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find a cartesian equation for the curve. 𝜃 = 𝜋 6, find a linear function that models the data in the table. f(x) = x +, find an equation for the surface obtained by rotating the curve y = x about the x-axis., find dy dx and d2y dx2 . x = et, y = te−t, find dy dx by implicit differentiation. xey = x − y, find dy/dx and d2y/dx2. x = et, y = te−t, find equations of both lines through the point (2, −3) that are tangent to the parabola y = x2 + x., find f(–2) for the function f(x) = 3x2 – 2x + 7. −13 −1 1 23, find f(–2) for the function f(x) = 3x2 – 2x + 7., find f(g(−1)). f(g(−1)) =, find f(g(4)). f(g(4)) =, find f(x) such that h(x)= (fog)(x) and g(x) 7- x 7 x h(x)7-9 f(x) =, find the area enclosed by the curve x = t2 − 2t, y = t and the y-axis., find the area enclosed by the given parametric curve and the y-axis. x = t2 − 2t, y = t, find the area inside the larger loop and outside the smaller loop of the limaçon r = 1 2 + cos(𝜃)., find the area of the largest rectangle that can be inscribed in the ellipse x2 a2 + y2 b2 = 1., find the area of the shaded region. r = 4 + 3 sin(𝜃), find the area of the shaded region. r = 𝜃, find the area of the shaded region. r2 = sin(2𝜃), find the area of the triangle def. area = square units, find the area of the triangle qrs. area = square units, find the derivative of the function using the definition of derivative. f(x) = mx + b, find the difference of functions s and r shown below. r(x) = –x² + 3x s(x) = 2x + 1 (s – r)(x) =, find the exact length of the curve. use a graph to determine the parameter interval. r = cos2 𝜃 2, find the exact length of the curve. use a graph to determine the parameter interval. r = cos2(𝜃/2), find the exact length of the curve. x = y4 8 + 1 4y2 , 1 ≤ y ≤ 2, find the exact length of the curve. x = y4 8 + 1 4y2 , 1 ≤ y ≤ 3, find the exact length of the curve. y = x − x2 + sin−1 x, find the exact length of the curve. y = x3 3 + 1 4x , 1 ≤ x ≤ 2, find the exact length of the curve. y = x3 3 + 1 4x , 1 ≤ x ≤ 3, find the exponential function f(x) = ax whose graph is given., find the exponential function f(x) = cbx whose graph is given., find the first partial derivatives of the function. f(x, y) = ax + by cx + dy, find the first partial derivatives of the function. z = x sin(xy), find the following angle measures. mangleead = ° manglecab = °, find the general solution of the given differential equation. (1 + x) dy dx − xy = x + x2, find the general solution of the given differential equation. cos(x) dy dx + (sin(x))y = 1, find the general solution of the given differential equation. cos2(x) sin(x) dy dx + (cos3(x))y = 1, find the general solution of the given differential equation. x dy dx − y = x2 sin(x), find the general solution of the given differential equation. x2y' + x(x + 2)y = ex, find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0, find the general solution of the given higher-order differential equation. y(4) − 2y'' + y = 0, find the general solution of the given higher-order differential equation. y(4) + y''' + y'' = 0, find the general solution of the given second-order differential equation. 3y'' + 2y' + y = 0, find the general solution of the given system. dx dt = −9x + 4y dy dt = − 5 2 x + 2y, find the inverse of each of the given functions. f(x) = 4x − 12 f−1(x) = x +, find the inverse of the function f(x) = 2x – 4., find the inverse of the function y = 2x2 + 2., find the inverse of the function. y = 2x2 –4, find the inverse of the function. y = x2 + 4x + 4, find the length of de using the distance formula. d = the length of de is units., find the length of the curve. r(t) = 4t, t2, 1 6 t3 , 0 ≤ t ≤ 1, find the length of the curve. r(t) = 6t, t2, 1 9 t3 , 0 ≤ t ≤ 1, find the length of the curve. r(t) = 8t, t2, 1 12 t3 , 0 ≤ t ≤ 1, find the object's speeds v1 , v2 , and v3 at times t1=2.0s , t2=4.0s , and t3=13s ., find the perimeter of the quadrilateral. if x = 2, the perimeter is inches., find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0)., find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0)., find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0)., find the potential solution to the equation log4(2 – x) = log4(–5x – 18). x =, find the product of d = ba. d11 = d12 = d21 = d22 =, find the product of each pair of complex conjugates. (3 + 8i)(3 – 8i) =, find the radius of a circle that has a circumference of 16. r = 4 r = 8 r = 12 r = 16, find the solution to the equation 2x^2 - 5x - 3 = 0, find the sum of the series. ∞ (−1)n𝜋2n 42n(2n)! n = 0, find the taylor polynomial t3(x) for the function f centered at the number a. f(x) = cos(x), a = 𝜋/2, find the value of 15.0 n in pounds. use the conversions 1slug=14.59kg and 1ft=0.3048m ., find the value of f(–2) for the function f(x) = 4x + 10., find the value of the expression when x = 4. 2 x6x 2 x2-x-21, find the value of x so that f(x)=7, find the value of x. x = 2 x = 3 x = 33 x = 52, find the values of x and y that make k || j and m || n. x = ° y = °, find the vectors t, n, and b at the given point. r(t) = t2, 2 3 t3, t , 1, − 2 3 , −1, find the vectors t, n, and b at the given point. r(t) = t2, 2 3 t3, t , 4, 16 3 , 2, find the x-intercept of the line 9x–3y=24., find y' if xy = yx., finding nemo:e4ykh0x77mw= barracuda, finding nemo:zhwvvmvilea= marlin, 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