A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a straight path. If the tip of their shadow is moving at a rate of 3 feet per second when they are 20 feet away, at what rate are they moving away from the pipe?

Q: Express your answer as a polynomial in standard form. f(x) = -3x + 5 g(x) = x² + 2x + 15 Find:…

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Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

A: Note:-Since you asked multiple questions according to our polcy we can answer only first question…

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A: Given,

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A: We have to use the concept of derivatives

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A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

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Q: Find all exact solutions on the interval 0 ≤ 0< 360°. If there is more than one answer, enter them…

A: 2 cos(theta) = - sqrt(2), [0,2 pi)

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A: The given integral .The aim is to find the solution to the integral and sketch its graph.

Q: 3. The behavior of the system is a spiral source. x' = y' = = 3x + y, -x + 4y

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Q: Find the indicated term of the binomial expansion. 13 (u³ +21²) ¹³₂ ; tenth term

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Q: 27. Maximize z = 5x + 8y subject to x ≥ 0, 2x + y ≤ 8, and x - 3y = -3. of flare

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Q: Find the radius of convergence and the interval of convergence of the power series. M8 n=1…

A: Radius of convergence is half the size of interval of convergence.And we use ratio test to find the…

Q: Find the area of the blue region. It is the area under the curve. y 8 6 4 2 y = 3x + 1 y=8-x

A: We have to use the concept of definite integral

Q: 06

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Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

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Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

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Q: h. f(v) = sin v y cos x + xπ f(t) = et i. j. k. y = ln x 1. m. y = y = 5 cos x + 8 ln x + 3x³…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Find a power series representation for the function. ( ) = n( 11 + y )

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Q: The function s= -1³ 31²-31, 0sts 4, gives the position of a body moving on a coordinate line, with s…

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Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

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Q: 8. An engineer invests $27,000 in two bonds. If one 7% and the other yields 9%, how much is invested…

A: Let engineer invest $x on one bond which yields and  on another bond which yields

Q: Use chain rule to find the derivative of the following functions: a. y = sin(5x) b. y = cos(x²) c. y…

A: We have to find the derivative of the following functions by using the chain rule.Chain Rule: In…

Q: he table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx…

A: Consider the given table in the question.Given that n = 3&amp;#x25B3;x=b-an"…

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Q: 3 [³ ex dx = e³-e, use this result to evaluate Given that 3 [²70 7ex +4 dx.

A: Given,.Let assume,

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

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Q: Use special limit rules to discuss your response, you may use any graphing tool to support your…

A: In a n-sided regular polygon, the angle made at the center is the division of the total angle of a…

Q: Evaluate the following limit lim X→∞0 O O O O I 8 0 10/00 8 −5x² +6x³ + 3x² − x 8x² − 2x³ + 3x - 8

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Q: A company incurs debt at a rate of D'(t) = 102(t+10) √ ₁²+ + 20t dollars per year, where t is the…

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Q: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

A: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

Q: Find the Taylor polynomial of degree 3 of the function f(x) = arctan(9x) at a = 0. T3(x) = ||

A: f(x)=arctan(9x), a=0

Q: 3. Use the figure to answer the questions. B M Answer: D C (a) Which pair of corresponding angles do…

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Q: 18. Find the value(s) of c that satisfy the equation f(b)-f(a) = f'(c) in the conclusion of the Mean…

A: GMean Value Theorem

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Q: 2 The decibel level, D, of sound is given by the equation 10 (1).» where I is the intensity of the…

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Q: Express the function as a power series by first using partial fractions. f(x)= 2x+5 x2+5x+4

A: Given: f(x)=2x+5x2+5x+4let's first factor the denominator and then use partial fractions.The…

Q: Suppose that lim f(x) = 10 and lim g(x) = -4. Find the following limits. X-3 X-3 a. lim [f(x)g(x)]…

A: According to the guide line we do only the first three parts of multiple part questions.

Q: 13. For the following limits, verify that direct substitution yields an indeterminate form. Then use…

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Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: Find the volume of the solid obtained by rotating the region bounded by the x-axis, the y-axis, the…

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Q: Let (a) Evaluate det1B 2 by expanding by the second row. (b) Evaluate det1B 2 by expanding by the…

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Q: me limit definition of the derivative to find dx for f(x) = √-4x.

A: Given that the expression

Q: 4x (11 + x) Find the first few coefficients. Suppose that CO C1 = C2 = C3 = C4= ∞ n=0 Cnx". Find the…

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Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: 3 fff Sayz dv= - S₁² S₁² ² 8zyz dz dz dy 2

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Q: Evaluate ∫∫∫E 1/(x^2+y^2+z^2 )dV where E lines between the spheres x^2+y^2+z^2=4 and x^2+y^2+z^2=16…

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Q: d. y = 2x+1 x²-4 5x+1 e. y = 2√x-1 f. y = sin x ln x-1 x²+1/

A: To find the derivative of the following functions.

Q: Consider the following function. T 3 π f(x)=sinx, a ==, n=4, 0≤x≤: 6 a) Approximate f(x) by a Taylor…

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Q: Find the limit of f(x) = lim f(x) = -5 9√x+x 3x-9 X→∞ (Simplify your answer.) as x approaches co.

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