ne unknown initial temperature, 3. If the temperature of the air is 300K and the substance cools from 360K to 330K in minutes, find when the temperature of the substance will be 310K. Who

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A: Let's find. 

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A: Answer: The solution is given below:

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A: answer of given question is in step2 

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A:

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A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121 ...

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A: The population is given by P(t) = 0.0008t³ - 0.0714t² + 0.81t + 6.04

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

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A: Topic = Vectors

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A: This is too lengthy kindly repost the remaining parts.

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A: We have to determine the limit of the sequence.

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A: The objective of the question is determine the value of a and b for which limits exist.

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A:

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A:

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A: This is a problem related to vector. Based on the general formula vector we will solve the question.

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A: Given query is to find the limit of the expression.

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A:

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A: To find out the time it takes for the drug level in the bloodstream increasing. 

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A: Given query is to find derivative of the expression.

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A: Given:       ∫e2xsin2(e2x)cos(e2x)dx      let u=e2x→du=2e2xdx           =∫sin2ucosu2du            =1...

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

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A: Given query is to find value of p at x = 0.

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A:

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A: Given:      Height of kite =40 ft      Rate of moving kite =3 ft/sec      Length of the string relea...

Q: How many positive integer solutions (zero is not allowed) to r+y =42?

A:

Q: 10. In the diagram below, the conical part's radius and height are seven centimeters and ten centime...

A: Given: Radius of the  cone =7 cm Height of  the cone =10 cm Diameter of the cylinder=  14 cm  Height...

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A:

Q: Given f(x) = 4x² – 9 and g(x) = 2x³ + 3x², and that h(x) g(x) determine h(f(x)). S(x)' %3D

A:

Q: If m and n are odd integers, then so is m · n.

A: We will use the definition of an odd integer to prove this statement.

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A:

Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two...

A:

Q: If g(x) = Cos x – Sin x 7n a) Find g() and g () b) Show that g (5+ x) = g(n – x) 8

A:

Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

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A:

Q: Evaluate the following: 1. S sin³ 4xcos³4xdx

A: 1.Solution : ∫sin34xcos34xdx123∫23sin34xcos34xdx123∫sin38xdx    2sinxcosx=sin2x123∫3sin8x-sin24x4dx ...

Q: Question Find the sequence of partial sums S1, S2, S3, S4, and S5 of the series below. 10 3" – 18 Ro...

A:

Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

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A: Explained below 

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A:

Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

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A: The given expression,    35.4

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A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

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A:

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A:

Q: Exercise: Do as indicated if x 4. x. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞,0)? 3 ...

A:

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A:

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Q: Show that the following limit fails to exist by showing that the limit is different for two differen...

A:

Q: Determine if the series is absolutely convergent, conditionally convergent, or diver 4n+1 (c) 2 32mn...

A: The given series of summation of 4n+1/[32nn2], n from 1 to infinity. 

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A: