Neglecting air resistance, the motion of an object moving vertically near 2 Earth’s surface is determined by the acceleration due to gravity, which is 9.8 ?/? . Suppose a stone is vertically upward at ? = 0 with a velocity of 40 ?/? from the edge of a cliff that is 100m above a river. a) Find the velocity ?(?) of the object, for ? ≥ 0. b) Find the position ?(?) of the object, for ? ≥ 0. c) At what time the stone reaches the maximum height, and what is the maximum height?

Q: tan (? + ?/4) = −√3.

A: tan(? + ?/4) = –√3 To find the value of ? in the equation : tan(? + ?/4) = –√3 we can use the…

Q: 10. Given: CH bisects ZDHG , mGF = (2x + 6) , and mDC = (7x – 1)'. E H C G F

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Q: Find tan a. V[?] r (V5, -v7)

A: GIVEN: A figure is given

Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

A:

Q: Væ2 - 64 dx. Evaluate

A: To evaluate: I=∫x2-64x3dx Substitute u=x2-64⇒du=12x2-64(2x) dx⇒dx=ux du

Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: DB is an altitude of ∆ADC, and M ∠DBC = ( n² + 81)°. Find the value of n.

A: Please refer the attached image for complete solution.

Q: 8x²e2° dx .3 (3) Evaluate

A: To evaluate:

Q: Number 24

A: To evaluate

Q: sinhx+ coshx dr60

A:

Q: A projectile is given an initial velocity of 31.5 m/s at an angle of 51.5 degrees with respect to…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 00 dx x² 7/3 (Type an exact answer +49 %3D

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Q: Find cos . r (10,-√21) ? ㅁ Enter

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Q: 4т f tan tan 9.

A: tan-1tan(x)= x hence tan-1tan-4π9= -4π9