a Given that y 1 x 2 7, show that dy dx kx (x 2 7) 2 , and state the value of k b Hence finds 4x dx (x 7) ...

a To find dydx we can use the chain rule of differentiation Let u 1x so y u2 7 Then dydu 2u Using ...

a. Given that y = 1/x 2 7, show that dy/dx = kx/(x 2 7)

Question:

a. Given that y = 1/x² – 7, show that dy/dx = kx/(x² – 7)², and state the value of k.

b. Hence finds

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 06, 2021 01:20 AM

See More Questions

State the value of the padding field in SHA-512 if the length of the message is: a). 1919 bits, b). 1920 bits, c). 1921 bits.
The graph of is given. (a) State the value of g (2). (b) Why is one-to-one? (c) Estimate the value of g-1(2). (d) Estimate the domain of g-1. (e) Sketch the graph of g-1.
Given the system of Figure P7.8, design the value of K so that for an input of 100tu(t), there will be a 0.01 error in the steady state. R(s) K C(s) s(s + 2) 5s K FIGURE P7.8
Freddie and Jason have just opened the Texas Toothpick, a chain-saw sharpening and repair service located on Elm Street. The Texas Toothpick promises same-week repair service. Freddie and Jason are...
The percentage composition of acetaldehyde is 54.5% C, 9.2% H, and 36.3% O, and its molecular mass is 44 amu. Obtain the molecular formula of acetaldehyde.
Why are data flow diagrams developed in a hierarchy? What are the names of some levels in the hierarchy?
Penguins diving A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay under water.31 For all but the shallowest dives, there is a...
Flexible budget formulas and interpolation Required: 1. Using the facts and the flexible budget prepared in Part (1) of P7-7 above, determine the budgeted cost at 96% of capacity, using...
It would be a huge help if you could explain the steps of this problem through excel. Please include all of the formulas that were used. Thanks! Dean Consulting is considering purchasing two...
Figure shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is w. (-X* + 21X - L*X) 120 EIL Based on the above equation determine the...
a. Show that d/dx(x cos x) = cos x x sin x. b. Use your result from part a to evaluate the area of the shaded region. y = x sin x
The diagram shows part of the curve y = 3x x 3/2 and the lines y = 3x and 2y = 27 3x. The curve and the line y = 3x meet the x-axis at O and the curve and the line 2y = 27 3x meet the x-axis at A....
Describe a margin loan.
16. List I describes four systems, each with two particles A and B in relative motion as shown in figures. List II gives possible magnitude of their relative velocities (in m s) at time t = 3 S....
17. List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the...
1. 2 mol of Hg(g) is combusted in a fixed volume bomb calorimeter with excess of O2 at 298 K and 1 atm into HgO(s). During the reaction, temperature increases from 298.0 K to 312.8 K. If heat...
3. A solution is prepared by mixing 0.01 mol each of H2CO3, NaHCO3, Na2CO3, and NaOH in 100 mL of water. pH of the resulting solution is [Given: pk, and pKa2 of H2CO3 are 6.37 and 10.32,...
6. Consider the following reaction. LOH red phosphorous Br2 R (major product) Br On estimation of bromine in 1.00 g of R using Carius method, the amount of AgBr formed (in g) is [Given: Atomic mass...
Bajaj Ltd. reported the following statistics and results for 20X9: Net operating income............................................$54,000 Return on...
For the data in Exercise 17-19, use the FIFO method to summarize total costs to account for, and assign these costs to units completed and transferred out, and to units in ending work in process....
Figure 1.1 outlines the operations, finance/accounting, and marketing functions of three organizations. Prepare a chart similar to Figure 1.1 outlining the same functions for one of the following: a....
During 2017, Kent, a 40-year-old single taxpayer, reports the following items of income and expense: Income: Salary ..$150,000 Dividends from Alta Corporation .. 800 Interest income from a savings...
Sam owns a small apartment building (this is the only rental building Sam owns). During the year Sam incurs the following expenditures: Item Amount Replace roof and roof underlying structure because...
nformation pertaining to Noskey Corporation s sales revenue follows: November 2 0 2 1 ( Actual ) December 2 0 2 1 ( Budgeted ) January 2 0 2 2 ( Budgeted ) Cash sales $ 1 0 5 , 0 0 0 $ 1 1 5 , 0 0 0...
The management team of Netflix maintains a stable dividend using the Lintner model: Dt+1 = Dt + EPS Target Payout Where Dt (Dt+1) = dividend in the current period t (the next period t + 1) EPSt =...
#1 #2 hapter 50 10 D Werences lav Help Required information [The following information applies to the questions displayed below) Archer Company is a wholesaler of custom-built air-conditioning units...

a. Given that y = 1/x 2 7, show that dy/dx = kx/(x 2 7)

Question:

4x dx. (x² – 7)*

Step by Step Answer:

a To find dydx we can use the chain rule of differentiation Let u 1x so y u2 7 Then dydu 2u Using ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions