* Find the general Solution of :- - Cotx dy dx

Q: Evaluate the line integral, where C is the given curve. Scx³ y³ ds, ds, C: x = t³, y=t, 0≤t≤3

A: given line integral to evalute

Q: Use Green's Theorem to evaluate the line integral. S 2xy dx + (x + y) dy C: boundary of the region…

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Q: Which of the following vector fields are conservative? (i) F(x, y) = (7x6y6 + 5)i + (6x7y5 + 4) j…

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Q: Find the antiderivtive: /102³-52² +7 x6 -dx = + C

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: A differential equation and its slope field are given. Complete the table by determining the slopes…

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Q: Tutorial Exercise Write the given expression as a single integral in the following form. [₁1 (2) dx…

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Q: Given the parabola: x = 3(y + 5)² - 4.

A: x=3(y+5)2−4We are comparing the equation withx=a(y−k)2+h

Q: i. ผ 8 n=1 (-3)" (2n+1)!

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Q: f(x) || 1 x² + 1

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Q: 1. Use Elementary Row Reduction and Gauss elimination to solve the following linear systems: { (a).…

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Q: e. Σ n=1 (-2)n-1 √n

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Using the graph of h(x). identify all of the values of c for which h(c) is a local maximum of…

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Q: . The derivative, f', of a function f is plotted below. At approximately what value of x does f…

A: The derivative, f′, of a function f is plotted below. At approximately what value of x does f reach…

Q: The function f(x) = x² + 5 is Select one: Neither odd, even, nor periodic function an even function…

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Q: A sports watch has a price-demand equation given by p = D(x) = 50.2-0.0567142x dollars, which gives…

A: I have appended the formula used in solution procedures

Q: Find the area A of the sector of a circle of radius 20 centimeters formed by the central angle 1/9…

A: Radius of circle=20 cmCentral angle=19 radian

Q: Evaluate the integral: - 20 √2²√2² + 64 x²₁ dx (A) Which trig substitution is correct for this…

A: To evaluate the following integral.

Q: Having completed your first few tasks, you move now to a portion of the lab where important bacteria…

A: Given: To Find: To determine the bacteria population after 5 days.

Q: g. Σ. (3) n2 in=1 72

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Q: Find a function f(x) such that f'(x) = − 5eª + 3x and ƒ(0) : = f(x) = - 1

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Q: Multiply both sides by x²(x + 1) and combine like terms. Ax(x + 1) + B(x + 1) + Cx² 9x - 1 A = = X…

A: The equation is given by:-

Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

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Q: The surface whose equation in cylindrical coordinates is r = 5 is... a cylinder a cone half of a…

A: The given equation of is

Q: 2. Determine the value of the discriminant for the quadratic equation y = 1.4x² - 6x +5 and use that…

A: we are given the quadratic equation and we need to find its discriminant.

Q: Using the graph of g 'shown below and the fact that g(0) = 150, find the coordinates of all the…

A: We have given a graph of g'(x) and the initial value of function g( 0)=150.We have to find the…

Q: 0-5-5 x'(t) = -5 0-5 x(t). x( -5 -5 0

A: We have to solve the given initial value problem.

Q: LESSON 16: SOLUTIONS TO HOMOGENOUS LINEAR DE OF ORDER N. 1. Solve the DE b) y" -9y=0. when x = 0, y…

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Q: You cost out a New York steak dinner.  Your cost is $7.00 and you want to put this on the menu for a…

A: You cost out a New York steak dinner. Your cost is $7.00 and you want to put this on the menu for a…

Q: With your computer now loaded, you bring up the data for · your experiment. The data suggests that…

A: Given: To Find: To Find the inverse relationship so that the amount of time it will take to reach a…

Q: Find the sum of the series: n=0 (-1)"36¹-2 n!

A: ∑n=0∞(−1)n36n−2n!

Q: Öz Given z = sin(y) where a=t+u and y=t-u, find Ot What is the formula for ✓ Find Oz Ət dz Ot : 8z…

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Q: Part III.  A tank contains 400 liters of water. A solution with a salt concentration of 0.4 kg/L is…

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Q: 28. 2π 1 1/2 [²²₂(² sin²³0 +2²) 0 -1/2 (r² sin² 0 + z²) r dz dr də

A: To evaluate the following integral.

Q: A candy box is made from a piece of cardboard that measures 37 by 20 inches. Squares of equal size…

A: Given:A candy box is made from a piece of cardboard that measures 37 by 20 inches. Squares of equal…

Q: Compute the line integral [(x+y)dx-xdy, where C is the arc of the parabola y = x² +1 that goes from…

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Q: Find /( - 32² + 02 - 3³ + √²) dz 6 3x6 x6

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Q: Use the taylor expansion up to the third iteration to approximate f(3) for the function f(x) =…

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by fat x = a. 1 f(x) = -— , a=3 X…

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Q: Using the appropriate substitutions sin sin 20 = 2 sin 0 cos , evaluate the integral. 16 cose Ꮎ ᏧᎾ…

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Q: Consider the following polynomial function. f(x)=(x+1)2(x−2)5(x−3) Step 2 of 3:  Find the…

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Q: Use Euler's Method to make a table of values for the approximate solution of the differential…

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Q: You turn to the next task that you were assigned, where an object is moving at a constant speed of 3…

A: Given that an object is moving at a constant speed of  meters per seconds

Q: Tutorial Exercise Express the limit as a definite integral on the given interval. lim Σvil (2 + x)…

A: The definite integral  can be written in the limit form on the interval [a,b] as

Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 2 + √ 49-x²) dx

A: simplify the integral

Q: Use the initial condition y(2) = 7 to determine the value of A that will satisfy the initial value…

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Q: The height (feet) of an object moving vertically is given by s= - 16t² + 48t+ 36, where t is in…

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Q: 2. In poker, a straight flush is five cards in sequence that are all the same suit. For example, A,…

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Q: Sketch the region R bounded by the curves y = e, y = 1, and x = 2, and find the coordinates of the…

A: We have to find the coordinates of the centroid.

Q: Solve the following integration :- 6 dx | (X-4)(+7)

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Q: Find the general anti derivative of the function f(x)=8x^9-3x^6+12x^3

A: Given,.