Handwritten 1. Evaluate the following: required (iv) A cosh (a + bx) Numerical (vi) E methods (v) A tan ar (vii) a'ae (viii) A tan

Q: 4) Find the mean and rms value of the voltage v given by the equation V=45sin(wt)

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Q: Differentiate the following functions using the quotient rule. a) You are given that f (x) a df dx…

A: The Power Rule:The Chain Rule:The Quotient Rule:

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Q: 7) Find cot x given : f(x)=- (simplify your answer) dx 1+csc(x)

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Q: Evaluate the following : e#/2 (a) sin(In 0) dê.

A: SOLUTION-

Q: x² 3 (x + 2)5 S dx

A: ∫un du = un+1n+1+C

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Q: It is estimated that 60% of emails are spam emails. Some software has been applied to filter these…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: e² tan (e²) b) dr I sec2 (e-) – 7

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Q: 8. If tan x = 3, the numerical value of vcscx is (A) 0.32 (B) 0,97 (C) 1.03 (D) 1.78 (E) 3.16

A: Given: tanx=3 we know that cosec2x=1+cot2x

Q: Use the substitution u = csc x- cot x to evaluate csc x dx (see ample 6).

A: We will evaluate the given integral by using substitution method as shown below

Q: B. Evaluate the following .5 |x² – x - 6| dx -5 1.

A: The question is determine the question is evaluate the definite integral. Note -  As per our…

Q: Find (a) sin(?) and cos(?), (b) tan(?) and cot(?), and (c) sec(?) and csc(?). Assume x = 7, y = 9.…

A: First we shall solve the given trianlge. Now we shall find the third side using pythagorus theorem.…

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: that sin (x) = 4/5 & pi/2 < x < pi, find the value of sin (2x)

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Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand

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A: Given: tanx=34 To find:  Value of cosecx Consider a triangle ABC right angled at B and measure of…

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.