Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim tan(x) x-0 tanh(x)

Q: What is the Order of the equation? O 1 O 2 O 2/3 Оз What is the DEGREE of the equation?

A: Follow the procedure given below.

Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

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Q: 4) Determine whether the series converges absolutely, conditionally, or not at all (Justify your ans...

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Q: Given the points A(-1,1,5) and B(2,5,0): a.) Find AB. b.) Find the equation of the sphere which has ...

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Q: of

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Q: Let h(x)=f(x)g(x). If f(x)=x2−3x,g(0)=−1, and g′(0)=−4, what is h′(0)?

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

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Q: What is the slope for the function y = 2x2 + 2 at the point x 3?

A: given y=2x^2+2

Q: Suppose y , evaluate + X -1 x+1 dx 4 4 а. + (x+1)* (x–1)* (x+1)° ' (x–1)° b. 4 4 с. + d. (x+1)* ' (x...

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Q: Solve, y = xy' + (y/(1+y))

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Q: iii) Set up an integral for the area of the surface generated by rotating the curve about the y-axis...

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Q: Suppose that a company introduces a new computer game in a city using television advertisements. Sur...

A: Important point e0 = 1

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

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Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

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Q: Determine the value of C for the given first order differential equation when x-2 and y=1. e*+y = e2...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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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: Find the limit. est - 1 lim t-0 sin(t)

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Q: a) If q(n) = byn* + Bk-1n*-1+...+ b1n+ bo is a polynomial in the variable ne N with be # 0, show tha...

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 E (-1,^...

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Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48,85...

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Q: representing all lines passing thru (-1,1)

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Q: The x(x² + x} dx has the value of 80 49, 49 60 49 50 а. b. 70 d. C.

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Q: 4x' 16х — 9у* + 20

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Q: 1 a³ + a?y + æ³ Vx+y In x – In y – e In(x – y)

A: We have to find which function is/are homogeneous.

Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20. Eval...

A: We have to evaluate the given Integral.

Q: x-1 ifx1

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Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x <4 а. 2 b.3 c. 0 d. 1

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Q: ædy – ydæ = (x² – y²)dy (tan y – 2)dæ + (* sec² y + +) dy =

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Q: If an object is dropped from a 151-foot-high building, its position (in feet above the ground) is gi...

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Q: Find an equation of the tangent line to the curve y =√x at the given point (4,2).

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Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is...

A: 1 angstrom = 10-8 cm total heightpitch = Total number of turns

Q: (a) Use the Trapezoidal Rule, with n = 5, to approximate the integral f 6 cos(4x)dx. T5 (b) The actu...

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other remaini...

Q: The revenue equation (in hundreds of millions of dollars) for barley production in a certain country...

A: If R (x) is the revenue function then R'(x) is the marginal revenue function.

Q: 1. Use the graph below to find the integer value(s) of x where the limit does not equal a finite val...

A: From the figure we can see that as x approches to 3 than function value goes to infinite.

Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

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Q: Find the volume of the solid bounded by the paraboloid z=2 +x2 + (y - 2)2 and the planes z=1, x= -1,...

A: We are asked to find the volume.

Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

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Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A:   ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1 dt...

Q: B. Determine if lim f(x) = f (c) 24C 1. 18)-x+2; c =-1

A: f(x) = x+2 c = -1 f(c) = f(-1) = -1 + 2 f(c) = f(-1) = 1  

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

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Q: y = Che- + C2e-2 + x %3D y - 3y – 2x + 2y +3 = 0 Option 2 O None of the choices y/" - 3y - 2x - 2y+3...

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Q: Brandon stated that a flying disc had a circumference of 43.96 in. Eliza wanted to find the area of ...

A: Give query is to find the are of the flying disc whose circumference is 43.96 inch.

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

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Q: Find the inverse function of f. f(x) = x x + 3

A: Given: f(x)=x/(x+3)

Q: Write the equation of the circle in general form that will satisfy t conditions. C. 25. Center 5:4, ...

A: Given that: 28. Line segment joining (0, 7) and (-6, -3) is a diameter.30. Center is at (0, -9) and ...

Q: Determine C when x=y=O (xy + x)dx = (x²y² + x² + y³ + 1)dy C=0 C=1 C=-1 None of the Choices C=2 C=-1...

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Q: Evaluate the limit. Vx2 lim x² + 3 3x2 + 1 x- 00

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Q: 34. y = -x2 + 6x – 8, y = 0; about the x-axis %3D

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Q: Calculate the absolute and relative errors in the expression: a 2b – 2cb +, if the measurement of a ...

A: The given expression is: 2b-2cb+ab