Sketch the graph and show all local extrema and inflection points. y =x - sin x, 0 sx s27

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

Q: Y==(x+1) tant x- Ans:

A: Evaluate it.    1xdydx=tan-1x

Q: The level curves of the function f (x, y) = x² + y² are circles

A: Since f(x,y)=x2+y2 is a function of circles

Q: didfferential equation of tangents to x¯ = 4y

A: Solution is given as below:

Q: What is the y-value for the function y = tan x if x =- ? 117 4

A: Explanation of the answer is as follows

Q: Evaluate dx. xVx* +1

A:

Q: If y =x°, find y (4). The y (4) is Blank 1. Blank 1 Add your answer

A:

Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: Differentiate the function. 이 y=(3x-2) (4-x)4 dy 口 dx

A: To differentiate the following function.

Q: 5. Find dªy dx²: y=cscx csc x cotx csc r cot x csc x cot² x - csc x csc x cot² x + csc³ x

A:

Q: sec²x dx V 5 - sec2x

A: Given that the integral  I = ∫sec2x5-sec2xdx let sec2 x = tan2x + 1 I = ∫sec2x5-tan2x+1dxI =…

Q: 히 dy Find dx • for the function y = 5X. 히 dx

A:

Q: Review: A point of (2, 5) is translated 2 units right, 4 units up then reflected across thex axis…

A: Consider the given information. x,y=2,5 First the point is translated to 2 units right.

Q: sec? x 4 TT dx- Evaluate 1-tan x O 1 O-2 O 2 O-1

A:

Q: 5. xedy + x²+1 dx 0 %3D y 6. dz - (4x3 - 4x³z+x³z²)dx + (4y – 1)(2 – z)²dy

A: Given 5. xeydy+x2+1ydx=06. dz-(4x3-4x3z+x3z2)dx+(4y-1)(2-z)2dy

Q: 1 f (x, y) = x2 + 2y2"

A:

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.