The diagram shows part of the curve and the tangent to the curve at P(9, 4). a.
Question:
The diagram shows part of the curve
and the tangent to the curve at P(9, 4).
a. Find the equation of the tangent to the curve at P.
b. Find the area of the shaded region. Give your answer correct to 3 significant figures.
Transcribed Image Text:
y = 5-√10-x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
a To find the equation of the tangent at P we need to find the slope of the tangent at P We can do t...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The diagram shows part of the curve and a point P(6, 5) lying on the curve. The line PQ intersects the x-axis at Q(8, 0). i. Show that PQ is a normal to the curve. ii. Find, showing all necessary...
-
The diagram shows part of the curve y = 5x x. The curve meets the x-axis at O and P. a. Find the coordinates of P. b. Find the volume obtained when the shaded region is rotated through 360 about the...
-
The diagram shows part of the curve y = ln(x + 1) ln x. The tangent to the curve at the point P(1, ln 2) meets the x-axis at A and the y-axis at B. The normal to the curve at P meets the x-axis at C...
-
FinCorp Inc. is exploring different portfolio allocations between two stocks. Complete the following table. Case1 Case 2 Case 3 Case 4 Case 5 $ invested in stock 1 $ invested in stock 2 Total $...
-
a. How would workers in the case have used the SDLC to make the changes described? b. Compare the "before" and "after" processes in the case you chose. How would you classify each one using CMM? c....
-
Refer to the Electrical Engineering (Vol. 95, 2013) study of the power quality (sags and swells) of a transformer, Exercise 2.76 (p. 86). For transformers built for heavy industry, the distribution...
-
Near the downstream end of a river spillway, a hydraulic jump often forms, as illustrated in Fig. P5.123 and Video V10.11. The velocity of the channel flow is reduced abruptly across the jump. Using...
-
The balance sheet for Fogelberg Company reports the following information on July 1, 2014. Fogelberg decides to redeem these bonds at 102 after paying annual interest. Prepare the journal entry to...
-
What is Consciousness? Examine a related theoretical construct - consciousness. The understanding of consciousness (what it is and how it occurs) has changed over time as neuroscience has advanced....
-
A curve y = f(x) has a stationary point at P(2, 13) and is such that f(x) = 2x 2 + 3x k, where k is a constant. a. Find the x-coordinate of the other stationary point, Q, on the curve y = f(x). b....
-
The diagram shows part of the curve The shaded area is rotated through 360 about the x-axis between x = 0 and x = p. Show that as p , the volume approaches the value 2. y = 2 2x+1
-
To create the following data we started with the same sample means and variances that appeared in problem 10 but increased the sample size to n = 25. a. Predict how the increase in sample size should...
-
Consider a T-bond maturing on December 31,2028 with coupon payments on December 31 and June 30 every year. Assume that the bond has $1000 par value, 4% coupon rate, and YTM = 5%. The bond is traded...
-
Aardvark Industries is planning a right offering to raise $200 million in new equity. Their stock price is currently $30 per share and they have 60 million shares outstanding. Aardvark has settled on...
-
JKL Company has a 34% tax rate. JKL's bonds presently carry a yield to maturity of 6.7%. Preferred stock pays a dividend of $6.50 per year and the price of preferred is $75 per share. The common...
-
If Acme Corporation issued $1,000,000 worth of 10-year, 9% coupon bonds payable on January 1 at $95 per $100 of face value, market interest rates were Select one: a. Less than 9% b. There is not...
-
A project has a NPV =$1,234.50,a discount rate =4%,and 5-year time period. What is the EAA for this project?
-
A perceived lack of integrity caused irreparable damage to both Andersen and Enron. How can you apply the principles learned in this case personally? Generate an example of how involvement in...
-
Suppose that a company has 10.000 outstanding shares in the beginning of the year. On April 1st, the company increases its shares by 6.000. On July 1st, the company increases its shares again, but...
-
1. Compare degree of pain while on Motrin with degree of pain on placebo during maximal activity? 2. Answer Problem 8.81 for degree of pain 12 hours following maximum activity? 3. Answer Problem 8.81...
-
Assess whether there are any outliers for full-scale IQ in the control group? Environmental Health, Pediatrics Refer to Figure 8.12 (p. 313) and Table 8.7 (p. 305). Figure 8.12: Stem-and-leaf and box...
-
Assess whether there are any outliers for full-scale IQ in the exposed group? Environmental Health, Pediatrics Refer to Figure 8.12 (p. 313) and Table 8.7 (p. 305). Figure 8.12: Stem-and-leaf and box...
-
What is the annual depreciation in year 7 of a retail building purchased for $30m with 60% allocated to structure, 8% allocated to five-year straight-line items, 12% allocated to fifteen-year items,...
-
Why is it important for the nursing professional to have theoretical mastery and knowledge of research results to address a problem in the professional area? Why is it important for the nursing...
-
According to the AHIMA recommended calculation, what is the duplicate record error rate for Broome Community hospital based on the following elements? Total individual records: 75,000 Confirmed...
Study smarter with the SolutionInn App