1.

An is a circle drawn outside of a triangle tangent to one side of the triangle and to the extensions of the other two sides, Select one: O a. excircle O b. circumscribing circle O c. inscribed circle O d. None of these O e. escribe circle2x The coefficient of the x in the Taylor series for e about x=0 Select one: O a. None of these O b. K O c. 1/24 O d. 2/3 Oe. 34Determine the coordinates of the point which is 3/5 of the way from the point (2, -5) to the point (-3, 5). Select one: O a. (-2,3) O b. (4, -1) O c. None of these O d. (-1,1) Oe. (1, -2)Find the approximate increase by the use of differentials in the volume of the sphere if the radius increases from 2 to 2.05 Select one: O a. 2.25 O b. 2.86 O c. None of these O d. 2.51 Oe. 2.12All are properties of determinants, except. Select one: " a. If two columns (or rows] of a determinant are interchanged, the value of the resulting determinant is equal to the negative of the value of the given determinant. O b. If the rows of one determinant are the same as the columns of another, in the same order, the two determinants are equal. O e if two columns (rows) of a determinant are identical, the value of the determinant is zero. O d. None of these O e. All of theseFind the equation of the line that passes through (2, -3) and has a slope of 5. Select one: O a. 5x + 3y = 13 O b. None of these O c. 5x - 3y = 13 O d. 5x+ y = 13 O e. 5x - y = 13are the opposite angles formed when two lines intersect. Select one: O a. congruent angles O b. complementary O c. vertical angles O d. None of these O e. adjacent anglesGiven than sin 0 =3/5 and 0 is acute, find cos 20 Select one: a. -4/5 O b. -7/25 O c. 4/5 O d. None of these O e. 7/25Find the slope of the curve y = 2(1 + 3x)^2 at point (0, 3) Select one: a. 54 O b. 48 O c. 64 O d. 81 O e. None of theseWhich of the following is not included when you find the inverse Matrix (say A) ? Select one: O a. Evaluate the determinant of matrix A O b. None of these O c. Form a cofactor matrix of matrix A O d. Divide each element in the (matrix cofactor)T O e. Form the transpose matrix of the cofactor matrix AA rectangle of sides a and b. Find the volume of the solid generated when rectangle is rotated on side b. Select one: O a. T/2a2b O b. It/2ab2 O c. None of these O d. na2b Oe. nab2A parabola has an equation of x = 20y. Compute the latus rectum of the parabola. Select one: O a. 40 O b. 60 O c. 90 O d. 20 O e. None of theseFind the area bounded by the curve y = 2 over (x - 3) and the lines y = 0, x = 4, and x = 5. Select one: O a. In4 O b. K2In 4 O c. 2In4 O d. None of these Oe. 4In 2The numerical measure of the likelihood of an event to occur. Select one: O a. median O b. statistics O c. frequency O d. None of these O e. probabilityA line is tangent to a circle if it touches the circle at Select one: O a. several points O b. None of these O c. two points O d. one point only O e. no point at allThe sum of interior angles of a nonagon is Select one: O a. None of these O b. 12801 O c. 12601 O d. 12501 O e. 12701Two currents described as 11 = 20sin 377t and 12 = 30cos 377t, what is the instantaneous current at t = 0.002 sec? Select one: O a. 37.07 O b. None of these O c. 35.56 O d. 39.08 O e. 38.07