tan³ (In x) sec (In x) dx (8)

Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

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Q: • Tt X 2. sin? cos cOS dx 2 2

A: To solve this I have used the Beta Gamma Integrals. Some of the Results which I have used is given…

Q: dp Find dx given p(x) = (sin?(3x))(3x²-4*)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g' The Power rule;…

Q: 13. Given y = arcsin(x) – x/1-x² , what is y'? 2r? A) |1-. 2x B) C) D)

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Q: Q2/Find the length of the curve r = sine + cos0 between

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Q: H.W Find y' for y = ecosx + tan-1(5x) * (5x2 + 1)?

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Q: a dx =? (1+sin x)sin x

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Q: dx =+ v3- 2. Determine the value of k such that sin 6

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Q: Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: J, sin a sin? cos" ,dx COS 2 2 2.

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Q: THWI Find d?y /dx? for and cos

A: To find the d²y/dx²

Q: G) dx =+ v3 - 2. Determine the value of k such that sin

A: Find the definite integral and put the limits and then equate each term to get the value of k

Q: H.W Find y' for y = ecosx tan (5x) * (5x? + 1)?

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Q: 2n Consider the function y = 4 sin (x+)- 1. Wha 1. What is the period of the function?

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Q: If y = sin?t+ tant, x=- In(- cost) - e sinr, find the value of y' when t==. 4 6 A 2 2 2/3 В 2-Vze 2…

A: Use dydx=dydtdxdt to simplify.

Q: 4Find dy/dx for: y = sec?x - tan?x b- y = sec -x) C- y = sin(tan(3x))

A: Since, you have posted multiple questions and the questions marked by you has multiple sub parts ,…

Q: If the given is y = sec2t and x = sin?t. Determine its dx²° - (Show your complete solution in a…

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Q: If y= sin?t+ tant, x =- In(-cost) - e sinr, find the value of y' when t= 2/3 A V2-e ? B 6/2 2-Vze 2…

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Q: tan x- 2x°y = c 3

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Q: VE-1 x= sec?t b) Find for y = dx sint

A: y=t-1sintDifferentiate w.r.t 't'dydt=sint·12t-1-t-1…

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: Use the formula for the slope of the tangent line to find of c(0) = (sin(20), cos(70)) at the point…

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Q: Q1: find dx of the following statement: a) y = cos? sec

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Q: dx Using trigonometric substitution S = sin(0) + C, express the answer in terms of x. 3 (x²+x+1)7

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Q: If y= sin?t- 2+ + tant, x= – In(- cost) – e sinr, find the value of y when t= (=- 2/3 V2-e 2 6. 2le…

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Q: tan? x (1+ sin² x) dx cos? x (9) (10) / (V – 1)° dx

A: 9 Given  is        I=∫tan2x1+sin2xcos2x  dx      ∵sinθcosθ=tanθ   1cosθ=secθ      I=∫tan2x…

Q: Given y= cos-(tanhx), determine dx A sechx sech?x B В 1-tanhx - sechx D none of the given choices…

A: The chain rule for differentiation is given by, ddxfgx=f'(gx).g'x.

Q: t/2 Find the value of sin(2x) sin(x) dx.

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Q: a) Which trigonometric substitution needed V25 – x2 dx ? to be used to solve Answer: x = sin 0 b)…

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Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

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Q: S tan?x secs x dx 1 х + Ос none of the choices 1 -sec"x + sec*x + C + C O A B.

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Q: If y = sin?t+ tant, x= - In(- cost) – e sinr, find the value of y' when t= A 1 1 2+ V2e v7 2 D 2-Vze…

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Q: dx 3 sin e+C = Using Trigonometric Substitution 3 express the answer in terms of x. (x²+ x + 1)7

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Q: c. When we use the integration by parts to integrate * tan dx we obtain an expression of the form A…

A: Given that a integration here we use to solve this integration by parts method .and after this we…

Q: b) L{e" sin(3t)}

A: b) We need to evaluate the Laplace transform of the following expression e2tsin3t

Q: If y = sin?t+ tant, x= – In(-cost) – e sinr, find the value of y' when t=- 4 ... 2+ Vze V? ... (B…

A: We have to solve the problem

Q: Given the equation 5 sin 2xy = 2, evaluate Assume that the equation implicitly defines y as a…

A: Given,         The equation is 5sin2xy=2 .

Q: Given: X = 4 cos 20 and y = 2 sin 20 What is the value of d y dx? in terms of

A: We have to solve

Q: a)- Find for, (x+ y)* = tan-14x + + Inlny !! dx

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Q: - ysec?x and y = 5 when x = 0, then y = etan x + 4 A в etan X + 5 5etan x D) tan x+ 5 E) tan x+ 5e*

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Q: Given y= cos-(tanhx), determine dx A - sechx sech?x 1-tanhx © none of the given choices sechx…

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Q: In Va? + b² dx In x arc tan- Jo (x + a)² + b² where a and b are real.

A: We will prove the given identity by solving the integral using appropriate substitution.

Q: #3. Sketch y = sin x and y = cos x for 0 < x< 2n. Locate the x-intercepts. sin x CoS X 1 37 37

A: X intercepts are values where the graph cuts the X-axis.

Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: 8. Which of the following will satisfy the equation below | f(x) dæ = arctanz+C?

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Q: If y = sin?t+ tant, x=- In(- cost) – e sinr, find the value of y' when t= . (A 2/3 (B - e 3/2 (D 2+…

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Q: J ? x sin 2x dk

A: This integral can be solved by the method of integration by parts which is given by

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.