If F(K,L) =InK?+InL², compute FL(1, 1). Enter the answer in the space provided. If your answer is numerical, and a decimal point, round to two decimal places.

Q: (c) Suppose that ƒ hits every value between y = 0 and y = 1 on the interval [0, 1]. Must ƒ be…

A: A function is continuous when its graph is a single unbroken curve , that you could draw without…

Q: Juneten and be fure at lebel aut least thre f (n) : Su

A: As asked we can find the answer as below

Q: xy x-y

A: Let us consider functions 'u' and 'v' such that u=xyzv=x-yz Partial differential equation can be…

Q: If f'Cx) ="e find all wrical auedy or honilantal Ao

A: Here we have to find the vertical and horizontal asymptote of the function f'(x)=-e1xx2

Q: 7) if p(X) =- ) , and grea) =0; g'LW)=), Find f'la). %3D

A:

Q: If f(x, y) = 3x – 7y, r(t) = (tª, t³), t= 2, then what is 4 f(r(t)) att = 2? dt

A:

Q: Let f be a differentiable function of one variable, and let w = f(p), where p = (x² + y² + z?)\/2.…

A:

Q: Given the function f(x, y) = e5-2x+3y, approximate f(4.1, 0.9) using point (4,1) for (xo, yo). What…

A:

Q: Show that a function f : R? → R defined by S (7, y) = ! if (x, y) + (0,0) 0, if x = y = 0 is…

A:

Q: Estimate the value of f, (1 – r 4.r + 2x) dr using single application Simpson's 1/3 Rule.

A: This is a Numerical Analysis problem.

Q: Find fry for f(x, y) = In(x – y).

A:

Q: Determine L '{F}. s?F(s) s+5 + 3sF(s) – 10F(s) = %3D 2 s+ 6s

A:

Q: If A(x) = f(t)dt is increasing on [0,10], then f(x) must be increasing on [O,10]. True False

A: Given

Q: For the function f(x,y,z) = In (5x + 7y + 1Oz), find f,, f, and f,.

A:

Q: Q2: Expand f(x,y) = [sin (x y³)]² about (5, 1).

A:

Q: Consider the function f(x) = ex – 1, the third approximation of the zero p, of f using Nweton's…

A:

Q: Given f(x, y) : 5x? + 5y2, evalue the following to at least 4 decimal places. fz( – 3, 1) =

A:

Q: 3. If f(x, y, z)= In xyz te(3.0²), find f,,f, and f-· 4

A:

Q: 1. Find the interval(s) wheref(x) = xe6* is concave down, if such an interval exists.

A:

Q: is Continuous and S' fldx=l6, find S xf(x*)a

A:

Q: Find the artho gon al traje eteries to c°y" - 4y + x*

A:

Q: In ΔFGH,  FH is extended through point H to point I, m∠FGH=(x−2)∘,  m∠GHI=(4x−5)∘, m∠HFG=(x+19)∘.…

A: Given that     FGH is triangle. FH is extended through point H to point I .

Q: Use the linear approximation (1 + x)k = 1+ kx, as specified. Estimate 1.012.

A:

Q: If f =x-e" and F=x'yi-2y'zj + xy'z'k, find: div(F x grad(yf )) at (4,1,-2)

A: The function                     Then, we have to find

Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

A: In this question, f is a primitive function and we have to find f(4). So I am providing the…

Q: Given the function f(x,y)=e5-2x+3y, approximate f(4.1,0.9)using point (4,1) for (xo, yo). What is…

A: The linear approximation of f(x, y) at (a, b) is the linear function  L(x, y)=f(a, b)+fx(a,…

Q: If z =e* + In(xy) Evaluate- ,and ,at the point (1, 2). Hence, calculate the change in z when x…

A:

Q: F(x+ y,x-Jz)= 0

A:

Q: f(z) =e? is contiuous in C

A:

Q: Find the si0pe of the given Function メト at メ= y' 1.) u= Vler*) at x = 2) 4= In(3メ-2) a+ x= こ %3D

A:

Q: Suppose f(r) = (In z)e. What is f'(x)?

A: d/dx (f(x)g(x))= f(x)g'(x)+g(x)f'(x)

Q: Establish the interval where the function h ( x) *x° + 1 is concave down (CD), and find its point of…

A:

Q: 5 Show that the function h(r, y) defined by if r +y? < 1 h(x, y) 0; if r +y 2 1 is discontinuous.

A: For continuity of 2 variable function L.H.L=R.H.L=Function value at (x,y). limx→a+,y→b+…

Q: So So t² etu du dt

A: Given, ∫03∫0tt2etududt

Q: Let f(x,y) = xcosy – ye*y. fry at (1,0)is equal to: -1 -5

A: fx is partial derivative with respect to x fy is partial derivative with respect to y

Q: consider a function f:lo 11-» R. and etheruoise iff RELmaan amntegrable DY not A=3+1

A:

Q: Suppose f(x, y) = xy² + 1. Compute the following values: f(0, 1)= f(1,0)= f(0, 0)= f(2, 1)= f(t,…

A: we have given f(x,y)=xy² +1. We have to find the following . Now for f(0,1) we can put x=0 and y=1

Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

A:

Q: f(z) = e? is contiuous in C

A:

Q: If f(1) = 13, f' is continuous, and f'(t) dt = 28, what is the value of f(4)?

A:

Q: If f"(c) = 0, then f has an inflection point at c. %3D

A: Answer: True.

Q: Suppose you know that: • f(0) = - 18 f(1) = -17 • ( f (y) et dy = 10 Evaluate: [ = f'(t) et dt

A:

Q: xyz f(x.y.z) = et ot function is given P(2,,4) in point fux + fyy + fzz colculate.

A:

Q: If f(2) = 14, f' is continuous, and f'(t)dt = 23, what is the value of f(5)=? %3D

A: Given :

Q: Suppose w is a function of x, y, and z, which are each functions of t. Explain how to find dw/dt.

A: Given data:"w" is a function of (x,y,z). Therefore, w(x,y,z). And the function x, y and z are the…

Q: Use the False Position method to find an approximation to the value of v7 that is accurate up to…

A: False position method formula x2=x0-f(x0)⋅ x1-x0 f(x1)-f(x0)

Q: If f(2) = 13, f' is continuous, and | f'(t) dt = 27, f(6)? what is the value of Answer:

A:

Q: Use the linear approximation to ƒ(x, y) 12x² at (3, 9) to estimate f(3.1, 8.8). y2+7 (Use decimal…

A: