Part of a circuit has two resistors connected in parallel as shown in the figure. R1 is a constant resistor of 10 ohm, while R2 is a variable resistor with resistance that varies at a rate of 2 ohms per minute. The total, or effective, resistance, R, provided by this circuit is given by:
1/R= 1/R1+1/R2

At what rate does the effective resistance change when R2 is 100 ohms? Round off your answer to four decimal places.

Write the system of equations represented by the matrix. 0 1 2 4 -2 3 6 9 1 0 1 3

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).

Robin and john each a a 12 inch pizza about how many square inches of pizza did they eat? estimate how much pizza they ate