10. (r + sin e - cos e) dr + r (sin e + cos e)d e = 0
Q: 9 NO ION If g(x) = [ cos t dt, find g '(x). %3D x10 -sin (x) -10x cos (x) COS 1 cos (x°) %3 10x9 cos…
A:
Q: 3. Obtain in two ways the general solution of (r + sine - cose ) dr + r (sine + cose ) de = 0
A: Use substitution method
Q: 1. 6(x) = e- sin a, for y' + y cos x
A:
Q: Solve for the general solution of (cos x cos y – cot x)dx – (sin x sin y)dy = 0.
A:
Q: 18) e2x = sin(x + 3y)
A:
Q: Differentiate y= e*cos (x²): y = A e(cos(x?) – 2xsin(x?)) B -2xe"sin(x?) (c) e*cos(x²) – 2 xsin(x²)…
A:
Q: 4. sin 'xcos 2 O J sin xcos"xdx (8)
A: NOTE: You have posted multiple questions we have given answer to the first question if there is a…
Q: 7. Differentiate w.r.t x- sin 5x cos 3x
A: Given problem:- Differentiate w.r.t x sin5xcos3x
Q: The approximation of I = = co cos (x²+5) dx using simple Simpson's rule is:
A:
Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS
A: Given
Q: 4. Find fyryzyaz, if f(r, y) = x² cos[100(e" + /1+ y²)®]
A: Given; f(x,y) = x2cos[100(ey+√(1+y2))y]
Q: If k0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to [−sin(kx) + sin³(kx)] + C the…
A: To evaluate the integral.
Q: Compute and * for the equation sin(x)e +2z²y = cos(z). 4xz COS ду
A: sinxe4xz + 2z2y = cosz∂z∂x = ?∂z∂y = ? While calculating ∂z∂x variable y will be considered as…
Q: y = (sin x +cos x) sec x = sec² x
A:
Q: 3- The integration of ſ cos(7x + 5).dx is: (a) cos(7x + 5) + C (b) sin(7x + 5) + C (e)극 sin(7x + 5)…
A: The given integral is, I=∫cos7x+5dx Now, substitute z=7x+5in the above integral,…
Q: (11) y" +3y' – 2y = e-2"[(20x + 4) cos 3x + (-32.x + 26) sin 3.x] (12) y" + 9y = sin 3.x + cos 2.x
A: We are entitled to solve only one ques at a time and up to 3 subparts only. Given - y'' + 3y' - 2y =…
Q: 15. For fe' cos x dx, what is du? cos x e' dx - sin x dx G(e* cos x + e" sin x) + C
A: The given question can be solved as shown in step2.
Q: 4) Find when y? - x2 + cos(x + y) = 0 %3D dx
A:
Q: 1) x² sin(y') + xe2 – cos(z?) = 3y– 6z + 8 cos(z?) = 3y – 6z + 8 %3D -
A: Given; x2siny3+xe3z-cosz2=3y-6z+8 Now differentiate partially with respect to x we get,…
Q: dz 1) Find ifz = 3 cos x – sin(xy),x =y = 3t - dt
A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered…
Q: 3) = + sin (4) r = y(In y- In r+1)
A:
Q: 2. The antiderivative of cos Π.Χ. A. -cos 2 B. KIN COS C. sin D. sin π.χ. is
A:
Q: Take the derivative of this integral.
A: Given
Q: 2. If y = e-* cos 2x, then f'(x) = %3D
A: Given : fx = e-xcos2x
Q: 1. S sin (2x) dx [sin(In x) + cos(In x)]² dr -dx 2. 4 3. S 3x/10 In(3x) – (1In(3x))? xp: 3(cos x)? +…
A: According to bartlybe guidelines I have right to solve only one question at a time..... Please put…
Q: 10. Given that 2y- sin 2x =0 and y = 0 when x 0, then y?= %3D %3D dx B. 1-cos 2x C.-2 cos 2x A.…
A:
Q: 3 8) 1--sin (2t) = sin' (t) + cos (t) sin(t) + cos(t)
A: Given, 1-12sin2t=sin3t+cos3tsint+cost
Q: 2 2メ Q1 find dy for y = Cos ( In x + e
A: we have to derivative with respect to x
Q: .2. COS X sın.x.ços.Xdx
A:
Q: 4. Find the solution of the equation = e * cos y dy? which tends to zero as x → 0o and has the value…
A:
Q: トキ 4 Sin Yx cos? dn SinYy
A:
Q: 18) * x-sin 2x ; find y" y y" cos 2x y = 7 %3D Option 3 O Option 1 y" sin 2x
A: First we find out first derivative with respect to x then we find out 2nd derivative with respect to…
Q: Solve for Linear DE of Order n: y′′−3y′+2y=cos(e^−x)
A: Using General Method of Linear D.E.
Q: 1-Let :=x+iy then cosh(iz ) is equal to a-cos' y+ sinh' x b-cosh' y-sin'x e- sin' x+ sinh v d- None…
A: Let z=x+iy therefore, iz=ix+i2y=ix-y=-y+ix we know that coshz=ez+e-z2 therefore, cosh…
Q: dy/dx+ytanx=cos^2(x)
A:
Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x d'y dx? 1-cos4x 6. if y = 1+cos4x du
A: Topic:- derivatives
Q: 11. sin(x) + cos(y) = ey
A:
Q: 9. Find the value of k so that (2y sin x cos x - y+ 2y²e")dx - (x- sin? x+ kxye*)dy = becomes exact.…
A: To find the value such that given equation is exact differential equation.
Q: 1. f/² sin (1) cos (4) Sir sin (²) dx (Consider initially the first 2 terms)
A:
Q: 4. S(1 – cos 4u) du 5. S sin x cos x dx
A: 4) Given: ∫1-cos4udu Apply linearity: =∫1 du-∫cos4u du =u-∫cos4u du
Q: 7. Over the domain 0s x s2n, the equation cos(x)-sin(x)%3D2 cos(2x) has:
A: We find the solution in the following way by using trig identities.
Q: 13. e-2t cosh³ 2t 14. cosh at cos at V3 t 15. sinh sin: 2
A:
Q: 2 Recall thal cos-x= arccos x, Find /2 X Sin (cos x) dx. C.
A:
Q: dy.xandy in =cos = COS e
A:
Q: 9. (2 sin x – 3 cos x) dx • T/2 - T/2 -
A: We use Trigonometry table for final answer and cos(-x) = cos(x) sin(-x) = -sin(x)
Q: What is the general solution of (r + sin 0 cos 8) dr + r (sin 0 + cos 0) d0 = 0 ? %3D rsind rcose =…
A:
Q: Determine the general solution of (cos(x)cos(y)-cot(x))dx=(sin(x)sin(y))dy
A: Given: cos(x)cos(y)-cot(x)dx=sin(x)sin(y)dy
Q: 4 sin (In t) cos`(1nt) dt 5.
A:
Q: 20. e2= cos(z/4) dz
A:
can you please give me the solution for number 10
Step by step
Solved in 2 steps with 4 images
- 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?elimination of first degree variable: 3x+y-z=11x+3y-z=13x+y-3z=11The productivity of a country is given by f(x,y)=13.73x0.437y0.563, where x is the amount of labor and y is the amount of capital. (A) Find fx(x,y) and fy(x,y). (B) Find fx(69,58) and fy(69,58), and interpret the results. (A) fx(x,y)= fy(x,y)=
- Equation: 150x-66y+10z=1500 1x+120y-55z=1200 1x-75y+110z=-900 Using Jacobi Method, determine X3, Y3, and Z3 if initial guess X1=0, Y1=0, Z1= 0.16. General Solution of x4y' = -x3y-csc(xy) isThe productivity of a country is given by f(x,y)=14.41x0.427y0.573, where x is the amount of labor and y is the amount of capital. (A) Find fx(x,y) and fy(x,y). (B) Find fx(69,54) and fy(69,54), and interpret the results.
- 140x - 99y + 10z = 14504x + 130y - 93z = 12504X - 105Y +125Z = -850 Using Jacobi Method, determine X4 if initial guess X1= 5, Y1= 4, Z1 = 3.How to find the particular solution of y' = x+y? It will be really helpful if youp pleaseexplain me step by step ?Finding a general solution using separation of variables. (2+x)y'=3y