Find the position function given this information: v(t) = -3t^2 +48t -144; x(0) = 7

Q: Find the derivative of the function. f(x) = (1 + x*)²/3

A: f(x) = 1 + x423 f'x = ?

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Q: Find the gradient of [F(x,y) = xy+2y] * O y i + (x+2) k O yj+ (x+2) k O yi+ (x+2) j

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Q: Given the equation F=F0((x/x0)-1) F=find W if particle moves from x=0, x=3x0 if F0=10N x0=2m, plot…

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Q: graphs of rational functions will have a horizontal asymptote. All Some No >

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A: For f(x) to be continuous the left hand limit must be equal to right hand limit.

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Q: Two vectors live with their tail at the same point. When the angle between them is increased by 20…

A: The scalar product between two vectors can be expressed as

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Q: Given the function D= 3x²y - y³z², evaluate the gradient at the point (1, -2, -1). a. -12î-18) - 8k…

A: Given: The function is given as. ϕ=3x2y-y3z2…

Q: Given the function D= 3x²y - y³z², find the gradient VQ. b. a. 6xyî+ (3x² - 3y²z²)ĵ- 2y³zk…

A: Given, Φ = 3x2y - y3z2

Q: x + 5 x 5 Calculate the following values: a. q( – 3) : b. q(7) = q(5) = С.

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Q: Calculate the angle between vectors A=î+3ĵ+2k and B=î+27+3R

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Q: Find the angle between the two vectors Ả = 2 î + 3ĵ + k B = -4 î + 2ĵ – k and

A: Given  A=2i+3j+k B=-4i+2j-k

Q: Find the cross product A x C for (a) A = 2.01 - 4.0j +k and C = 3.0i + 4.0j + 10.0k, (b) A = 3.01 =…

A: 1 )A→ = 2i^ - 4j^ + k^C→ = 3i^ + 4j^ + 10k^

Q: determine the resultant of the following 8.0 N at 40°, 9.0 N at 120°, and 12.0 N at 200° all angles…

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Q: Find the directional derivative of the function f (x; y; z) = xy + yz + zx at M (2; 1; 3) in the…

A: Please see the answer in Step 2

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Q: Let S = (1m)i + (2m)j + (2m)k and T = (3m)i + (4m)k. The angle between these two vectors is given by

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Q: position (m) 7 6. 5 4 3 2.

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Q: Given these vectors: A = (0.9)î + (-9.8)ĵ+ (7.8)k B = (8.7)î + (0.2)ĵ+(-8.9)k | Find the value of…

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Q: Let S =(−1m)i+(2m)j−(3m)k and T =(4m)i−(6m)k. The angle between these two vectors is given by

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Q: Find the angle between these given vectors: u3D{7.19] v- (12,-5]

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Q: graphs of rational functions will have a horizontal asymptote. All Some No

A: A given rational function may or may not have a vertical asymptote (depending upon whether the…

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Q: Preve that -ut Cos lwit + ø) + Xeq %3D max bolve the 2nd order differential equatan . + b dx + Ex =…

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Q: Given the position function of a particle, x(t) = t* – 8t2. Find the distance covered by the…

A: Given  position function  x(t)=t4-8t2 required distance covered by particle at t=0 to t=4

Q: Consider two vectors, A = 14.3 m at 36.0°, and B = (-8.90î + 2.50j) m. %3D

A: Given data

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Q: er a fig the vec he mor the ch actor

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Q: derivative of the given function keeping E fixed in terms of E and T

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Q: at what angle does the force F=6.23i-2.38j+4.92k makes the x-axis?

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Q: Given that both f(x) and g(B) are odd functions and f(x) x g(x) = v(x). Check whether v(x) is an…

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Q: . Using the differential length dl, find the length of each of the following segments/curves: a) 2 <…

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Q: specify the convergence interval!

A: Hi there!! This is a Maths question which is asked in Physics. I will be answering this question for…

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.