Prove that if æ - Exp (A), then E (x) = X. 2~

Q: if f(x)=ln(1+cosx) then find f`(x)

A: f'(x)=(1+cos(x))'/(1+cos(x))      =-sin(x)/(1+cos(x))

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and…

A: Let the temperature of metal ball at time t be:  y(t) Surrounding temperature is:  A = 25°C…

Q: e point at

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Q: 1- tanhx = sech x

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

Q: Find the 1st and 2nd derivative. p= (q+2 divided by q)(q+6 divided by qsquared) show all work

A: Given p= (q+2q)(q+6q2)

Q: With the help of Weingarten equation show that H[ñ ñ2 ] = FN – GM %3D

A: Given: To show the given statement as follows, The given  H    n→  n2→  r2  →  = FN - GM.

Q: You have to find estimator by method of moments

A: We have to solve Problem (C)

Q: pret 30. f(x)= e2! dt 2-x

A: Given that: f(x)=∫2-xxexe2tdx

Q: If f(x) = sinh³ x %3D the en f'(x) = ||

A:

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and…

A: follow the procedure given below.

Q: will allow as te solve for x?

A: we have to tell which equation will allow us to solve for x.

Q: Find f(t) given that f"(t)=sin(x) + cos(x) - 10, f'(0)=10, and f(0)=20.  Please show steps. Thanks.

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Q: If f(x) = x cosh æ + 3 sinh x then f'(x) =

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Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: Find the equation of the tangent line at (3, f (3)) when f (3) = 20 and f' (3) = 4. (Use symbolic…

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Q: =[in(4-x cos (r4

A:

Q: If f(x) = x cosh x + 5 sinh x then f'(x) =

A: Find the derivative

Q: Determine values of a and b that make the given function continuous: if x 3

A:

Q: d Prove that sin x cos x from first %3D dx principles only. Be sure to prove any limits that are…

A: Let's learn first principle of derivative because we have to find derivative of sinx using first…

Q: S x2tan (x³)dx

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Q: If f(x) = COS X then f' (x) equals: X S0)- -sin x cos X:

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Q: et+1 g(æ) = x + 1

A: Given that gx=ex+1x+12To find : g'x Solution :…

Q: tan2 (3 + Ax) – tan2 3 lim Ar 0 Ax

A:

Q: Find the derivative f(x)= In(ex+9)

A: find the derivative

Q: The derivative of the function y = 9 sin + 22 is. 0 + (In 2") O - (In 2)2= O + (In 2)2" 0로+ (In 2)2"…

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Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

Q: Find a linear equation that has the same solution set as th e given equation (possibly with some…

A: We need to find a linear equation that has the same solution set as the given equation.

Q: Prove that E = ehd.

A: By the defination, fx=fx+h....1∆fx=fx+h-fx∆fx=Efx-fx∆fx=E-1fx Therefore, ∆=E-1E=1+∆.....2

Q: 12 x+6x?+3x 5. f(x) = 3x Vズ-3 6. f(x) = ズー9

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Q: if Pen) = Sinh(nw) find F(Z)=?

A: There is an exponential representation of sinhx. Whenever we analyse various properties of sinhx, we…

Q: Consider the function f(x) whose second derivative is f"(x) = 7x + 10 sin(x). If f(0) f(x)? 3 and…

A:

Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

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Q: Find an estimator for b when a = 0 using the method of moments.

A: It is given that X1, X2, .......,Xn follows Uniform(a, b)

Q: Acrsin a2_v2

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Q: : Test the infinia appropriate tes (0)

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Q: Find the equation of the tangent line at (3, f(3)) when f(3) 17 and f' (3) = 4. (Use symbolic…

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Q: Find the general solution of the ODE.

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Q: Choose the correct value of derivative. d dx x+1 X () is equal to (Hint: Look at the note of section…

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Q: Find the first derivative formula for the function g, by using the definition found in section 2.2.…

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Q: Prove the identity. cosh(x) + sinh(x) - e

A: To prove the given identity we uses basic expression for sinh(x) and cosh(x).

Q: I am confused on how to solve this problem.   Thanks much.

A: The given trigonometric identity is,

Q: If f(x) : ,then what is the derivative of f(x) with respect to x? O 10 x3 10 10 -- x3 O 10 x2

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Q: I. Verify the following identities: 1. cosh x- sinh x = e* 2. sinh(-x) = –sinh x 3. cosh(-x) = cosh…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use the definition of a derivative to show that if f(x) = 1/x, then f'(x) = -1/x². (This proves the…

A: Given: fx=1x

Q: compute the derivative. 19. y=(2cosθ+5sinθ)9

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Q: ENRI Green's theorem to

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Q: 6. y 45

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Q: alue of A can be calculated based on f(x)dx = 1.

A: The given probability distribution function is,