c) The equation of a curve is y = V5x+4 i. Calculate the gradient of the curve at the point where x = 1 ii. A point with coordinates (x,y) moves along the curve in such a way that the rate of increase of x has the constant value 0.03 units per second. Find the rate of increase of y ath the instant when x = 1. iii. Find the area enclosed by the curve, the x – axis, the y – axis and the line y = 1.

Q: dy b) Find the equation of a curve if gradient of the curve at point (x, y) is given by- = 2x3 + x…

A: We have to solve the problem

Q: 1.) a function f f (x,y, 2) = 2-eªsing is given. of this function p= ((n 3, 31,-3) at the point what…

A:

Q: a. What is the gradient at the point (4,0,1)?

A: Consider the given function fx,y,z=x2+y2+2z2+3.  The gradient of a function is given by,…

Q: Consider the function f(x, y, z) = xy+yz² + xz*. Find the gradient of f: • x+z? 2yz +3z²x Find the…

A:

Q: Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the…

A: We have to compute V for i=0.1 using Newton's divided difference method.

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: Suppose the elevation z above a point (x, y) in a horizontal xy- plane at sea level is z = 5cos…

A: Given that z= 5cos(0.01(x2+y2)) meters.

Q: 9. Determine an expression for the gradient of f =Y x+y

A:

Q: If =4xy, find x and y components of the velocity at (1,4)  and (4,4). Calculate the discharge…

A: Given that, ϕx,y=4xy    ...1. Let the points be, x1,y1=1,4 and x2,y2=4,4. Consider the velocity…

Q: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

Q: Find the gradient of f (x, y) = 2xy² – 3x°y.

A:

Q: 24=y cotx

A: Given differential equation is 2y'=ycotx.......1. We have to find the general solution of the given…

Q: Define f (x,y) = 3y √1+x² a. Find the rate of change of f at the point (-1, 1) along the direction .…

A:

Q: Describe the level curves of f(x, y) = x + 2y Sketch the level curves for c = ±1, ±2, ±3, ±4.

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.