sinh(4x) dx 3x Evaluate

Q: (a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even function,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: Solve the equation 3sin2x+sinx+8=9cos2x for −180∘≤x≤180∘, giving your answer correct to 2 decimal…

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Q: a) Determine whether the series Σ is convergent or Vn3 + 4n + 5 n=1 divergent. b) Determine whether…

A: We have to find if the given series is convergent or divergent.

Q: II. Consider the function g defined by 1 g(x, y) = cos (TxVy) + log3(x – y)" Do as indicated. 3. In…

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Q: Evaluate the difference quotient fla + h) - fla) for the function 7+ 3x . f(x)= 4

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Q: S16 sin²x cos"x dx the solution is 2x 4 sin x cos x +2 sin x cos x +C 1 x- 2 sin x cos x + 4 sin x…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: Determine dyðx Calculate the instantaneous rate of change of g at the point (4,1,2) in the direction…

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Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6eT find z, w. Give…

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Q: 1. rate at two-hour time intervals are shown in the table. Find lower and upper estimates for the…

A: Given:      The lower and upper estimates for the total amount that leaked may be computed as the…

Q: 3. Find the general form of the equation of the plane containing the point Q(0, -2, 10) and the line…

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Q: Prove that f(a) = (z - 1)² + (x + 1) is an even function.

A: The given function,   f(x)=x-12+x+12

Q: Part (3) Double Integration in Cartesian coordinates: 1) Find the volume of the solid under the…

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

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4.x + 2y + z subject to x +…

A: Apply Lagrange multiplier

Q: 11. Find L{tU(t - 1)} A. В. е ers C. D. e-s 1 E. None --

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Q: C. Determine whether each of the following is true. 1. 7 ≡ 12 mod 5 2. 3 ≡ 24 mod 7 3. 33 ≡ 15 mod…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: If f(x, y) = y cos(x) – x³ In(y), find the second partial derivative dy dx

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Q: For j(z) = (3x2 - 7) (-2x* + 7x), find j' (x) by applying the product rule. Provide your answer…

A: j(x)=(3x2-7)(-2x3+7x) The product rule is: (fg)'=f'g+fg' From above:  f(x)=3x2-7g(x)=-2x3+7x Now,…

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by undetermined coefficients…

A: To solve the following problem

Q: 1 + x² – 4x + 3 lim T→1- T2 – x

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Q: Evaluate the line integral Vo • dr for the following function p and oriented curve C (a) using a…

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Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: Determine the linear approximation of f(x) = =ª at æ = 1. O a. y=- 4x-3 O b. Not in the list O c. y=…

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Q: It is possible to find a value for a so that the series 1 + n° na+1 n=1 is convergent. Select one:…

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Q: for In (x + x²) dx

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Q: a) [. :l: Determine whether the following series (-1)"5"-1n . 42n+1 n=1 is convergent or divergent.…

A: As per policy only first question is answered. Please refer to the image below

Q: Suppose that k(x) is a continuous function defined on the domain 0 sxs5 and is graphed to the right.…

A: Critical points are defined as those points where the derivative ia either zero or infinity.

Q: 4. S Væ*dx

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Q: the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the…

A: Find your answer below

Q: If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day…

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Q: 3. J

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Q: 3- Given r= (-3,10) and s= (12,-7), find a- r+s b- s-r.

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Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 8. F(x) = [ (13 + 6t - 5) dt F(x)…

A: given a definite integral

Q: + 2x-3 Find a lim f) b lim , x) Jig. f(x) d lim rx)

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Q: Determine the Laplace transforms of * 3, 7 12

A: Determine the Laplace transforms

Q: 06: A- A projectile is to be fired from ground at angle of 30° to reach a target point that is 100m…

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

Q: 3. ху3 — ху %3D у y'

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Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

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Q: Find the divergence of the following vector field. F= (3xyz, - 2xy z, - 4xyz?) %3D The divergence of…

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Q: Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O…

A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

Q: I. Evaluate the following. You are NOT allowed to use L'Hopital's rule. - 2x – 3x 3 – V11+4x - 1.…

A: fx = limx→-∞pxqx  fx = limx→-∞logπcot-1x1-cosh2xWhere, px = logπcot-1xqx…

Q: Q/ For the function shown bellow; find dyldx using Chain rule Y = ( 4 2x + 4)*

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Q: 0 cos n0 do

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Q: dy Do not simplify your answers. dx IV. Find Vsec-1r sin æ 1. y = (use logarithmic differentiation)…

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Q: The series 32n-54-1-2n is n=1 Select one: а. is a divergent geometric serie O D. is convergent but…

A: Topic:- sequence and series

Q: sech 2t dt Evaluate 3, coth 2t

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Q: number 3 please...clear solution

A: Topic:- limits calculus