Use the intermeiate value theorem to show that the following equations has at least two distinct solutions. sec(x)=x^2+e^x-1

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Q: By using separable method ,solve 2. y cosx dx 2 + tan x %3D

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Q: A) By using simple Iterative method, find one root of the equation sin x = Use 3D. %3D (x2- In x)3

A: We have sinx=1x2-lnx3 Now, if we need to find a solution of fx=0 then we write fx=0 in the form x=gx…

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A: We know thatsinhθ=eθ-e-θ2coshθ=eθ+e-θ2

Q: Find the derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

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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…

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

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Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec = sec-1 27) y = -sin-1 (5x2 + 2) 28)…

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

A: To verify: The integration formula, Formula used:

Q: 3G)Ú) Show that the reduction formula for atanx で-u sec"x dx = Sec" 「キu ) Hence use tthe formula to…

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Q: Find a root of an equation f(x)=x3-x-1 using Newton Raphson method.

A: We will find out the required root.

Q: The maximum value of y = sin x, 0 &lt;= x &lt;= 2p, isand occurs at x =__________ .

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Q: Find the smallest positive root of the equation x-x-10 = 0 using Newton Raphson method correct to…

A: The equation is x4-x-10=0. That is, fx=x4-x-10. Find the value of f1 and f2.…

Q: Find the critical points/number of the function h(x) = e^x sinx-sinx+cosx by applying derivatives.

A: First calculate its derivate then equate it equal to 0 to obtain the critical points. h(x)=exsin…

Q: 1. | x cos x dx

A: 1 We have to evaluate the integral ∫xcosxdx. Use formula ∫fxgxdx=fx∫gxdx−∫dfxdx⋅∫gxdxdx Here, fx=x…

Q: Find the derivative of O 2sec 2x 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A: I have stated the used formulas in the solution

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

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Q: Show that sec x = (sin x / cos x) + (cos x / 1 + sin x), then use the identity to drive the basic…

A: (i)…

Q: Verify the integration formula. S 6 sechx dx = tan-1 (sinh 6x) + C (A) No B) Yes

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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 a root of an equation f(x) = cos(x) - − using Newton Raphson method

A: Let us start solving the problem step by step  Given  Cos(x)-(x/6)=0 Let f(x)= cos(x)-(x/6) We will…

Q: 1- Find the equation of the tangent to the curve y = 2 sinx+ cos2x at the point x n. 2- Find the…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: An object hangs from a string in a stable position and is represented by the function y = 4 sin (3x)…

A: NOTE:Use the form y= asin(bx−c)+d to find the variables used to find the amplitude, period, phase…

Q: a)  Use the hyperbolic identity sech^2(x)  = 1 - tanh^2(x)  to solve 4tanh^2 (x)  + sech^2(x)  =3…

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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 the smallest positive zero of f(x)=cos^2(x)-sin^2(x)

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Q: Find the second derivative of f (z) = 6 sin (5z). %3D Enclose arguments of functions in parentheses.…

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Q: Use Newton's method to find the second and third approximation of a root of 3sin(x)=x starting with…

A: Here 3sin(x)=x∴3sin(x)-x=0Let f(x)=3sin(x)-x ∴f′(x)=3cos(x)-1 x1=2 1st iteration…

Q: Find a real root for x tan x+1 = 0 using Newton Raphson method.

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Q: 2. Use the Intermediate Value Theorem to show that the equation sinx = x – 1 has at least one real…

A: In the question it is asked to calculate real solution of equation sinx = x-1. Also, it is asked to…

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Q: Apply Newton-Raphson method to determine a root of the equation cosx- xe^x correct to three decimal…

A: Let us consider an eqaution f(x)=0 with the initial point x0 to determine the roots of the equation…

Q: +2 dy x2 + sinx – y = 0 dx

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

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Q: 2. Use the identity of inverse hyperbolic function to solve cosh-(2 – a2) = ln 2, for |æ| < 1.

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Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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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' 2v3 At the…

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Q: At which points does f(x) = 2 sin x - cos 2x have an absolute maximum value and what is the maximum…

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Q: Find fif f'(0) = 2 sin 0-sec²0

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Q: Find the equation of the tangent line to f(x) 16e* cos2(x) at x 4 (Use symbolic notation and…

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Q: 2. f x cos² x dx

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Q: Show complete solution. Determine the slope of the tangent line to the graph of the equation ey =…

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Q: =sec (Xty)

A: dydx=secx+y  Let v=x+y  1+dydx=dvdx  dydx=dvdx-1  dvdx-1=secv dvdx=secv+1 dvsecv+1=dx