i. Produce a graph showing the area under the curve and decide the area bounded by the curve y = 5x2, the x-axis and the coordinates x = 0 and x=L where L is the summation of the first and last digit of your matric number (eg matric no 56790, x= 5+0=5, thus L= 5) ii. If this area is revolved 360° about (i) the x-axis, and (ii) the y-axis, predict the volume of the solids of revolution produced in each case.

Q: 1 2 3 4 6. stimate the area between the given curve and x-axis on the interval [0, 8] by…

A:

Q: 4. Find the area of a regular nonagon (9-gon) with apothem = 12 inches. Round your final answer to 2…

A:

Q: Show that the area between the curve y = 1/x and the x-axisfrom x = 10 to x = 20 is the same as the…

A:

Q: Find the area bounded by the curve y and its asymptote/s. (1+x2)

A:

Q: Find the area "under" v7(t) on the interval [6,9]. What does your answer tell us about Mr. Goza?

A:

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x…

A:

Q: By using definition 5.4.3 with as the left endpoint of each subinterval to find the area under the…

A:

Q: Find the area between the curve of X = 5 4 3 2 1 1 2 3 O 2.749 O 3.296 4.159 4.957 4 5 33 and the…

A:

Q: Consider figure 1 from the previous question, find the area bounded by the curves on the interval O…

A:

Q: Find the area between the curve y=2 and the chord joining the points (0,1) and (2,4). O 0.5608 O…

A:

Q: e area between the two loops of the limacon r = 1+2 sin 0.

A: We are asked to find the area between the loops.

Q: Find the area between the curve and the x-axis for the function y = x2 +3x between x= -1 and x = 2…

A: To

Q: (a) Estimate the area under the graph of f(x) = 25 – x from x = 0 to x = 5 using five approximating…

A: Consider the equation as shown below: Here, the function fx =25-x2 And the object is to find the…

Q: Refer to the graph in Fig. 11. Draw the rectangles that approximate the area under the curve from 0…

A: According to mid point rule: The lower and upper limits are 0 and 8 respectively. Hence the each…

Q: Estimate the area under f(x)=x^3 from x=1 to x=5 using n=4 rectangles and choosing heights via: (a)…

A:

Q: Approximate the area under the curve of y = x² - 2x + 3 over the interval x = -1 to x = 3 using 4…

A:

Q: In(7x) – 1 Find the area of the region lying between the a-axis and the curve y = to the right of…

A: We have to find the expression of the area of required problem.

Q: In circle P with m/NPQ= 42 and NP = 19 units find area of sector NPQ. Round to the nearest…

A:

Q: Show that the area of the region in the first quadrant en-closed by the curve y = (1/a) cosh ax, the…

A: First of all, consider the graph for curve y, the coordinate axes and the vertical line x = b.The…

Q: Find the area under the graph y 2x + 3 on the interval -1, 2). 2]. AY 8- 71 6. 4 ++H+ 54 3. 1 234 5…

A:

Q: 7. Find the area bounded by the curve y = x? +x + 4, the x-axis and the ordinates x = 1 and x = 3.

A: Given; y=x^2+x+4

Q: 3. Show that the volume of a truncated prism whose right section is a paral- lelogram is the product…

A: As per the question we have to prove that the volume of a truncated prism is : (Area of its right…

Q: 2. Find the area a. between 0a b. between -0 to right of - d. to the left o C.

A: a.

Q: What is the area of the region I from the following sketch of graphs? 11

A: Given problem:-

Q: Find the area under each curve over the indicated interval. [4.3] 16. y = 6 - x²; [-2, 1] 17. y = x2…

A: 16. Therefore, area  A=∫-21ydx=∫-216-x2dx=6x-x33-21=6-13--12--83=173--12+83=173+283=453=15…

Q: Find the area under the curve of the function on the stated interval. Do so by dividing the interval…

A:

Q: In circle P with MZNPQ= 104 and NP = 9 units find area of sector NPQ. Round to the nearest…

A:

Q: Draw the rectangles that approximate the area under the curve from 0 to 6 when using the midpoint…

A: Graph of the function is given, we have to draw a rectangles for midpoint rule with n=3

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54…

A: The area formed is of trapezium

Q: Se tup the sigma expression for the area 2 under the graph of flx) = 1 +2x* from X = 1 to X = 2…

A: According to question we have to set up the sigma expression for the area under the graph for the…

Q: ind the area under the given curve over the indicated interval. (TYPE IN A VHOLE NUMBER, FRACTION,…

A: Integrate area over given region

Q: Find the area of the region lying between the x-axis and the curve In(82) – 1 to the right of the…

A: Given curve is: y=ln8x-1x2 The area of region of the curve lying between x-axis and right of the…

Q: 6. Compute the area enclosed by the curves y = x² - 9 and y = 9-x2. Page 5

A:

Q: Approximate the area under the curve of y =-+x+5 over the interval x = -1 to x = 4 using 5 left…

A: Formula: Using left end points AL = Δx[f(xo)+f(x1)+......+f(xn-1)

Q: 29. Estimate the area under the graph in the figure by using (a) the Trapezoidal Rule, (b) the…

A:

Q: Find the area under the curve of y = x+3 fiom =-3 to x= 1 with and circumsaribed rectangles. O 26…

A: We need to find area under curve.

Q: x* = 9-y and x*= By By

A:

Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

A:

Q: Find a formula for the area A(w) of the triangle bounded by the tangent line to the graph of y = ln…

A: Given  y=ln x11y=11(lnx) We need to find out the tangent line. First we find out the slope To find…

Q: Find the area between the graph of y = sin x and the line segment joining the points (0, 0) and ,as…

A:

Q: The area bounded by the curve y 3x and the lines x = 4 and x = 36 above the x – axis - is O 3888.00…

A:

Q: 1 6. Find the number a such that the line x = a bisects the area under the curve y =

A:

Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3

Q: Find the area under the curve y = over the interval [4, 7]. (4x + 3)2 Enter the exact answer. area =

A:

Q: 1. Approximate the area under the curve y = sin(x) from 0 to - using 8 approximating rectangles of…

A:

Q: 4. 29. Estimate the area under the graph in the figure by using (a) the Trapezoidal Rule, (b) the…

A: For (a), We will be finding the area by the trapezoidal rule.

Q: Find the area under the curve  over the stated interval. fx=x^-2/3;[1,27]

A: Area under the curve f(x) between the interval [a,b] is given by:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.