Let g(x) = x² - 1x - 23. Find x such that (x, 7) is on the graph of f(x). Ox=-6 or 5 O x = -5 or 6 O x = 6 Ono solution

Q: write The marginal Cost X yards of fabric ('(x) = 3-0.01x + 0.0000 12x² in dollars per yard incost…

A: We can write the integral and find the cost .

Q: The work done by a sliding piston is given by the expression wd = ∫3t2 + 2t dt use integration to…

A: We need to determine Work done.

Q: Determine the value of k so that ū = [-5, k, 3] and = [1,2,- 7] are orthogonal.

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Q: Estimate the error that is made by approximating the sum of the given series by the sum of the first…

A: Here, we use the concept of the remainder term in the integral test in order to determine the error.…

Q: 2. For these systems of ODEs find the general solutions: 34 (a) x' = (3₁) x, x(0) = [1,1]T 32

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Q: e) find f dx (1-x)(2+x) ( Hint use partial fractions )

A: ∫(1-x)(2+x)dx

Q: 46) In- A) = -2 = -2 B) e-2 = -1/2/2 e² (2²-0 = e D) -

A: NOTE: Refresh your page if you can't see any equations. .

Q: 5) The function g(x) is always negative and has an average value of -12 over the interval 0 ≤ x ≤ 5.…

A: To find the area between the curve y = g(x) and the x-axis over the interval [0, 5], we need to…

Q: Solve the given LDE using the method of undetermined coefficients. (D² + 4D+5) y = 35e-4; y(0)=-3,…

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Q: For each of the indefinite integrals below, the main question is to decide whether the integral can…

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Q: 21. f(x) = ln (5 - x)

A: 11-u = ∑n=0∞ un = 1+u+u2+u3 +...

Q: Given a = 6, b = 10, and c = 5, use the Law of Cosines to solve the triangle for the value of B.…

A: The sides of a triangles are a=6, b=10 and c=5.To find : Use the Law of Cosines to solve…

Q: 23. 23, 24, 25 and 26 Find a power series representation for f, and graph f and severa on the same…

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Q: Determine of the following series { (-1)" n=1 the convergance и 2n+1 or divergence of each

A: We need to determine whether series converges or diverges.

Q: Find the area bounded by the curve y^2 + 4y and the y-axis and draw a sketch. Please, answer…

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Q: 9>x>p 95x5+ 9>xsp O None of the other choices 9>* ( 6>xsto

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Q: 3 1 2Y s (x2+y2)dxdy

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Q: 34) If 4X = 3,what does 4-2x equal? A) 금 B) 9 C) -9

A: 34) The equation is 4x = 3 To determine: The value of 4-2x.

Q: if f(x) = 19 9² (4) = 3 Where find f'(14) √x g(x), 9(4) = 2 and

A: if fx=xgx

Q: Find the volume of the solid constructed by rotating the region under the curve f(x) = e¯ on the…

A: Volume of solid generated by revolving f( x ) about x axis is given as  V = ∫abπy2dx Given function…

Q: Given the sequence an +4): In 2+ This sequence is Select an answer This sequence is Select an answer…

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Q: 9) Find the arc length of r(t) = (cos 4t, sin 4t, t) from t = 0 to t = 2.

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Q: First find ƒ' and then find ƒ. ƒ"(x) = 5 − (2x³ + 3x²), ƒ'(1) = −3, f(1) = 3. ƒ'(x) f(x) = = 0

A: f''(x)=5-(2x3+3x2),f'(1)=-3,f(1)=3

Q: point

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Q: Let G be the region in the plane the curve ▷ and x=1. ▷ bounded by y= ex and the lines y=-x+1 a)…

A: The given curves are: y=e-x,     y=-x+1     and    x=1

Q: 2. A student named Light happens to know that the total cost of producing a boxes x² of potato chips…

A: A student named Light happens to know that the total cost of producing  x boxes of potato chips is…

Q: 9) Use the table of values below to find the average value of f (x) over the interval 0≤x≤ 20. Show…

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Q: Find the value of the constant a such that the function f(x) is continuous for all values of x. 4…

A: fx=ax+4xx<2ax2x≥2

Q: Find the trigonometric form of the complex number shown below. 10i

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Q: The sequence is defined recursively. Compute the first five terms in the sequence. a₁ = 3; an =…

A: Given sequence is  an=a2n-2+2

Q: evaluate Si -14 V16 x² dx

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: 26.

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Q: : + 8)³ + (x + 8)−¹ for 1 ≤ x ≤ 2. Find the arc length of y = 1/2(x + (Give your answer to three…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Consider the following. 7 dt 1²= V 49 + t² Let t = 7 tan(0) and determine the following. dt = t =…

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Q: Find the first term In a geometric sequence in which the common ratio is 5/4 and the tenth term is…

A: The general formula for nth term of a geometric sequence is given by tn=arn-1  Where, a is the first…

Q: Test the series for convergence or divergence using the Alternating Series Test. √n 4n + 5 Identify…

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Q: 8. Consider the function F(x) = f, 3x² - 4x +7 dt. Find the equation for the tangent line to F(x) at…

A: The function is Fx=∫-1x3x2-4x+7dx.To find : Find the equation for the tangent line to Fx…

Q: Consider the function(x)=20x²e-3x inflection at x = A. -0.2440 and 0.9107 B. 0.2357 and 1.1785 C.…

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Q: Evaluate the following limit by first recognizing the sum as a Riemann sum for a function defined on…

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Q: Create a limit evaluation problem that requires substitution with an answer of 1.

A: limit evaluation problem

Q: Test the series for convergence or divergence using the Alternating Series Test. Σ (-1)^ n=1…

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Q: Express the sum without using sigma notation. Simplify your answer where possible. Σ 3 logio(1) J =…

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Q: A vertical pole 32 feet tall stands on a hillside that makes an angle of 17° with the horizontal.…

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Q: 10) The graph of h (x) is shown below. Find the average value of h (x) over the interval [0, 10].…

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Q: Let v(x, y, z) = (9x² + 5y²z)i + (2xz + 6y)j + (10x³y +62) k be the velocity field of a fluid, and…

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Q: If a cup of coffee has temperature 90°C in a room where the ambient air temperature is 22°C, then,…

A: Given that, T(t) = 22+ 68e-t53 We know average value in [a, b] is, Tavg = 1b-a∫abT(t) dt Here, we…

Q: Which of the following vectors is NOT perpendicular to vector u -5,2,1] =

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Q: O 6 (cos5+ i sin )

A: Since the complex number lies fourth quadrant So sin value negative and cos value positive

Q: 17. (8.06)2/3

A: