2. A dragon is flying around in a pattern given by the parametric curve r(t) (cos(t) cos((sin(t) sin(t) cos(t)j. cos(t) - cos sin(t)-sin(t) cos(t))j (a) Find a formula for the velocity of the dragon at time t (b) Find all the times at which the dragon's speed is zero. Explai...
It’s review question, I need this as soon as possible. Thank you 3) For thè diferential equation: (a) The point zo =-1 is an ordinary point. Compute the recursion formula for the coefficients of the power series solution centered at zo- -1 and use it to compute the first th...
Dont copié formé thé book oh ya dont copié formé thé book cause you Oiil inde up being triste soi remembré not toi copié frome thé book oh ya!translation in english please!
Let us Study 3t x(t)=阿 t3 +1 y(t)=阿 A parametric curve in polar coordinates, or polar curve for short, is a parametric curve given in the special form x(0)-ρ(θ) cos(0) 8. Find the expression of ρ(9). For which values of θ is it defined? A priori, which polar curves are there t...
C program write a program to enter a text. Then enter a pattern and count the number of times the pattern is repeated. Enter string: she sells sea shells near the sea. Enter pattern: sea pattern find 2 times
The only ideas that can be used include: area ABCI-RA2(A+B+C-lpi), the Pythagorean theorem: Cos c cos a cos b. Vectors-dot product cross product, sin A-sin a/sin c; cos A-cos a sin b/sin c; spherical law of sines, spherical law of cosines for sides and spherical law of cosin...
find all solutions in the interval [0,2 pi) sin(x+(3.14/3) + sin(x- 3.14/3) =1 sin^4 x cos^2 xSince sin (a+b) = sina cosb + cosb sina and sin (a-b) = sina cosb - cosb sina, the first problem can be written 2 sin x cos (pi/3)= sin x The solution to sin x = 1 is x = pi/2 For your o...
Dots are arranged to form pattern as show below: pattern 1 they are 2 pattern 2 they are 5 pattern 3 (a) how many dots are in the 4th, 5th, 11th, 200th patterns?
convert to radians 5) γ 4cos (2θ-5) r 3 (sin(e - 2))2 + 4 cos(20-5) r-6(sin(9-2))2 + 4 cos(2e-5) 9(sin(9-2))2 + 4 cos(2e-5) r 12(sin(e - 2))2 +4 cos(20 5) 5) γ 4cos (2θ-5) r 3 (sin(e - 2))2 + 4 cos(20-5) r-6(sin(9-2))2 + 4 cos(2e-5) 9(sin(9-2))2 + 4 cos(2e-5) r 12(sin(e...
Solve the following equation for 0 less than and/or equal to "x" less than and/or equal to 360--cos^2x - 1 = sin^2x--Attempt:cos^2x - 1 - sin^2x = 0cos^2x - 1 - (1 - cos^2x) = 0cos^2x - 1 - 1 + cos^2x = 02cos^2x - 2 = 0(2cos^2x/2)= (-2/2)cos^2x = -1cosx = square root of -1And I c...
Problem 3 (12 points) The curve with parametric equations (1 + 2 sin(9) cos(9), y-(1 + 2 sin(θ)) sin(0) is called a limacon and is shown in the figure below. -1 1. Find the point (x,y 2. Find the slope of the line that is tangent to the graph at θ-π/2. 3. Find the slope of the l...
2) Use the sum and difference identites sin[x + pi/4] + sin[x-pi/4] = -1 sinx cospi/4 + cosxsin pi/4 + sinx cos pi/4 - cosx sin pi/4 = -1 2 sin x cos pi/4 =-1 cos pi/4 = sqr2/2 2sin^x(sqrt2/2) = -1 sin x = -sqrt2 x = 7pi/4 and 5pi/4 Am I correct?
the original problem was: (sin x + cos x)^2 + (sin x - cos x)^2 = 2steps too pleaseI got 1 for (sin x + cos x)^2 but then what does (sin x - cos x)^2 become since it's minus?
The identity of: sin^4x+cos^4x= (sin^2x+cos^2x)(sin^2x+cos^2x) sin^2x+cos^2=1 This is the answer I come up with, it is not one of the options available as an answer. The answers given are 1. -2sin^2xcos^2x 2. 1+2sin^2x-2sin^4x 3. 1+3sin^3x-2sin^2x 4. 1-2sin^2x+2sin^4x 5. 0
Find the length of the parametric curve x=cos(cos(2t)),y=sin(cos(2t)) for 0<