Pre-AP Calculus Syllabus Blue Springs School District 2016
... This course is designed for those students with a strong background in Algebra II and Geometry. This rapidly paced course will prepare students for the rigors of AP Calculus. It is designed to go into algebraic and trigonometric concepts in the detail needed for AP Calculus. One honor point may be e ...
... This course is designed for those students with a strong background in Algebra II and Geometry. This rapidly paced course will prepare students for the rigors of AP Calculus. It is designed to go into algebraic and trigonometric concepts in the detail needed for AP Calculus. One honor point may be e ...
Math 135, Section 1, Midterm 2 Solutions 1 1. Compute the indicated
... of 3 − x − x8 at x = 0, which is −1. (This is the precise meaning of the apparent “corner” on the graph at x = 0.) Since the one-sided limits of the difference quotient of f are not the same, f 0 (0) does not exist. 3. Do not use the “short-cut” differentiation rules from Chapter 3 in this question. ...
... of 3 − x − x8 at x = 0, which is −1. (This is the precise meaning of the apparent “corner” on the graph at x = 0.) Since the one-sided limits of the difference quotient of f are not the same, f 0 (0) does not exist. 3. Do not use the “short-cut” differentiation rules from Chapter 3 in this question. ...
MAC2313-SUMMER 2007
... 2. Find the three positive numbers x, y and z such that sum is 30 and the product is a maximum. 3. Find the three positive numbers x, y and z such that sum is 1 and the sum of the square is minimum. 4. A company manufactures two products. The total revenue from x units of product 1 and x2 units of p ...
... 2. Find the three positive numbers x, y and z such that sum is 30 and the product is a maximum. 3. Find the three positive numbers x, y and z such that sum is 1 and the sum of the square is minimum. 4. A company manufactures two products. The total revenue from x units of product 1 and x2 units of p ...
4.4 PS solutions on pages 3-4
... Putting these elements together, the area A=LW=(2X)(16-X^2)= 32X-2X^3 To find the critical point, set the derivative equal to zero. Y ‘ = 32 – 6X^2 = 0 Let’s rule out the negative version, since it is the same rectangle. X ...
... Putting these elements together, the area A=LW=(2X)(16-X^2)= 32X-2X^3 To find the critical point, set the derivative equal to zero. Y ‘ = 32 – 6X^2 = 0 Let’s rule out the negative version, since it is the same rectangle. X ...
Extrema on an Interval
... 2. Write primary equation for quantity to be max/minimized 3. Reduce primary equation to 1 single variable, using other equations 4. Determine feasible domain, which values make sense ...
... 2. Write primary equation for quantity to be max/minimized 3. Reduce primary equation to 1 single variable, using other equations 4. Determine feasible domain, which values make sense ...
MATH 12002 - CALCULUS I §1.3: Introduction to Limits
... The number the average velocity is approaching (the instantaneous velocity) is the LIMIT of the average velocity as h approaches 0. In symbols, if s(t) is the position at time t, then the average velocity on the time interval from t = a to t = a + h is the distance s(a + h) − s(a) divided by the len ...
... The number the average velocity is approaching (the instantaneous velocity) is the LIMIT of the average velocity as h approaches 0. In symbols, if s(t) is the position at time t, then the average velocity on the time interval from t = a to t = a + h is the distance s(a + h) − s(a) divided by the len ...
Annex - Mathematics for Economics: enhancing Teaching
... Therefore the value of the elasticity depends on the ratio of P and Q As Q approaches 0, Q is divided by a very small number. As a ratio P is very big relative to Q. The elasticity tends to infinity . As P approaches 0, P is a very small number. As a ratio P is very small relative to Q. The elastic ...
... Therefore the value of the elasticity depends on the ratio of P and Q As Q approaches 0, Q is divided by a very small number. As a ratio P is very big relative to Q. The elasticity tends to infinity . As P approaches 0, P is a very small number. As a ratio P is very small relative to Q. The elastic ...
Grade 12 advanced | Mathematics for science
... real-world scenarios. They use realistic data and ICT to analyse problems. Geometry and measures Students are aware of links between geometry and algebra, which deepens their understanding of space and movement. They understand the roles that trigonometry and circular functions play in modelling and ...
... real-world scenarios. They use realistic data and ICT to analyse problems. Geometry and measures Students are aware of links between geometry and algebra, which deepens their understanding of space and movement. They understand the roles that trigonometry and circular functions play in modelling and ...
Name: Period ______ Sec5-3 #9-12all, 24
... Sec5-3 #9-12all, 24-30 evens, 41,45,47,51 Inverse Functions (notes about these problems) Sec5-4 #2-16 evens, 30 & 32 Solve exponential and log equations (review problems, see page 352, Example 1 & page 353, Example 2) Review Box: Inverse Functions An inverse functions switches the role of the input ...
... Sec5-3 #9-12all, 24-30 evens, 41,45,47,51 Inverse Functions (notes about these problems) Sec5-4 #2-16 evens, 30 & 32 Solve exponential and log equations (review problems, see page 352, Example 1 & page 353, Example 2) Review Box: Inverse Functions An inverse functions switches the role of the input ...
Extrema and Critical Numbers
... Relative Extrema and Critical Numbers In Figure 3.2, the graph of f(x) = x3 – 3x2 has a relative maximum at the point (0, 0) and a relative minimum at the point (2, –4). Informally, for a continuous function, you can think of a relative maximum as occurring on a “hill” on the graph, and a relative ...
... Relative Extrema and Critical Numbers In Figure 3.2, the graph of f(x) = x3 – 3x2 has a relative maximum at the point (0, 0) and a relative minimum at the point (2, –4). Informally, for a continuous function, you can think of a relative maximum as occurring on a “hill” on the graph, and a relative ...
Fundamental Counting Principle (the multiplication principle)
... Example 1: A restaurant menu offers a meal that consists of an appetizer, main dish and dessert. If there are 3 appetizer options, 4 main dish options, and 2 dessert options, how many possible ...
... Example 1: A restaurant menu offers a meal that consists of an appetizer, main dish and dessert. If there are 3 appetizer options, 4 main dish options, and 2 dessert options, how many possible ...
The Exponential Function A. Theorem 1 B. Example 1: Compound
... look it up on the Internet if you want to.) Calculate decimal values of E1 , E2 , E3 , E5 , E10 , E100 , and E1000 , to 6 significant figures. How do they compare to e? On a chessboard, 1 grain of wheat is placed on the first square, 2 on the second square, 4 on the third square, 8 on the fourth Pro ...
... look it up on the Internet if you want to.) Calculate decimal values of E1 , E2 , E3 , E5 , E10 , E100 , and E1000 , to 6 significant figures. How do they compare to e? On a chessboard, 1 grain of wheat is placed on the first square, 2 on the second square, 4 on the third square, 8 on the fourth Pro ...