AAa vDoThe curve with equation y = ax² + bx has a gradient of 5 at the point (2,-2)a) Find the values of a and b.b) Find the point on the curve at which the tangent is parallel to the line y = -tv

Answered: Image /qna-images/answer/d0f5d93b-15d5-4a64-9688-ac9fcc976a13.jpg

Answered: The curve with equation y = ax2 + bx…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

See similar textbooks

Similar questions

Find the (linear) equation of the tangent plane to the surface z=xsin(x+y) at the point (7,−7,0). Your answer should be in the form of an equation, e.g., something like ax+by+cz=d or a(x−x0)+b(y−y0)+c(z−z0)=0 would work. Equation: ____________
Find the (linear) equation of the tangent plane to the surface z=xexy at the point (7,0,7). Your answer should be in the form of an equation, e.g., something like ax+by+cz=d or a(x−x0)+b(y−y0)+c(z−z0)=0 would work. Equation:______________________
The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters. Find the direction from point P where the temperature increases most rapidly and this rate of increase. T(x, y) = 80 − 3x2 − y2, P(−1, 5)
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The tangent line approximation at any point for any linear equation is the linear equation itself.
using two appropriate coordinates, construct equations of tangent and normal for each coordinate when the gradient of tangent is 3
find the gradient of the function at the given point. Then sketch the gradient together with the level curve that passes through the point. ƒ(x, y) = tan-1 sqrt(x)/ y , (4, -2)
How many tangent lines to the curve y = x / (x + 5) pass through the point (1, 2)? At which points do these tangent lines touch the curve? Smaller x-value (x,y): Larger x-value (x,y):
6. A payload is launched from a plane at altitude 3000 meters with an initial horizontal and vertical velocity given by the vector m/s. Gravity pulls downward at 10 meters per second-squared. If the object encounters wind resistance proportional to velocity with , find the time and location from drop of the object's ground strike. [Use Excel to plot and estimate the time of impact.]
A particle moves in the xy− plane according to the law x=at, y=bt2, where a>0, b>0. Determine the particle’s trajectory y(x) and sketch its graph. Determine the speed of the particle as a function of time. Find the angle ϕ between the velocity vector and the x−axis.
The gradient of the tangent at any point on a curve is X_2y/X. The curve passes through the point (2,4). Find the equation of the curve
Calculate the gradient of the given function; evaluate the gradient of the function at the pointP, and calculate the directional derivative of the function in the direction of u.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

The curve with equation y = ax2 + bx has a gradient of 5 at the point (2,-2) %3D a) Find the values of a and b. b) Find the point on the curve at which the tangent is parallel to the line y = -÷+5 - 5