
Concept explainers
Tanzanite. Tanzanite is a gemstone discovered in 1967 in the East African state of Tanzania, the only place in the world where it has been found. Rarer than diamond, tanzanite ranges in color from ultramarine blue to light violet-blue. The world’s biggest piece of tanzanite was unearthed near Tanzania’s Mount Kilimanjaro. The gemstone weighed 16,839 carats and was the size of a brick. A carat (also spelled karat) is a unit of weight for precious stones;
Source: International Colored Gemstone Association; “World’s Biggest Tanzanite Gem Found Near Kilimanjaro,” Bloomberg.com, Aug. 3, 2005
How many grams is this record tanzanite gemstone?
Given that

Want to see the full answer?
Check out a sample textbook solution
Chapter B Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
- x The function f is shown below. If I is the function defined by g(x) = √ ƒ(t) dt, find the value of g"(-8) in simplest form. g -1 8 y 7 10 6 LC 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 -1 -2 -3 -4 -5 56 -6 -7 -8 4 5 Graph of f 10 6 00 7 8 9 10 xarrow_forwardIn Problems 1-16 the indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5), as instructed, to find a second solution y2(x). 1. y" - 4y' + 4y = 0; yı = e2xarrow_forwardThe function f is shown below. If g is an antiderivative of f such that g(6) = 2, what is the maximum value of g on the closed interval [-9,9]? 8 7 6 Сл 5 4 3 1 y Graph of f -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 23 4 -1 -2 -3 -4 -6 56 -5 -7 -8 LO 5 9 7 8 9 10arrow_forward
- x The function of is shown below. If I is the function defined by g(x) = [* f(t)dt, write the equation of the line tangent to the graph of 9 at x = -3. g y Graph of f 8 7 6 5 4 32 1 x -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 56 -6 -7 -8arrow_forward- Problem 3: For a short time, the 300-kg roller-coaster car with passengers is traveling along the spiral track at a constant speed of v = 8 m/s with r = 15 m. If the track descends d = 6 m for every full revolution, 0 = 2π rad, determine the magnitudes of the components of force which the track exerts on the car in the r, 0, and z directions. Neglect the size of the car. Bonus: Develop a MATLAB program to solve for this problem.arrow_forwardLet f(x)=4excosxf'(x)=arrow_forward
- The graph of the function f in the figure below consists of line segments and a quarter of a circle. Let g be the function given by x g(x) = __ f (t)dt. Determine all values of a, if any, where g has a point of inflection on the open interval (-9, 9). 8 y 7 76 LO 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 ♡. -1 -2 3 -4 56 -5 -6 -7 -8 Graph of f 4 5 16 7 8 9 10arrow_forwardpls helparrow_forwardThe areas of the regions bounded by the graph of the function f and the x-axis are labeled in the figure below. Let the function g be C defined by the equation g(x) = [* f(t)dt. What is the maximum value of the function g on the closed interval [-7, 8]? 17 y Graph of f 00 8 76 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3-2-1 -2 702 4 1 21 3 4 568 -4 -5 --6 -7 -8 x 5 6 7 8 9 10 17arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALIntermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill





