Reduce the rational expression to lowest terms. 2p² + 12p+16 2 4p²-4p-80 2p² +12p+16 4p²-4p-80

Q: opulation P has doubled in 7 years, how long will it take to triple? (Round your answer to one…

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Q: 3

A: Solve the following

Q: What is the largest rectangular area that can be enclosed by 100 ft of fencing. (Non-anonymous…

A: Given problem:- What is the largest rectangular area that can be enclosed by 100 ft of fencing.

Q: x+2 lim x-2x²+4x+4

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Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: i can't understand the text. can you please write it on the paper? thank you

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Q: Determine whether the series converges. The series 8 k=1 13 15k

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Q: A company can produce a maximum of 25 widgets in a day. If they sell x widgets during the day then…

A: Above question is solved.

Q: 2. Which of the following is correct in solving [2.xv 2x√√/2+x dx? (a) Substitution technique can be…

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Q: Let u = cos(4x) and du = e2x dx, then by using IBP, the integral 1 (a) — e²¹ ²² c cos(4x) +2 SC.²2.…

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Q: ³√x²e²²\ Which of the following is the most appropriate technique to use in evaluating O Integration…

A: The given integral is x2e-x.

Q: 1. The half-life, T, for a particular radioactive element is 3 min. Find the decay rate of the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: State

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Q: Determine the moment of inertia of the area about the y-axis of the curve y2 = 2x, x=2, and the…

A: We can calculate by integrating.

Q: 5) (6: -1). Find f'(x) if f(x) = (4x² + 5) ( 6x - f'(x) =

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Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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Q: 1. f(u) = u³, g(x) = u = 2x¹ + 1 Find (f g)'(-1).

A: Here, the given functions are: f(u)=u3 & g(x)=u=2x4+1 Now, f∘g(x)=f(g(x))⇒f∘g'(x)=f'(g(x))g'(x)…

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

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Q: kx 4+x² If k 1, evaluate k (a) 2 kx (b) 2 J₁ arctan (2x) + C arctan (2x) + C dx. (c) // ln(x² + 4) +…

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Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

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Q: Solve the given differential equation by separation of variables. dy xy + 5x - y - 5 dx xy - 2x + 6y…

A: We can solve the given differential equation by using the variable separable method.

Q: kx 4+x² If k > 1, evaluate O ka -In|x² + 4 +C 2 Okx -arctan (2x) + C 2 Ok In(x² + 4) + C O arctan…

A: Given: I=∫kx4+x2dx   ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: Suppose 10 workers produce 500 units of commodity X and 20 workers produce 800 units of commodity X,…

A: The formulae of marginal product is        MP=change in firm's use of inputchnage in quantity of…

Q: A ball with mass m kg is thrown upward with initial velocity 20 m/s from the roof of a building 10 m…

A: topic- quadratic equations

Q: Consider the function f(x) = (3x² − 4)(x² + 6). (a) Compute the derivative of f(x) by multiplying…

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Q: Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

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Q: Verify that the indicated function y = (x) is an explicit solution of the given first-order…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: S(4x - 3) d

A: Follow the procedure given below.

Q: 36. Which one of the following is true for all z ER? (a) z sin(2) dx = (1-2) cos(x) + C (c) (b)…

A: Now that we know that the integral of x sin x is equal to −x cos x + sin x + C, we will derive this…

Q: Question 4 A student club is selling t-shirts for Thon every weekend. They found that when selling…

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Q: 1.) Sales of a particular product have been declining continuously at a rate of 8% each year. a.…

A: We need to find D.E. As per Bartleby's guidelines we can solve 1 question from multiple qn. Please…

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

A: The given integral is: I=∫x2+2x+1x2+12dx   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And…

Q: Use the root test to determine whether the series converges or diverges. If the test is…

A: In this question, we need to determine whether the given series converges or diverges.

Q: Solve the given initial-value problem. y x = 6y², x(8) = 1 dy x(y) = Give the largest interval I…

A: To solve the initial value problem.

Q: 5. lim X→ 3 3x-1 9x²-1

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Q: A trough 21m long has ends shaped like isosceles triangles, with base 5m and height 14m. Water is…

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Q: Use the formula: PMT= (PV) 1-(1+i)*

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Q: Let f a continuous function in [0,1], an integral equivalent to π/2 f (cos(x)) sen (x) dx 0 after…

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Q: Which of the following gives the volume of the solid obtained by rotating the region bounded by y =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: a. The plane through P(0,2,-1) normal to n=3i-2j-k

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Q: hand-tossed pizza base starts off as a ball of dough with a volume of 400π cm3 . First, the cook…

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Q: a = [0,-1,7] and b = [2,4,-3].

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Q: J = [sen² (4) cos² (4)dy. When applying variable change u= cos , J is equivalent to: O a) fu² (1-²)…

A: Given,       u=cosφ     du=-sinφdφ -du=sinφdφ

Q: Examine the following surface for maximum, minimum, and saddle points 2 = x² + y² + xy + 4x - 4y +3…

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Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

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Q: Problems: Solve the following differential equations: 9- (e + In y)dx + (+)dy=0 y

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Answer the given problems in two ways: (1) by using Chain Rule (2) by finding f(g(x)), taking the…

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Q: Make a conjecture about the derivative by calculating the first few derivatives and observing the…

A: Given :d61dx61sinx