Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a horizontal asymptote y=6. Determine the coordinates of the hole.

Q: Find the total area enclosed between y = x and y = x over the interval [-1, 8]. NOTE: Enter the exac...

A: This question is based on application of integration.

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Q: 1. To set up wastewater plants and connect the trailer and low-income households to the nation's sew...

A: in this question have to find formula for cost-benefits analysis formula for this we have to substra...

Q: a) dt 9 =dx xVln x b)

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Q: The derivative of the function y = sin-1(ex – In x), where Je* – In x| < 1, is:

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Q: Find F' () if F(x) = 2 cos¯1 Vx.

A: To find out the F'(1/2) 

Q: Find the volume of the solid obtained by rotating the region bounded by y = x , y = 0, a about the y...

A: Given query is to find the volume finthe solid generated.

Q: Consider the points A(3,-3, 3), B(4, -5,0), C(-3,-4,0), and D(6, 2, -6). (a) Find the volume of the ...

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Q: 1. lim(2x + 4) x-3

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: Evaluate the given definite integral by any applicable method. * 11. | ° cos³y sin³y dy 2 b.: 30 1 d...

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Q: Determine f'(1) if f (t) = log10,ti t+1 17 Your anSwer

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Q: And the Inverse function ofr over the glven Interval. Describe the relationship between the graphs. ...

A: f(x)=xx2-9y=xx2-9x2y-x-9y=0(Quadratic equation):comparing with:ax2+bx+c=0roots are:-b±b2-4ac2ahere, ...

Q: 2x3+3x dx x*+3x2 C A 2 In I x4 + 3x² I+ C In I x4 + 3x² |+ C In Ix4 + 3x? I + C - In Ix* + 3x? | + C...

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Q: Using an appropriate substitution, (cos-1(x)) e the integral f dx equals: V1-x2

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Q: Given F(x)=2f(xr)-g(x) and f(-1) = 2. f'(-1) = 3,9(-1) = -5,9'(-1) = 4, find F'(-1). %3D %3D

A: We can find the answer as below.

Q: If f(x) = 8 cot 1x + 4, then find the value of f'(-3) is -8 10 8 10 3 10 4 10

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Q: Which of the following is/are true of f(x)=(x+3)*at x = -3? A. Continuous at r=-3 B. Discontinuous a...

A: We want to choose correct statement from given options.

Q: 1+ 2t Find the laplace transform of (i).

A: Laplace transformation.

Q: Evaluate the indefinite integral sin (2)cos (2)da = 3

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Q: Evaluate the integral. de +C VI- 25 NOTE: Enter the fully simplified answer with no fractions under ...

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Q: a2 - 3x + 1, r 3 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) I +...

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Q: g3 (*° – 2x² + 1)dx 9. Evaluate the definite integrals (give exact answers): •3 a) | (2x+3)(x – 5)dx...

A: Given that, There are two integral given, a). ∫23(2x+3)(x-5)dx b). ∫121x3(x3-2x2+1)dx We have to fin...

Q: Find the indefinite integrals: x5/2 + 4x +1 a) / 2 + Te' ) dt t3 6t +

A: We know that ∫xn dx = xn+1n+1+C         n≠-1 ∫1x dx = lnx+C

Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

A: Given

Q: Tind the vectors that satisfy the stated conditions. VOTE: Enter the exact answers using the provide...

A: We will find the vectors satisfying the above conditions. 

Q: 3. sin x cos y dx + cos x sin y dy

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Q: 1. Find the derivative for each of the following functions Simplify and factor when possible! a) g(x...

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Q: How could you find an unknown number missing from a fact triangle?

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Q: 26 1. 2.0 F28 20 1. -20

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Q: 34x + 16 f(z) g(z) The partial fraction decomposition of 8x2 can be written in the form of - 14x + 3...

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Q: 1. Find the solution the following initial value problem. You will need to evaluate the integrals bu...

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Q: 34x + 16 f(z) g(z) The partial fraction decomposition of can be written in the form of 8x2 - 14x + 3...

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Q: Let a = ci + j and b = 4i + 8j. Find c so that a and b are orthogonal.

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Q: 36x2 + 25 dx x2

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Q: 2. Express in indicated derivative in terms of the function F(r). Assume that F is differentiable. D...

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Q: Which of the following is/are true of f(x) =(x+3)*at x = -3? A. Continuous at r=-3 B. Discontinuous ...

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = = +4 A =

A: We have to find the area of the shaded region of the figure given below.  Cleary the shaded region ...

Q: Select ALL possible answers if there is more than one. Which of the following statement's is/are NOT...

A: To solve the following problem

Q: consider a ctosed Kectangutar box with a If base side ir measured with ekror at H.w.y squak bare and...

A: Write the formula for the surface area and volume and then apply total derivative. 

Q: y = f VI + t? dt Y : 0. t2 dt

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: (a) Given: - The condition is the same direction as -2i+9j. To find: - The unit vectors that satisfy...

Q: 144. Identify the length of the curve y = x over the interval [2,6] 49

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Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: dx x In x A 1 lnxl+ C C In I In xl + C 3 B 3 In I In x I+ C D ! In I In x I+C 3 A В C D E None of th...

A: I have stated the used formulas in the solution.

Q: F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parall...

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Q: Evaluate f'(-2) if f(x) = x* – 5+ x-2 + 4x-4.

A: The detailed solution is given below Thank you 

Q: Investigate the three special functions by performing the following task. Write an a comparison of y...

A: Let's find. 

Q: dy For f vỹ+'Y = vy+/ O y = u^2 O y = u^4 O y = u^(1/2) O y = u^(1/4)

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Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: The given problem is solved below in detail.

Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt