Question 3 Given F(x) = VVx – 1, find functions f, g,h such that F = f °go h.

Q: Question 2 By using appropriate properties, find F (s) for the function f(t)=(t+3e" )sin(41)

A: The solution is given as

Q: Question 3 A function is defined by f (x, y, z) = 2² – cos(xy), find the value of f (7, 2, 2).

A: Solution

Q: The graph of f(θ) = A cos θ + B sinθ is a sinusoidal wave for any constants A and B. Confirm this…

A: Given the equation of sinusoidal wave  f(θ)=Acosθ+Bsinθ

Q: Find f, and f, and evaluate each at the given point. f(x, y) ), (2, -2) = arctan f,(x, y) = f,(x, y)…

A:

Q: Find f. f ''(θ) = sin(θ) + cos(θ),    f(0) = 5,    f '(0) = 1

A: given, f ''(θ) = sin(θ) + cos(θ),    f(0) = 5,    f '(0) = 1 to find f.

Q: O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1…

A: To find the derivative of given function.

Q: () -1 -3y If f(x, y) = tan %3D then find fr .

A:

Q: Question B.2 a) Consider the two images shown in Figure 3 with size 8 x 8, with black (intensity…

A: Two Images are:

Q: Question 5 (i) Differentiate f(x) = sin Vx by the first principle

A:

Q: Question:2 Find domain of following functions S(x, y) = In(e*+e") arctan(x+y) а. f(x, y) = b. ( x² –…

A: The function in a will not be defined when x+y=0.  Thus, domain is:

Q: Find f, and f, and evaluate each at the given point. f(x, y) = arctan (4, -4) f,(x, y) = f,(x, y) =…

A:

Q: If (x) = tan(e"), then f"(x)= %3D A. 2e sec (e") B. 8e tan(e") C. 4e sec (e") D. 8e" sec (e*)tan(e")…

A: Given, f(x)=tane2x

Q: Question 6 dy The integrating factor of the linear DE of order one - 2y cot x = sin?x dx - is (A…

A:

Q: Question 2 Consider the function Vx? + X sin? coS X - X f(x)= Vx -1 sin +1 Determine f'(0.25) using…

A:

Q: Find f. f"(θ)  = Sin θ  +Cos θ , f(0)  =3 , f'(0)  =4

A: Given functionf"(θ)  = Sin θ  +Cos θ , f(0)  =3 , f'(0)  =4we have to find , f(θ)

Q: Let y = (sin x + cos x)e, x E (0, 27]. Then the x coordinates of the inflection point(s) of || this…

A:

Q: Question 5 dx - = In[F(x)]+C.What is F(3) if C= 0? For (x+x*) (x Tan-lx +1) 1 A B 3 1 D

A: Integration is the act of bringing together small components into a single systems that functions as…

Q: Question 1 Let X = In(sint), y=1+cost Find dy/dx. -sint cott - cot t sint + csct D cost sect

A: Derivative

Q: Question 2 Consider f(x) = 1/x on (0, 0). Show that for any a e (0, o0), the area of the triangle…

A: 2 Consider              f(x)=1x    on   x∈(0, ∞) For any,  a∈0, ∞ we have to show that the area of…

Q: QUESTION 6 Consider the function f(r, y, z) = 6x² + 4xy+ e4yz af Then is equal to: ду O A. 4x +…

A: we find out partial derivative with respect to y.   see 2nd step.

Q: 2. 4. 1. 3. 4. To find the blue shaded area above, we would calculate: = area %3D xp(x)f a. Where:…

A:

Q: QUESTION 1 Are the functions f(x) = 5, g(x) = cos x, h(x)= sin x linearly independendent or…

A:

Q: Example 1: If 0 is the angle between two regression lines and S.D. of Y is twice the S. D. of X and…

A:

Q: Question 3 Consider f (x,y.z) =xyz 03 solve for dydzdx Note: do not put spaces between variables in…

A:

Q: Question 3 A function is defined by f (x, y, z) = z² – cos(xy) - find the value of f (5, 2, 2).

A:

Q: Find f and fy and evaluate each at the given point. arctan(). f(x, y) = arctan (6, -6) f,(x, y) =…

A:

Q: Question 20 Let f(x) =cos(3x) & g(x) = e . Which of the following is true. (f+ g)(x) = 2 e2x +…

A:

Q: Question 1 Specify and sketch the domain D(f) of the following function sin(x + y) Va2 – y² + 1 f(x,…

A:

Q: Find f, and f,, and evaluate each at the given point. f(x, y) = arctan(), (2, -2) f(x, y) = f,(x, y)…

A:

Q: Question 1 Evaluate the value of the function Y + z? f (x, y, z) = sin(x) at the point (, 3, 2). 6 O…

A: Solution

Q: Question#8: Given F(x) = cos²(x + 9), find functions f,t and h such that F = f •t•h %3D

A:

Q: Question 9 Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0). 4xy…

A:

Q: Find f. f"(8) = sin 0 + cos e, f(0) = 1, f'(0) = 2 f(e) =

A:

Q: Question 2 Consider f(x) = 1/x on (0, 0). Show that for any a E (0, ∞0), the area of the triangle…

A: We have f(x)=y=1x     , x∈(0,∞)dydx=-1x2for a∈(0,∞)x=a, y=1a, dydx=-1a2

Q: The graph of f(0) = A cos 0 + B sin0 is a sinusoidal wave for any constants A and B. Confirm this…

A:

Q: Question 3 dy Given the following function, determine do sec 0 You may use Insert -> Equation to…

A:

Q: Question 1 Differentiate the function F(t) = arcsin(ln(t)) · arctan(3t²) – arccos(/2). You do not…

A:

Q: Find f and f, and evaluate each at the given point. () (4, -4) f(x, y) = arctan %3D f(x, y) = f,x,…

A:

Q: Find f. f"(8) = sin(e) + cos(e), f(0) = 5, f'(0) = 4 f(e) = 5t – sin (t) – cos(t) + 6

A: Here we have f''θ=sinθ+cosθ, f(0)=5, f'(0) = 4 fθ=?

Q: a²f x²-y² дудх x2+y2

A:

Q: Question#2: Find the linearization L(x) of the functions at each point. (i) : (f(x)) = (sqrt(sin x +…

A: We will find out the required linearisation.

Q: Find f. f"(e) = sin(e) + cos(e), f(0) = 5, f(0) = 4

A: f''(θ)=sin(θ)+cos(θ)Integrate with respect to θf'(θ)=∫sin(θ)+cos(θ) dθ f'(θ) =-cos(θ)+sin(θ)+C1Again…

Q: QUESTION 1 Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?…

A:

Q: The graph of f (θ) = Acos θ + B sin θ is a sinusoidal wave for any constants A and B. Confirm this…

A: Sketch the graph when (A,B) = (1,1).

Q: Question 1: Find which function has laplace and which has not? Also explain the reason? e", t' and

A: We have to solve given problem:

Q: Question 7 (Round to 2 decimals if necessary) LetF(x, z) = 3x³ – 2xz + z = 0 and G(x, z) = 2zx² – 2z…

A:

Q: Find f, f '''(x) = cos(x),    f(0) = 8,    f '(0) = 5,    f ''(0) = 4

A:

Q: If f(x, y) = log,(cos (e* ))+ sin(x + y) then f (x, y) is ây ô x %3D

A: To determine ∂∂y∂∂xfx,y if the function is given by, fx,y=logecos2ex2+sinx+y

Q: Find f and f and evaluate each at the given point. f(x, y) = arctan (4, -4) f(x, y) = | 5,(x, y) = |…

A: I have stated the used formulas and method in the solution.