Show that an equation of the tangent to c at p

Assignment Help Algebra
Reference no: EM131019772

The curve C has equation

y = arsinh (x3),                   x ≥ 0.

The point P on C has x-coordinate √2.

(a) Show that an equation of the tangent to C at P is

y = 2x - 2 √2 + In(3+ 2√2).

The tangent to C at the point Q is parallel to the tangent to Cat P.

(b) Find the x-coordinate of Q, giving your answer to 2 decimal places.

Reference no: EM131019772

Questions Cloud

Difference in energy between state c and state d : The diagram shows four states of a system, each with different internal energy, E. Which of the states of the system has the greatest internal energy?
How many shovels are sold in coldsville : Citizens in Coldsville are only allowed to use snow shovels produced in Coldsville.  Firms which produce shovels in Coldsville are not allowed to sell shovels except in Coldsville. How many shovels are sold in Coldsville
Status of the employee was employment-at-will : Which laws and factors (constitutional protections, disparate treatment, affirmative action, equal opportunity, etc.) would you consider in your evaluation? Why did you select these?
Is the sign of w indicated by change positive or negative : In the accompanying cylinder diagram a chemical process occurs at constant temperature and pressure. Is the sign of w indicated by this change positive or negative?
Show that an equation of the tangent to c at p : Show that an equation of the tangent to C at P is y = 2x - 2 √2 + In(3+ 2√2). The tangent to C at the point Q is parallel to the tangent to Cat P.
Determine three reasons why strategic plans fail : Determine three reasons why strategic plans fail. Recommend a strategy to overcome each of the reasons you identified and include concepts from the weekly reading.#question..
What is the sign of q associated with each change : If the contents of the container are the system and heat is able to flow through the container walls, what qualitative changes will occur in the temperatures of the system and in its surroundings? What is the sign of q associated with each change?..
Determine two fundamental differences between the concepts : Analyze the concepts of strategic planning and strategic management. Determine two fundamental differences between the concepts that you have analyzed, and provide one example of strategic management and one example of strategic planning as they r..
Indicate the equations of any asymptotes : On each sketch you should indicate the equations of any asymptotes and the coordinates, in terms of b, of any intersections with the axes.

Reviews

Write a Review

 

Algebra Questions & Answers

  Solving the equation

solving the equation

  Algebra-simple interest account

Gina wants to invest a total of $30000 into two savings accounts, one paying 6% per year and the other paying 9% per year (more riskier) in interest.

  How many girls attended the first session of swimming

Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls.

  Solve the inequality

Solve the inequality

  Simplify the following inequality

Simplify the following inequality.

  Cross-multiplication and inequalities

Please explain to me,What is the inherent meaning and justification of cross-multiplication as it applies to solving an inequality?

  What is a rational exponent

What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression.

  Write down the slope intercept form of an equation of the

write the slope intercept form of an equation of the line that passes through the given point and is parallel to the

  Find the missing coordinate to complete the ordered pair

Solve for y. y-3=-49x b) Find the missing coordinate to complete the ordered pair

  Assessing honesty of test taker

A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you are interested in the mean score, mu, on this subsection among the general population.

  Value in quartic equation

To solve the quartic equation, one of the approaches is to seek squares on both sides. For example, to find x, in ax^4+bx^2+cx=d.

  Computing continuous compounding

Suppose $1000000.00 will be recieved after 25 years. Find the value 5 years from now (t=5), V(5), assuming continuous compounding at the rate

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd