Distinguish Maxima Problem from Minima Problem.

Q: *39. A piece of aluminium strip of length e m is used to make a window frame as shown in the figure....

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Q: f(2)=

A: Follow the procedure given below.

Q: Determine if the given function y = f(x) is a solution of the accompanying differential equation. y'...

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Q: 32. f(x) dx

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Q: Evaluate sec (13t)dt. sec (13t)dt =

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Q: Consider the coordinate vectors 6. (w]s= (als= (B]s %3D %3D %3D 3 4. (a) 8)}. w = (?, ?, ?) (b) Find...

A: Solution: b) S = {x2+1,x2 - 1, 2x - 1} and coordinate of q w. r. to s is  {2,0,4}

Q: Evaluate the integral. (Hint: rewrite cot, do u-sub) R/8 4 cot (40) de n/16 In 2 2 In 8 2 O In 2 In ...

A: Given definite integral can be solve using substitution method . 

Q: Instantaneous Velocity The velocity of moving object at a point during its motion can be determined ...

A: The given velocity function is: f(x)=-x2+6x-2 where x is the time in seconds.  

Q: ) Copy the vectors in the figure and use them to draw the following vectors. a) a + b              ...

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Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal place...

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Q: Vcot3x csc*3x dx

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Q: )dx = (x + Jxy)dy O Not homogeneous O Homogeneous

A: This is a problem of differential equation. Homogeneous differential equation has same degree  of va...

Q: Evaluate the integral tan (x) dx. tan (x) dx = %3D

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Q: In Problems 43-54, find each indefinite integral. (Check by differentiation.)

A: Given ∫(5ez+4) dz

Q: 0.4 0.2 -0.2 -0.4 t (s) The graph above shows the position of an object in simple harmonic motion as...

A: The maximum speed of a simple harmonic motion is given by, vmax=2πTA Where, A is the maximum displac...

Q: the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider u...

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Q: 70. f(x) = x - 8x2 + 16 (A) [-1, 3] %3D | (B) [0, 2] (C) [-3, 4]

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Q: の dy Sーメ+ リーX +5

A: This is a problem related to differential equation. Based on the general formula we will solve the q...

Q: A particle moves on a coordinate line with acceleration dt? = 60 f - 18 subject to the ds = 8 and s ...

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Q: A farmer has 80 feet of fencing to enclose three sides of a rectangular plot of land (the fourth sid...

A: topic- application of derivatives

Q: Find dy/dæ in terms of æ and y if æ°y – x – 2y – 1 = 0. dy dx

A: We have to find dydx in terms of x and y if x3y-x-2y-1=0.

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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Q: 2n+1 if n is odd if n is even an

A: Find the limsup and liminf

Q: Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).

A: I have appended the formula used in the solution part.

Q: y=sin

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Q: Find gof. f(x) =x- 9 g(x)=x²

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Q: Detrminc Partiular solurion y?dx + (x*+ 3×y+4y?) ay:0jx=2,y=1

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Q: Certain chemotherapy dosages depend on a patient's surface area According to the Mosteller model, Vh...

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Q: What are the 8 extreme values (both max and min) of the fu

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Q: Find the volume of the solid generated by revolving the region 2 bounded by y + 2v2x = (x+ v2)´and x...

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

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Q: S sinx In(1 + sin x) dx

A: Given problem:- ∫ sin(x) ln(1+sin(x)) dx 

Q: Directions: Differentiate the following functions and determine the slopes of the tangent lines at t...

A: Topic = Derivative

Q: - f(x) = - f(x) = x-2 g(x) = 5 In x - 2* g(x) = 4x' log, x %3D f(x) = 10* · e*

A: Solution of question is written in below steps.

Q: Evaluate the integral. (Hint: u-sub) O -4e** + C O ex + C

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Q: 7/2 r = 6 cos 20 4 2 -4 -2 2 4 -2 -4

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Q: Activity 2.1 A. Choose the function whose derivative is equal to zero c. f(x) = 3x d. f(x) = V2r? a....

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Q: Create 1 graph of a function that shows continuous, removable, jump and asymptotic discontinuity (al...

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Q: Find the limsup and liminf of the following sequence: sin (2) а) аn = n

A: Here we have to find the limsup and liminf of the given sequence an .

Q: 5. The Detective branch from the Dhaka Metropolitan Police has come to ask you for assistance on det...

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Q: Describe in words the region of IR^3 represented by the equations or inequalities. y^2 + z^2 = 16

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Q: Evaluate the integral. sin (8t + 16) dt cos (8t + 16) sin (8t + 16) dt = cos (8t + 16)

A: Solved below

Q: (-5t -2st1 Find the domain of f (t). Find the values of A and B if the function is continuous every

A: Here we have to find the domain of f(t) and the values of A and B.

Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) %3D 3 + 54х —...

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Q: dR 58. dt 50 R(1) = 50

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: topic - Rolle's theorem

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: Given that        y' = 4xex^4 , y(1)=3 , dx = 0.1 By using Euler's method we have to calculate the f...

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) =x<In(x) given the init...

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Q: Given the function f (x) =V=² +1, z € [0,1] (a) Enter f' (x) x*(x^2+1)^(-1/2) (b) Enter the inverse ...

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