A car is given a push down a roller coaster. If it travels a distance of s feet in t seconds, where s(t) = 3t+ 5t², find its velocity after 6 seconds. 1. velocity = 63 ft/sec 2. velocity = 61 ft/sec 3. velocity = 4. velocity = 5. velocity = 62 ft/sec 64 ft/sec 60 ft/sec

Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: Suppose Var(X) = 96, and a = .45. What is Var(aX)?

A: The objective of this question is to find the variance of the random variable aX, given the variance…

Q: Calculate |(1 – i)12|. e^6log2

A:

Q: If i=(-1) then i^25= ...

A:

Q: (e) $(-1296)^{1 / 4}$(f) $-1296^{1 / 4}$(g) $(-27)^{1 / 3}$(h) $-32^{1 / 5}$

A: (-1296)1/4Apply radical rule:  -a4 = -14a4-129614=-1412964=6-14   -12961/4=-6

Q: The graph shown most accurately represents which of the following functions? 6. 7 9. 5 7 8 9

A:

Q: Suppose Var(X) = 83, and a = .57. What is Var(aX)?

A: The objective of this question is to find the variance of a random variable that has been scaled by…

Q: Suppose that, for a certain real number b > 0, log,(3) = 2.53 and log,(5) = 4.21 Find log,(45) 1…

A: Given:  logb3=2.53   and logb5=4.211) logb45=logb9×5we know that log(ab)=loga +logbThen…

Q: If f(x) = x*e*, then f"(x) = A 12x²e* B e(x* + 4x?) © e*(xª + 4x3 + 12x²) ex(x4 + 8x3 + 12x²)

A: Given; f(x) = x4ex

Q: Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

A: Given, To Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

Q: ((-14)/((x^2)-x-12))-((1)/(x-4))=((2)/(x+3))

A: Given:The equation is,

Q: tim ax3+5 ( 1+てX (ソx) Xーローや

A:

Q: For each function f, give O(f) using any of the properties in the last 4 slides. In each case,…

A: We know, f(x) = O(g(x)) if f(x) < cg(x) for some positive integer c, and x > x0 for some x0.…

Q: Evaluate log(1-j) (4 +j5) O a. 3.1915 - j2.4061 O b.0.817 + j2.4002 O c. 3.1915 + j2.4061 O d.-0.817…

A: Using the properties of logarithmic function, it can be written that logab=ln aln b and log (ab)=log…

Q: fill in the boxes with the missing exponets  (5^()x^()y^(-2))/(xy^())=(x^(2)y)/(25)

A:

Q: Find E(0.6^X). E(

A: Given that,The probability mass function of X is,To find the expected value of .

Q: What is the sum of the exterior angles of any polygon?

A: See attached file for a step by step explanation.

Q: -5x²-2x+8 f(x) = -x ³. y Domain: (-0909) x-int:y-int: (48) Range:(-60,00) Turning Point(s):…

A: We need to solve for given function.

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: find x if In(x) = 2.85

A:

Q: Please help ()())()()(((

A: Given: demand function: P=−50Q+2000 supply function:P=10Q+500 1) To find the equilibrium quantity,…