15. Sketch the function g(x) = -3 cos 2 (x -) +1 on the grid below: [4] y ok Air

Q: 3. Find , 9 for the functions: ax' ây sin(x³ + y* ) x* +y , (x,y) = (0,0) f (x.y) = .(x.y) = (0,0)

A: f(x,y)=sinx3+y3x2+y2, x,y≠(0,0)0, (x,y)=(0,0)

Q: Evaluate f sin(5/z) -dr Select one: a. 금cos(5/z) + C b. 5 cos(5/a) + C – cos(5/x) + C C. d. cos(5/2)…

A:

Q: Find the domain of the following function. f(x,y) = cos X-2 .y + 1

A:

Q: Q1/: a: Using the relation showthat Jv2 (x) =, cos x

A: See the attachment

Q: f(t) = u(t)+ (sint- 1) u(t- -))-(sint + 1). 미t +u(t – 27) %3D

A:

Q: 5. Evaluate: 34 l vo dx dx. √9-16x2 0

A: To find the value of given integral.

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 27. 3 -1 -2

A: Find your answer below

Q: 4 (t) = -5 sin t + 8sec?t – 8 csct cot t + 4et + - 1+

A:

Q: 2. (a) Show that if f analytic in a domain D, then it is independent of Z. (b) Solve the equation:…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given function is : fx=x+8 cosx

Q: n/2 1+2cos x Q:Evaluate: dx. (2+cos x)*

A:

Q: √√3 tan-¹x 4. (10 points) Evaluate SY 1+x2 dx (using substitution).

A: The value of the integral is 7 pi^2 / 288.

Q: Q3) Find the approximate root of the following equation f (x)= cos x – x e* = 0 , on the interval…

A: The given equation fx=cosx - xex=0 on the interval 0.25,0.75 Use the bisection method…

Q: Show that if L{f(t)} = F(s) then L{etf(t)} = F(s - k) where k is a constant. Hence find: (a) Leat…

A:

Q: Match each of graphs (A) and (B) in Figure with one of the following functions: (i) f(x, y) = (cos…

A: Given: i) fx,y=cosxcosyii) gx,y=cosx2+y2

Q: Q# (13 Rewrite: cos (x)sin(x)dx A) ſ u'du 1/2 B) Tu°du V312 C) [ -u°du 1 V3/2 D) [ u°du 1 V3/2 E)…

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Q: ifferentate: f(x) = COSX 1+sin x Apply the quotient ru

A: Topic:- application of derivatives

Q: Let f(x) = arctan + arccos (sin x), find and simplify.

A: Given function: We have to find  and simplify.

Q: Find the -of the following function : ду w = cos (x2 + 2 y) – e4x- z*y + y3 .A a w = 2 sin ( x2 + 2…

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Q: Choose the correct answer for the following function: f(x, y) = cos(2x²y³) Select one: None of the…

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Q: Drive the following function for :(y) 3(sin(2xy))²

A: We have to find the derivative .

Q: a) f(x) = 1+ Sinx b) f(x) = x² + 2x- 1 c) f(x) = 2* + 2 for all x eR for all x eR for all x eR

A: Given function are: [1] f(x) = 1 + Sinx   for all x ∈R [2] f(x) = x2 + 2x - 1  for all x ∈R [3] f(x)…

Q: Find the analystic function f(z)u+iv if u=a(1+cos0)

A:

Q: 3. Determine the exact value of f"(0) for f(x) = (cos5x + 5x²)*.

A: Given

Q: Q11] Using the properties of the FT, calculate the FT of the following functions: (a) x¡(1) = 5 +3…

A:

Q: e)f[cot2x√sin2x + cos2x]dx

A:

Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + cosx c) f(x) = d) f(x) = (5 – x²)· e*

A: Suppose f and g are differentiable function .Then note the following results : The power rule of…

Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

A:

Q: Prove that the function f(z) = sin(x)cosh(y) + i cos(x)sinh(y) is entire.

A: