Question Solved1 Answer The technique options are 1.multiply by a conjugate 2.simplify a complex fraction3. direct substitution4. factor and cancel D Question 3 1 pts Have a look at the "Problem Solving Strategy" directly before Example 2. 17. Use the Problem- Solving Strategy (and other information in Section 2.3) to determine the most appropriate technique for evaluating each of the following limits: a) lim √3x+16-s [ Select X-3 b) lim 74 Select] 1-0 x-2x-3 [ Select) c) lim *--*+2x+1 x-2x-3 d) lim 2x+5x+6 Select e) lim (-) Select) 0

(a) Find a formula for the slope of the tangent line to the graph off at a general point xo. The slope of the tangent line to f(x) at xo is given by Def 2.1.1: Suppose that xo is in the domain of the function f. The tangent line to the curve y = f(x) at the point P(xo, f(x)) is the line with f(x) -f(x) equation y-f(x) = mtan (x – xo) where Mtan lim provided the limit exists. x - xo f(x) – f(xo) Rewriting man lim using f(x) = x + Vx, we get X – Xo X-XO = XXO (x + √x) – xo + vxo Mtan lim X→X0 X – Xo О (x+ VX) - (xo + VX0 Mtan = lim XX0 X – Xo

C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. Complete parts (a) through (d) below. R(x) = - 2x + 6x,C(x) = 5x +13 Graph both functions antify the vertex of R(x). e vertex of R(x) is ype an ordered palt. Simplify your answer. Type Integers or decimals.) aph R(x). Choose the correct graph below O O S OC. OD o TA o 9 o C) be the cost to produce x batches of widgets and let ) be the revenue in thousands of dollars. Complete parts (a) through () below RO - - * x2 + 6%. Cl2)* 3x + 13 antity the intercept of C) y-Intercept of Cy) is aty- plily your answer) aph C14 Choose the correct graph below co os Find the minimum break-even quantity SIE C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. Complete parts (a) through (d) b R(x) = -x +6%. C(x) = 3x+13 Find the minimum break-even quantity. sing the expressions - x and/or 7x + 13, identify an equation to be solved in order to find the minimum break-even quantity pe an equation. Use integers or fractions for any numbers in the equation) e minimum break-even quantity is implify your answer.) Find the maximum revenue. w can the maximum revenue be found? Choose the correct answer below. A. Find the y-intercept of R(x). B. Find the maximum y-coordinate of a point where R(x) = C(x) to select your answer C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. Complete Rex) = = x + 6x, Crew =x+ 13 Find the maximum revenue. bw can the maximum revenue be found? Choose the correct answer below. A. Find the y-intercept of R(x). B. Find the maximum y-coordinate of a point where R(x) = C(x). C. Find the x-coordinate of the vertex of R(x). D. Find the y-coordinate of the vertex of R(x). he maximum revenue is UT M ound to the nearest Integer as needed.) Find the maximum profit. P(x) be the profit in thousands of dollars. Identify an expression in terms of x for P(x). k to select your answer(s) B. Find the maximum y-coordinate of a point where R(x) = C(x). C. Find the x-coordinate of the vertex of R(x). D. Find the y-coordinate of the vertex of R(x). he maximum revenue is 01 ound to the nearest integer as needed.) Find the maximum profit. P(x) be the profit in thousands of dollars. Identify an expression in terms of x for P(x). implify your answer. Use integers or fractions for any numbers in the expression.) he maximum profit is ound to the nearest integer as needed.) sk to select your answer(s).

8. A billiard ball (mass m = 0.150 kg) is attached to a light string that is 0.50 meters long and swung so that it travels in a horizontal, circular path of radius 0.40 m, as shown. 0.50 m a. On the diagram, draw a free-body diagram of the forces acting on the billiard ball. b. Calculate the force of tension in the string as the ball swings in a horizontal circle. c. Determine the magnitude of the centripetal acceleration of the ball as it travels in the horizontal circle. d. Calculate the period T (time for one revolution) of the ball's motion.

Problem 8: Find the modeling equation(s) for the system shown below. Given, x=y=0 @ t=0 when all the three springs are undeformed. At the given instant, both springs (the spring attached to mass m2 and mass mi (stiffness 28)) are in tension and y> x. Note: The horizontal-spring (stiffness k) has its one end attached to mass mi and the other end to a fixed support (hinge). Hint: To model the spring forces due to the two springs that passes over the pulley: - you may assume them to be in series as long as the pulley is ideal (massless and frictionless). Replace the two springs by a single spring (having stiffness kog) between two displacements x and y Ideal Pulley 2k 000 000 m CO01 000 111

Please show all steps. Thank you! Unanswered Question 1 0 / 10 pts The figure shows a uniform line charge distribution of length a = 7.9 cm and total charge Q = 4.3 nC. Find the electric potential relative to infinity at point P if d = 4 cm. P. d Q a You Answered Correct Answer 700.7586 margin of error +/- 1%

Which statement is FALSE? ► View Available Hint(s) One mole of beryllium (Be) contains the same number of atoms as 22.99 g of sodium. O One mole of calcium (Ca) weighs about as much as two moles of neon (Ne). 11.495 g of sodium contains 6.022 x 1023 atoms. O There are about 2.007 x 1023 atoms in 9.0 g Al