sin (8t) sin (t) 4. Apply the change of scale property to find C 2t use L = arctan

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A: ka

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A: This is the simple derivative problem where d/dx (sinx)= cosx is used

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A: Given :     H(y) = cos y - sin y

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A:

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A:

Q: QI/ sin x a) find dy/dx for the equation (y 1+cos x b) find f'(x) for the equation f(x) = sec x

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Q: dy -1 Find for y tan-(3x) dx Ans= Check Answer

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Q: (V9- x2 dx using Trigonometric Substitution what is dx ? x2 Consider 3 cos e de 3 sec e tan 0 de 3…

A:

Q: tan-1 (xy)=3x2+sin-1(y) find dy/dx  this is the correct question sorry.

A: To find: the derivative of the below equation.

Q: dy There is no need to simplify. dx 2. Find cos-(sin x) – sech(tan-1 x) ecosh z a. y=

A:

Q: A particle moves along a linear path and its displacement, relative to the start, is modeled by the…

A: In 2pi/3 seconds. displacement of the particle will be

Q: Using n =8 approximate the value of cos (1+ V )dx using (a) the Midpoint Rule, (b) the Trapezoid…

A:

Q: 4 CX ) = (T-X) く) Xスズ find The half e Range sine ond cosine servies k1コ

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Q: 2e'cos (t) d t In(x)

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Q: f cot x dx Select one: a. In sina+c + c + c + c O b. In sec x oc. In csc r od. In cos x

A: cotx = cosx/sinx

Q: fip Find or y' of the following functions and make any obvious simplifications: dx a. Y = arctan(e")…

A: Find derivative of the following using the properties of the derivatives

Q: Which of the following shows finding the area of an area outside the curve Y- 36 sin (20) and within…

A: Please see the attachment

Q: dy in the expression dx Determine A. sech xy = sinh xy -1 ху — sec ху

A: (A). sech(xy)=sinh-1(xy)-sec(xy) Now differentiate this equation with respect to x:

Q: d 75. Proof of (cos x) = - sin x Use the definition of the dx derivative and the trigonometric…

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Q: find the derivative of y= ln | sinx |

A: Given,

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Q: 3 T lavi cos x + sin x %3D

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Q: cos x 4. Compute the integral 1+(sin x)? Hint: u-substitution

A: the given expression is: ∫0π2cosx1+sinx2dx let the given integral be I. therefore,…

Q: Sove using variaton of parameters or reduction of order (D²+1)y = tan?x

A: please see the image attached below

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A: To find the arc length of the graph of the function over the given interval :- y = ln x, [1, 5].…

Q: Let x = 0.1 and y = 4.73. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal digit)…

A: C=3.61 I have done solution step by step in detail....go through the solution

Q: For the function y=5•sin +T-5, determine the properties 7 Amplitude: Period: Phase shift: Vertical…

A: Given function:-       y = 5.sinπx7+π-5

Q: H(x) = sin(esinh~1 *) %3D

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Q: e* +e* cosh(x) = cosh(0) = ? 33- e* -e sinh(x) = → sinh(0) = ? 2

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Q: The displacement from equilibrium of an object in harmonic motion on the end of a spring is given…

A: Position of object at time t is given by the function: y(t)=16cos(3t)-14sin(3t)

Q: d The derivative of the sine function is the cosine function: d (sin x) = cos x

A: We will use the definition (the first principle) of derivatives to find the derivative of sin(x)…

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A: Hyperbolic function

Q: Let x = 0.17 and y = 1.76. Determine the value of C when you evaluate |tan-1(2x)dx. (Use 2 decimal…

A: This question can be solved using the concept of ILATE.

Q: x²–1 Using a trigonometric substitution, the integral - dx becomes: Select one: [sec'e de tan*e O…

A: Here I am attaching image so that you understand each and every step.

Q: 1. Given : R]- 1 T] = Cos- Sin0 Sin20 2sine coso Cos -2sinocose -sint cost Sine cose Cos-Sin - T…

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Q: V3 27 sin -1 x dx 0.

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Q: Let x = 0.43 and y = 0.43. Determine the value of C when you evaluate tan-(2x)dx (Use 2 decimal…

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Q: see attachment

A: Factor out 2.

Q: 5. x = A sin (at + B); w a parameter, not to be eliminated.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (cos(t) + sin(t)) – (cos(t) – sin(t))² - - Simplify to 2 sec(t)sin(2t) a single trig function

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Q: d -sin 6 if0 is given as dx What modifications would have to be made to find the derivative an angle…

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Q: 5. x = A sin (wt + B); w a parameter, not to be eliminated.

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Q: find the Horizontal and Vertical Tangent Line of r=3-2 cos theta

A: Given r=3-2cosθ

Q: er a function y = g(x) whose curve is given by the equat dy dx y Cos x 1ow that: 4y-sin x rite an…

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Q: 'y=sin²t+tant, x= – In(- cost) - e sinr, find the value of y when t=". 4

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Q: L {sinh(at) – sin(at)} (s4+a) 2(s a) 2(s4+at) (st

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Q: Traffic flow is defined as the rate at which cars pass through an intersection, measured in cars per…

A: Given:-Traffic flow function,F(t)=82+4sint2where,F(t) is measured in car per minutet is measured in…

Q: 4. y = 5/(sin3x +cos3x)

A:

Q: Calculate the higher derivatives. y = 7e¹ sin(t) (Use symbolic notation and fractions where needed.)…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.