10. yA 30- 25- y=x - 4x 20- 154 10- 5- -10 -5 -5 10 X -10 y = 16 - x -15 -20 - Find the area bounded by the two curves.

Q: The relationship between labor (L) and output (Q) is given via the following equation: Q= 6L^2 -…

A: Using double derivative test to vet maximum range for maximum output

Q: 14. Give an example of a point that belongs the area determined by 2x + 7y > 1,x 0.

A: Given

Q: 11) A y=4-x2 What's the maximum area of rectangle of OABC?

A:

Q: Find the area delimited by the functions f (x) = 9x ^ 3-13x-3; y g (x) = 8x ^ 3 + 3x-3

A: The graph is:

Q: Q1) Estimate the area under the graph of f(x) = x² + 1 from x=1 to x=3 using four approximating…

A:

Q: 3. (a) Estimate the area under the graph of f(x) 1/x from x=I to x 2 using four approximating…

A: We will divide whole interval into 4 sub part and draw rectangle in each subpart depending on method…

Q: graph bole 17) Find the area between the functions f(x)=x²-2 and g(x) = x.

A:

Q: 28. Se cost sin 2t dt

A: ∫0πecostsin2tdtSolution :∫0πecostsin2tdt2∫0πecostsintcostdtlet, cost=x-sintdx=dxsintdx=-dxat…

Q: 8. Given, h(x) =2 – x and g(x) = -x² + 4 a) Plot the two functions on the same graph for -2 < x <4…

A:

Q: 1. If we visualize the region having "top" and "bottom" boundaries, express each as functions of and…

A: Given: According to the graph rules, each tick represents as 1 units. To find: 1) Functions on top…

Q: 18) Find the area A3 on the graph below. Ai -3 A₂ f(x)=x²-x-2 A3 D X

A:

Q: Find the area under the graph on the following intervals: (a) On the interval [0, 4], the area…

A: The given curve is  We can find the each line equatons and then use by definite integral, we can…

Q: Find the area of the region enclosed by the given graphs. a)f(x) =x^2+x-9 and g(x) = 3x-1 b)-x^2+…

A: Let us take two curves f(x) &amp; g(x), then area of region enclosed between these curves is given…

Q: Find the area of the region bounded by the curves x4-9x² and xx³ - 9x between -3 ≤ x ≤ 3. Show all…

A: Sketch the graph in[-3,3]

Q: Determine the area approximation of -x^2 -6x -10 from x=-5 to x=-1 with 200 rectangles by the…

A: We have to determine the area approximated of  from  to  with  rectangles by the midpoint method.

Q: Determine the area, in square units, bounded above by f(x)=−x^2−10x−16 and g(x)=2x+16 and bounded…

A: Given that fx=-x2-10x-16gx=2x + 16 The objective is to find the area of the region which is bounded…

Q: Differential Equations. 100 150 Very large tank initially contains of Salt Water Containing gallons…

A: As per the guidelines I did first question.

Q: How do I find the area between two points on a standard curve?

A: Consider the two points on a standard curve z1 and z2.

Q: Write as a sum of three terms  x^3+xy+y^3 x^2 (That's supposed to represent a fraction)

A:

Q: Find area of region x = 45 − 5y2,  x = 5y2 − 45

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.