1 Limits And Continuity 2 The Derivative 3 Topics In Differentiation 4 The Derivative In Graphing And Applications 5 Integration 6 Applications Of The Definite Integral In Geometry, Science, And Engineering 7 Principles Of Integral Evaluation 8 Mathematical Modeling With Differential Equations 9 Infinite Series 10 Parametric And Polar Curves; Conic Sections 11 Three-dimensional Space; Vectors 12 Vector-valued Functions 13 Partial Derivatives 14 Multiple Integrals 15 Topics In Vector Calculus expand_more
1.1 Limits (an Intuitive Approach) 1.2 Computing Limits 1.3 Limits At Infinity; End Behavior Of A Function 1.4 Limits (discussed More Rigorously) 1.5 Continuity 1.6 Continuity Of Trigonometric Functions 1.7 Inverse Trigonometric Functions 1.8 Exponential And Logarithmic Functions Chapter Questions expand_more
Problem 1QCE Problem 2QCE Problem 3QCE: In each part, determine the exact value without using a calculating utility. (a) sin11= (b) tan11=... Problem 4QCE: In each part, determine the exact value without using a calculating utility. (a) sin1sin/7= (b)... Problem 1ES: Determine where f is continuous. fx=sin12x Problem 2ES Problem 3ES: Determine where f is continuous. fx=tan1xx29 Problem 4ES: Determine where f is continuous. fx=sin11/xx Problem 5ES: Given that =tan143, find the exact values of sin,cos,cot,sec, and csc . Problem 6ES: Given that =sec12.6, find the exact values of sin,cos,tan,cot, and csc . Problem 7ES: For which values of is it true that
(a)
(b)
(c)
(d) ?
Problem 8ES: Find the exact value of the given quantity. secsin134 Problem 9ES: Find the exact value of the given quantity. sin2cos135 Problem 10ES: Complete the identities using the triangle method (Figure 1.7.3 ). (a) sincos1x=? (b) tancos1x=? (c)... Problem 11ES: Complete the identities using the triangle method (Figure 1.7.3 ). (a) costan1x=? (b) tancos1x=? (c)... Problem 12ES: (a) Use a calculating utility set to radian measure to make tables of values of y=sin1x and y=cos1x... Problem 13ES Problem 14ES: The law of cosines states that c2=a2+b22abcos where a,b, and c are the lengths of the sides of a... Problem 15ES Problem 16ES: Use a calculating utility to approximate the solution of each equation. Where radians are used,... Problem 17ES: (a) Use a calculating utility to evaluate the expressions sin1sin10.25 and sin1sin10.9, and explain... Problem 18ES: A soccer player kicks a ball with an initial speed to 14m/s at an angle with the horizontal (see... Problem 19ES Problem 20ES: Find the limits. 20. limxn+tan1(cscx) Problem 21ES: Determine whether the statement is true or false. Explain your answer. By definition, sin1sinx=x for... Problem 22ES: Determine whether the statement is true or false. Explain your answer. The range of the inverse... Problem 23ES: Determine whether the statement is true or false. Explain your answer. The graph of y=sec1x has a... Problem 24ES Problem 25ES Problem 26ES: From Exercise 1.5.58, under the assumptions that f is an invertible function, f(0)=0,f is continuous... Problem 27ES Problem 28ES Problem 29ES: The function cot1x is defined to be the inverse of the restricted cotangent function cotx,0x and the... Problem 30ES: The function cot1x is defined to be the inverse of the restricted cotangent function cotx,0x and the... Problem 31ES: Most scientific calculators have keys for the values of only sin1x,cos1x, and tan1x . The formulas... Problem 32ES: A camera is positioned x feet from the base of a missile launching pad (see the accompanying... Problem 33ES: The number of hours of daylight on a given day at a given point on the Earth’s surface depends on... Problem 34ES: An Earth-observing satellite has horizon sensors that can measure the angle shown in the... Problem 35ES: An airplane is flying at a constant height of 3000ft above water at a speed of 400ft/s . The pilot... Problem 36ES: Prove: (a) sin1x=sin1x (b) tan1x=tan1x . Problem 37ES: Prove: (a) cos1x=cos1x (b) sec1x=sec1x . Problem 38ES: Prove: (a) sin1x=tan1x1x2x1 (b) cos1x=2tan1x1x2x1 . Problem 39ES: Prove: tan1x+tan1y=tan1x+y1xy provided /2tan1x+tan1y/2 . Problem 40ES: Use the result in Exercise 39 to show that (a) tan112+tan113=/4 (b) 2tan113+tan117=/4 Problem 41ES: Use identities 7 and 10 to obtain identity 14 . Problem 42ES: Writing Let =tan13/4 and explain why the triangle in the accompanying figure may be used to evaluate... format_list_bulleted
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
