Find the area between the curve y = 1/x7° and the x-axis from x = 1 to co. square units

Q: Find the total area between r = 4 sin(0) and r = 7 sin(40). %3D

A: Double integral is used to integrate the function of two variables over two-dimensional region.…

Q: The height above the ground of a rider on a Ferris wheel can be modeled by the sinusoidal function…

A: The height of a rider on a ferris wheel can be modelled by the sinusoidal regression function…

Q: Find dyldx by implicit differentiation (leave your answer in terms of x and y). cos x sin y = 0.75…

A: Consider the equation  cosxsiny=0.75

Q: V. Inverse Trigonometric Function sec? xdx 1. S V5-sec² x хах 2. S -7-8х-x2

A: Integration by Substitution: The given integral ∫fxdx can be transformed into another form by…

Q: Sketch exactly two full periods of y=-3/2 sin (x/2- pi/4). Indicate all the key points on the x-axis…

A: Given: y=-32 sin x2-π4 To sketch for two full periods.

Q: J17 cot"x dx

A: I=∫17cot4x.dxI=17∫cot4x.dx…

Q: dy in terr dx Use implicit differentiation to find

A: Given query is to find the derivative of the expression.

Q: 2- Solve the equation for x : Cosh x = Sinh x +1/2.

A: We need to find out the value of x. The given equation is Cosh x=Sinh x+12 Now,  Cosh x=ex+e-x2  and…

Q: Given the function f(x) – x² + tanx – 2x (Use radians]

A:

Q: Differentiate the given function. y=XV8X-5 y'= (Type an exact answer, using radicals as needed.)

A:

Q: coth 5.x dx = Select one: a. = = ln |sinh 5x| + C b. cosh¹2√x+1 "()+" c. sinh-1 ○ d. = d. =…

A: Step 1:Step 2: Step 3: Step 4:

Q: Integrate tan x from x = 0 to x = 1.32, then round your answer to the nearest thousandth (3 decimal…

A: We have to integrate tan x from x=0 to x=1.32.

Q: Find the x value of the stationary point of the function: sin (b) cos(b) where a = 1.67, b = 7 Give…

A:

Q: dy da

A: Implicit differentiation : when you have both terms x and y in an equation differentiating the…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.