following function: 1 + 4+ sin a p(x)

Q: e algebraic form of the

A:

Q: Is (1-sin x) not the same as (sin x - 1)?

A: (x - y) is not same as (y - x), whereas  (x - y) = - (y - x)

Q: Differentiate the given sin (x² +1) 2 X

A: Sin(x2+1) To differentiate the given function

Q: Find f'x) usig the denivative rules, f (x) = 2 Sinx - COSX + tan X

A:

Q: sin( – x) = cos x = COS X

A: Given: To prove that sin(π2-x)=cos x

Q: Dat

A:

Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: Which inverse trig functions have restricted values from 0 to n? You must choose all correct to…

A: the range is all the values the inverse function of Trigo can take.

Q: tan0 Find the domain of the function f :0 → 2 sin 0 – 3cos0

A: We first simplify the functiontanθ2sinθ-3cosθ=sinθcosθ2sinθ-3cosθ=sinθcosθ(2sinθ-3cosθ)

Q: Is the function f(x)=sin(3x)+cos(tan x) even, odd, or neither? Why?

A: Recall: A function f(x) is even if  f(x) =f(-x). A function f(x) is odd if f(x)=-f(-x)

Q: Cos(10+x)

A: Here , We will apply the formula of Cos ( A+B) Cos(A+B) = [CosA CosB - SinA SinB ]

Q: V+1 Differentiate f (x) = with respect to x AND SIMPLIFY. You must use quotient rule. (2x+1)*

A: Detailed solution is given below.

Q: Find the local and absolute extreme values of the function f(x) = x + sin (2x) on the interval [0,…

A:

Q: 15. Write the equations of two different functions in the form f(x) = a sin[k (x - dᵒ)] + c and g(x)…

A: To write the equation of the given curve that model the function f in the form of f(x)=a…

Q: cosx -dx 5+ sin(x) 5.

A: Given: I=∫cosx5+sinxdx For evaluating given integral, we substitute sinx=t…

Q: cos(x) sin (x) dx 2 COS V1+ sin(x)

A: ∫cos(x) sin2(x)1+sin(x)dx

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.