Q2 Express the function r 4 cot 0 csc 0 by cartesian form

Q: (a) Find the domain and range of the following functions: (i) f(x,y) = e*+ sin(x² +y²) (ii) 1 f(x,…

A: A scalar function is a rule that is used to associate a number, or quantity with a particular point…

Q: Find f to fixx)=1+3Vx f(9)%3D67 F(x)= fC End f kac lor the c onstant oh the first

A: Integration is the continuous addition of small parts to get the whole curve. Some common…

Q: tan-(t)+2t2 t >0 t f(t) = t = 0 a ebtan-(t) t <0

A: Topic : calculus

Q: a) Give the values: 11 |y=f(x): | 150 | 392 | 1452 | 2366 | 5202 Evaluate f(g) using Lagrange's…

A: Given data: x0=5, y0=150x1=7, y1=392x2=11, y2=1452x3=13, y3=2366x4=17, y4=5202 By Lagrange's…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let y = 4x 5r- 160 sin IE 0, 27. Then the z coordinates of the Inflection point(s) of this function…

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Q: Consider the function f(x) = x² – 6. (a) Find the zeros of f. (b) Considering o = 3, use Newton's…

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

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Q: Express the function in the form  f ° g

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Q: Find F'(8) and F''(8).

A: We need to use second fundamental theorem of calculus with f(t)= sqrt(t^2+17) and a=8

Q: Find the interval on which the curve 1 dt 3 +t + 212 y = 1 is concave upward. Note: When using…

A: We will use fundamental theorem of calculus for first order derivative. Then to find interval of…

Q: Find the interval on which the curve 1 dt 3 +t+ 412 y = is concave upward. Note: When using interval…

A: We can use fundamental theorem of calculus and application of derivative.

Q: Q1) fnd the curl of the following function i+ (22+ 212)f + (32°t Q2) Frnd diver gonce of the…

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Q: f(0) = sec0 is one-to-one on the interval [O,π] with π/2 removed.

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Q: Q Find for the following functions: - 1- y = 3tan³ xcos (r³+1) Vx cos (r³+1) 2- y = 7

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Q: 2. Check the following function f(z) = iz – 3z is analytic or not (Use C.R equations). 3. Compute :…

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Q: Ex:- f: [2₂2] →IR xzo f(x) = { } 2 Show that fERE 2, 2] and find S²fdx

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Q: Specify and sketch the domain D(f) of the following function sin(x + y) Va2 – y? + 1 f(x, y, z) =

A: Given function fx,y=sinx+yx2-y2+1 As per our guidelines we supposed to answer only first question ,…

Q: 4a. Use the First Fundamental Theorem of Calculus to find F'(x) F (x) = t?(4t3 – 5)dt

A: Given: Fx=∫0xt24t3-5dt To find: F'x Solution: The first fundamental theorem of calculus states that:…

Q: 22. The period of the function f(x) = 105 sin(210x + 420) is %3D A. 105 В. 210 C. 420 O D. 105

A: Given: A function fx=105 sin210x+420 In the given function fx=105 sin210x+420, the coefficient of x…

Q: QLi) Find antideriva tive Fa) of the function, an fx) = 5sinx 8+ cosX such that Flo) = I

A: Given,

Q: (In3+j5)5 sech(5.5430°) tanh j 4 V[ej – j213 ji]4 Evaluate the function above. Key in your answer in…

A: Given tanhjπ4ej-j213jj4ln3+j55sech(5.5∠30°)

Q: ezy + sin ry is D= {(r, y)| z² – y² < 1}. y? The domain of the function f(x, y) Select one: O True O…

A: Statement is false.

Q: Use the figures to evaluate the function if f(x) = cos x. Ay (x,1) f (α-β) x? + y² = 4| x² + y² = 1…

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Q: Q2 : Express the function r = cot 0 * csc 0 by cartesian form

A: Here we have given a function in the polar form and we have to convert it into the Cartesian form.…

Q: Let Pbe the circular function that sends a real number t to the point (cost, sin t). Which of the…

A: Follow the procedure given below.

Q: 4. Use the fplot command to plot the function f(t) lcos(3x)+ sin (4x) in the domain -25 x S2. %3D

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Q: O Find the coordinate of the point under the root function y=Jx en the interval (o,3) into equal…

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: Harmonic conjugate of the function so that function is analytic

Q: Q2.a- Find the domain only for function: x2-1 y = x+2 b- show that: sec(270 + 0). csc(180 - 0).…

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Q: EX: using the relation I= Vn show that J1(x) = 2 sin x

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Q: Given the function ( 12? – 1 a < 1 la? f(x) = 1 2? – 1 z21 - Calculate the following values: f( – 2)…

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Q: Find the roots of the function f(r) = (2" – 1) (r + 2r - 3) with z €R.

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Q: Let F(x)= f, cos(nt²) dt. What is %3D the value of F'(2)? (А) — 4л (B) –1 (C) 0 (D) 1 (E) 47

A: Use fundamental theorem of calculus

Q: Convert the formula f(t) = 187e¯0.1t to the form f(t) = ab’. Write your answer using function…

A: I am attaching image so that you understand each and every step.

Q: T Sketch the midline and the graph of the function f(x) = - 1 – 3 cos ( x 4 -/4 37/4 5T/4 3/2 7/4…

A: The parent graph for the  given function is -cos x. The curve for the function is similar to the…

Q: Find y for each of the following: 1- f(y)= sec(5t ) %3D 2- y=7sin x %3D

A: This question is related to derivative.

Q: Find the tangent of ZD. D 2/23 3-1T E Write your answer in simplified, rationalized form. Do not…

A: We know that  Tan(theta)=opposite side/adjacent side

Q: 1. S(x) = . find the domain only.

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Q: Find the value of (f o g)' at x = 1. TU f(u) = cot u= g(x) = 3/x (fo g)'(1) =D

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Q: The function ƒ satisfies the equation. Find ƒ and check your answer by substitution.

A: We have to find function f and we have to check the solution by substitution: 3x4-48=∫2xft dt We can…

Q: 2. sin 10x , sin 20x , sin 30x

A: Since you don't mention that for which value of x, we have to check wronskian. So, I explain for all…

Q: Consider the function f(x) = r² – 6. (a) Find the zeros of f. (b) Considering xo = 3, use Newton's…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Q2 Find the harmonic conjugate of the function u(x,y)= e" Sin(y)

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Q: ii) nd the all the vertical 1- f(x) = cot x , 2 fC

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Q: Determine the constant K so that the function f(x, y) = xy sin(x+ fxy-4 fxx - 4fy = f Select one:

A: Introduction: Partial derivatives are derivatives of a function of multiple variables in which all…

Q: find Laploce trans form of function f (t) =t et (Sinh 3t - 7t )

A: Given below the answer in detail

Q: If f"(x) = 6x + 5,J0) = 1,(1) = 3, find (x). %3D %3D %3D

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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