The slope of the tangent line to a curve at any point is (5x² - y) ex+y If the curve passes thru (0,1), use Runge Kutta method of order and h = 0.1 to find y(0.2).

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Q: function Q1: For, 0< |z| < 1, evaluate the following integral where g is analytic g(5) g({) inside…

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Q: ence; state the int you conclude abc

A: We use ratio test.

Q: 3. Evaluate III 6: 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

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Q: QUADRATIC RELATIONS PART1 Equation y = (x + 7)²-4 y=(x-10)² + 100 y = (x-4)² + 15 y = (x + 2)² + 64…

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Q: Activity fre Cu dece Activity A wof work analysis |<<e B E F GEF C₂D 1

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Q: L/s and pipe diameter of 0 ssure at point B must be a D

A: Given, Q = 90 L/s or 0.09 m3/s D = 0.30 m

Q: 1. Given the function f(x,y) = xexy², find fx and fy.

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x)= |x-1| In its domain. a.…

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Q: 33. Find the regions where sinx Sx. ( E :

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Q: 8. Solve the linear system Ax-b by x₁ + x₂-3x₂ = -1 -x₁ + 2x₂ = 1 x₁ - x₂ + x₂ = 2 a) finding the…

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Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(§) inside and…

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Q: As shown in the required reading or videos let {an} and {bn} be convergent sequences such that lim…

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Q: 1) The PERT method to solve? a) Game theory b) transportation model 2) To find the saddle point in…

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

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Q: xy" + 2y + xy = 0 find two linear independent solutions by using Maclaurin series

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Q: x= y2-5 x-intercept     (x, y) = y-intercept (x,y)=          (smaller y-value) y-intercept (x,y)=…

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Q: unded by x + 2y + 4z = 8 in the fir I

A: The graph for the given integral as,

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Q: 7. Sara wants to show that (a × b) × c = a × b × c). Yasmina says that it is impossible and comes up…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x) =…

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Q: Find the simple interest earned on 5,000 deposited 40% for 10 years.

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a.…

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Q: The derivative of f(x,y) at P. (1, 2) in the direction of its is 2√2 and in the direction of the #…

A: The given problem is to find the directional derivative of the function f at point (1,2) in the…

Q: 2. Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, 2² + y² = 4. CCC

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Q: Evaluate the integral. dx 2 (a² + x²)3/21 a>

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Q: Short Answer 7. Give a characteristic that the two functions f(x)=x and g(x) = 2' have in common.

A: To find- Give a characteristic that the two functions fx = x and gx = 2x have in common.

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A: Using the concept of limit, solution of the given problem is below...

Q: eff62² dV where G is bounded by ax +2y + 4z = 8 in the first octant. 3. Evaluate

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Q: Solve the initial value problem ut +2ux = -tu(x, t), t> 0, x ER u(z,0) =sinx.

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Q: by r+ 2y + 4z = 8 in the first

A: Given as, ∫∫∫G6z2dV

Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: Find the flux F(x,y,z)=2xi+2yj+zk across the part of the paraboloid z=4-x^2-y^2 above the xy-plane…

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Q: ZD=0.73 USD C kiwifruit in US d the act arc onr

A: Given as, 1 kg = 2.20462 lb 1 NZD = 0.73 USD

Q: 3. Prove that So 0 1 x + ex -dx = n=1 (−1)n−1(n − 1)! nn

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Q: in game theory? b) maxmin minmax esented by ? C

A: To find the correct option as,