Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x4 − 2x3 + 6x2 − 2; P(2) P(2) = Then find the value by performing long division and finding the remainder.

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Q: COS Problem 2. Consider J (2). Using the f 0. approximate 6 given function at o by making use of the…

A: This is a problem of Taylor and Maclaurin Series.

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A: a=7

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Q: ) Find the general solution (4x + 2y +3)dx + (6x + 3y- 2)=

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Q: Find the volume V generated by rotated the

A: 32.  Given the curve                           f(x)=3xln3  over 1, 3

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Q: 10. True or False: If A, BE M, are: nonsingular matrices, then A-+B- is nonsingnlar. (a) True (b)…

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Q: 2. Solve the following differential equations with the given initial conditions (10) dzy(t) + 4- dt…

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Q: Solve the differential equation Integrating Factor by Inspection: xdx + ydy = (x² + y²)dx

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Q: Evaluate the double integral. | 5xy dA; R R is the region in the first quadrant enclosed by y = Vx,y…

A: Evaluation of the double integral over the region

Q: Question 13 Select all of the following that are equivalent to > (2) +> (3k + 1)? k=0 k=0 n+1 A. O…

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Q: Integrate f(x.y) = x - 7y over the curve C: x +y? = 64 in the first quadrant from (0.8) to (/32.32).…

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Q: Given the following matrix, 1 3 -3 B = -3 7 -3 -6 6 The characteristic polynomial is? O 13 – 6X2 +9A…

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Q: (vi) If A is a 2 x 5 matrix and B is an 5 x 2 matrix then AB+ BA is... (a) a 2 x 2 matrix (b) a 5 x…

A: We have to find AB+BA when A is a 2×5 matrix and B is a 5×2 matrix.

Q: B = [(1, 0, 1)T, (1, 2, −1)T, (1, 1, 1)T] is an ordered basis for 3, and C = [(1, 2)T, (2, 5)T] is…

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Q: Find two nonzero matrices A and B such that AB= 0

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Q: Use Stokes' theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

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Q: Use partial fraction to solve the following problems: 5. Inverse laplace of (2s^2+5s-4)/(s^3+s^2-2s)

A: Inverse Laplace transferom using partial fractions

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Q: Find the unique root of the function 2x3 – 5x2 + 3x – 1 = 0 in the interval [1,2] using Newton's…

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Q: Use a Maclaurin series derived in class to obtain the Maclaurin series for the given function. (a)…

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Q: Solve the IVP: X' = AX, where --() 3 1 0 2 -1 0 0 A = 3 and X(0) = -1 2

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A: Given that the plane y+z=9 intersect the cylinder x2+y2=25 in an ellipse.

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A: Let , ones digit = z         Tens digit = y          Hundreds digit = x Then number is 100x+10y+z…

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A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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A: The fourth order Runge-Kutta (RK-4) method uses the formulas below to perform the iterations and to…

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Q: For the next three questions, consider what integer values of a, b and c would satisfy the following…

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Q: Find div F and curl F if F(x, y, z) = 15y^z*i – 11a°2°j – 5xy°k. - div F= curl F=

A: Here the given function is F(x, y, z)=15y4z4i^-11x6z6j^-5xy3k^ We have to find div F and curl F.

Q: 9. x(t) = (t? + 4)e2t – e- cos t %3D

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Q: Use partial fraction to solve the following problems: 4. Inverse laplace of (5s-2)/(s^4+s^3-2s^2)

A: We will find the inverse Laplace of 5s-2s4+s3-2s2 using partial fraction

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A: Given that a nominal interest rate of 514% compounded quarterly. We have to find the effective rate…

Q: Perform the multiplication. 2 -5 2 -4 0 - 3 -5 -5

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Q: transforms of the given s-domai 5)e^-5t + (5/56)e^2t - 127/1000 5)e^5t + (5/56)e^-2t - 127/100C

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Q: Question 5 What must a be equal to such that the following equation is true? 1 a log10(3) log3 (100)…

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