x15 dx 101. Evaluate using the properties of odd functions. Lg 3+ cos? x

Q: Evaluate LS ²² s 0 sin z6 dx dy dz

A: In this question we have to solve Triple Integration.

Q: impson's One-Thirds (Use n = 10) 7. S¯½ (5x³ − 2x² + x + 3) dx -24 sin r

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: f It) = a e 71 f Sin 4t + 5 cos 4t

A: Laplace Transform: Given a function Ft defined for all real t≥0, the Laplace transform of Ft is a…

Q: а L {sinh(at)} : given that sinh (at) = So %3D s2 -a? 2

A: This is a problem of Laplace transform.

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Q: f(x) = 2a? cos(a) f' (x) = |

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Q: Use the given substitution to evaluate the following indefiniteintegrals. Check your answer by…

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Q: TT Find the FCx)=Sin?cx)- Iaylon L* identify sın?a> (l-Cosl2x))2 series a 4 for FCx)=Sincx)

A: Topic = Taylor series

Q: E. Inverse D- Ope rator O't GD° e 130) y- 30 - 3x Sin 2x 4.

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Q: 2) tan 0 2V13 4.

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Q: Q2: find the integral of trigonometric function cos sint dx

A: To evaluate the integral: I=∫0πcos5x sin4x dx⇒I=∫0πcos4x sin4x  cos x dx⇒I=∫0πcos2x2 sin4x  cos x…

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Q: cos® x dx COS

A: Since they are 3 different questions as per the rule we are allowed to do only the first part of the…

Q: Evaluate the function below from x = 2 up to x = 4. S((1+x) √æ -)dx All associated angles are in…

A: To evaluate the value of function given from x=2 to x=4.

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

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

Q: What is (sin(x))? How about (cos(x))? d17 d42 dx 42 COS(x 1

A: To determine:                           d17dx17sinx: Now, We know that the 'derivative of sin x  is…

Q: d dx [x² tanx]

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Evaluate L{3e cost cos 8t}.

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Which of the following equations is equal to 1 A cosh (x) – sinh2(x) (B tanh²(x) – sech2(x) ©…

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Q: for fallowry f(4)= e'cos(-1) or menina finod maxina funchins

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Q: 1. dx Find the value of a so that %3D 4 1-x2 %3D

A: Topic:- calculus

Q: EVALUATE -dx + 144 ,2 O x – 12tan-1 12 none 1 -sin' 12 x – -1 +c 12 O x – tan-1 12

A: We have to evaluate  ∫x2x2 + 144 dx. We know,  ∫1x2+a2dx = 1atan-1xa + C      (where C is constant…

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Given function is cosπx2+πcosx. We have to find anti-derivative of given function. Anti-derivative…

Q: Evaluate the function below from x = 2 up to x = 4. ex S(7+2)dx All associated angles are in…

A: We need to evaluate integral.

Q: dx Using trig sub, find - By the rules, Vu2 + a² x/(x³)²+1 can be used where u=a tan0. What should…

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Q: dx 2 9 cos? x- sin? x ,2 COS

A: Some of the properties of trigonometric  tanx=sinxcosx1+tan2x=sec2x∫1xdx=lnx+C

Q: t -8 + ct-6)? t 76 X Ct) = cosh 3t sin 3t 5も te

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Q: 10 dx 9. Evaluate. Leave answer in exact form. 4+x

A: We want to evaluate the integral: ∫110dx4+xdx

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: n/2 cos x eSinx dx=? A 1-e В -е e-1 e/2

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Q: W (sinh x , cosh x) = ? Select the correct response: O -2 -1 O 1

A: We will find the solution using the given operator.

Q: Find the oiven denivative by finding the fiot fw denivals ond dbscning the pattern that occurs 106…

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Q: dx 4. Evaluate cos? ' x (tan x + 1)

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Q: Cos10 t Find L O A. 0 O B. 2 OC. Does Not Exist OD. 1

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Q: 10* dx may be written as AlnlsecB* tanB*+ C: where A, B, and C are constants not equal to zero.…

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Q: The height of an arch above the ground is given by the function y = 10 cos x for - 5sxs, What is the…

A: The height is:-

Q: Evaluate fo" sin(x) dx. Which of the following shows the correct steps? sin(æ)|5 = sin(r) – sin(0) –…

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Q: Q12. If fla)= tann- 3 secu find f'(a) = find f'E) =

A: first derivative of f(x) is f'(x)= cos x+3sinx

Q: Using the graph below, estimate the magnitude of the error in approximating sin x by x for -1.1 <x <…

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Q: I cos Z Be sure to answer as a fraction in lowest terms. 12 15 X.

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Q: Evaluate : L [ ezt -3+sin h t sin

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Q: The function below is a simplification of which integral?" 4. 4 a sin(2 3x) + 3 cos(2 3x) + c 6.

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Q: dv n 1-cosx Find ", du v = log (" ), Where n=540 1+cosx

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

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Q: Q3) Evaluate the following using simpson's rule; h=1 3 -5 x dx i sinx

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

Q: Simplify the expression to a trig function of x. cos (z -) = 0 T CoS x 2 %3D

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Q: 15 dx Evaluate V9+ x²

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