For the following practice question, please determine whether the vector field is conservative. If it is conservative, then find the potential function f of F F (x, y) = e (sin(y)î + cos(3))

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

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Q: Solve for x. Round to the nearest tenth, if necessary. U 67 42° V

A: The given triangle has UT=67, UV=x and measure of V=42 degree.

Q: 5 2x + -8 -3 4 24

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Q: During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M.…

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Q: Find the area of the region contained in the ellipse given by (2)² + (2)² = 1 using methods from…

A: Given equation of the ellipse .We have to find the area of the ellipse.

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Q: Find the indefinite integral using the substitution x = 6 sec(o). (Use C for the constar…

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Q: Q10: X and Y are acute angles in quadrant I, with sin x = 7/25 and cos y = 5/13. Without using a…

A: Sin(x+y) = (323/325) tan(x+y) = (323/36)

Q: 3 Using a Change of Variables The figure shows the region R bounded by the curves y= Ja, y = /2r, y…

A: We have to find the area of the given region using the change of variables method where x=u13v23 and…

Q: How would I go about solving this?

A: Given that, 38 49 53 58 61 67 67 67 67 69 72 75 76 76 77 77 78 79 79 79 79 79 81 82 84 84 85 85 86…

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A: According to Pythagoras theorem, H2=P2+B2 Here H is hypotenuse (longest side). This side is in front…

Q: From the top of a tower, the angle of depression to a stake on the ground is 60°. The top of the…

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of its angles…

Q: Hi,  I need help solving this step-by-step please.  thanks!

A: f(x) = x5 + ex f(-1) can be calculated by putting x = - 1 in the above equation. f(0) can be…

Q: Evaluate the iterated integral. 7/3 '5 y cos(x) dy dx 0/

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Q: Again, the function y=x is shown below. Graph each of the following more complicated quadratics…

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Q: As a pot of coffee cools down, the temperature of the coffee is modeled by a differentiable function…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.