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20. Determine an equation, in simplified form, for a cubic function with zeros 2± v5 and...
a) Determine an equation, in simplified form, for the family of cubic functions with zeros 2 +- sqrt5 and 0
a) Determine an equation, in simplified form, for the family of cubic functions with zeros 2 +- sqrt5 and 0.b) Determine an equation for the member of the family with graph passing through point (2,20)
The graph of a cubic polynomial function y = f(x) is shown. It is known that one of the zeros is...
The graph of a cubic polynomial functiony = f(x)is shown. It is known that one of the zeros is1 + i.Write an equation for f.
Write the cubic polynomial function f(x)in expanded form with zeros −5, −2,and 2, given that f(−1)=...
Write the cubic polynomial function f(x)in expanded form with zeros −5, −2,and 2, given that f(−1)= −24. f (x) = ______ Suppose $3,500 is compounded annually for 42 years. If no other deposits are made, what rate is needed for the balance to triple in that time? Round the answer to the nearest hundredth of a percent. Interest Rate = _______%
Use the given conditions to write an equation for the line in point-slope form and slope-intercept...
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (-3,-2) and (3,14) Type the point-slope form of the equation of the line. (Use integers or simplified fractions for any numbers in the equation.) Type the slope-intercept form of the equation of the line. (Use integers or simplified fractions for any numbers in the equation.)
Consider the cubic function y2r3 13z2 -13 -10. (a) Find the local maximum and minumum for the curve (to two decimals), and sketch a graph for the cubic function for-13r<6. (b) Find the equation fo...
Consider the cubic function y2r3 13z2 -13 -10. (a) Find the local maximum and minumum for the curve (to two decimals), and sketch a graph for the cubic function for-13r<6. (b) Find the equation for the tangent to the curve at the point where x = 0· Sketch the graph for the tangent on the same coordinate system as the cubic function.
Consider the cubic function y2r3 13z2 -13 -10. (a) Find the local maximum and minumum for the curve...
2. (20 pts) Consider the following function with its second derivative in simplified form (you should...
2. (20 pts) Consider the following function with its second derivative in simplified form (you should compute the first derivative): 4.2 f(x) = x²+1 f"(x) = 8.2(x - 3)(x + 3) (x² + 13 "None" could be an appropriate answer for some of the statements below: (a) (2 pts) The domain of f(x) is (b) (2 pts) An x-intercept of the graph of y = f(x) occurs at x = (c) (2 pts) The graph of y = f(x) has...
Find the polynomial function with the given zeros whose graph passes through the given point. Zeros:...
Find the polynomial function with the given zeros whose graph passes through the given point. Zeros: -3,1,4 Point:(6,180)
4. Determine the transfer function, poles and zeros, and stability of the system represented by the...
4. Determine the transfer function, poles and zeros, and stability of the system represented by the following difference equation: y[n] = -1.5y[n-1] + y[n-2] + x[n] Answers:H[z]= 1/(1+(1.5z^-1) - (z^-2)); poles at z = -2, 0, 5; zeros at z=0; unstable
Express each complex function in pole-zero form. Determine its poles and zeros and the multiplicity of...
Express each complex function in pole-zero form. Determine its
poles and zeros and the multiplicity of each.
1.13. H(s) = .
For the following specifications of lines find the equation of the line in (a) General form...
For the following specifications of lines find the equation of the line in (a) General form (b) Point-gradient form (c) Gradient intercept form i. Passing through (2,2) with gradient 3 ii. Passing through (-3,7) parallel to the line 38-4y+1=0 Passing through (1.1) perpendicular to the line 7x+3y-5=0
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (-3,-2) and (3,14) Type the point-slope form of the equation of the line. (Use integers or simplified fractions for any numbers in the equation.) Type the slope-intercept form of the equation of the line. (Use integers or simplified fractions for any numbers in the equation.)
Consider the cubic function y2r3 13z2 -13 -10. (a) Find the local maximum and minumum for the curve (to two decimals), and sketch a graph for the cubic function for-13r<6. (b) Find the equation for the tangent to the curve at the point where x = 0· Sketch the graph for the tangent on the same coordinate system as the cubic function.
Consider the cubic function y2r3 13z2 -13 -10. (a) Find the local maximum and minumum for the curve...
2. (20 pts) Consider the following function with its second derivative in simplified form (you should compute the first derivative): 4.2 f(x) = x²+1 f"(x) = 8.2(x - 3)(x + 3) (x² + 13 "None" could be an appropriate answer for some of the statements below: (a) (2 pts) The domain of f(x) is (b) (2 pts) An x-intercept of the graph of y = f(x) occurs at x = (c) (2 pts) The graph of y = f(x) has...
Express each complex function in pole-zero form. Determine its
poles and zeros and the multiplicity of each.
1.13. H(s) = .
For the following specifications of lines find the equation of the line in (a) General form (b) Point-gradient form (c) Gradient intercept form i. Passing through (2,2) with gradient 3 ii. Passing through (-3,7) parallel to the line 38-4y+1=0 Passing through (1.1) perpendicular to the line 7x+3y-5=0
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