If e" = a find the value of cosh(x) for a = 7.515 to 3 decimal places.

Q: Where does the graph of the function y=3•cos¬lx-sin¬'x have a horizontal tangent line? Provide an…

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Q: Find the indefinite integral sec* 7x dx.

A: To find the indefinite integral of ∫sec47xdx

Q: Find y′ if y = tanh−1(sinh x2).

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Q: By using the definition of hyperbolic functions as exponential functions, show that sinh 3x = 3 sinh…

A: handwriting solution

Q: sinh2 (등)

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Q: Find the indefinite integral. sinh(6 – 7x) dx

A: Consider the integral  ∫sinh(6-7x)dx

Q: Calculate the following derivative: ?/??(ln(tan(2?))+3sin?)

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Q: Without using calculator, solve coth−1 x = ln (x + 1).

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Q: Compute the derivative cos(sin(e7))

A: cos(sin(e7)) We need to find the derivative of the given function.

Q: By using the exponential definitions of sinh and cosh. show that cosh (t) - sinh (t)

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Q: dx х V1-4 ln?х

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Q: If f(x) = 4 cos(2 ln(x)), find ƒ'(x). Find f'(5) rounded to 3 decimal places.

A: Given function f(x)=4cos(2ln(x))

Q: sin(20nnt) AS(t)ln:odd = Ln=1 %3D

A: The Given problem is:…

Q: In the given question, verify the identity:- cosh x - sinh x =- e-x

A: As we know that the hyperbolic function of the inverse trigonometric identity is given by as…

Q: Find the indefinite integral. sinh(4 - 7x) dx

A: evaluate the indefinite integral ∫sinh4-7xdx

Q: Let 2.13x = 1, the Newton's Method to find the value of x with correct to 7 decimal places

A: The given equation is;  2.13x=1.

Q: The integ ral csc(0.5) dx is equal to

A: Follow the procedure given below.

Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

Q: Estimate pai to as many decimal places as your calculator will display by using Newton’s method to…

A: As per calculator, the value of pi is given as 3.141592654. We use Newton’s method to reach a value…

Q: Evaluate the derivative. * d (log10 (x)) dx (In(10)) O Option 1

A: we have to find the derivative

Q: se Newton's Method to approximate 76 correct to six decimal places.

A: Given: 764 Formula used: xn+1=xn-fxnf'xn

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y =…

A: given y=cos9θ+41

Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

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Q: Find the slope of the tangent line to the exponential function at the point  (0, 1). y = ex/3

A: Slope of tangent line is derivative of the given function at that point.

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: Find the indefinite integral ∫sinh 6x dx

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Q: The Smith's invest $10,000 in an account that grows to $12,000 in 5 years. What is the annual…

A: Consider the given smith invest $10,000 in an account that grows to $12000 in 5 years

Q: Use Newton’s Method to estimate 3√25 to four decimal places.

A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…

Q: Find the indefinite integral. sinh(8 – 7x) dx

A: From the given problem: I=∫sinh8-7xdx  ....(1) As we know that; ∫sinhxdx=coshx+C

Q: Find the derivative of   n^[ ln(cos u) ]  . Where n = 744

A: We will use logarithmic differentiation and chain rule of differentiation to find the derivative of…

Q: Use Gaussian Quadrature of order 5 to approximate 08 6 2 x-1 To how many decimal places is this…

A: Given that,    f(x)=∫286x-1dx                                  1 Using the Numerical Integral by…

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional te…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the indefinite integral. S sinh (1 – 2x) dx

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Q: 3. Evaluate tan¹x² 1+x dx.

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A: Given: Half life of Radim -225 =1590 a sample of 400mg how much of radium is left after 3000y

Q: How is ln x affected if x is multiplied by et?

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Q: Use Simpson's rule with n = 6 to approximate cos(a) dx Keep at least 2 decimal places accuracy in…

A: The solution is given below in the next step:

Q: If f(x)-logCos4x + sinx.Then find 9 (x) JP at x= sec 2c dx 6.

A: Given function is: f(x)=logsec2x|cos4x|+|sinx| To find the value of 9df(x)dx at x=-π6

Q: cosh(2x) = cosh?(x) + sinh² (x).

A:

Q: If f(x) = sinh 2x − e2, find the exact numerical value of f"(ln 2).

A: Given : f(x) = sinh 2x − e2

Q: Determine : L[te t sin 10 t]. 20s 20(s +9) (s² +100)? [(s +9)? +100]? A.) B.) 20s 20(s +9) (s+9)(s²…

A: We know that the Laplace transform; a). If Lft=Fs then Leatft=Fs-a b). Ltnft=-1ndndsnLft And…

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The given function is ∫x2+2xdx Anti-derivative is equivalent to the integration of the function.…

Q: if 2 tanh x.In x = sinh' (sin x)+logcos dx dy Q5/ Find

A: To differentiate the given function.

Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: Find the indefinite integral. ∫e−3x sin 5x dx

A: ∫e-3x sin5x dx

Q: Evaluate the following definite integral. arctan dx

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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: Solve for the second derivative(y") of the following and simplify the final results. Show complete…

A: Given. ⇒4lntan-1x=1-y⇒y=1-4lntan-1x Taking derivative with respect to x, we get…

Q: Find an equation of the tangent line to the graph of (log æ)cosh(a-10) , x >1 at the point where x =…

A: Given equation is  y=log xcosh (x-10), x>1 at x=10

Q: Find the indefinite integral. sinh(2 – 9x) dx

A: