PRINTABLE VERSION Final You scored 60 out of 80 Question 1 Your answer is CORRECT. Compute a) b) c) d) e) Question 2 Your answer is CORRECT. Find the values of A and B that will make g(x) continuous. a) b) c) d) e) Question 3 Your answer is CORRECT. Find the derivative of a) b) c) d) e) Question 4 Your answer is INCORRECT. The graph of f ’ (x) is shown below. Give the interval(s) where the graph of f (x) is increasing. a) b) c)
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In Mathematics‚ a periodic function is a function that repeats its values in regular intervals or periods. Periodic functions are used throughout science to describe oscillations‚ waves‚ and other phenomena that exhibit periodicity. Periodic functions are those that repeat on a set interval. All trigonometric functions are periodic. They are useful because one can determine the value of the function anywhere in the domain. If a function is periodic‚ then there is some value n for which
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FATHER INVOLVEMENT IN CHINESE AMERICAN FAMILIES AND CHILDREN’S SOCIO-EMOTIONAL DEVELOPMENT Lillian Elizabeth Wu B.A.‚ University of California‚ Berkeley‚ 2005 THESIS Submitted in partial satisfaction of the requirements for the degree of MASTER OF ARTS in EARLY CHILDHOOD EDUCATION at CALIFORNIA STATE UNIVERSITY‚ SACRAMENTO FALL 2009 FATHER INVOLVEMENT IN CHINESE AMERICAN FAMILIES AND CHILDREN’S SOCIO-EMOTIONAL DEVELOPMENT A Thesis by Lillian Elizabeth Wu Approved
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the key points along the x-axis using the method of shadow functions and their generators. Technology Used: Technology that had been used is shown below 1) Autograph (Version 3.3) Graphing Display Calculator TI-84 Plus Texas Instruments 2) Defining terms:i Quadratic‚ cubic‚ quartic functions are members of the family of polynomials. A quadratic function is a function of the form constants and A cubic function is a function of the form are constants and A quartic function
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+ 36 from both sides x² - 8x - 20 = 0 factor the quadratic equation (x -10)(x + 2) = 0 use zero factor property to solve X – 10 = 0 or x + 2 = 0 creating a compound equation x = 10 or x = -2 the answer cannot be – 2 x = 10 Now we will plug in the value and solve: x paces north and 2x + 4 paces east or 10 paces north and 2(10) + 4 = 24 paces east of Leaning Rock. Or 2x + 6 paces northeast or 2(10) + 6 = 26 paces northeast from the rock to reach the buried treasure. In this
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Aarhus School of Business‚ Aarhus University Master of Science in International Economic Consulting Master Thesis The Effect of Social Trust and Economic Growth Author: Lena Pfister Academic Supervisor: Christian Bjørnskov September 2010 Abstract: In recent years‚ social trust has gained in importance within social science‚ especially in an economic growth context. The thesis examines social trust as a potential determinant of economic growth using a panel data set including
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by ₹20 in fact. Despite the warning in the title‚ Mrs Mess did pay less than she should have done! Cost of furniture: ₹70 Mrs Mess paid: ₹100 x 2 = ₹200 Change received: ₹50 x 3 = ₹150 Net payment: ₹200 - ₹150 = ₹50 Profit for Mrs Mess: ₹70 - ₹50 = ₹20 Puzzle: Measure exactly 2 litres of water if you have: 1) 4 and 5-litre bowls 2) 4 and 3-litre bowls Solution . . . 1) Fill the 5-litre bowl; pour water from it to fill the 4-litre bowl‚ which you empty afterwards. Pour the
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other word in a sentence is called “pronoun” Q2. Write any six conjunctions? Ans. Although‚ who‚ and ‚ but ‚ because‚ whom. Q3. Combine the following sentences. Roger hates history. He likes English. He likes Maths. Ans. Roger hates history but he likes English and maths. The day was cold. The day was windy. It was only the first of February. Ans. The day was cold and windy although it was only the first of February. The dog was barking. He was trying to get over the gate.
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56 b. ln(4x)=3 4x = e^3 x = e^3/4 x = 5.02 c. log2(8 – 6x) = 5 8-6x = 2^5 8-6x = 32 6x = 8-32 x = -24/6 x = -4 d. 4 + 5e-x = 0 5e^(-x) = -4 e^(-x) = -4/5 no solution‚ e cannot have a negative answer 2. Describe the transformations on the following graph of f (x) log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example‚ vertical shift up 2 or reflected about the x-axis are descriptions. a. g(x) = log( x + 5) horizontal
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Quiz No 3 Version: A Name__________________ Student Number______________ 1. The globalization of markets and the importance of innovation are independent of one another. 2. Flexible manufacturing technologies have increased the importance of production economies of scale. 3. Innovation and new technology have led to longer product life cycles as better quality products are being produced. 4. The increased pace of innovation has only had a negligible effect on market
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