Find the cubic polynomial p(x)=c1+c2x+c3x2+c4x3 such that p(0)=1,p′(0)=3,p(1)=6,p′(1)=−1. (Hint: You may use the formula for Hermite cubic interpolant.) All coefficients are integers. c_1: c_2: c_3: c_4:

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %

Lines f and g are cut by the transversal d. the measure of 1 = 2x + 35 and the measure of 8 = 10x - 85. what value of x will show that lines f and g are parallel? a. 19 b. 26 c. 18 d. 15

The table below shows the angle measurements for triangle abc and triangle xyz. if triangle abc is similar to triangle xyz, what does angle z equal, in degrees?