help with 5 and 6? 5. Find the interval of convergence of .. A) O B)...
-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...
13) Find an equation of the tangent line to the curve y=sin(5x)+cos(8x) at the point (π/6,y(π/6)). what is the tangent line: 14) f(x)=4x^2cos(4x) what is the first and second derivatives and solve both for F(5) NOTE There should be four answers! 16) Suppose that f(x)=3x/(4−5x^)3 find an equation for the tangent line to the graph of f at x=2. the tangent line: y=
how to do 1a and 1b? 1. a) Find the slope and the equation of the tangent at x = y = 2 sin x + 4 cos x for the curve: [K-7 Marks] UVOM sanatos basculto lo o b [K-5 Marks) b) Differentiate one of the following two: oo i) y = 2 sinº x cos(3x) SPA ii) y = 2 cos? (5x) - sec x d əb bro bis o gno
6. Find values for a,b,c,d so that the curveyx + x + bx? + + has a tangent line at whose equation is y = 2x + 1 and a tangent line at: - I whose equation is y=2-3x
For problems 5 and 6 find the radius of convergence and the interval of convergence 5. 5 (x-3)n V n=0 n3n TS r3n+1 (2n - 1)(2n +1)
please help me and show all the steps and make sure it's correct [10pts.) 5. Find dy and the equation of the tangent line at the point (x,y)=(-2, 0) on the curve r = 21-sin(@)). Include a graph of the polar curve with the orienation indicated. dx [10 pts.) 6. Graph the polar equations r = 5 cos(30) and r = 3cos() for --/2S15 /2. Label any key points needed to find the area that lies in the common interior...
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
Question 4 Find the interval of convergence for 24 a) O(-1,1) b) O(-4,4] c) 0 [-4,4) d) O(-1,1) e) O(-1,1] Question 9 Find the interval of convergence for k* (7 – 7)* a) (-1,1) b) o(-e, e) c) O(-e+7, e + 7) d) 0f-e+ 7, e + 7) e) 01-1, 1
5. Suppose that the line tangent to the graph of y = f(x) at x = 3 passes through the points (-2,3) and (4, -1). What is the equation of the line tangent to f(x) at x = 3? (1) y=x+ (3) y = -x +5 (1) y= {x +3 (2) y 6. Let f(x) = 7 sin(x + 7) + cos2x. Compute f(13)(O). (1) 8 (2) 7 (3) -8 (1) -7 ----- 7. Differentiate f(x) - 1.6+3 Vã+1 (1)...
The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at the given point. 4x2 + 3xy + 3y2 +17y - 4 = 0,(-1,0) (a) Give the equation of the line that is tangent to the curve at the given point y = (b) Give the equation of the line that is normal to the curve at the given point. y = Suppose that fis an odd function of x....