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FIND THE FIRST 3 TERMS OF THE POWER Series of y.4esc (2x) LUSE MAY USE TABLE)...
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and...
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
3. (a) Given I = S, V10(2x + y) ds where c is the straight line...
3. (a) Given I = S, V10(2x + y) ds where c is the straight line segment y = 3x from (0,0) to (2,6) as shown below. 2 (1 mark) 0) With x = t, express y in terms of the parametert for the straight line. () With ds = dt, express ds in terms of parameter t and its derivative. (4 marks) C) Use the above (i) and (ii) results to find the value of I. (5 marks) (b)...
Question 15 The curve with the equation y = 3x + 2x + 5 is shown...
Question 15 The curve with the equation y = 3x + 2x + 5 is shown below. (-1,0) 0 x The curve cuts the x axis at the point A(-1,0) and cuts the y axis at point 8 a) State the coordinates of Point B and hence find the area of the triangle AOB (3 marks) b) Find 3x5 + 2x + 5 dx (3 marks) c) Find the area of the shaded region bounded by the curve and the...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, cen...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
15. Let f(x) = 2 . 2+x a) Find the power series representation of f(x) centered at o b) Use the power series representation to find ½ dx. 16. Find the Taylor Series for f(x) = sin (2x) centered a...
15. Let f(x) = 2 . 2+x a) Find the power series representation of f(x) centered at o b) Use the power series representation to find ½ dx. 16. Find the Taylor Series for f(x) = sin (2x) centered at T.
15. Let f(x) = 2 . 2+x a) Find the power series representation of f(x) centered at o b) Use the power series representation to find ½ dx. 16. Find the Taylor Series for f(x) = sin (2x) centered...
3. (10 pts) Find the area of the region bounded between y = xe-*?, , y...
3. (10 pts) Find the area of the region bounded between y = xe-*?, , y = x + 1, x = 2 and the y-axis. Note that the graph of the region is provided below. You can leave your answer in terms of e. y=x+1 x2 X-0 0 0.5 1. 0 dy Use the Fundamental Theorem of Calculus to find dx for y = = L* sin (t2)dt.
can younplease answer all of these i need it for a review please u-x+y, V--2x+y S...
can younplease answer all of these i need it for a review
please
u-x+y, V--2x+y S S 5ydx dy R where is the parallelogram bounded by the lines y=-x+1, y=-x +4, y = 2x + 2, y = 2x + 5 o Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral. The coordinate axes and the line § 35 dy dx x/3 5(1 - x/3) dy dx °? I ddy of...
Find the first four nonzero terms in a power series expansion about for the differential equation given below.
Find the first four nonzero terms in a power series expansion about x0=0 for the differential equation given below.2y'-4e^3xy=0, y(0) = 6y(x)=a+bx+cx^2+dx^3......
Find the first four nonzero terms in a power series expansion of the solution to the...
Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 5y'-6 e*y=0; y(0) = 3 y(x) = + (Type an expression that includes all terms up to order 3.)
please answer both!!! (1 point) Use the binomial series to find the first 5 nonzero terms...
please answer both!!!
(1 point) Use the binomial series to find the first 5 nonzero terms of the power series centered at x = 0 for the following function and then give the open interval of convergence for the full power series. 1 f(x) = (5 + x)5 f(x) = + + + + ... + (Give your The open interval of convergence is: answer in interval notation.) (1 point) For the following indefinite integral, find the full power series...
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
3. (a) Given I = S, V10(2x + y) ds where c is the straight line segment y = 3x from (0,0) to (2,6) as shown below. 2 (1 mark) 0) With x = t, express y in terms of the parametert for the straight line. () With ds = dt, express ds in terms of parameter t and its derivative. (4 marks) C) Use the above (i) and (ii) results to find the value of I. (5 marks) (b)...
Question 15 The curve with the equation y = 3x + 2x + 5 is shown below. (-1,0) 0 x The curve cuts the x axis at the point A(-1,0) and cuts the y axis at point 8 a) State the coordinates of Point B and hence find the area of the triangle AOB (3 marks) b) Find 3x5 + 2x + 5 dx (3 marks) c) Find the area of the shaded region bounded by the curve and the...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
15. Let f(x) = 2 . 2+x a) Find the power series representation of f(x) centered at o b) Use the power series representation to find ½ dx. 16. Find the Taylor Series for f(x) = sin (2x) centered at T.
15. Let f(x) = 2 . 2+x a) Find the power series representation of f(x) centered at o b) Use the power series representation to find ½ dx. 16. Find the Taylor Series for f(x) = sin (2x) centered...
3. (10 pts) Find the area of the region bounded between y = xe-*?, , y = x + 1, x = 2 and the y-axis. Note that the graph of the region is provided below. You can leave your answer in terms of e. y=x+1 x2 X-0 0 0.5 1. 0 dy Use the Fundamental Theorem of Calculus to find dx for y = = L* sin (t2)dt.
can younplease answer all of these i need it for a review
please
u-x+y, V--2x+y S S 5ydx dy R where is the parallelogram bounded by the lines y=-x+1, y=-x +4, y = 2x + 2, y = 2x + 5 o Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral. The coordinate axes and the line § 35 dy dx x/3 5(1 - x/3) dy dx °? I ddy of...
Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 5y'-6 e*y=0; y(0) = 3 y(x) = + (Type an expression that includes all terms up to order 3.)
please answer both!!!
(1 point) Use the binomial series to find the first 5 nonzero terms of the power series centered at x = 0 for the following function and then give the open interval of convergence for the full power series. 1 f(x) = (5 + x)5 f(x) = + + + + ... + (Give your The open interval of convergence is: answer in interval notation.) (1 point) For the following indefinite integral, find the full power series...
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