How do I show that d(x,y,z)/d(p,phi, theta) = (p^2) * sin(phi)?

Q: Integrate {w^7 * cos(3w^4)dw

A:

Q: What is dy/dx for y=cos(sinx)? O a) dy/dx = -sin(cosx) Ob) dy/dx = sin(sinx) O c) dy/dx =…

A:

Q: find f'tx) w/

A:

Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: Convert the equation (x² + y²)³ = 4x²y² to polár form. " %3D

A:

Q: Let f(x,y)=tan^-1(y,x). Find and simplify fx and fy. Then find and simplify fxx, fxy, and fyy.

A:

Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

A:

Q: Find f if f"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) = = 2e^t-3sint+ (2e^(pi) - 5)/(pi)t

A:

Q: d 1+ sin² (2)| dz

A:

Q: (tan V) (sec V) b) Evaluate dx

A: Given integral: I=∫tan4(x)sec2(x)xdx

Q: Evaluate f, f,(1-2) L(-dy dx dz

A:

Q: Given f(r,theta) = r*sin^2 (theta), and g(r, theta, z) = r*z*sin^2 (theta). How do I find the…

A: Mathematical Description of GRADIENT: In vector calculus, the gradient of a scalar valued…

Q: Solve cosx dx + (sinx)y=1 Select one: O ay sinx + ccosx O b. y = 2sinx + 2cosx + c O c. y = sinx –…

A:

Q: fostp Ex=(Xzy)=-3:52-25)

A:

Q: Determine order and degree * d'y d'y + cos dr? dr? 2 O 5 undefine- Not linear

A: The degree of a differential equation is the power of its highest derivatives.

Q: Ssin8 (3z) cos5 (3z) dz

A:

Q: 4x2-5х+6, 3. S(*-*+*)d *“)dx x2

A: We have two types of integrals in general, namely definite and indefinite integrals . The definite…

Q: Lion 1-y If x = Show that 1+y dy V1-y

A:

Q: p(x) = (-2x)f(x), q(x)= f(g(x)), r(x)= 31 Use the table to find the derivative values. f(x) %3D

A:

Q: Differentiate, hcx) = In (x-Vr

A:

Q: cosx Show that J-3(x) = -. + sinx)

A:

Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: Find Sor y. Sin X- xp X+1

A:

Q: 1- sinv cosv = 2 secv cos v 1- sin v

A: To prove: 1-sinvcosv+cosv1-sinv=2secv Proof: Simplifying the left hand side of equation.…

Q: Find (dr)/(d\theta ). r=1-\theta ^(3)sin\theta

A:

Q: Let F = (cos(5t), sin(3t) , 5t“) and G = (t cos(5t), cos(5t), Find F +G = (5t^4)+sin(3t)+t^4(C

A: