Find the equation of the line tangent to the intersection of the surface z = arctan ry with the plane r = 2, at the point (2, , 7)

Q: Find the Laplace Transform of the following functions: 1. f(t) = -e-3t sin 4t + 3

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Q: f(x) – f(1) - If f(x) = log2(x) , then lim %3D x- 1 (A) m In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PM ...

A: We want to find limit when x approach to 1

Q: Evaluate by changing to spherical coordinates: /2–x²-y² xydzdydx x²+y2

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Q: xy.yı+4x2+y2=0 y(2)=-7 Solve the initial value problem

A: Introduction: A function fx,y is referred to as a homogeneous function if it can be represented as f...

Q: - y = e* + x? y" Find the general solution of the following equations:

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Q: If 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?

A: The exact differential equation is defined as the differential equation of the form Mx,ydx+Nx,ydy=0,...

Q: 6. Write a user-defined MATLAB function that determines the area of a triangle when the lengths of t...

A: Ws will use Matlab command to define this function 

Q: Consider a dynamic system described by the following integro-differential equation 4x+3x+2x+5| x(t)d...

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Q: Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 %3D 1 -...

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Q: a) exists a, c ER such that for every n > 0. |an – al 0 of real numbers such that an → 0 and for eve...

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Q: (5) Consider the following vector field F (1, y, 2) = yz cos (ry) i+ az cos (ry)j+ sin (xy)k (a) Use...

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Q: Evaluate each expression using the values given in the table. - 3 - 2 - 1 - 1 - 4 - 2 - 1 1 2 3 f(x)...

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Q: may only use methods shown in class. 1.) Use the graph of f(x) below to evaluate the following: b.) ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: 1+2 tan () V3 1 dx 2+ sin x arctan V3 + c

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Q: Given: C(h)=5h+0.02 and its table of values: -10 -5 5 10 15 20 25 30 f(x) 49.980 -24.980 0.020 25.02...

A: Any point in the Cartesian coordinate system is represented by the ordered pair: x, y. Start from th...

Q: Jonathon needs at least an 89 on his test to keep his essay in math what inequality matches Jonathon...

A: The inequalities are represented by the symbols: <, >, ≥, ≤, ≠.

Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

A: For a function f(x) , the maximum value of the function occur at a point where the first derivative ...

Q: If f(x) = log2(x) , then lim f(x) – f(1) - x- 1 (A) me (B) In(2) (C) 0 (D) 2 (E) 1 8:23 PM

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Q: find the solutions of the intial given value problem a. 10y'' − y' − 3y = 0, y(0) = 1, y'(0) = 0 ...

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Q: Round 234 to the nearest ten and hundred.

A: The hundreds place, tens place and unit place of a number can be represented as:

Q: Find the roots of æ = 8. Answer: a. 2, 1+ j1.732 and 1- j1.732 b.6, 1 + j6 and 1- j6 c. 2, -1+ j1.73...

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Q: The function is n+1 = 3 + 0.8 (x – 1) (x – 4) - -

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Q: Give some examples of differentiation, linear and non linear in real life situations (preferably in ...

A: Differentiation 1)To calculate the profit and loss in business using graphs. 2)To check the temperat...

Q: 15. Find a polynomial P(x) of degree < 3 for which P(1) = y2 P'(1) = y2 P(0) = y1, P'(0) = y, with y...

A: cubic polynomial is of form y=ax³+bx²+cx+d 

Q: solve this non-homogenous differential equation- y" + 2y' + y = x sinx e^x hint: y=e^mx be the trial...

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Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of de...

Q: x² 1 arctan 16 2(x – 3) + 3 -dx = J (2x² – 6x + 13)² + c 2 x² – 6x + 13

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Q: A car rental company operates two stations, one in City A and one in City B. Every day, 80% of the c...

A: A Stochastic Matrix is a square matrix whose columns are probability vectors. It is a square matrix ...

Q: Let A = C 1. and X be a matrix satisfying: 2XT-A = (X + 2B)". B Then X is equal to the above equal t...

A: The given problem is to find the matrix X which satisfies given matrix equation with given matrices....

Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are ce...

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Q: 6. y = In (e* + e") 7. y = tan e + etanax 8. y = In(x + Vř +1) 9 y = Arctan(;

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Q: Solve the initial value problem y" + 5y/ – 14y = 0, y(0) = a, y'(0) = –28. Find a so that the soluti...

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Q: Identify the feasible region for the following set of constraints: 3x-2y>/=0 2x-y/=0

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Q: 26 4 12 8 18 16 24 (e) it the table could represent a inear function, give a formula for the inear f...

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Q: Find the Laplace transform Long method

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Q: Match the English specification on the left with the representation in propositional logic on the ri...

A: (a) The transaction has a shared lock on the element only if it can read the element but cannot modi...

Q: Review later 7. Given quadrilateral MATH is a rectangle. Find the missing lengths and slopes of the ...

A: Introduction: A rectangle is a quadrilateral. The opposite sides of a rectangle are equal and parall...

Q: Consider the given singular matrix, 8 -6 2 A 7 -4 - 3 If 15 is one of the eigen Value of the matrix ...

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Q: Find the general solution for the following system of differential equations: S a1 = 2x1 – 5x2 x2 = ...

A: Given differential equations are x1' = 2x1 - 5x2     ---(1)x2' = 2x1               ---(2)

Q: 1. Find the lim F(t), where sin(3t – 3) F(t)

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Solve for w where u = (1, 1, –1, 0) and v = (2, 3, 0, –1). 5w = u - 4v W =

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Q: For f(z) = 3e7'the value of log(f(z)) is

A: Given,       f(z)=3eπ6i

Q: Show that the magic gate below is an unitary gate 0 0 1 0 0 1 M V2 0 0 -1 1 —г 0 0

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Q: Let A be the matrir A = For each eigenvalue of A, find an eigenvector.

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Q: A curve is given by the equation y = e, Find the asymptotes (if exist), the intervals of increase/de...

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Q: How many different nonisomorphic skeletons have a graph K6? Draw them

A: The term "nonisomorphic" refers to mathematical objects that are structurally distinct and is used i...

Q: 2. Recursive function Let g : N Z be defined by g(0) = 2 and Sg(n – 1) if n 2 1 and n is odd, | 29(n...

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Q: x V4 – x² + c - dx V4 – x2 2 arcsin 2 8 IN

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Q: 4. Recursively defined sets Give a recursive definition of the set below. The set of positive intege...

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