Use the given transformation to evaluate the given integral, where R is the triangular region with vertices (0, 0), (7, 1), and (1, 7). JJ₂cx. (x-8y) dA, x = 7u + v, y = u + 7v

Q: Solve the following set of equations by graphing. y+x=9 3y= 2x+8 O (3.75, 5.25) O (3.5, 5.5) no…

A: The first equation is,To graph the line, we need only two pointsxy=9-x0990Draw a line between (0,9)…

Q: 23,31

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Q: For a football game, 5,600 tickets were sold. The price for each adult ticket is $27.25, and the…

A: Let the number of children tickets be x Let the number of adults tickets be y

Q: Graph f(0) = 3tan(0 - ) - 1 where ≤ 0≤.

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Q: Write an area problem for which finding the solution would involve evaluating the double integral ²…

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Q: Find u (vx w). =(5, 5, 5) v = (1, 9, 0) w = (0, 0, 4) U =

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Q: Evaluate the integral by changing to spherical coordinates. 6⁰ 6² 10 ✓ 100 - x 2 ✓200x2 - y² x² + y²…

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Q: (Urgent) please answer step 8, thank you

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Q: c'(x) = e(x) e'(x) = t(x) t'(x) = h(x) h'(x) = c(x) 0 1 2 1 0 4 3 3 4 1 2 لا e(x) c(x) 3 t(x) 4 1 3…

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Q: Find the equivalent interest rates to the given nominal interest rates. a. Nominal interest rate…

A: To find the equivalent nominal interest rate, we have to use the following formula ;…

Q: things: f'(x) = b(r) b'(x) = p(x) p'(x) = t(x) t'(x) = f(x) 0 f(x) 2 b(x) 0 t(x) 4 p(x) 1 2 $ f ₁*…

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Q: Write the equations in cylindrical coordinates. (a) 8x² + 8y2 - z² = 5 z = 8x2 - 5 (b) 4x - y + z =…

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Q: Find dy/dx by implicit differentiation. x2 − 7 ln y + y2 = 11

A: Given Equation

Q: a) Determine the first derivative. f(x)= x³ - 5x² + 3x + 2 b) Determine critical points, and…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Sketch the region of integration and evaluate the integral. 5 x² S S dy dx 0 - 3x Sketch the region…

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Q: For the following set of equations, determine (a) if the system is a linear system of equations, (b)…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(3, 0, 2), Q(-1, 2, 8), R(6,…

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Q: You are given the four points in the plane A = (-7, 6), B = (-4,-1), C = (1,7), and D = (5,-1). The…

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Q: dy Given the equation 8 sin 3xy = 7, evaluate. Assume that the dx equation implicitly defines y as a…

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Q: Solve the following set of equations by graphing. y²=16-x² y=4 O (0,4) O (0, -4) y cloudy Ono…

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Q: Determine the concavity of f(x) 2π < x < 2π. - X = e cos x over the interval of

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Q: x² Find an equation of the tangent line to the curve y = - at the point x+1 (1,2).

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Q: Find the derivative of y = 7x⁹ + 9 +3. dy = dx

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Q: 25. An open-topped cylindrical pot is to have volume 250 cm³. The material for the bottom of the pot…

A: Let the dimensions of the cylinder is as follows Let radius of the cylinder is r Let height of the…

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. (If an…

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Q: Find dA, the estimated change in surface area, if the radius of a sphere changes from 7 to 7.2.…

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Q: 5. fxex²4dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Suppose that F is an antiderivative of function f, if f is continuous on [a, b], then So f(x)dx=…

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Q: Find the cross product of the unit vectors. jxk Sketch your result. O O

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Q: Given f(x) = 8x + 1, write a limit representing the derivative of f(x) at x = 1. Provide your answer…

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Q: Write both the scalar or cartesian equation of a plane that is perpendicular to the line [x,y,z] =…

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Q: Find the sum of the convergent series. (Round your answer to four decimal places.) Σ (sin(8))" n=1

A: To find the sum of the following convergent series.

Q: For the questions 17 to 19, find the average value of the function over the interval, and find the…

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Q: Determine if each point P is on the lin (x, y] [3, 1] + −2, 5). a) P(-1, 11) b) P(9,-15 ANO 11

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Q: 3. The position of an object S(t) at any time t, is given by: s(t) = -16t² + 20t+25 where s(t) is…

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Q: The joint density function for a pair of random variables X and Y is given. (Round your answers to…

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Q: Find the volume of the solid generated by revolving the region about the given line. 9) The region…

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Q: 12. Write the scalar equation of the plane given its vector equation: [x, y, z] = [1, 1, 2] + s[0,…

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Q: Suppose F(7) = 3, F(10) = -6, and F'(x) = f(x).

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Q: Find the sum of the infinite geometric series 2 + 2√2+2√2√2+2√2√2√2+..., where each term is obtained…

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Q: The vertical asymptotes of the cotangent function are located at the same values of x for which the…

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

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Q: Find f such that f'(x) = f(x) = 9 √√x 1 f(4) = 48.

A: Integrate both side given function

Q: Evaluate the following using exact degree measure. Show all of your work. sc-² (233) 30° 150° O 120°…

A: The given trigonometric expression is,

Q: Type the equation of the given graph in the form y = A sin Bx or y = A cos Bx.

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Q: Let f(x) = 5 log₂ (x) ƒ'(x) = ƒ'(9) = 9-

A: By using logarithmic properties

Q: A graphing calculator is recommended. For the limit lim (x3 - 3x + 9) = 11, illustrate this…

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Q: Use spherical coordinates. Evaluate y² dv, where E is the solid hemisphere x² + y² + z² ≤ 4, y ≥ 0.

A: We find the given integral value using spherical coordinate.

Q: Find the general solution of the given higher-order differential equation. d³u d²u dt³ dt² u(t)= +…

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Q: Find the distance between the skew lines with parametric equations…

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