1.Find the derivative of the product between a scalar function and a vector function using the...

1.Find the derivative of the product between a scalar function and a vector function using the product formula.

2. Find the volume of an irregular solid using triple integration, the first integral should have at least one limit with variables.

3. Determine the moment of inertia of an irregular solid using triple integration. the first integral should have at least one limit with variables.

4. Find the angle between two lines using dot product. the two lines should not pass through zero.

5. Determine the work done (line integral) in a close path using two methods. The path should contain a curve and a line. the line should not pass through (0,0). The first method should be by using directly the formula F∙dr and the second method using Green's Theorem. Give your own vector field function F. F should be of the form <ax^myⁿ,ax^myⁿ>

6. Discuss a practical application of the cross product (vectors)

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

1.Find the derivative of the product between a scalar function and a vector function using the...

1.Find the derivative of the product between a scalar function and a vector function using the product formula. 2. Find the volume of an irregular solid using triple integration, the first integral should have at least one limit with variables. 3. Determine the moment of inertia of an irregular solid using triple integration. the first integral should have at least one limit with variables. 4. Find the angle between two lines using dot product. the two lines should not pass...

(a) Using the definition of the scalar product, find the angles between the following pairs of...

(a) Using the definition of the scalar product, find the angles between the following pairs of vectors. A = 2 i + 3 k and B = - 3 i - 3 j - 5 k ___° A = - 5 j and B = - 3 i - 4 j - k ___° A = 5 i + 5 j and B = 4 i + 4 j + 2 k ___° (b) For A =...

Find the derivative of the function.

Find the derivative \( f'(x) \) where \( f(x)=x^2 \).

A. Use the Product Rule or the Quotient Rule to find the derivative of the function....

A. Use the Product Rule or the Quotient Rule to find the derivative of the function. g(x) = x3 cot(x) + 6x cos(x) B. Use the Product Rule or the Quotient Rule to find the derivative of the function. f(x) = x2 + x − 7 x2 − 7 C. Use the Product Rule or the Quotient Rule to find the derivative of the function. f(x) = (8x2 + 4)(x2 − 6x − 9)

Take the derivative using the Product Rule and the Chain rule with a transcendental function. Function:...

Take the derivative using the Product Rule and the Chain rule with a transcendental function. Function: (x3lnx)5 Show your work in finding the derivative. Find the values where the function has a horizontal tangent using the derivative. Write the intervals where the function is increasing and decreasing.

Vectors in the plan. Define scalar product and explain the relationship between scalar product defined by...

Vectors in the plan. Define scalar product and explain the relationship between scalar product defined by coordinates respectively at lengths and angles between vectors. Significance of the scalar product sign. The determinant of a vector pair.

Find the derivative of the function below.

Find the derivative of the function below. Find the derivative of the function below.

A) Find the derivative of the function f by using the rules of differentiation. f(x) =...

A) Find the derivative of the function f by using the rules of differentiation. f(x) = 380 B)Find the derivative of the function f by using the rules of differentiation. f(x) = x0.8 C) Find the derivative of the function f by using the rules of differentiation. D)Find the derivative of the function. f(u) = 10 u E)Find the derivative of the function f by using the rules of differentiation. f(x) = 9x3 - 2x2 + 1 u u

Section 3.3 Product and Quotient Rules and Higher-Order Derivatives Find the derivative of the function ...

Section 3.3 Product and Quotient Rules and Higher-Order Derivatives Find the derivative of the function g(s)=√s(s^2+8) g(x)=√x sin⁡x f(x)=x^2/(2√x+1) f(t)=cos⁡t/t^3 y=sec⁡x/x f(x)=sin⁡x cos⁡x y=(2e^x)/(x^2+1) Find equation of the tangent line to the graph of the function f(x)=(x+3)/(x-3) at the point (4, 7) Find the equation of the tangent line to the graph of the function ??=24?3 at the point (1, 2).

-----Problem below----- Using the Lorenz gauge calculate the scalar and vector potentials generated by a point...

-----Problem below----- Using the Lorenz gauge calculate the scalar and vector potentials generated by a point charge moving along trajectory r_0 (t) and find electric and magnetic field generated by this particle.

Subjects