Determine a, b, c and d so that the curve y = ax³ + bx² + cx+d₂ pass through (-1, -1) and have at (1, 3) an inflection point with inflectional tangent 4x - y = 1.

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Q: Si Units of the quantity Si Units of the quantity a are kg e are kg m³ s² -2 SI Units of the…

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Q: Given mappings a: A→B, B: BC, and y: C→ D. (c) Prove associativity for these mappings, and then show…

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Q: x=J_y=K z=L Suppose G(J, K,L)= • Then show: Gis conservative; find a potential function for G. By…

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Q: A partial differential equation has A. one independent variable B. two or more independent variables…

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Q: c) u' - 6u = 6 d)-1 Q10) The singular point (s) of (x + 1) y' + x²y = 0, is (are): c) 0 b) 0,-1 a)…

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Q: - Obtain a numerical solution of the differential equation = y - 2x in dx the rang 1.0(0.2) 2.0,…

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Q: Example: Test the following { In ( n + 1/2 ) M=1 Series Converges or not

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Q: 9. Show that is a two-dimensional vector Ai = -x2 X1

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Q: Determine the fraction of callers who wait between 0 and 15 minutes. 01 e 15 100% 15 1-e 4≈ 98% 15…

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Q: Question 3 You want to create a cylinder having a diameter of 14 units with a hole in it with a 4…

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Q: 17. (15pts) Let relation G be a subset of the cross product of the natural numbers with the natural…

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Q: Consider the following differential equation. dy =y6/7 dx Let f(x, y) = y6/7. Find the derivative of…

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Q: Compute the following integrals using Residue Theorem. 52 - 2 a. b. dz 232-27 4² dz Soz (z − 2)4 dz,…

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Q: r+∞ dx Determine if the improper integral e x ln x is convergent or divergent.

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Q: Determine the curl and divergence of F(XYZ) = xye* ^-x³yze²^ + + xy²e¹ k

A: To find- Determine the curl and divergence of Fx, y, z = xyex i^ - x3yzez j^ + xy2ey k^.

Q: Express the quadratic form as v Av, where A is a symmetric matrix. x² + 3y² + 5z² - 4xy+3yz + 10xz

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Q: = Consider the solid formed by the points outside the hyperboloid z²+y²-2² 8 and inside the cylinder…

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Q: Suppose that you borrow $12,000 for five years at 8% toward the purchase of a car. Use PMT= interest…

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Q: 3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux…

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Q: Problem 15. Determine which of the following sets are subspaces of R³ ? V 1.4r, 52,-27 z arbitrary…

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Q: Use Newton's method to approximate all the intersection points of the following pair of curves. Some…

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Q: dy +x+ = t dt dy +2--v=0

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Q: Find the spectral decomposition of the matrix 可

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Q: For each part below, consider the area enclosed between the curves y = 2+1, from 1 = 0 to x = 3/1/2…

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Q: Write the equation of each quadratic relation in vertex form. a. -6 b. NA- -6 6 2 2

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Q: Find the flux of the vector field F = [x,y,z] through the oriented surface S: z= x^2 + y^2, z <= 1…

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Q: 2. Prove that F = {a+b√√3 | a,b ≤ R} is a field. Be sure to give a clear justification for each…

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Q: III. Consider the parabola C: 2-4 = -(x - 2)² on the xzz-plane. 1. Find the center-radius form of…

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Q: Use the concept that y = c, -∞ < x < ∞, is a constant function if and only if y'= 0 to determine…

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Q: . Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and points A…

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Q: The Theorem of Pappus states that when a plane region is revolved about a line which does not…

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Q: 1. DETAILS 00 Which of the following function has the Macularin series (-1)"4"x²n n=0 1 1 A. B. 4-x²…

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Q: is harmo Q4) Find the result of the following: Find z for Inz = 1-in? 1. 2. I (7/2) =? (Gamma…

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Q: x= J y= K z=L Look for flux of G (J,K,L) = across surfase Z: K(a, b) = where (a, b) = [0, 1] × [0,…

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Q: PROBLEM NO. 8 GIVEN: f(x) = 2x³ - 2x² +10x² - 2 = 0 Using NEWTON'S METHOD, determine new estimate…

A: Given- fx = 2x5 - 2x4 + 10x2 - 2 = 0  To find- Using NEWTON'S METHOD, determine a new estimate after…