Question: A curve has the equation y = 2x 2 sin x. Show that the equation of the normal to the curve at the point

A curve has the equation y = 2x² − sin x. Show that the equation of the normal to the curve at the point with x-coordinate π is x + (4π + 1)y − π(8π²+ 2π + 1) = 0.

Step by Step Solution

★★★★★

3.38 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

dy 4x cos x dx At x y 2 dy dx 4T G... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Pearson Edexcel A Level Mathematics Questions!

Calculate the heat loss for a top-floor apartment and an apartment that is below the top floor, using the apartment building in Appendix A. Assume the apartment will be built at the geographical...

Show that the acceleration of any object down a frictionless incline that makes an angle with the horizontal is a = g sin . 5 43 2 8 6 4 2 0

Solve each system. If a system is inconsistent or has dependent equations, say so. 4x + y + z = 11 2 x-y-z = 4 y + 2z = 0

In Problems 4960, use a calculator to solve each equation on the interval 0

Patterns of Data in Scatter Diagram Linearity refers to whether a data pattern is linear (straight) or nonlinear (curved) 25 25 20 20 15 15 10 11 S 11 11...

Kindly please digitalized the answer Patterns of Data in Scatter Diagram Linearity refers to whether a data pattern is linear (straight) or nonlinear (curved) 25 25 20 20 15 15 10 11 S 11 11...

Kindly please digitalized it, thank u. Patterns of Data in Scatter Diagram Linearity refers to whether a data pattern is linear (straight) or nonlinear (curved) 25 25 20 20 15 15 10 11 S 11 11...

10. If f (x) = tan (3x), then f' (=) = 11. Let f (x) = 2esx and g(x) = 5x3. At what value of x do the graphs of f and g have a) 4/3 c) 12 parallel tangent lines? b ) 4 d) 6V/3 a) -0.445 c) -0.251 b)...

1. Find " for y = 4 sin?(3x). 2. What is the equation of the tangent to f(x) = 3x - 5 cos(2x) at x = 0? a) 8 sin(3x) c) 12 sin(3x) cos(3x) b) 24 sin (3x) d) 24 sin(3x) cos(3x) a) y = -5x - 3 c) y =...

some easy calculus 1, questions \f(1 point) For what values of x in [0, 271'] does the graph of f(x) = x + 2 sin x have a horizontal tangent? List the values of x below. Separate multiple values with...

buckley (jdb4687) - HW06 - beshaj - (53521) This print-out should have 32 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001 003 2...

A particle of mass m is shot with an initial velocity vi making an angle θ with the horizontal as shown in Figure P11.17. The particle moves in the gravitational field of the Earth. Find the...

Analyzing changes in inventory and accounts payable. Ericsson, a Swedish firm specializing in communication networks, reported a balance in Inventories of SEK21,470 million at the beginning of 2007...

SUA case: All purchase orders should be posted on Accounts Payable subsidiary ledgers. Multiple Choice False True

Discuss the claim: If the sample size is not large enough for validating the model assumptions, then it is not large enough for reliable inference.

What does the variable Î² 1 mean in the 2nd logistic regression (Table 13.63)? How does it differ from the meaning of Î² 1 in the 1st logistic regression (Table 13.62)? Two...

Estimate the OR for the association between age at menarche and ovarian cancer after controlling for race, and provide a 95% CI about this estimate? Two logistic models were run with Stata Version 11...

For both Caucasians and African Americans (seperately), estimate the OR between late age at menarche (¥12) and ovarian cancer risk and provide a 95% CI about these estimate? Cancer Results from a...

Hosmer Company completed 312,000 units during the year at a cost of $7,800,000. The beginning finished goods inventory was 22,000 units at $440,000. Determine the cost of goods sold for 325,000...

The authority structure of a corporation would show the board of directors delegating to the stockholders. president delegating to the board of directors. chief financial officer delegating to the...

The Krug Company collected $6,000 rent in advance on November 1, debiting Cash and crediting Unearned Rent Revenue. The tenant was paying one years rent in advance and occupancy began November 1.