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Q: Find the general solution of the differential equation y" – 10y' + 29y = e-*

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Q: . Solve the following inequalities and write the solution in interval form i) 2|2x+7| +2 <24

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 4· 10…

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Q: 26. Find a unit vector whose representations are perpendicular to the plane containing PQ and PR if…

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Q: 7) A tumor is found with an initial mass of 3.5 grams. Its growth rate is measured and recorded in…

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Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: The height y (in feet) of a ball thrown by a child is 1 x² + 6x + 5 14 y = where x is the horizontal…

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Q: 1) Determine the singular points and ordinary points of the differential equation: z (r – 5) y" +…

A: Given ODE is: x2(x-5)2y''+4sinx y'+(x2-25)y=0which can be written…

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: Find the antiderivatives following function. 1. f(x) =x' - 3x² +7x +e*

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Q: Direction: Evaluate the following functions. Show the step by step process by using the limit laws.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: For the following population model (in billions):…

A: As we can see these three are different questions and do not depend on each other. According to the…

Q: Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x and then take…

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Q: Estimate the indicated derivative by any method. (Round your answer to three decimal places.) dy y =…

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Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

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Q: (3e² + 5æª + 6 cos a + 2)dx : 3e? + x + 6 cos a + 2x + c 3e + a + 6 sin a + 2x + c et - x5 + cos z +…

A: Given problem:- ∫ (3ex+5x4+6cos(x) +2) dx

Q: 7. Find the linear approximation to f(1) = VI at a = 27. a. Use it to approximate 27.2. b. Use a…

A: Given problem:- Find the linear approximation to f(x)=(27)(1/3) at a = 27 . a. Use it to approximate…

Q: sin(z) Find the derivative of the funciton F(x) = In(1 + 6v) dv. F'(x) =

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Q: Three slopes are given. For each slope, determine at which of the labeled points on the graph the…

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Q: 2. Let a,, az,.., a, be numbers. Show that there is a single number r such that foxo: (-a,) + (z –…

A: Solving

Q: 4. Evaluate y = sin¬1 (x) when x = 1 %3D O 37 2 -1

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Q: Consider the function f(x) that is described by the statment: " the function decreases to the point…

A: Find your answer below

Q: Evaluate: (12t3-9t2 + 7)dt

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Q: se the cross product to find an equation of th (3. 4.-1) 32. (a. b.

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Q: S(x + e*)²dx

A: Solving the problem by finding the value of the integration.

Q: Problem 6. The following series are geometric series. Determine whether each series converges or…

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Q: Find the degree 3 Taylor polynomial T3 (x) of function f(x) = (-7x + 46)³/2 %3D at a = 6. T3(x) =

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Q: | Evaluate the definite integral: 4+ 5x? dx

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Q: Evaluate the integral. 1 | (4 + r)³ dr

A: Given query is to find the value of the integral.

Q: Find the following indefinite integrals. x* – 5x dx. 2. x3

A: Answer is given below.

Q: 3x2 + 2x – 10 A + -1 B C al I x3 + x? - 10x + 8 dx using x+4 x- 2

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Q: Evaluate the definite integral: 7/4 1+5 cos2 (t) dt cos? (t)

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Q: Find the Jacobian of the transformation. x = 4e sin(20), y = er cos(20) a(x, y) a(r, 0)

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Q: The antiderivative of the function f(z): + 9z is +3.0z² +c + 4.5z² + e 6 + 4.5z? + c -6 4.5z2 +c +…

A: Antiderivative of function f(x)=6x2+9x is…

Q: Use the Integral Test to determine whether the infinite series is convergent. Σ n2 n=19 (n3 + 6) ?…

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Q: A builder must fence all sides of 3 adjacent rectangular lots, each having 168 m2 of area. Front…

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Q: Evaluak the following limits 9-x VX-3

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Q: 1 1+x3

A: ∫11+x3dxSince a3+b3=(a+b)(a2-ab+b2)∫1(1+x)(1-x+x2)dx

Q: 27. Find an equation of the sphere satisfying the ff. a. The vertices of a cube are on the sphere,…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x2 + 2x – 2) dx…

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Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

A: To prove the limit of given function using the epsilon delta definition of limit which states that…

Q: Evaluate the definite integral: 3 dr 3

A: We need to evaluate the following integral ∫13x3-3xdx

Q: Situation: You are a private consultant for Fortune 500 companies, and you are negotiating your…

A: We have to find the money over 5 days and which option is best.

Q: An open topped box is to be made from a rectangular piece of metal 18cm x 48 cm by cutting off…

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Q: ·In(x) 8. dx

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Q: Determine where the function is concave upward and where it is concave downward, (Round your answers…

A: Solve the following

Q: Find the absolute maximum value of f(x) = x² - 2x +9 over the interval [0, 5] |

A: Given problem:- Find the absolute maximum value of f(x) = x2 - 2x + 9 over the interval [0,5]

Q: xsin-1x dx V1-x2

A: We know, ∫udv=uv-∫u'vdv ddxsin-1x=11-x2