Compute the length of the arc of the curve, C2 from x = 1 to x = 3
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Compute the length of the arc of the curve, C2 from x = 1 to x = 3
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- Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.Evaluate ff xy dA, a region in the first quad- rant bounded by the coordinate axes and the graphs of x²+y² = 16 and (x−1)² + y² = 1Q5.4 Let Lcg) (^) 4y) =an you? (x) where the be the following: (n-1) nth + + an-ly Aos Air order Suppose you know 9 2x I 4(y) Ly) = sẻ cosxxẻ xe an linear 2x 2x that: Ly()] = 3 xe when when L[Y₂ (x)] = 7e²x sinxe L[y₂ (x)] = 6e ²x cos x when 2x our e (x) (*) + constants Consider differential equation Find a particular solution be a symbolic function of x any decimals. contain any (x) + a₂ y(x) ал 9, (х) = 6 же ча в 4₂(x) = 14e²x cos x уг 2x 22 93 (x) = 54e²x Cos x + 108€ ²³" sinxe to (*). Your answer should and must not
- A natural cubic spline is defined by a, (x- 1)' +b, (x - 1)² +c, (x – 1) + d, f(x) =• if 02. Sketch the curve y = x³ 3x² in the region -2 5x 55. Find raph. .Sketch the graph y = mon!! x² (2-x). Find the local maximum, minimum and points of inflection.Determine the NATURAL cubic spline S(x) that interpolates the data f (1) = 1, f (2) = 1, and f (3) = 0.3) Find the absolute maximum and absolute minimum values of 2X² + 3y² - 4x - 5 on the region X² + y² S 25.5. Find the area of a parallelogram bounded by the y-axis, the line x = 3, the line f (x) = 1 + 2x, and the line parallel to f (x) passing through (2, 7).Consider the graph of the cubicy = x(x - a)(x - b), where 0 < a < b. Verify that the graphbounds a region above the x-axis, for 0 < x < a, and bounds aregion below the x-axis, for a < x < b. What is the relationshipbetween a and b if the areas of these two regions are equal?Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4), then find the area of the finite region bounded by this curve and x-axis.The area bounded by the parabola y = 4ax, x- 1, x = 2 is given by axis and the ordinates x = %3D Select one: a. 를Va(V2-1) | b. Va(v2 + 1) c. 극a(2v2+ 1) d. None of the mentioned e. Va(2v2 – 1) 4When finding the maximum and minimum values of the function z = xy - 2y - 2x on the region bounded by the triangle with vertices (2,0), (1,6), and (4,4), one only has to check the values of the function at six points: the three vertices, two other boundary points, and one interior point. Let the values of the function at those points be z₁, Z2, Z3, Z4, Z5, and z6. Let the maximum of the function z on the triangle be M and the minimum be m. Then the value of cos z₁ + cos z2 + cos z3 + cos Z4 + cos z5 + cos z6 + sin m + sin M is (A) 0.0104572 (B) -2.42308 (C) -1.1148 (D) -4.62857 (E) 3.84684 (F) 0.576989 (G) 0.335642 (H) 1.5793SEE MORE QUESTIONS