What is the instantaneous rate of change for α=arctan(2-r/r) at r=0

Q: Determine C when x=y=0 (xy+ 2)dx = (x'y +x² + y? + (z²y + z? + y} +1) dy %3D

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Q: E) + ») dy = 0 4x3 3 dx + y 3x

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Q: Determine the value of C for the given first order differential equation when x-2 and y=1. e#+v/ = e...

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Q: A function f is given, and the indicated transformations are applied to its graph (in the given orde...

A: Topic:- function and its transformation   

Q: x- 9 lim x-9 x²- 81 2.

A: Topic   = Limits

Q: The graph of the inequality is shown above. The right-hand side of the inequality symbol must be a n...

A: Given,

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5 ;Y...

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Q: Consider the function (* if a 1 Evaluate the definite integral. f(x) dr

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

A: We have to solve the limits

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Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

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Q: 1 2) Evaluate n(n + 1)(n + 2) n=1 A B + n + 1 1 Hint: Find constants A, B and C such that п(п + 1)(п...

A: We are asked evaluate the given

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

Q: 5. f(x) = 2x2 – x + 6 for all values of x | 6. f(x) = 5 at x = 2 х-2

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Q: (smaller t-value) (х, у, 2) %3 (larger t-value) (х, у, 2) =

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Q: 59. HOUSING STARTS Suppose that in a certain community, there will be M(r) thousand new houses built...

A: The function M(r) is given as  M(r)=1+0.02r1+0.009r2

Q: 7. y = x², y = 6x – 2x²

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Q: EVALUATE DE y²/x(x+y) = -y'

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Q: 2. Y = (7x + 2)s ;Y"

A: Given : y = (7x³ + 2)⁵

Q: of

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Q: Use  f(x) = 4x − 5  and  g(x) = 6 − x2  to evaluate the expression. (a)    f(g(0)) =   (b)    g(f...

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Q: Solve the following inequalities by the verification method and indicate the solution set on the rea...

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Q: (3x*y+4.xy +6)tx + (x³ + 6x°y² -1]ty = 0 1.

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Q: Find an equation for the paraboloid z = 2 – – (x² + y²) in cylindrical coordinates. (Type theta for ...

A: Given: - The equation is, z=2-(x2+y2) To find: -The equation for the paraboloid in the cylindrical c...

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

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Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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Q: The annual net income of General Electric for the period 2009-2013 could be approximated by P(t) = -...

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Q: y = 2xy – x In(2y – 1) = –a² +C y = e**C + • Option 2 Option 3 In(2y + 1) = –x² + C Option 4 None of...

A: We need to choose correct option.

Q: 1. y+/x +y = x at ( 3, 1)

A: Part 21,Given,            y+x+y=x , 3,1To find : The equation of the tangent line and normal line.

Q: Question 5 Find the value of df/dx at x = f(a). f(x) = x - 3x + 5; a = 5 1.

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Q: Maximize z = 8x + 2y subject to: x+ y54 2x + ys 5 x2 0, y 20 The maximum is at (Give this answer as ...

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Q: region bounded by the parabola y=4x-x^2 and the x-axis is revolved about the x-axis. A second region...

A: This is a question related to volume generated by solid revolution. Based on the plotting of graph w...

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the sa...

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Q: Let S be the plane with the equation x + y – 3z – 6 = 0. - Find the distance between this plane and ...

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Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2

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Q: e*+y = e2r-y %3| C = e? C = -e? Option 4 Option 3 1 2 None of the choices Option 2

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Q: The solution of a certain differential equation is of the form y(t) št = ae + bet, where a and b are...

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Q: 1.. The differential equation (3x² + 2.xy + 4y²)

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Q: You need not expand your answer. dx Calculate y = (x + 4)(x2 – 4) Ap dx

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Q: Find the error propagated from the function y = 3x* if an error of 0.06 occurs in the independent va...

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Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos'x- 1) dx = 0

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Q: Cost OF REMOVING Toxic WASTE A city's main well was recently found to be contaminated with trichloro...

A: We have to find  C'(80), C' (90), C'(95), and C'(99).

Q: The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

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Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8...

A: see below the answer and explanation

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O...

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Q: Question Select your answer. if a 4 1 4 16 does not exist 2.

A: Given f(x)=1xif x<4,x2, if x≥4that is if domain of the function less than 4 then function is 1xIf...

Q: Evaluate using trigonometric substitution ∫1/(4x^2+16)^3/2 dx

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