12. Setan 2x sec² 2x dx

Q: F cos 2x dx sin x

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Q: f(x) = 3x² - 5x+21

A: SOLUTION-

Q: Q1) L-1 s(s a) cosht -1 b) 1-cosht c) (cosh2t - 1) d) (1 - cosh2t)

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Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

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Q: 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

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Q: Q19) The general solution of 2x2y" + 3xy' - 15y = 0, is: a) y(x) = ₂x² + ₂x³ b) y(x) = C₁x + c₂x-3…

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Q: A while than 15t 7-47 / र

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Q: Investigate if the integral is convergent or not. Justify your answer.

A: Given:     ∫1∞dx1-x   Substitute u=1-x→dudx=-1                dx=-du   =∫1∞-1udu

Q: Find the final value of the system corresponding to

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Q: Find the limit or show that it does not exist. lim x - √x 818

A: follow next step

Q: Evaluate: S O (1+2√√)¹ 2 O (1+2√)¹ +C 8 O 2(1+2√x) + C O (1+2√)¹ - + C 4 (1+2√x)³ - dx +C

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Q: Given the function f(x)= = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x) h…

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Q: Which statement describes this graph? 3 15- -10- -5-

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Q: Obtain the an = $ sum of the series. (sin-—-sinn) W

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Q: Differentiate the following expression: y = x² cos 4x

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Q: Sỗ ſcos ur sin u dr du 0 0

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Q: 30.3. Find and classify the isolated singularities of the following func- tions: +1 Z sin 3z (a).…

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: Differentiate the function with respect to the independer X f(x) = +e5x + e 2 e (x) = 0

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Q: Researchers fit data from over 6000 fetal ultrasounds. They measured the femur length, L, (in…

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Q: Evaluate the triple integral 9(z, y, z) dV over solid B. B B = {(x, y, z) | 5² ≤ x² + y² ≤ 7², x ≥…

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Q: or values of x which the given the function y=x+1, has a 4.) Find the value maximum or a minimum…

A: You need to find out the critical points then solve for maxima & minima. The explanation part is…

Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x+2Lne√ - 2Lne* QV² + 2²

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Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

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Q: S I (s - 2)² Option 4 Option 3 ★ Find laplace transform for -| (s-3)2 Option 1 O Option 2 O

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Q: 4. The equation of a plane is [x, y, z)=[-1,-1,1]+s[1, 0, 1]+[0, 1, 2]. Find the - intercept of the…

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Q: 1) What is the slope of the graph y = 5e³x at x = 1?

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Q: Q3/ Solve dy dx4 2d²y + 1 = 0 dx²

A: Given d4ydx4-2d2ydx2+1=0To find solution:

Q: r(t) = (t sint, 1 - cost) at the maximum point (x, y) = (1, 2) which occurs when t = . You will need…

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Q: 10. f cos*x sin x dx 11. (sec² 3x) dx / (tan 3x) 12. Setan 2x sec² 2x dx

A: Topic:- integration  Note:- as per our guideline if more than three subparts posted than only first…

Q: The Laplace transform of signal xi(t) is shown below. Determine the initial value x(0)

A: Above question is solved.

Q: Q14) The solution of y'" + y = 0 by using power series method, is: a) y(x) = 40 + a11- + ...) 41 51…

A: 14)    Given differential equation y''+y'=0 ......................(1)    We can substitute…

Q: 1 Suppose that I is a location function of an object, given as L(t) = We will compute the 3t - 7…

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Q: 2 X 2 - a² dx X

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Q: Show that: l (i) a a a a al la al = = (2a +l)(l

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Q: Find an equation for the hyperbola described. Graph the equation by hand. Foci at (-25,0) and…

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Q: c) Yp = Asin(2t) + Bcos (2t) Q13) The general solution for y' = 6y²x, is: a) == 3x² + c b) = x² + c…

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Q: Consider the following. [u-5(6 - u³ +4²0) du Simplify the integrand by distributing u¯5 to each…

A: We know that integration power rule is given as - Integration of xn is xn+1/n+1 +C ; here C is…

Q: h pendant. In one setting, the two diamonds would have a mas e second setting, the mass of two…

A: Topic:- algebra

Q: Consider the following. √u-5(6 - ² + ¹0) du Simplify the integrand by distributing u-5 to each term.…

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Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

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Q: Find the number in the interval [0,3] such that the difference of its square from its cube is the…

A: Given problem:- Find the number in the interval [0, 2/3] such that the difference of its square from…

Q: 1. (x+y)dy +(x-y)dx=0

A: Given: (x+y)dy+(x−y)dx=0 ⇒dydx = -x+yx+y   ...(1) To prove: Given differential equation is…

Q: Question 5 limx→→+∞ (1 + ¹)² O ll SO III OIV O Not Indeterminate

A: Please mention also what the first four options wants to represent here ...as correct answer is e .

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3.1 Let f(x) be a differentiable function with f(4)= e and f'(4)=-e. Determine the linear…

A: As per our guideline, we supposed  to answer the only the first question  Given f(4)=e   and…

Q: 15. f (sec² x) dx / (√(1-4 tan² x))

A: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should be…

Q: Question 3 limx→+∞ e-√√ OI Oll O III OIV O Not Indeterminate

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Q: Which of the following describes a function? 1. y=x² +1 x=y² +1 1 I only Oll only I and II Neither I…

A: We have to tell about which is showing a function