Determine the equation of the plane containing the point and the line. (-7,10,-3), r(t) = (1-4t,...

   

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Determine the equation of the plane containing the point and the line. (-7,10,-3), r(t) = (1-4t, 6t-4,t-4) (Express numbers in exact form. Use symbolic notation and fractions where needed. Write the equation of the plane in scalar form in terms of x, y, and z.) equation: Find the solution with the given initial condition. r' (t) = (e', sin (t), cos (t)), r(0) = (1,0.1), r'(0) = (0,5,5> (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r(t) = Evaluate the integral. [ Determine the equation of the plane containing the point and the line. (-7,10,-3), r(t) = (1-4t, 6t-4,t-4) (Express numbers in exact form. Use symbolic notation and fractions where needed. Write the equation of the plane in scalar form in terms of x, y, and z.) equation: Find the solution with the given initial condition. r' (t) = (e', sin (t), cos (t)), r(0) = (1,0.1), r'(0) = (0,5,5> (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r(t) = Evaluate the integral. [