dw If w is a function of x, y, and z, which are all functions of t, explain how to find dt Choose the correct answer below. aw dy dx dy dy dz dw dw dx O A. dt dw dy dy dt dw dw dx dw dz O B. dt dx dt dz dt dw O C. dw dw dw %3D dt dx dy dz dw dx dw dy dw dz dw O D. %3D dt dx dt dy dt dz +1

Q: Determine E (Y) and V (Y) y f (x, y) -1.0 -2 1/4 -0.5 -1 1/2 0.5 1 1/8 1.0 1/8 a. E(Y) = -0.63 %3D…

A:

Q: Given functions sin3x and 2sin3x are a. Linearly Dependent b. Linearly Independent c. Both are…

A: The two functions f(x) and g(x) are linearly dependent if and only if one function can be written as…

Q: zow(t)dt = zo / w(t)dt. 2. a. [w(t) + W(t)]dt = | w(t)dt + | w(t)dt 3.

A: The general formula for the integration is I=∫abf(x)dx. Here, a is the lower limit and b is the…

Q: , use (10.10.1) to determine L[f].

A:

Q: If zis implicitly defined as a function of x and y by xy-yz+xz=0, find dz/dx. (y+z)/(y-x)…

A:

Q: Write a chain rule formula for the following derivative. for w = f(p, q); p = g(x, y), q = h(x, y) O…

A: The required derivative will be equal to (partial derivative of w with respect to p)(partial…

Q: In Exercises 61-67,firstfind f' and then find f.

A:

Q: Assume x and y are functions of t. Evaluate dy,dt for each of the following.:

A: Given: x2+yx-y=9, dxdt=2, x=4 ,y=2, where x and y are functions of t. To evaluate: dydt. Solution:…

Q: Vrite a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) O dz dr…

A: Given that z=fr, s; r=gt, s=ht We have to write a chain rule formula for the derivative ∂z∂t i.e.…

Q: dy a. Decompose the function in the form y = f(u) and u = g(z), and then b. find as a function of z.…

A: y=2x+34

Q: I f(e) = [_ v'a t'dt then Preview f'(z) = Preview f'(5) =

A: fx=∫-1xt7 dt⇒fx=t88-1x⇒fx=18x8--18⇒fx=18x8-1 Now differentiating with respect to x, we get…

Q: Suppose that a g(t) dt = v2. Find g(1) dt b. g(u) du а. [-g(x)] dx /"g(r) с. d. dr -3

A:

Q: If f(u,v,w)=u+v2sinw  and u=x−y, v=y−z, w=z−x find  fx+fy+fz=?

A:

Q: If x = f(/y+ 1) then, 2vy f(Vy+1) 1. y' = vy f'(Nj+1) 2Vy f'(Vj+1) 2. у'" 3. у' 4. y' == 2 f'(Wy+1)…

A:

Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y =…

A: Given w=f(x,y,z) x=g(r,s,t) y=h(r,s,t) z=k(r,s,t)

Q: min tu(t)? + t°«(t) dt u 1 subject to a'(t) = -u(t), x(1) =1.

A: We will use the Euler-Lagrange equation to find the optimal solution in x(t)  Then we will…

Q: Suppose that y is a function of u, u is a function of x, and u = -1 when x = 2. If du/dx|x=2 = 3 and…

A: Solution

Q: Let f(x, y, z) = x°y* + z* and æ = s³t2, y = st, and z = st. (a) Calculate the primary derivatives…

A: Given the functions

Q: Suppose that f, g(t) dt = /2. Find g(1) dt g(u) du а. b. c. [-g(x)] dx 'g(r) dr d.

A: Follow next step

Q: dw If w is a function of x, y, and z, which are all functions of t, explain how to find dt Choose…

A: Given: w is a function of x, y, and z which are all functions of t. To explain: How to find dwdt.

Q: Example 23: Show that, if Y (t) = X (t + a) – X (t – a), then, (i) Ryy (t) = 2 Rxx (t) – Rxx (T +…

A:

Q: Write a chain rule formula for the following derivative. for w = f(x y.z), X = g(rs,t), y =…

A: We will use chain rule to find given derivative.

Q: (p v q) → (p ^ q). p pv q (pv q) → (p ^ q) (Click to select) : (Click to select) : (Click to select)…

A: Statements formed by combining two statements using an operator is called a conditional statements.…

Q: Let G(x) = ²* w(t) - [² d dt. t4 a Find a function, w, and a number, a, such that G(x) = 4x¯ w(x) =…

A: Given G(x)=∫axw(t)t4dt and G(x)=4x-2-1

Q: Use the Fundamental Theorem of Calculus Part I to find dh/dx given h(x) = cost dt (Hìnt: need…

A: Answer:  By fundamental theorem of calculus  Let fx=∫axbx gt. dt   dfdx=gbx.b'x-gax.a'x

Q: 13 If f(x) = t? dt then %3D f'(x) = %3D

A:

Q: x2 B) If w = x".f then show that: %3D x. Wx + y. Wy = nw.

A:

Q: A consumer has utility function xy u(x, y) = x+y

A:

Q: dw 3 at t = dt uate u for the function w 2 4 TC 2 TC

A:

Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =…

A: Here, w=f(p,q,r), p=g(t), q=h(t) & r=k(t) So,

Q: 10 1. S" f(t) 8(t – 6)dt, f(t) = t2. %3D -

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 14. F(t) = 27,0st<3; F(t + 3) = F(t) %3D %3D 15. F(t) = {.0<t< 4

A: Note : " As per our guidelines we will solve the  first question . If you want any specific question…

Q: H(x, y)  =  ln(3x2 + 9y2) (a) Find  fxx(2,3) . (b) Find  fyy(2,3) . (c) Find  fxy(2,3) .

A:

Q: Let X and Example 20. PDF 0<I<3, 0<yS3 fxy(r, y) = otherwise Find

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: дхдуда dydzdx dzdxdy

A:

Q: 2. Show that the function u = p(ry) + /TY p(y/x) provides the equation ‚Pu dy² y² = 0. %3D

A:

Q: Example Find the F.T of rectangular pulse (%) To - f(t) = A rec T %3D

A:

Q: Let g(t) = dx a) Evaluate d 3t dx dt b) Evaluate d. dx dt c) Evaluate g' (t) =

A: Differentiate

Q: If f (x) = | e'f(t) + e* dx then f(x) is equal to 2ee® –1 +1 + 1 2ee-1 2ee" –1 – 1 ee -1 + 1

A:

Q: If f(x,y) = xy – xe" + ycos x, then

A:

Q: (a) || f(x,y) dA = L f(x, 9) dyda + 1 f(2, 4) dydr R (b) || f(x,y) dA f(x, y) dædy R (2, 3) (5, 3)…

A: We need to write the limits accoding to x and y asix.

Q: If f(x, y) = xe"y – In(xy), then a f dxdy =......

A:

Q: Suppose that , g() dt = V2. Find -3 8(1) dt b. g(u) du а. g(r) dr d. C. /[-s(x)] dr

A: Given:  ∫-30g(t)dt = 2Formula: (i)   ∫abf(x)dx=∫abf(y)dy…

Q: Write a chain rule formula for the following derivative. dw for w = f(x,y.z); x= g(r,s.t), y =…

A:

Q: Write a chain rule formula for the following derivative. dw for w= f(x y,z); x=g(r,s,t), y =…

A:

Q: (b) Find öw/ds and öw/dt by converting w to a function of s and t before differentiating. aw %3D ds

A: w=xyzx=s+2ty=s-2tz=st2To find ∂w∂s and ∂w∂t

Q: If x = g(t), y = h(t), z = f(x, y) , g(3) = 2, g'(3) = 5, h(3) =7, h'(3) = -4 , fa(2, 7) = 6 , f:(2,…

A:

Q: Suppose that g(1) dt = V2. Find -3 g(t) dt b. g(u) du а. -3 [-g(x)] dx d. с. -3

A:

Q: Determine whether the given set of functions is linearly dependent or linearly independent Yı = cos…

A:

Q: The derivative of the product of two functions is y = [u] [v] O d [uv] = vdu + udu %3D O d [uv] =…

A: If we have a function, such as f(ax), then we can say that the derivative of the function is such…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.