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  • Determine the zeros of #p(x)=x^3−5x^2−6x# - Socratic
    See process below Polinomial Degree= 3 Thus it will have 3 roots or zeroes p(x)=x^3-5x^2-6x=x(x^2-5x-6
  • How do you use the shell method to set up and evaluate the integral . . .
    The normal revolution method calls for: V = pir^2h = sum_(a=a_0)^b pi(r(x))^2Deltax = piint_a^b (r(x))^2dx where one stacks circle analogs of varying radius r(x) across an orthogonal interval Deltax In contrast, the shell method calls for a volume formula as such: V = int_a^b 2pixr(x)dx where the way r(x) varies determines the height and shape of the revolved solid Here, Deltax is instead
  • How do you use synthetic division to divide 5x^77 - 4x^60 + 2x^43 + 6x . . .
    You can use the remainder theorem to determine the remainder as: #5-4+2+6-4+2 = 7# As for the quotient, I would not use synthetic division
  • How do you find local maximum value of f using the first and . . . - Socratic
    #f''(x)=6x-12# The second derivative uses the concavity at a critical value to determine what type of extremum exists there The two concavities are displayed above Notice that the concave down shape always produces a maximum, while the concave up shape will always produce a minimum
  • Write an equation of the line in standard form? | Socratic
    y-6x=2 Formulas of lines have the form y=ax+b The slope is a For example, y=5x means that the y-coordinate increases by 5 for every x The y-intercept is b For example, y=5x+2 has a y-intercept at the coordinates (0,2) First, write the given equations in the form y=ax+b 6x-y=5 Subtract 6x from both sides -y=5-6x Multiply both sides by -1 y=6x-5 4y-9x=8 Add 9x to both sides 4y=9x+8
  • How do you find the zeros of f(x) = 3x^4 +4x^3 +6x^2 -4? - Socratic
    Use a numerical method to find approximate zeros: x_1 ~~ -0 908845148702144 x_2 ~~ 0 639396468497863 x_(3,4) ~~ -0 53194232656453+-1 41826916487156i f(x) = 3x^4+4x^3+6x^2-4 By the rational root theorem, any rational zeros of f(x) are expressible in the form p q for integers p, q with p a divisor of the constant term -4 and q a divisor of the coefficient 3 of the leading term
  • How do solve the following linear system?: # x+2y=5 , -6x+3y=-12 - Socratic
    We can manipulate each equation to isolate a single common variable by multiplying them by respective values to cancel out the variable that we will find second: x + 2y = 5 Given Equation 1 -6x + 3y = -12 Given Equation 2 6x + 12y = 30 Multiply Equation 1 by (6) -6x + 3y = -12 Vertically align Equation 2 for Addition 0x + 15y = 18 Add like
  • How do you find the local maximum and minimum values of f(x)=x^3 + 6x^2 . . .
    How do you find the local maximum and minimum values of # f(x)=x^3 + 6x^2 + 12x -1# using both the First and Second Derivative Tests? Calculus Graphing with the Second Derivative Relationship between First and Second Derivatives of a Function


















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