a) cosh (x) tanh' (?) = sech'! (?) find the "(?) " %3D %3D b) ln () = ? --

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

A:

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

A: To find the indefinite integral of ∫sec47xdx

Q: Separate tanh-1(x+ iy) into real and imaginary parts.

A:

Q: ln(x) is just defined for x greater than 1. Select one: True False

A:

Q: 8. Find the principal value of Arc tanh(1 + j2)

A:

Q: Compute sinh(ln 5) and tanh(3 ln 5) without using a calculator.

A:

Q: What is the instantaneous rate of change of the graph of y = = cos x when x= 2n?

A:

Q: 1. Ye = cost- sec(at) %3D ans: =-2sin t - asec(at) tan(at)

A:

Q: Find the indefinite integral. ∫ sinh x/(1 + sinh2 x) dx

A:

Q: L(cos(at)sinh(at))

A:

Q: 4(sinh 5. Evaluate 6 x) dx V1+x?

A: We use the well known formula for sinh^-1(x) = ln(x + sqrt(x^2+1)) and then integrate the…

Q: sinh In(2+2x) dx? x+1

A:

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

A:

Q: 2. One side of a right triangle is known to be 22 cm long and the opposite angle is measured as 60°,…

A:

Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

A:

Q: Suppose that the tangent line to the graph of f(x) = x0") at x = 1 is equal to the tangent line to…

A: topic:- application of derivatives

Q: a- y= (cosx) (use logarithm differential)

A: To find dy/dx

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: (27 (b) Show that 0. 4 tanh- 2x dx In 8. 16

A:

Q: dervivative of (ln(cosh(x)))3

A: Given data:     The given function is: y=(ln(cosh(x)))3. STEP-1 Assume u=coshx and differentiate it…

Q: 4) coth-lx = .In ( 1+x tanh-11 %3D 2 X-1,

A: i am solving question 4 for other question repost

Q: The pressure difference of the two ends of a small pipe of cross-sectional radius x is given by P =…

A: Here in this question we have to find change in pressure across pipe given change in radius.

Q: approximate the root specified to three decimal places using Newton’s Method. Use a plot tochoose an…

A:

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: Find the derivative of n^(ln⁡(cosu)). Where n=822

A: Given information : nlncosu Here, n=822. we have to find the derivative of given function.

Q: 5. If cosh 2x then the positive value of 4 sinh 2r is

A: Here we will use the relationship betweencosh2x and sinh2x to find the value of sinh2x from the…

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: 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 indefinite integral. sinh(4- 5x) dx

A: To find:∫sinh4-5xdx

Q: Find the indefinite integral ∫coshx/sinhx  dx

A:

Q: Find and sketch an exponential equation of the form y = Ce^kx that passes through the points (0,8)…

A:

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

A:

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: Find a number such that the tangent line to the graph y= log,(x) at x = a is parallel to the tangent…

A: The objective is to find the value of a

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: Find the absolute maximum and minimum values of ƒ(x) =10x (2 - ln x) on the interval [1, e2 ]

A: The given function is  ,fx=10x2-lnx on interval 1 , e2. To find the absolute maximum and minimum…

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

A:

Q: 2. One side of a right triangle is known to be 150 cm long and the adjacent angle is measured as…

A: The given problem is to find the maximum possible error in area of triangle when one side and angle…

Q: Find the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)

A: Find the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)

Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: Find the indefinite integral. ∫4 arccos x dx

A: To evaluate the integral: ∫4cos-1x dx Integration by parts states that: ddxuv=v·ddxu-∫ddxv∫udxdx…

Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: tanh 2x In (cosh 2x)dx

A:

Q: cosh(In x) dx

A:

Q: Q2): If sinh(x) =find tanh(4x). %3D

A:

Q: 8. (a) Evaluate the indefinite integral dx sinhx+coshx e 4x (b) Find and simplify the derivative of…

A:

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

A:

Q: In( cosh(3x) - sinh(3x) )=

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.