For function f(x, y) = sin-1(x2 + y2) critical points are found. Now a new graph g(x, y) is formed by coupling graphs f(x, y) and f(x, y) = sin-1(x2 + y2). What are the critical points of g(x, y).

Only positive (x, y) are critical points

Explore topic-wise MCQs in Engineering Mathematics.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.

Explore topic-wise MCQs in Engineering Mathematics.

What is the maximum value of the function f(x, y) = 3xy + 4x2y2 in the region?x=0; y=0; 2x + y = 2

Find the minimum value of the function f(x, y) = x2 + y2 +199 over the real domain.

The maximum value of the function is?f(x, y) = sin(x).cos(2y).cos(x + 2y) + sin(2y).cos(x + 2y).cos(x) in the region x=0; y=0; x+2y = 3

If the Hessian matrix of a function is zero then the critical point is?

What is the maximum value of the function f(x, y) = x2(1 + 3y) + x3 + y3 + y2(1 + 3x) + 2xy over the region x=0; y=0; x + y=1.

Consider the circular region x2 + y2 = 81, What is the maximum value of the function?f(x, y) = x6 + y2(3x4 + 1) + x2.(3y4 + 1) + y6

For function f(x, y) = sin-1(x2 + y2) critical points are found. Now a new graph g(x, y) is formed by coupling graphs f(x, y) and f(x, y) = sin-1(x2 + y2). What are the critical points of g(x, y).

Find the critical points of the function.f(x, y)= ( frac{sin^{-1}(y^2).(y^2+3y).(sin(y^6+7y))}{(y^9+y^{10})}+10x )

What is the maximum value of the function f(x, y) = 3xy + 4x²y² in the region?
x=0; y=0; 2x + y = 2

Find the minimum value of the function f(x, y) = x² + y² +199 over the real domain.

The maximum value of the function is?
f(x, y) = sin(x).cos(2y).cos(x + 2y) + sin(2y).cos(x + 2y).cos(x) in the region x=0; y=0; x+2y = 3

What is the maximum value of the function f(x, y) = x²(1 + 3y) + x³ + y³ + y²(1 + 3x) + 2xy over the region x=0; y=0; x + y=1.

Consider the circular region x² + y² = 81, What is the maximum value of the function?
f(x, y) = x⁶ + y²(3x⁴ + 1) + x².(3y⁴ + 1) + y⁶

For function f(x, y) = sin^-1(x² + y²) critical points are found. Now a new graph g(x, y) is formed by coupling graphs f(x, y) and f(x, y) = sin^-1(x² + y²). What are the critical points of g(x, y).

Find the critical points of the function.
f(x, y)= ( frac{sin^{-1}(y^2).(y^2+3y).(sin(y^6+7y))}{(y^9+y^{10})}+10x )