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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: Solution :let,y=limx→0+cosecxsinxtake log both…

Q: Evaluate the following integrals. x +3 a) dx. Vx? - 4x – 5

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Q: Water fills a bathtub at a rate of r(t) liters per minute (where t is the time in minutes). What…

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Q: x) together 1. Use the graphs of the functions f and g below (and your own graph of the function…

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Q: tan zdr

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Q: Find if the sequence converges or diverges. If it converges, find the limit.  an=e2n/n+2

A: Given problem:- Find if the sequence converges or diverges. If it converges, find the limit.…

Q: Let a Consicler the matrix 4. A= S23 87.3. Find Mz, C1z and Mzz, Czz

A: Given,A=214523873If A=a11a12a13a21a22a23a31a32a33ThenM12=a21a23a31a33 And C12=(-1)1+2M12 And…

Q: 5 Given the function f (x,y) = which ONE of the following statements is C /x+y2 O A. f is only def…

A: function is defined for  x+y2 >0  y2 > -x

Q: 25% of the initial intensity I.

A: answer is in next step

Q: 58. y dA y x= y- y³ y= (x+ 1)² -1 -1

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Q: i sin(In(-32)) = cos(In(-32²). True or False: dx True O False

A: Topic = Derivative FALSE

Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: Find the aveas for Ehe following Vegions: 3- Regiun bounded by y=メナy=X and y=2 4-Region bounded by ५…

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

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Q: A pilot is flying over the ocean. He determines that the angles of depression to two ships are 65°…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 7,    s(0)…

A: This question can be solved using the concept of acceleration, velocity and displacement in terms of…

Q: Sketch the graph of the given polar equations. 5 17. 0 = %3D

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Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: Solve the initial value problem 8+ 3y = ne, e > 0, y(n) = -5. de

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. NAA 4- 3 37 2 4…

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Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

Q: 32 2 The series 3 8 + 33.3 128 is equal to ..(Correct to 3 decimal places) +... ..... 35.5 37.7

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Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

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Q: Suppose that f(1) = 2, f(4) = 8, f'(1) = 10, f'(4) = -3, and f" is continuous. Find the 4 value of…

A: We have to find the value of the given integral.

Q: Consider the following function. f(x) = 3 − |x − 2| (a) Find the critical numbers of f. (Enter your…

A: The given series is: f(x)=3-|x-2|      =3-(x-2); x≥23-(-(x-2));x&lt;2      =3-x+2; x≥23+x-2,x&lt;2…

Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: Find the directional derivative of the function at the point in the direction of the unit vector. 3…

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Q: Find the area of the region that lies inside the curve r =1- sin 0 and outside the curve r = 1.

A: I have provided this answer with full description in step-2.

Q: O »(x) = Given the differential equation y' = 8x + 4 y' and y (0) = 1 and its next few implicit…

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Q: Find the derivative of the following functions and simply it whenever possible. 3. y =…

A: This is a problem related to derivative of the function. Based on the general formula of the…

Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: sech³(2x) sech (2x) C. OD. + e2+e-2r 3 10

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Q: Find all functions f so that f'(x) = 7x2 – 7/x. (Use C to represent an arbitrary constant. Remember…

A: We have to take anti derivative to solve  for f(x)

Q: Question If 0 < 0 < 2n and 4sin 0 – 4 = -3, determine the values of 0. List your answers as exact…

A: Answer: The solution is as given below:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Given the final result as I = 4        a) Trapezoid method and b) 1/3 Simpson method   Calculate it…

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Q: 6х — 8г? — 5 dx (2х — 1)(4г? + 1)

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Q: Write TRUE if the statement is always correct and FALSE if otherwise. Prove your answer. (c) If am…

A: c)   If an≤bn for all n∈ℕ and ∑n=1∞an is divergent, then  ∑n=1∞bn is divergent.

Q: The non-homogeneous differential equation P(D)y = cos(2x ) has associated the characteristic…

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

Q: Determine all values of x, x E (0, n), for which the slope of the tangent of f(x) = cos (2n sinx) is…

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Q: 1. El radio de convergencia de la serie de potencias es (n+1)!

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Q: Sketch f(r) = e2x – 4ex

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Q: Show clear and detailed solutions. Given: Let A = (1,0, 2) and B = (6,–2, 3) Solve and calculate for…

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Q: dx Evaluate the integral improper integral (2x – 1)3 00 A) 1/6 B) 1/8 1/4 (D) 1/9

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Q: f cxsy) Xy R: 0人x ハ and 。くyく2

A: This is a problem related to derivative of the function. Please follow the procedure given below. As…

Q: Please solve this simple question as soon as possible

A: a) The following set of differential equation have been used to determine the populations of two…

Q: If f(x) = 4° + 81log4x. then = f'(2) (Answer accurate to 2 decimal places.)

A: Given  f(x) = 4x + 81 log4x We have to find f'(2).

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function is;  f(x,y,z)=xyz x2+y2+z2=243.

Q: 10. [ tan 0 d0

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