2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

Q: 3. dx Vx (2+3/2)5 3 3 dx = Vx (2+3,/x)5 Vx (2+3x)5 X,

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Q: 100e0.1z thousands of Over the next 5 years, a company projects its continuous flow of revenue to be…

A: To find the expected profit of the company

Q: TE: Enter the ezact answer. y =z²+3 y =r 3

A: given is   region bounded by               y=x and y=x2+3              x=-1 to…

Q: Find the length of one arc of a cycloid generated by a circle of radius R = 6. Hint: Use the…

A:

Q: Which of the following numbers is a rational number? V25-1 V5 O the above the above the above None…

A: We need to choose correct option.

Q: (x³-4) dx x3+2x2+2x

A: Here we have to integrate the given Integral.

Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis.

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Q: +00 dx Evaluate the improper integral x (In x)?

A: To solve the following integral

Q: Question 5 of 10 A spring whose natural length is 13cm exerts a force of 37N when stretched to a…

A: Let's find.

Q: Find the area bounded by the curve y = 4x - x2 and y = 3.

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Q: (0) (4) | 童 9. 4. 2. 2. Question 4 OE OB () 91 3. (a) (V) (B) What is the area of the region between…

A: Given query is to find the area bounded by the graphs.

Q: Write the following first-order differential equations in simplified standard form. dy (5х + 3)у +…

A: We have to write the given first order differential equation in standard form .

Q: For what values of a, if any, does the series shown below converge? 00 a 2 Σ n+6 n+9 n= 1 Select the…

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Q: Find the area of region bounded by the curves y = x² and line y=x.

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Q: Find Duf at P. 1 2. f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u %3D - -

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Q: dr 4.

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Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: Find the area of the region bounded by y = ¾(x + 2), x = 2 and the x-axis.

A:

Q: B. Directions: Determine whether the following functions are continuous on the given interval. x-5…

A: 1).f(x)=x-5x2-x-6f(x)=x-5(x-3)(x+2)⇒Function is discontinuous at x=3 and -2And 3∈(-1,3)Therefore…

Q: dx 1- S 4+x2

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Q: Find the work required to haul a load 100 feet by a 100lb force acting on the load at a 20° angle.…

A:

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

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Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

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Q: What is the volume of the solid formed by revolving the region bounded by a2 = 6y and y = 6 about…

A:

Q: Directions: Answer what is indicated in each number. 1. Find the derivative of f(x) = 3x², and…

A: 1.  f(x)=3x22. The curve y=2x2+3

Q: d d Calculate ri(t) · r2(t)] and [r(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: 5. y = ecos x + x? 6. f(x) = 3secx %3D 7. y = log sec x

A:

Q: - answer to part (a), determine the inflection points of f. Each point should be entered as an…

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Q: 1. Find the Maclaurin series for the function x2 In(4+ x). Also find the associated radius of…

A:

Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A: We have to find linearly independent solution of given differential equation.

Q: f(x) is a sin function with amplitute 1, and is such that f(0)=0 f(1)=0 f(x) >= 0 for x element…

A: f(x) is a sin function with amplitute 1, and is such that f(0)=0 f(1)=0 f(x) >= 0 for x element…

Q: Find the parametrization for the line through (-4,9) and (8, 13). (Use symbolic notation and…

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Q: cosh? Vx 4-S- dx Vx csch vx

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Q: 1. f'(x)dx if f(2) = 1 2. f(x) = S(x² + x – 3)dx if f (2) = 3 3. f(x) = S xe*dx if f(2) = 3 4. f(x)…

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Q: Solve

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Q: f(x + Ax) - f(x) D. APPROXIMATE DERIVATIVES f (x) Ax 7.) y = x2 +7x – 10

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 is Select one: m – 4m2 – 12…

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Q: A. Direction: Use the definition of continuity of a function at a number in determining whether f(x)…

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Q: 3. S**dx х2-1

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Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: x In x dx. Use

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Q: Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 --…

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Q: 14. 2x2 – x³y' = y3 %3D -

A:

Q: Consider the following. f(x) = x4 + 6x2 – 27 - (a) Write the polynomial as the product of factors…

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Q: Evaluate the integral (3x – 1)(V+ 1)da. -

A: In this question we have to find the Integration.

Q: ssignment : Determine the integral of the ff. function 1. S- 6 dx 2. S5 х4 dx 3. S ( 4 x7 + 7) dx 4.…

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Q: . Solve the boundary value problem y" – 18y'+81y = 0, y(0) = -3, y(1) = 1.

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Q: ex - (1+ x) Use series to evaluate lim 6x2 ex-(1+x) lim %3D 6x2 (Type a simplified fraction.)

A: