Find the quotient and remainder.

What will be an ideal response?


Quotient: x² + x-4 ; Remainder: 12

Mathematics

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Solve.The power that a resistor must dissipate is jointly proportional to the square of the current flowing through the resistor and the resistance of the resistor. If a resistor needs to dissipate  of power when  of current is flowing through the resistor whose resistance is  find the power that a resistor needs to dissipate when  of current are

flowing through a resistor whose resistance is 

A. 32 watts
B. 16 watts
C. 40 watts
D. 8 watts

Mathematics

Find the slope of the line.y = 3x + 2

A. - 
B. 3
C. 2
D.

Mathematics

Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b)  Find the x- and y-intercepts of the graph.(c)  Determine whether the graph crosses or touches the x-axis at each x-intercept.(d)  Graph f using a graphing utility.(e)  Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g)  Find the domain of f. Use the graph to find the range of f.(h)  Use the graph to determine where f is increasing and where f is decreasing.f(x) = 8x5 + 36x4 + 36x3

What will be an ideal response?

Mathematics

Consider the given points P and Q. a. Find b. Find the magnitude of c. Find two unit vectors parallel to P(4, 13, -2), Q(-1, 14, 8)

A. a. ;
b. 
c. , - 
B. a. ;
b. 5
c. , - 
C. a. ;
b. 3
c. , - 
D. a. ;
b. 
c. , - 

Mathematics