Given the function P(x) = (x – 1)²(x – 4) - -

Q: Construct a table and find the indicated limit. Vx +2 If h(x)= x-8 then find lim h(x). x-8 Complete…

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Q: Question 1 Compute v31.6 approximately by use of differentials. O 1.995 O (E) None of the choices O…

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Q: dx (9 – 4.x²)³/2 2,3/2

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Q: 8x + 1 10. Evaluate the integral / dx. 4.x2 + 12x + 10 11 (a) In |4.x2 + 12x + 10|| tan-(2x + 3) + C…

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Q: 2. Find the volume of the solid bounded by z = 0, x = y2,z= 3, x = 4 - y2. (graph the solid)

A: Given problem:- Find the volume of the solid bounded by z = 0, x = y2 ,z= 3, x = 4 - y2

Q: 1. dr COS 2. sin

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x intercepts…

A: Solve the following

Q: x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and…

A: As per guidelines of Bartleby I am supposed to answer only first three parts of this question. If…

Q: 2. Which of the following is a valid trigonometric substitution? (a) If an integral contains 9- 4r2,…

A: Here, to find the valid trigonometric substitution.

Q: Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB. %3D

A: This question is based on vector projection.

Q: dx 8. Evaluate the integral / zlnrV(In x)² – 8 x In a V(In a)2 – 8 |

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Q: y=v16-x 2.

A: This question is based on application of integration.

Q: (x)soɔ xp (x)us 19. Find

A: Given problem:-

Q: The approximation of / (x-3)e* dx by composite Trapezoidal rule with n 4 is: 4.7846 -25.8387 This…

A: Given:∫02(x-3)ex2dx

Q: Determine the nth term for a sequence whose first five terms are 2 8 26 80 242 2' 6 24 120 and then…

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Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: b). Using gamma function, evaluate Sx6 e-2x dx

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Q: plz

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Q: f (x+h)-(f(x) 7. In finding the limits of the difference quotient ,on what value does k approach? a)…

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Q: d of Variation of Parameters: [D² - 8D + 16]y = e4%sec2 %3D

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Q: Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the…

Q: Suppose that a cylindrical can is designed to have a radius of 1 in. and a height of 5 in b the…

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Q: 5 sin(0) – cos(0) dO Evaluate: со

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Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: c) y(x) = c, + cz + Acos3x + Bsin3x Q.6) The singular point (s) of (x² + 4)y" – x y' + 4y = 0 , is…

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Q: Find the solution of the differential equation dy x+y=x²y² dx

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Q: Evaluate the integral. (Use C for the constant of integration.) | 8 sin (x) cos°(x) dx

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Q: x +729 lim x+9 X-9

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Q: Solving berneulli differential equation dy Xp

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Q: .What is the limit of the sequence an = [(n2 - 1)/(n2 + 1)]n

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Q: Use algebra and the properties of limits as needed to find the given limit. If the limit does not…

A: We can find the limit of the function. Firstly make factor in numerator and denominator and solve .…

Q: The solid shown in figure consists of cone of radius (r) and height (h) and a hemisphere of radius…

A: Given : h(t) = 2t2-6 (cm)              r(t) = 8-t2 (cm)                t= 2 sec

Q: An entrepreneur decided to set up a soda business. Due to this intention he bought a PET bottle…

A: 1 year = 365 days

Q: 2. Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB.

A: ProjBA=B⇀.A⇀A⇀

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: 1- x dx 3.

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Q: xVx +1 dx

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Q: 4. Determine the equation of the plane passing through the point (1, –4, 3) and parallel to x – y…

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Q: 3. Determine the balance A for $7,000 invested at a rate of 4.5% for 20 years, compounded a. Monthly…

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Q: 1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding…

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Q: Convert to a rectangular coordinate. Convert to a polar coordinates. 5T 10. 11. (-4,4)

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Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y= 5-x^2 and the…

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Q: dz dz and at 3. Let z = x? + y, a = 2st and y = s - t2. Compute for

A: Answer (3)  Let z = x2 + y3 , x = 2st and y = s - t2  We have to compute for ∂z/∂x and ∂z/∂t

Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

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Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x

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Q: 4. Let z = x2+y, x 2st, y = s - t2, s = u", and t = usin w. Compute for

A: To find the partial derivatives using chain rule

Q: The integral sin(x- 2) dx is transformed into f, g(t)dt by applying an appropriate change of…

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Q: Determine the inverse Laplace transforms of: 2s²-5s-1 (a) (s+3)(s²+9)

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