Given a function r(x) such that r' (x) < -4 on [5, 9]. If r(5) = -9, which of the following could be the value of r(9)? Select all correct values.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Find the volume of the solid whose base is the circle x² + y² = the x-axis are triangles whose heigh...

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Q: Use the ratio test for absolute conve 00 5k k=1 If p = + 0, enter "inty". p = i The test is inconclu...

A: series

Q: 1 i. g(x)= 3+9x? 1- 5 (Ans: (x+ x²)*. X + (x+ x -3 X + (x + x³ ) ³

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y ...

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Q: The profit for a product can be described by the function p (x)=202x– 5000–x² dolars maximize profit...

A: Follow the procedure given below.

Q: Find the equation of the tangent line to the curve y= 3x^2 - 2 passing through the point P(-1,1) .

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Q: a. Determine the points where the curve 4x + 5y - y = 6 has a vertical tangent line. b. Does the cur...

A: a)  curve is 4x+5y2-y=6         Slope of tangent line is m=dydx    Differentiate the above equation ...

Q: 50. x = f(p) = 875 - p- 0.05p (A) p = 50 (B) p = 70 (C) p = 100

A: Let's find. 

Q: dx а) Зx2 x3 + dy 8(у + 1) — 0 - у+1

A: Based on the general formula of differential equation we will solve the question. First by substitut...

Q: Work of 3 Joules is done in stretching a spring from its natural length to 14 cm beyond its natural ...

A: Let's find. 

Q: II. Determine whether the following sequence is convergent or divergent. Justify your answer. {I+u^ ...

A: A sequence unn∈N is said to be monotonic increasing if un'≥0 ∀n∈N A monotonic increasing sequence is...

Q: (x – x2 – y²)dx + (y + x² + y?)dy = 0

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Q: visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an islan...

A: A visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an isl...

Q: Evaluate the following limit using L'Hopital's Rule if indeterminate. e* – 1 lim x-0 sin(x)

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Q: A 12-meter rope is broken in half so that x meters make a circle and the remainder forms an equilate...

A: Topic = Algebra

Q: For each of the integrals below, decide (without calculation) whether the integrals are positive, ne...

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Q: Find the volume of the solid obtained by rotating the 13 region under the graph of the function f(x)...

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Q: 3x * x3 - 8(y + 1) = 0 y+1 (2v2 + 4u?v)du + (4uv + 3u³)dv = 0

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Q: -0.3t If C(t) = 18.5t e measures the 24 ng of a drug in a person's ml concentration, in 22 20- syste...

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Q: Given z= Find z, zy.

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Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters ...

A: For the solution follow the next step.

Q: 4. 3x2 dx + dy x3 - 8(y + 1) = 0 %3D y+1

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Q: How many years will be required for a given sum of money to be 4 times the principal amount, if it i...

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Q: (In 3)² Evaluate 3 + In 3 + (In 3)" + ... + .... 2! n!

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Q: Consider the infinite series> Vn +4 which we compare to the improper integral dx. Vx +4 Part 1: Eval...

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Q: Given R(t) = 4 cos ti + (1+ 3cost)j + 5sintk. Find || K(t) || at t=. O 2/5 O 1/5 O 2 O none of the a...

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Q: Use the formula for the binomial series: (1 + x)" m(m–1) 2 -x² + 2! m(m–1)..(m-k+1) + 1+ mx + ... .....

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Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

A: We have to find radius of convergence.

Q: Write the first five terms of the sequence: {Vn² + 2n – n}=1 +00 Determine whether the sequence conv...

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Q: dy d) dx cos(x + y),when x = 0, y = | 4

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Q: B. find y' and y" 5x+2 1. y = %3D 3x-7 2. y = (x2 +x + 1)2 C. 1. If f(x) = Vx find,f '(4) and f "(4)

A: Topic = Derivative As per guidelines , At a time only three sub-parts can be answered. please repost...

Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

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Q: -lo I3+ 5 %3D dt

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Q: find the difference quotient for: f(t)= -16t2+ 9t + 10

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Q: 7. cos(x + y), when x = 0, y - dx

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Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: dy 7. dx cos(x + y), when x = 0,y = 4

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Q: Solve the differential equation of the following 1. (ke2v-u) du – 2e2v (e2v+ku) dv = 0  2. (x-3y+2...

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Convert the Cartésian coordinate to polar coordinates, 2T, r > U. No decimal entries and answer may ...

A: Follow the procedure given below.

Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 O 1/2 O None of the choices

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Q: sec?(0) tan (0) de

A: Follow the procedure given below.

Q: The derivative of the function y = xe(5+sec(2x)) is: y' [1+ 2x sec(2x) tan(2x)Je(*ece(2x) y' [1+x se...

A: We will find the derivative of the given function. 

Q: Solve the ff first order DE using integration method, by inspection, or bernoulli's equation

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Q: Determine C if u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du 3 0 - 3 27 -1

A: Let's find. 

Q: Given: f(x) = 3x2 - 5x + 1, find f(2+h) - f(2) / h

A: The objective is to find f(2+h) - f(2) / h.

Q: State where the power series is centered. Ï (-1)^(x – 57)6n (-1)"(х - 5л)бл n = 0 (6n)!

A: Center is 5π . 

Q: Cavalieri's Principle states that if a family of parallel planes gives equal cross-sectional areas f...

A: We will use the  Cavalieri's principa to find the volume of the required surface.

Q: Is the sequence divergent or convergent? Explain and give the solution of the answer.

A: This is a problem related to sequences. Based on the general formula we will identify the nature of ...