Differentiate the following function. f(x) = x5 e5x f'(x) =

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Q: Solved the following set of equations 16x + 2y 2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

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Q: 17.) Find the derivative using the quotient rule. f(x)

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Q: Use the tabular method and the properties of limit to find the limit lim ex-4 X-4

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Q: Find the derivative of the function. q' = 3/ 7 q=√x + 3x

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Q: Using direct integration, evaluate the following convolution: e-atu(t) * u(t)

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Q: 5. Show the equation sin² x + 2x = 3 3 has exactly one solution. has exactly

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Q: i) S 3+6x+4x² −2x³ (x4+3x²) ·dx

A: The given integral is (3+6x+4x2-2x3)/(x4+3x2).

Q: Problem 1. For every real number a, compute the derivative of y = x4 at x = a as a limit of a…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: The given equation is; [cos(x+y)+cosy-3x2]dx+[cos(x+y)-xsiny+ey(y+1)]dy=0

Q: Solved the following set of equations 16x + 2y 2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

A: Given: 16x+2y-2z=16 2x-14y+4z=-8 4x+2y+18x=4

Q: 3. Calculate the angles that vector H = 3ax + 5ay y-, and z-axes 8az makes with the x-

A: Given Vector -   H = 3ax+5ay-8az since , angle of vector with x-axis =…

Q: Use integration to find the general solution to the differential equation: a) x² + y² + x + 2y = C…

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Q: 2. Match the figures below with the equations: (a) z = sin(x) sin(y) (b) x²-y+2²=0 (c) z = √6x² +…

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Q: Find z¸and zyif z = x² tan¯¹ (²) — y² tan¯ an-¹) y

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Q: A r= 5,0 = = radians 3

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Q: 7 If g(s) = 8√s +- S + 4 VS + 70, compute g'(s).

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Q: 8) If you start with the graph f(x)=√x and move it down 1 and to the left 4 units, give a formula…

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Q: The adul dicts that the adult population of the town will increase by 4% each year, ming a geometric…

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Q: Find the indicated derivative using implicit differentiation. e²t_st = 6; dt " ds

A: Topic- implicit differentiation we are given ,es2t-st=6we know that(uv)'=uv'+vu'(eu)'=euu'where u…

Q: Consider the function (for question G) S(x) ax³ bx³ + k G. What will happen to lim S(x) if a, b, and…

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Q: The graph of f is given. State the numbers at which f is not differentiable. (Enter your answers as…

A: Note:  1. A function is not differentiable at discontinuity. 2.A function is not differentiable at…

Q: Consider f(x)=5x-3-41/x^2 Find the average rate of change of f(x) with respect to x over the…

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Q: Let u, ER" prove that ||ū + ï|| ≤ ||ū|| + ||v||

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Q: A. A. Find if x = 2t4 - 4t² and y = t4 - 4t. dx t²-t+1 2t(t+1) B. t² +t+1 2t(t+1) Find f'(t) if f(t)…

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Q: 8 x²+2 2 √x dx

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Q: Given set A = {1, 2, 3, 4, 5, 6, 7, 8, 9) and set B = {1,4, 9, 16, 25), what is AUB? Review the…

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Q: Find f'(a). f(x)=√1 - 6x

A: f(x) = 1-6x here we have to derivate this function we use chain rule for that  further given in…

Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. A = {1, 8,…

A: Let U be the universal set of natural numbers less than 11.  Consider the following sets. A=1, 8, 4,…

Q: (1.1) Calculate the Laplace transform of the following function from first principles: f(t) = = 3t -…

A: Laplace transform of a function f(t)  using first principles is Fs=Lft=∫0∞e-stf(t)dt

Q: Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it…

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Q: y(x) = C₁ e ² + C₂ e ²*, + 4 SiN X, Y (0) = 1, y' (0) = -1

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Q: What is the general solution of the differential equation below?  dy/dx = y/(x2 + 1)  when y > 0.

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Q: Consider the following graph of y = f(x): s What is the lim fx f(x) x-0 A.0 B. 1 OC. -1 D. 2 E. The…

A: From the graph we can see that as x tends to 0, f(x) tends to 1.

Q: Consider the indefinite integral 2² sin(4x) da. We wish to use integration by parts. To this end,…

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Q: Solve the triangle. Round the answers to the nearest integer. y= b= C= IN M. 0 in in 75% 15 in Y b…

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Q: 51-52 Find an equation of the tangent line to the curve at the given point. 51. y = e* cos x + sin…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Consider the graph below of the function g(x) to evaluate the integrals The graph consists of two…

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Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: Consider the differential equation               M(x,y) dx +N(x,y) dy =0…

Q: Consider the graph below of the function g(x) to evaluate the integrals. The graph consists of two…

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Q: Differentiate. y = log 4 (x+x) -log 4 (x6 + x) dx =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 5. Determine the domain ONLY 4-x g(x) = /4-x

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Q: lim x118 x³ + 8x 2x³ + 5x² - 2x - 2

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Q: 21. f(t) = 4t 10

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Q: = : 0. z = x² + x − 3xy + y³ − 5, find all points(x, y) wherein zxand zy

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Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

A: Given query is to find the domain of the function.

Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

A: see below the answer and calculation

Q: Consider the improper integral [²8 8 + cos(0) 0² Determine if the improper integral converges or…

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Q: When a Rational Function has been simplified and graphed, it shows: 3 Vertical Asymptotes, 2 Points…

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