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Q: What is tl

A: Given function is: f(x) = 3 + cos (3x) We have to find the gradient of the function.

Q: . Find EY.

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Q: 73 dx

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Q: -) Find the vel

A: Given that, s(t) = t3 - 7t2 + 2t  ; t >= 0 (a) Velocity (v) at time t is given by: v(t) = ds/dt =…

Q: (a) Show that Ye(x) = Ce¯[ P(x)dx

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Q: What is the value of w?

A: The given figure is as follows -  Given that -  AC = 2 and ∠ABC = 53 ° We have to find 'w' i.e. the…

Q: Evaluate the folle (x*+ *) dxdy

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Q: e top of the ladder slides down the wall (and the length of the ladder stays fixed). O O OO O

A: In the given question, the concept of a trigonometric function is applied. Trigonometric Function…

Q: stanx de

A: Given: ∫e5tanxcos2xdx

Q: dv as

A: Given: I=∫dvev We know that ∫ekxdx=ekxk+c…

Q: e tan (e") dx Vsec2 (eª) – 7

A: Use substitutions method for finding the integral.

Q: al to). Average rainfall of a city from Monday to Saturday is 0.3 inch. Due to fce the rainfall on…

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Q: aluate. v2

A: Integration: ∫-12(-x2+x+2)dxWe know∫xndx=xn+1n+1

Q: UT 2. 3. ja

A: Given, Simplify a) x45b)a235

Q: Find mZG. E 35-/2 F 70/2 mZG %3D Submit

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Q: We de Notice this.)

A: we will be making use of limits

Q: dx -=? S 3+2cosx

A: Given that a integration problem and we solve it by using general property of integration. We know…

Q: Surpose that ex 3 t evaluate cach of the fetowier (3).

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Q: (i) Find their means

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Q: de

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Q: Evaluate: AT -dx B. 이집 는 d 를

A: Evaluate the integral ∫0πxsinx1+cos2xdx

Q: Iculate the autocorrelation of x, = ej™n/2 + ej™n/3_ ||

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Q: DE

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Q: ame: Due D

A: We will be using direct substitution method and factorisation method respectively to solve the…

Q: Use the tabular method to evaluate r°e" dr.

A: Tabular method is used to integrate by parts. Here we take first function to be x5 and second…

Q: dy to de

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Q: F(s)*(+25+2) Fis)

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Q: dr Find dt

A: Given that r=s+1   and   s=16t2-20t. Obtain the derivative as follows.

Q: Find

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Q: įP,(x)dx = Evaluate:

A: Given, ∫01P'7x dx To find the value of this integral.

Q: rtain spring 12 in., how far will the

A: Given that the stretch in spring is directly proportional to weight placed at the end. let  w =…

Q: Showthat dz du

A: I am attaching image so that you understand each and every step.

Q: = 1 at the poin

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Q: ex g. y = In ex-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: E, where 'C' i-

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Q: cSco coto de Jて+2c66)

A: The integral is  ∫ csc θcot θ dθ1+2csc θ2

Q: HCt-2) Cosh(6(t-2))est ?

A: Given: Ht-2cosh 6t-2e8t

Q: O cot t

A: Given Cot π We have to find the value

Q: evaluate the indefinite integral.

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Q: cotetan3e + 1= sec?e 2 csc?e

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Q: asa

A: Here we have to find the lateral surface area of the figure , value of h , and  Volume of the right…

Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

Q: Evaluate Conditions. pum テ=(6)V:s「(4s te return

A: In 2 quadrant sinx and cosecx is positive. Otherwise, all other trigonometric values are negative.

Q: Evaluate fx² cosh x dx

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Q: af af and dy Find

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Q: te v" ח 1 'זר י:רר וודי ,

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Q: flx) =-ax²+4 concave up? concave dorwn? inflection pts ?

A: Since, you have asked several parts in a single request, we would be answering only the first 3…

Q: ing is to ht of the

A: Given: γ=0.6906lb/in3 r=0.35 in,d=0.12 in,t=0.002 in

Q: Find dy when r + y? = 5.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.