A straight line L passes through the point (1, 0) and has gradient m. a) Write down
Question:
A straight line L passes through the point (1, 0) and has gradient m.
a) Write down the equation of the line. The line L is a tangent to the curve y = x² + 2x − 3.
b) Find the value of m.
The line L passes through the point (−2, k).
c) Find the value of k.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
a The gradient of the curve y x 2x 3 at a point x is given by the d...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
Suppose a platform tries to recommend the best movie ton Ann and Ben. Movie 1's quality is uniformly distributed from 0 ton 1. Movie 2's quality is uniformly distributed from 0.5 to 1. n Suppose the...
-
The equation (deterministic) for a straight line is y = 0 + 1x If the line passes through the point 1 -2, 42, then x = -2, y = 4 must satisfy the equation; that is, 4 = 0 + 1(-2) Similarly, if the...
-
The stresses on two mutually perpendicular planes through a point in a body are 80 MPa and 50 Mpa both tensile. Determine the maximum value of the shear stress which can be applied so that the...
-
At December 31, 2018, Landy Products has cash of $24,000, receivables of $18,000, and inventory of $80,000. The companys equipment totals $182,000. Landy owes accounts payable of $22,000 and...
-
(a) Draw a scatter diagram of the data, (b) By hand, compute the correlation coefï¬cient, and (c) Determine whether there is a linear relation between x and y. y 48 10 13 20
-
Abandonment Decision for some projects, it may be advantageous to terminate the project early. For example, if a project is losing money, you might be able to reduce your losses by scrapping out the...
-
The 2014-T6 aluminum rod \(B C\) has a diameter of 2 in. If it is pin connected at its ends, determine the maximum allowable load \(P\) that can be applied to the frame. Use a factor of safety with...
-
The Cleveland Historical Society issues $40 million of 6 percent, 15-year bonds at a price of $36,321,000 to nance the construction of a new museum. The price reects an annual yield of 7.0 percent....
-
The fully-loaded tractor-trailer drives up a 3% incline at a steady speed of 70 km/h (45 mph). The frontal area of the tractor-trailer is 2.59 m (102 in.) wide and 4.11 m (13.5 ft) high, and it is...
-
The speed control of a high-speed train is represented by the system shown in Figure AP5.4 [17]. Determine the equation for steady-state error for K for a unit step input r(t). Consider the three...
-
The diagram shows triangle PQR with PQ perpendicular to QR. P is the point (6,5), Q is the point (2, 10), and R is the point (8, y). Find the value of y. R(-8, y) yi 0 Q(2, 10) P(6,5) X
-
A circle with equation x + (y k) = 10 passes through the point (3, 5). Determine the two possible values of k.
-
In Exercises, find a basis for the span of the given vectors. a. b. 011 101 011 120
-
True Or False Punitive damages can be for intentional and unintentional torts.
-
True Or False Direct causation holds defendants liable for the consequences arising from their actions that are unforeseeable.
-
Under the Learned Hand formula, a defendant is liable: a. if the burden of precaution outweighs the gravity of harm multiplied by the likelihood of harm. b. if the likelihood of harm times the...
-
True Or False Loss of consortium is available to spouses but not to parents or children.
-
____________ ____________ ____________ damages must be specially pleaded in a complaint.
-
Tetraphosphorus trisulfide, P4S3, burns in excess oxygen to give tetraphosphorus decoxide, P4O10, and sulfur dioxide, SO2. Suppose you have measured the enthalpy change for this reaction. How could...
-
When you weigh yourself on good old terra firma (solid ground), your weight is 142 lb. In an elevator your apparent weight is 121 lb. What are the direction and magnitude of the elevator's...
-
Answer Problem 4.80 for a binomial distribution with parameters n = 10 and p = .95. Compare your results with Figure 4.5(b). Figure 4.5(b): (b) n = 10, p = .95 SIMULATION An attractive feature of...
-
Answer Problem 4.80 for a binomial distribution with parameters n = 10 and p = .5. Compare your results with Figure 4.5(c). Figure 4.5(c): (c) n = 10, p = .50 SIMULATION An attractive feature of...
-
What is the probability that there will be at least 5 intermediate cells by age 21? Cancer The two-stage model of carcinogenesis is based on the premise that for a cancer to develop, a normal cell...
-
A dwarf planet orbits the Sun at a radius of 7.45*10^14 m. It has a mass of 7.84*10^22 kg. What is the gravitational force between this body and the sun as it orbits? The sun has a mass of 1.92 x 10...
-
A spherical bowling ball with mass m = 3.7 kg and radius R = 0.102 m is thrown down the lane with an initial speed of v = 8.8 m/s. The coefficient of kinetic friction between the sliding ball and the...
-
A. When a 50.0 kg skier (initially at rest) skis down a ramp located on Mars (where the acceleration due to gravity is 3.711 m/s2) from a vertical height of 2.00 m, she attains a speed of 3.00 m/s. -...
Study smarter with the SolutionInn App