: The given function is fx=a+bx23, where a=8, b=3 . (a) The Taylor polynomial of the function 1+x23 is…

Q: = (a) Example: Show that the set of vectors; v₁ (6, 2, 3)), v₂ = (0,5,-3) and V3 = (0, 0, 7)…

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Q: Check that series is convergent or divergent

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Q: y = 2 cos (3x-)-4, for 0 ≤ x ≤ 2π a) Draw one cycle of the graph of the above function. mplitude:…

A: If the equation is of the form y= a cos(bx-c)+D,  then  Amplitude is |a| Period is (2pi)/|b|  Phase…

Q: A pink-flowering plant is of genotype RW. If two such plants are crossed, we obtain a red plant (RR)…

A: Given: The table representing the genotype crossings along with their probabilities- xi Pxi 0…

Q: Calculate the curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the…

A: The given problem is to find the curl of the given vector field and also to find the flux of curl of…

Q: True or false: If n is a positive integer with d(n) = 6, then the only possible prime power…

A: n is a positive integer with dn=6.

Q: Consider the series Σ an where an = e n=1 lim an n→ ∞ 6n Find lim an. Enter DNE if the limit does…

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Q: For F = V(x(sin y)e²), use Stoke's Theorem to find the circulation of F around the circle of radius…

A: The given function is F=∇xsinyez. To Find: Circulation of F around the circle of radius 2 using…

Q: Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On…

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Q: Find the minimum value of N such that the remainder RN when using the Nth partial sum to 50…

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Q: What is true for the DDS given below? In 9-n-1-6--1 = 3-n-1-5-n-1 Yn This is a non-linear DDS of…

A: The linear discrete dynamical system is of the form  X(n)=AX(n-1) , where  A is constant…

Q: Problem 4. Webster City monitors the height of the water in its cylindrical water tank with an…

A: Tank is cylindrical with a radius of 20 feet. Therefore,  the area of the base of the tank is…

Q: Find the area of the surface cut out from the bottom of the paraboloid z = x² + y² by the plane z =…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. √ (5y +…

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Q: 10. Find the perimeter of the region below. 150% 5 150° 2 2.2 150° O A. 32 units B. 45.3 units O C.…

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Q: 5. Solve the system of equations. If the system has no solution, say that it is inconsistent. x-y- z…

A: Given that: The system of equations is, x-y-z=2-x+2y-3z=-54x-y-16z=-1. Argumented matrix in the form…