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Q: Write out the form of the partial fraction decomposition of the function -V2 a3 – a² + a x³ (x – 1)4...

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Q: Show that the equation x" = 10 has at least one solution on the interval [1, 5

A: Find your answer below 

Q: Evaluate the integral. (Use C for the constant of integration.) x-5 dx

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Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second poli...

A: This is a problem related to distance and velocity. By using the below formula we will solve given q...

Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x thou...

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Q: www ......... ....... Write and evaluate the definite integral that represents the volume of the sol...

A: Given; So, y=25-x2y2=25-x22y2=25-x2x2=25-y2x=±25-y2   Use the disc method to calculate the area of ...

Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

A: Slope = dy/dx

Q: Find the critical numbers of the function f(x) = 2x3 - 15x2 + 36x - 24. O a. -2 and 3 O b. 2 and 3 O...

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Q: 1. Use the characteristics of the given function to graph the function and it's reciprocal on the sa...

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Q: dC The rate of change in the concentration of a drug with respect to time in a user's blood is given...

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Q: Given the function s(x) and the following information: 1. s(-7) = 5 2. s'(x) > 3 on [-7, 2] Which of...

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Q: If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, c2...

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Q: An acute angle of a right triangle is 32 degrees. If the side opposite to it measures 50 feet, how l...

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Q: Hew.3 Find dw and Dw when P=ty 9=4if- the de it W =Xy +y2+Zu +uV and x= Pa, y=4 tan P V = P+4+1

A: Given,           w=xy+yz+zu+uv and x=pq , y=qtan-1p , z=lnq-3p , u=q+5p ,           v=p+q+1To find :...

Q: increasing decreasing

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Q: Let the region R be the area enclosed the function f (x) = 3x3, the horizontal line y = 6, and the y...

A: Given:-the region bounded byf(x)=3x13y=6 and the y-axisrevolving about the line y=6using washer/disk...

Q: Correct. Determine whether the series converges. 1 Vk +9 O The series converges. The series diverges...

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Q: The frequency F of a fire truck siren heard by a stationary observer is given below, where i v repre...

A: For the solution follow the next steps.

Q: Find the derivative. 5+ sec q 5- sec q

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Q: Determine the interval of convergence of n2 +1

A: Given problem:-

Q: J. 3x²dx Evaluate the indefinite integral. J; , and 9x6–12x3+4 • Identify what is the u=? and du=? S...

A: We have to find the indefinite integral.

Q: EXAMPLE 8, Does the sequence whose nth term is n п + An n 1 - converge? If so, find lim,»oan.

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Q: V12 2+3+ cos The value of sin cot cos V 4 + sin 4 12 is

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Q: Use the factor theorem to determine if the given binomial is a factor of f(x). sk) = 3x + 2x - 24x-1...

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Q: +oo 1

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Q: Suppose that the equation of motion for a particle (where s is in meters and t in seconds) is 8 = si...

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Q: Find the equation of the tangent line to the curve y = 4 sec(x) – 8 cos(x) at the point (T/3, 4). Wr...

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Q: Find the absolute maximum value of f(x) =x° In and say where it is assumed. atx-0 The absolute maxim...

A: To find out the absolute maximum of the function. 

Q: Use the properties of logarithms to expand the following expression. 6(4+x)* log Your answer should ...

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Q: (sin x+ cos x). Find xp

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Q: A company plans to manufacture a rectangular container with a square base, an open top, and a volume...

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Q: Let the region R be the area enclosed by the function f(x) = 2 ln (x) and g(æ): revolved about the l...

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Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than ...

Q: t. 1. lim 0 sin t 2. lim 10 et-1 sin(2t) 3. lim t-+0 2t

A: Use simple limit formula or L hospital rule.

Q: Find the area of the region bounded by the spiral r= 50 for 050ST. r= 50 2 '2 (5π,π)

A: Find your answer below 

Q: Let y=(x+sin(x))^5 Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the Chai...

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Q: 4.Prove that the circumference of a circle with radius =2a is 4na by using the formula for the lengt...

A: Circference of circle is 2πr

Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is ...

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Q: (4-5 vx)* Evaluate the indefinite integral. J

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Q: (s – s2 – t2)ds + (t + s2 +t2)dt = 0

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Q: f(x) = tan(x) – 4 Find sec(x)

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Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it hi...

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Q: what is the square root of  188 what is 100 times 1 regroup 158+888

A: Given; 1) square root of 188. 2)100 Times 1. 3) regroup 158+888.

Q: solve the equation. (round your answers to four decimal places.) e^2x-8e^x +7=0 x=       (smaller ...

A: topic  - expomemtial equation

Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the l...

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Q: 1 dy 3 yz-+ y7 = 1, when x = 0, y = 3 dx

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Q: S sin(Vx)dx ii.

A: Given I=∫sinx3dx To evaluate the integral I:

Q: A news item is heard on the late news by 8 of the 144 people in a small community. By the end of the...

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Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros fo...

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Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

A: Given:   Perimeter of rectangle = 200