The temperature in °C on the surface of a metal plate is given by T(x, y) = 20-4x - y, where x and y are measured in inches. a) In what direction from (2,-3) does the temperature increase most rapidly? What is this rate of increase? b) Provide a contour man and draw the

Q: graph of flx)= Inlx) concave down 7

A:

Q: (b) Find the points that touch the x axis of curve v = u? + pu + (n + 1). Where n=666. Also find the…

A: given the curve in u,v axis is as, v=u2+pu+n+1    where n=666

Q: 3) Find the z-coordinate(s) of the point (s) on the curve y = ³ + 6x² - 2x + 15 where the tangent…

A:

Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

A:

Q: A person's body mass index (BMI) is calculated with B (m, h) = m/ h2, where m is the mass of the…

A:

Q: The point P(-1, 3) is reflected in the line y = x, translated up 2 units, then dilated with a scale…

A: We are given the point P(-1, 3). Graphically: Then P(-1, 3) is reflected in the line y = x. We know…

Q: Find the equation of the tangent line to the graph of the function f(x) = v2x² + 1 at the point…

A: Given that: f(x)=2x2+1        at point (2, 3)

Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: The equation of motion of a body performing damped force vibration, Is given by t 5dx +6x = Cos t,…

A: Given DE is d2xdt2+5 dxdt+6x=cost also given conditions are x(0)=0.1 and x'0=0 solve the equation

Q: b) A racecar travels on the flat road and its motion is monitored. i) If the car is accelerating at…

A:

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: Here is a review question, do you remember how to find tangent lines? Find the equation for the…

A:

Q: at (1, 3). Find the slope of the tangent to the curve x° + 3xy + y° = The slope is

A:

Q: i.) Find the tquation of the tangent line to the curve y= 2+4x- x° at the point P(-1,-1)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The slope of the tangent line to a plane curve y=f(x) at the point (x,y) is given by 3 - 2 m=- + 16x…

A:

Q: Find the equation of pair of tangents drawn from point (4, 3) x²y² 16 9 to the hyperbola the…

A: The equation of pair of tangents drawn from a point (x1,y1)  to the hyperbola; x2a2-y2b2=1  is given…

Q: You will be graded on your written work as well as your answer. You and Austin start at the same…

A: a)From the question, after the time of dinosaur attack(t=0), you ran north at a speed of 3…

Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: 2) y= x45(x-4)² a) Find all points on the graph of the function where tangent Iline is…

A: