10a. The function h defined by h(t) = (4.9t +49)(-t+ 10) models the height in meters, of an object in t seconds after it is dropped from a helicopter. Find or approximate the time when the object hits the ground. Explain or show your reasoning. * %3D Your answer 10b. The function h defined by h(t) = (49 + 4.9t)(10 - t) models the height in meters, of an object in t seconds after it is dropped from a helicopter. From what height is the object dropped? Explain or show your reasoning. * %3D

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Y= -1/2(x+6)^2 + 8 I would like to know how to find the 1: vertex 2: range 3: horizontal intercept.

A:

Q: Graph f(x) = 5x^3 +17x^2 – 14x – 8  Identify the variables, domain and range. Determine the data…

A:

Q: T represent the number of years in 2000. I’m 2005 t= 5 there were 9.3 billion monthly text messages.…

A: Given function :

Q: A rock is thrown off a bridge into the water. The path of the rock can be modeled by the function…

A:

Q: Determine if the function (x) = 11x² - 2x² is even, odd or neither?

A: A function y=h(x) is said to be an even function ifh(-x)=h(x)   A function y=h(x) is said to be an…

Q: The annual sales of Amazon since 2015 can be modeled by the function s(t)=(2t+7)2+43 where t is…

A: Given that annual sales of Amazon since 2015 can be modelled by the function s(t)=(2t+7)2+43 , where…

Q: Scotty McTiger hits a golf ball with an initial speed of 280 feet per second. The heights of the…

A: Given query is to find the time when ball hit the ground.

Q: The United States wine consumption can be modeled by the function f(x)=0.004x^2-0.094x+2.607 where x…

A: The function is fx=0.004x2-0.094x+2.607.   Substitute 25 for x in the above function.…

Q: 2- (4x+3y)= -4 (y+1) Is this a function? Explain.

A: Yes, given expression is a function.    Given,    2- (4x+3y)= -4 (y+1) 2 - 4x - 3y = -4y -4 Adding…

Q: 2. The height, h, in feet, of an object thrown upward from a height of 144 feet is a function of…

A: Since , it is given that h(t) represent height of the function at time t  h(t)=-16t2+128t+144

Q: A punter kicks a football. Its height in meters is given by the function, h(t) = - 4.9t ^ 2 + 18.42t…

A: Given h(t)Football   = - 4.9t ^ 2 + 18.42t + 0.8   h(t)Blocker Hand    = - 2.21t + 7.45

Q: for the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A:

Q: R(x) = 7/x^2-16   Write in lowest terms, if necessary.  Locate when the graph will cross/touch…

A: To write into the lowest

Q: The rocket splashes down after    seconds. How high above sea-level does the rocket get at its…

A: We need to find the time after which rocket splashes ground and peak using the given function.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.