Numbers

Q: 2. a. arctan(-1) b. tanV3 C. tan-

A: a)tan-1(-1)=-π4b)tan-1(3)=π3

Q: Use substitution to find the indefinite integral. ((8+3 In x² xp- Describe the most appropriate subs...

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Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 4...

A: topic - derivative of a function

Q: Cons ider The diffevential quation ay? dx +3xy dy =0 with a gs a real constant. If u(x,y) = xyis 4 o...

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Q: dx 1 +sinx+cosx

A: LetI=∫dx1+sinx+cosxwe know that,sinx=2sinx2cosx2cosx=cos2x2-sin2x2cos2x2+sin2x2=1I=∫dxcos2x2+sin2x2+...

Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is b...

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Q: 4. An irrigator uses a stream of 100 li sec for two days (48 hrs) to irrigate 12 ha of corn. What is...

A: Find your answer below 

Q: Eval the Pt: dx

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

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) = 5x...

A: function  fx=5x2-6x, find the critical points?

Q: If f(x) = 8x* arctan(3x*), find f' (x). f' (æ) =

A: Answer is given below.

Q: You have been given the following : F(2iy.z) = y™ Find the value for the partial derivatfves shown b...

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Q: Consider the following piecewise-defined function. - 2x2 + x - 2 if x 3 Step 2 of 3: Evaluate this ...

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

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

A: Find the limsup and liminf

Q: Use the Laplace transform to solve the given initial-value problem. у' — 5у %3D 6(t — 4), У(0) %3D 0...

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Q: (3) A firms production function is Q(L) =15L -0.12', where output (Q) is a function of a single inpu...

A: The given function of production is: Q(L)=15L2-0.1L3 where L is labour (number of workers).

Q: SHOT# BS Hエ ELEV Remarks FS BM- A 1.567 200.000 Tp-1 199.333 3.579 197. 88 Tp- 1.136 197.709 196.573...

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Q: Let u=(-1,37 and u =< 2,-57 Find the Component form of the vector Su-V

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Q: Solve the differential equation. dy = e5x - 5y dx

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Q: Evaluate the integral. P(p + 6)°dp P(p + 6)° dp = %3D

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Q: An open box is to be made from a rectangular piece of material by cutting equal squares from each co...

A: Explanation of the answer is as follows

Q: 1. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) : ...

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Q: Evaluate the integral. (Hint: u-sub) R/8 S (1+ etan 20) sec² 2x dx O 2e e

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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: Activity 3 Find Your Rate at this Moment Directions: Differentiate the following functions and deter...

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Q: Use a change of variables or the table to evaluate the following indefinite integral. dx e ex +5 Cli...

A: We have to find the integral

Q: Find an equation for the graph sketched below: -2-

A: This question is all about finding equation  using the graph sketched that is given to us. 

Q: Solve the initial value problem. dr 2 dr dt? 13 dt = 4, r(3)= 1 It%3D3 r(t) =D

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

A: answer of given question is in step 2

Q: f(x) = 4x^3 − 3x^2 − 18x + 5. (e) Find the inflection points of the graph of f, if any.

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Q: Given the lim f(x) = 7 and lim g(x) = 11, what is lim[Ự(*)•g(x}}? %3D г. 28 b. 44 C. 77 If lim f(x) ...

A: we know that limit get multiplied when we apply to limit to multiplication of two functions , theref...

Q: Given the tabulated function 3 y=f(x) Use least squares to fit the data to a function of the form f(...

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Q: Find the general solution to the differential equation y''-4y'=8-16x

A: y"-4y'=8-16xf(D)=D2-4DAuxillary equation :m2-4m=0m(m-4)=0m=0,4m1=0 , m2=4

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

A: Given two lines, x=2-t, y=3+3t, z=4+3tAnd x=5t, y=1-15t, z=4-15tThat isx-2-1=y-33=z-43=t            ...

Q: ( sin' x cos³x dx

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Q: 80 and A is in quadrant 4. 89 Find cos(2A), if sin(A)

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Q: 24. 3e dx

A: topic - definite integrals

Q: Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x - 9)2 u- y = u2

A: topic - functions

Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial...

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Q: Find the sum of the convergent series. 16 Σ n(n + 2) n = 1

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Q: Find the slope of the line passing through the pair of points. Р(5, 4); Q(9, 20). m = 6 m = 5 m = 4 ...

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Q: (-2층). Consider the function f(1) = b passing through the point (-2,1 Question 1 The equation of the...

A: Find your answer below 

Q: 2x dx 67. 4

A: ∫xn dx = xn+1n+1+C ∫f(x) ± g(x) dx = ∫f(x) dx ±∫g(x) dx ∫a f(x) dx =a∫f(x) dx

Q: A ladder 15 ft long leans against a vertical wall, If the lower end is being moved away from the wal...

A: Given problem:- A ladder 15 ft long leans against a vertical wall. If the lower end is being moved a...

Q: 25 36. 2.

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Q: f(x) = é ーx46x? J6-6x -6 A) e-+6z² (-6x³ + 12x) + 2/6 – 6x Calculate f (x) 1 2/6 – 6x B) e-+6z° (-6x...

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Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: appropriate. If there is a more elementary method, consider using it. lim x→7  x − 7 x2 − 49

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Q: 18. x dx

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