Need help on 11 and 12 In Exercises 1-14 approximate the given number by using alinear approximation.1. V1013. V295. (28)4/32. V99.54. V176. 1/[1+ (1.0175)²]7. cos 27/138. cot 11T/369. sec 477/1710. tan 99T/10011. е0.113. In 1.112. e 0.12414. In 0.95

Consider fx=ex where a=0. fa=f0=e0=1. f'x=ex f'a=f'0=e0=1. Linear approximation at x=a,…

Answered: 1 and 12

Math

Calculus

1 and 12

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 21E

See similar textbooks

Related questions

Q: 2- The graphs of the function g and the line y- are shown in the figure above. The graphs intersect ...

Q: Use implicit differentiation to find dy for the following. dx 1. x2 - y2 = 4 2. x²y = y- 7 3. 3x3 + ...

A: "Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Use the shell and disk method to find the volume generated by rotating the region bounded by the giv...

Q: Using chain rule!

Q: Kepler's Third Law of planetary motion states that the square of the period T of a planet (the time ...

A: The time period of the planet taken to complete revolution about the sun is T. The distance of plane...

Q: How are the sine and cosine functions related to the other four trigonometric functions?

A: The sine and cosine functions are defined as sinθ=Opposite side Hypotenusecosθ=Adjacent side Hypoten...

Q: 113. Given a quadratic equation, what is the discriminant and what information does it provide about...

A: What is the discriminant and what information does it provide about the given quadratic equation.

Q: I need help with 3b

Q: Classify the functions as even, odd, or neither.

A: Given: f(x)=|x-2|

Q: Skll Practice 2 Multiply and simplify. (3y 4y +

A: 3y-6y2+4y+23

Q: Show all work to find the exact value of tan(a - 8) given the following conditions: 0 <a<: cos ß = 2...

Q: Assume that water is being purified by causing it to flow through a conical filter that has a height...

A: Below is the solution:-

Q: How can I find a simplified expression for X?

Q: The lengths of the edges of a cube are increasing at a rate of 9 ft/min. At what rate is the surface...

A: Total surface area of cube S = 6x2 Where x is length of the side of cube. we have given x = 19 ft. a...

Q: auate the line fu3xy)ds frond line Cis a to straight

Q: The Range of f(x) = V1-x is 1. [-1, 0) 2. (-, 1] 3. (-0,0) 4. [0, 0) 1 2

Q: Please Answer A and B in the Images Attached.

A: According to the problem, we have

Q: Given that y = 1.6−x, write an equivalent equation in the form y = bx, with 0 < b < 1 y =

A: Just note that a-m=1/am

Q: Use the method of completing the square to evaluate the integral. 2x + 1 dp- x + 2x+ 17

Q: By eliminating the given arbitrary functions, find PDE associated

A: Given function is z=Fxyz We have to find the PDE by elimination of the gives arbitrary function. Dif...

Q: Need help on 36 and 42

A: 36 ) Given The equation is 2x3-5x-3=0 on interval [1,2] . Formula :- newton Raphson method xn+1...

Q: Find the and simplify whenever possible. dx 5. y = (x + 1)2*

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: How do I get the correct answer? I’m suppose to choose a formula from that sheet

A: Given, ∫3-9x2dx

Q: Solve the differential equation: xy'-2x2y= y ln y

Q: Use logarithmic differentiation to find dy. D y = = pt-1 da

A: Simply take both sides log and differentiate with respect to x.

Q: Show all work to establish the identity: sin 0 sin 0-cos 0 1-cot 0 (Nothing is necessary to write be...

A: →Any simultaneous change in numerator and denominator does not change the value of term. e....

Q: 1- Test the convergence of the following series: 2n? >(-1)". n2 + 1 n=2

Q: Example 13:Write an Algorithm to evaluate the following equation: 1 1+2 1+2 + 3 Y =-+ 2A 1+2 +3 + 4 ...

A: Answer

Q: Find an equation of the line that satisfies the given conditions. Through (−2, 3) and (−1, −6)

A: Equation of a line

Q: 57. y = sin(1+ x³), x = – 3

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other que...

Q: Determine all critical points for the function. f(x) = x 3 - 12x -2

Q: dy given the following equations. dr Use implicit differentiation to compute (a) y -r = 1y (b) e = e...

A: To find the dy/dx of the functions

Q: Write the first five terms of the sequence. Assume that d represents the common difference of an ari...

A: Given-an=-1n+1nn-1! To write- Write the first five terms of the sequence.

Q: Find an equation in slope-intercept form for line Through (-8, 1), with undefined slope

A: The slope intercept form of general line equation is of the form y=mx+c . Here m stands for slope a...

Q: explain why the limits do not exist. lim (x approaches 0) x/|x|

Q: Prove that lim,→3 3x – 7 = 2 by using e, d definition of limit.

Q: Find the derivative of the function. y=-6(8x+8)-6 dy/dx=

Q: Is the point (-2, 12) on the graph of the function f (x) = x(5 + x)(4 - x)?

A: we have to determine: is the point (-2, 12) on the graph of the function fx=x5+x4-x

Q: Sketch a graph of an even function f and state how f1x2 and f1-x2 are related.

A: If f(x) is even function then f(-x)=f(x) Graph of even function is symmetric about y-axis. Function...

Q: Determine whether statement is true or false, and explain why. The line that intersects the points (...

A: To check whether the line intersecting point (4,6) and (5,6) is a horizontal line.

Q: Skll Practice 1 a. Write the set represented by the graph in interval mctation and -2-i o i 23is set...

A: Solution: (a) Consider the given figure and given data: The interval notation of the given set is x∈...

Q: Consider the region R bounded by the graph of f(x) = vx +4 on the interval [0,3]. a. Find the volume...

A: Given f(x)=√(x²+4) on interval [0,3] To find the (a) volume when revolved around x-axis (b) volume w...

Q: Find the domain and range of the following function f(x) = |x| – 2 %3D

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. tan x y = ...

Q: I'm having trouble with Implicit Differentiation. I don't know what to do here: If √x+√y = 8 and y(1...

A: Explanation and solutions is given below....

Q: graph each function using the techniques of shifting, compressing, stretching, and/or reflecting. St...

A: Consider the given function as gx=42x

Q: Find the area of the rogion baunded by the Curue f(x)=x²-4x +3 and the tve Qxis

A: The curve equation is fx=x2-4x+3 To find area bounded by curve and positive x axis

Q: (b) Consider the vector-valued function r(t) = t 2 i + (t − 3)j + tk. Write a vector-valued function...

A: Given: Consider the vector-valued function r(t) = t^2 i + (t − 3)j + tk.

Q: Graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the Bi...

A: Sketch the given functions as shown below.

Q: dy/dx = x cube root of 1-x^2 over 2y square root of 1-y^2. Given y=1 when x=0

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Need help on 11 and 12

In Exercises 1-14 approximate the given number by using a
linear approximation.
1. V101
3. V29
5. (28)4/3
2. V99.5
4. V17
6. 1/[1+ (1.0175)²]
7. cos 27/13
8. cot 11T/36
9. sec 477/17
10. tan 99T/100
11. е0.1
13. In 1.1
12. e 0.124
14. In 0.95

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Use Newton's method to find the second and third approximation of a root of 3sin(x)=x starting with x1=2 as the initial approximation.
3) Find the Frenet (TNB) frame for the function at the point (2, 5?, 0). Hint: once you find ? and ?, you can plug in ? before finding ? since it doesn’t involve taking a derivative! ?(?) = 〈−2 cos(3?) , 5?, 2 sin(3?)〉
Use Newton's method with initial guess x1 = 1 to compute two successive approximations of the irrational number (square root of 3).
Use Simpson's 3/8 rule to compute the approximated solution where f (x) = 1/Cosx + 4 defined at the interval (1,4.5) and n = 7
Compute cosh x and tanh x, assuming that sinh x = 0.8.
Use Newton's method with initial guess x0 = 1 to compute two successful approximations of x3-2= 0.
1. Estimate the root of the expression, f(x) = x² – cos x, using: b. False Position Method in the interval [-1,0] with error tolerance of 0.0001%
The number z = −2 + 2i has modulus |z| = 2√2 and argument arg z =(5/4)π. But I have no earthly idea how they get arg z?, I know its with tangent, but how do you do this by hand, without a calculator?
solve part (b) using Green's Theorm
Find the value of u in the interval 30°, 90°4 in decimal degrees, if sin u = 0.27843196. Give the answer to six decimal places.
How did you get from 1+cos2x to 1+cos2x-sin2x? How did you get from 4cos(x/2) to -2(1+cosx)? How did you get from 1+cosx-since to 2cos2x?Does the tangent x cancel itself out? What does the last step say? I can’t read it
Use Newton’s method to approximate the 4√22 correct to six decimal places