A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity of 48ft/s. Calculate the velocity of the rock when it is exactly 32ft above the person’s hand. Separate multiple answers with a comma. (Hint: Use h(t)=−16t^2+48t+180 as the position function, where hh is in feet, t in seconds. Ignore air resistance.)

Q: Find the general solution for each of the following differential equations using VARIABLE SEPARABLE

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: B

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Q: Question 1: Classify the following differential equations: 2 1) dx. = 5ycos(x) + 3x

A: As per the guidelines we can solve the 1st question only as below

Q: Find the derivative. 4- 3 y 3 5x 4x+3x2 20x2-15x2 -7 5x O4x3+ 3x2-7 ,家 4x²+3x2 20x-15x4

A: Option D is correct. 

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A: limit value = ?

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Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

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Q: How do I solve and what's the answer for the question in the image attached? Thanks.

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Q: please help with part A

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Q: dz (sin x) Select one: O a. cos x. O b. sin x. Oc. - cos x. d. – sin x.

A: We have to find the derivative

Q: How do I solve and what's the answer for the question in the image attached? Thanks.

A:

Q: Please help with part D

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A: The triangle is given by

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Q: Solve the integral.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.