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Math
Calculus
ELEM LINEAR ALGB 12E AC\LL
Chapter 1.7, Problem 13ES
Chapter 1.7, Problem 13ES
BUY
ELEM LINEAR ALGB 12E AC\LL
12th Edition
ISBN:
9781119498889
Author: Anton
Publisher:
WILEY
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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
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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
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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...
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I forgot to mention to you to solve question 1 and 2. Can you solve it using all data that given in the pict i given and can you teach me about that.
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