In each of Problems 1 through 3: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the direction field, describe how solutions behave for large t. (c) Find the general solution of the given differential equation, and use it to determine how solutions behave as t→ ∞. 1₁ y² + 3y=t+e=²t

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A: Givena bag contains 10 marblesTotal no.of marbles =10No.of red marbles=4no.of green marbles=1No.of…

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A: To find the first step of solving the given equation.

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A:

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Q: Solve for d. 24 x106 () 9375 d2 6. %3D 25d3 - 703125d t 3515 6250

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A: Given query is to find the value of x.

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A:

Q: how do you solve part b using the root test?

A: b) Given series is

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A:

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A: Let the smaller number be ' x ' and the larger number be ' y '

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A: The exponent is a positive or negative number that expresses the power to which the quantity is to…

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A: we have given an mathematical expression as follows -2 = - 4 s/3 we need to solve it for s

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A: Given that we need to solve the equation  x2 - 5x = 24 Now, x2 - 5x = 24  implies that  x2 - 5x - 24…

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A:

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A: To find given statements are true or false

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A: The objective of the question is determine the other parts of the given triangle.

Q: How do you solve?

A: The quotient rule of differentiation is as shown on the white board.

Q: 1.2 In each case below, describe the error(s) that learners made when solving the problems. Then…

A: We have,a.b.

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A: In this question we have to find length of CE

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A:

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Q: 64- 4x-4 N 27 36, 72 P 96 O a 10 (horseback riding) 3 (grading papers) 7 (making a Tik Tok) 9…

A: This question is simply based on properties of triangle

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A: GIVENSTRAIGHT ANGLE

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A:

Q: Solve: |-8x + 8| – 1= 47 o {-5, 7} O {-5} o {-7, }

A: Here we have, -8x+8-1=47

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Q: 2. Solve (1.1 x 10-16)æ – (1.2 × 101º) = (6.5 × 101º) Write the solution in scientific notation.

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Q: 72. cot(-3t) - 3cot(3t + T)

A:

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A: To simplify the given expression.

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A:

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A: Consider,Given data,woman burns 500t cal/hr, to find the calories burned (C) after walking for 4…