The function r'e- sin(7x) is annihilated by the operator

Q: Find the linearization of ƒ(x) = √(x + 1) + sin x at x = 0. How is it related to the individual…

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Q: Describe the method used to integrate sin" x cos" x, for m even and n odd.

A: The method to integrate sinm x cosn x when m is even and n is odd. We integrate by substituting the…

Q: The linear approximation at x 0 to sin(2x) is A + Bx

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Q: Find y" by implicit differentiation. x² + 5y2 = 5 %3D

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Q: Find all critical points of the function: R(θ) = cos θ + sin2 θ

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Find the Equation of tangent line of the function f(x) = 1 + csc(x) – /cos(x) 2n 4+V3 23 At the…

A: Consider the provided function, fx=1+cscx-cosx and the given point 2π3,4+323. Find the equation of…

Q: 2. Evaluate the integral / sin'at dt

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Q: Integrate: So a sin(x²) dx

A: We have to integrate

Q: Consider the function y = sinh 2x + 1. Which ?one is a critical number of this function

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Q: determine the annihilator of the givenfunction F(x) = sin4 x.

A: We have given function; F(x) = sin4 x.

Q: Find the derivative of the function. rcos(x) y = In(1+2t)dt sin(x)

A: Applying Leibniz rule

Q: If y = √√1-x² sin¹¹x, prove that (1-x²)+xy=1-x². dx

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Q: Find the family of antiderivatives of f(x) = sin 3x.

A: Given that f(x)=sin3x      ...(1)

Q: Find by implicit differentiation for x2+y2=25 at point P(0,5).

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Q: Verify the integration formulas ∫sech x dx = tan-1 (sinh x) + C

A: To evaluate ∫sech x dx

Q: Find cosh² (t) sinh5 (t) dt.

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Q: y" + 2y' = sin 2x ||

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Q: The general antiderivative determined by - x² - 3x +2 is dx

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Q: x'dx √√x(1-x)

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Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: find integral sec 3 x dx

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Q: Find the most general antiderivative of the function. f(x) = 5 cosx-7 sinx

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Q: Verify the formulas by differentiation. ∫1/(x + 1)2 dx = -1/x + 1 + C

A: Here f(x)=1x+12we have to verify that ∫1x+12 dx=-1x+1+C∫f(x) dx=∫1x+12 dxsubstitute…

Q: Verify the differentiation formula.

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Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – cos(x) 2n 4+v3 3' 23 At the…

A: Answer

Q: find dy / dx by implicit differentiation.

A: Implicit differentiation is performed when the dependent variable cannot be explicitly written as a…

Q: at æ = 0 for 12 sin(t)dt.

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Q: Verify the formulas by differentiation. ∫ 1/x + 1 dx = ln | x + 1 | + C, x ≠ -1

A: We have to verify by formulas of differentiation where expression is given as: ∫1x+1dx=lnx+1+C, x≠-1…

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: F( x) dx 2x sin

A: Definite Integration

Q: Find the value of the definite integral: 4x dx -2

A: ∫-254x3 dx

Q: Let the domain of the function f(x) = log4 (log, (log3(18x – x² – 77))) be (a, b). Then the value of…

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Q: Find the linearization of ƒ(x) = sqrt(x + 1) + sin x at x = 0. How is it related to the individual…

A: To determine the linearization of the function at x=0.

Q: 23-4z2-2一4 y = %3D 1+ Va

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Q: The value of function f(x) = sin x (1 + cos x) is maximum when x is equal to

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Q: find the most general antiderivative of f(x)= 2x^3 - sinx + 4e^x

A: We find the integral of f(x)= 2x^3 - sinx + 4e^x We separate the integral first.

Q: Find dy/dx by implicit differentiation. sin x + 2 cos 2y = 1

A: the given implicit function is: sinx+2cos2y=1 we have to find dydx by implicit differentiation

Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

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Q: Find the linearization of ƒ(x) = sqrt(1 + x) + sin x - 0.5 at x = 0

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Q: Find the equation of the line tangent to f(x) = cos² x – sin²| %3D at x = 6

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Q: f(x csc² 2x - x cos 2x)dx

A: The given integral is ∫xcsc22x-xcos2xdx. The objective is to solve the given integral. Following…

Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given: y'=2y-2x2-3, y(0)=2, h=0.3. The objective is to evaluate y(3) by using Euler's method. The…

Q: Verify the differentiation formula.

A:

Q: Find the interval in which function f(x) =sin (logex)+cos(logex) is decreasing

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: