Use the step function to calculate the transforms of the functions below. Evaluate at the specified point: 5. S=3 6. S=-2

Q: Differentiate the following function. r(t) = (e'.4 e ,-9e 3") (1e 6- r'(1)=

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Q: Plot the following functions 1. v y = -x|x|

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Q: Given y = 5V+ 3+7, describe the transformations that have occurred to the parent function y = Vz.…

A: Given  The parent function   y =x   By describing the transformation we have to make the function…

Q: Consider the following function: f(x, y) = – 1Oxe-3y Step 3 of 3: Find fry.

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Q: consider the function y=−3sin(4x−π/2)+1  d) Describe the vertical translation. e) Graph the…

A: The general form of the sine function is: y=AsinBx-h+k where,  A=Amplitude 2πB=Period h is the…

Q: Exs- Find and sketch the signal Corresponding to the z-tranoform function لن T+37722=2

A: Break the given z transform into partial fractions and bring the terms into recognizable forms of…

Q: Differentiate the followings. (x+ (i) y =

A: If given an expression of a function which is a multiplication of two separate functions. In order…

Q: Find the first and second derivatives of the function:r = (0–1)(0²+0+1) 03 Hint: you may want to…

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Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: Find the linear approximation of the function f(x) = √1-x at a = 0 and use it to approximate the…

A: The linear approximation of the function y=1-x=fx at a=0 is given by y=f0+xf'0. First to find f'(x),…

Q: Find the values at which the transition points occur, if any, of the function. - 2x + 8 1 f(x) -…

A: Find transition point

Q: Let y = 2 a. Find the change in

A: Given  y=2x

Q: Calculate L6 for f(x) = v6x + I over [1,3]. %3D (Give your answer to three decimal places.) L6 =

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Q: dA Find the general form of the function that satisfies = - 7A. dt A(t) =| %3D

A: Given query is to find the general solution of the differential equation.

Q: Find the Taylor the function at point a f(x) = In x, a=1

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Q: Differentiate the function f(t) = yt (a + bt).

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Q: Hwe Find dw and dw for the following functions

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Q: 4. h(w) = ew*-3w²+9 5. g(x)= In(x-4+x*)

A: Using this formula we shall solve the problem

Q: Consider the function y=f(x). Show the results of each transformation in the order given and finish…

A: To show- the result of each transformation

Q: Explain how the following functions can be obtained from y = by basic transformations. Complete…

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Q: Find the z values where the slope of the function shown below is positive.

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Q: Find all the points at which the direction of fastest change of the function f(x, y) = x2 + y2 - 8x…

A: Given,

Q: Find the composition of the function. 1 s(2) = and Find g(f(x)). ww. 16

A: The given functions,      fx=1x2 and gx=1x4

Q: The complementary function (C.F) for the (D² + 8²)y = 0 is O None O Yc = C,cos8x + C2sin16x O Yc =…

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Q: find and sketch the domain for each function ƒ(x, y) = ln (xy + x - y - 1)

A: Given- fx,y=lnxy+x-y-1 To find- The domain and sketch the graph of above function. Concept Used- We…

Q: Find T3(x) and R3(x) for the function expanded about x0. (a) f(x) = sin(x); x0 = 0.

A: The function is f(x)=sin(x); x0=0 The Taylor polynomial T3(x)  is T3(x)…

Q: The vertical shift of the function is y = -cos(÷ + -4 is 4 units downward. O True False

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Q: use THE INVERSE FUNCTION RULE TO FIND 1. FOR FACH or THE Fou OWING : (dY 本 y

A: Here we have to find out dy/dx.

Q: If p(t) is the profit I expect my business to earn t years after opening, use functional notation to…

A: Given pt:profit earned after t years .

Q: Use the chain rule to find the derivative of f(æ) = 3e10a° + 9x° f' (æ) Add Work Check Answer

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Q: Consider the functions given with t the time in hours: fi(t) = 10(0.75)' f2(1) = 20e0.04I f3(t) =…

A: Given, Exponential decay:ae-bt, where b>0 Exponential growth:aebt, where b>0 Here b represent…

Q: Q1 (a) Using the second shift theorem, find L-1 se s² +91

A: Aaaà

Q: V Determine whether the following functions are harmonic or not. 1. 3xy+ 5xy2- 2y3 2. 3xy+ 2x-…

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Q: Consider the following function: f(x, y) = – 3e4x–2y %3D Step 2 of 2: Find fy.

A: Given function, f(x, y)=-3e4x-2y

Q: 1 4 3. るりF Ssin

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Q: Q:A- Find for the following functions: - 1+x* 1- 1+secy

A: Given: xy21+secy=1+x4 For finding dydx, we simplify given expression then differentiate it

Q: Start with the function y=r and apply the following five transformations: a) Shift Left by 8 units…

A: The function transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts…

Q: Differentiate the following function. r(t) = (e',7e -1, -9e4) r'(1) = (OOD

A: Derivative

Q: 9x + 2y ah ah For the function h(x,y) find and ху— 10 ду ah ah ду

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Q: The residue of the function (z+i)3 sinz is (iii)

A: a) The objective is to find the residue of the function sinzz+i3  b) The objective is to find the…

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given g(t)=lnt(t2+1)42t-15

Q: c) k(r) = e* + re %3D

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Q: Find the composite function N(T(t)): N(T(t)) = 2/25(2475t^2+5640t+2729) Find the time when the…

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Q: B2. Write the following beam deflection for a beam of length L = 4 m as a piecewise function y = 2x…

A: The unit function Hx-a is defined as :Hx-a=0   for x<a1   for x≥aHx-3=0  for x<31  for x≥3

Q: 3x +2y find 6xy- 7 ah and ду For the function h(x,y)= ah ду

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Q: Differentiate the following function. r(t) = (4t %3D

A: We have to find out derivative of given functions

Q: Find the harmonic conjugate of the function ufx,y)= eSin(y)

A: A multivariable function ux,y is a rule used to fix or associate a number to a particular point x,y.…

Q: Find the derivative of the function. (7t-3)7 r(t) = 87 +5 %3D

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