Question f(x) =V 8x-x² g(x) =V –112+22x-a² h(x)=2-|x-16| f(x) 4 g(x) 3 h(x) +→ x 18 3 12 15 Use the formulas for areas of triangles and circles to evaluate the integrals of the functions graphed in the figure. Enter the sum of all shaded areas in terms of . -6, > ++ +++

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: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

A:

Q: The temperature in degrees fahrenheit of a person during an illness is given by the function T(t)=…

A: Given,  T(t)= -0.01t2- 0.2t +102.5 Now differentiating the  T(t) with respect to t to find the…

Q: f an object’s position, in yards, after t minutes, is given by s(t)= 850-80t-2t^2+3t^3, find the…

A: The expression for the acceleration is:

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: Rearrange the f(x) =  2x^4-x^3-9x^2+4x+1 so that x is on the left-hand side of the equation.

A: The function: f(x) can be rearranged using basic algebraic operations.

Q: A ball is thrown upward of a 100 meter cliff with an intial velocity of 6 m/s. The function f(x) =…

A: Given: - A ball is thrown upward of a 100 meter cliff with an initial velocity of 6 m/s. The…

Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

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Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

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Q: Find the slope of the line at the point x = 2 for the function f(x) = x ^ 2 * (3x - 2) 12 16 40…

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Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: write a formula for a function h(x), whose graph is identical to the graph of y=x^3 except that the…

A: the given function has to be written as ratio of two polynomials  h(x)=f(x)g(x) the graph has hole…

Q: R(x) = 7/x^2-16 If needed, write this given function as a single rational expression. Aftrr, factor…

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Q: Use the table below to fill in the missing values. f(3)=  if f(x)=1, then x= f^−1(2)= if…

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Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…

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.