If A is the matrix below compute A4. Be sure to use trigonometric identities to simplify so that the entries are just single cosine and sines of functions of like cos 30 [cos Lsin 0 -sin 07 cos Ꮎ [0]

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: 29. Σ n=1 n In2 + 4η + 1

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Q: Find the general solution of each of the following. rdp-(p+√pr)dr=0

A: Our Aim is to find the general solution of the following given below:-rdp-p+prdr=0 -(i)

Q: -5 -4 -3 -2 -1 5 4 3 -4 2- 0 --10 -2- -3- -57 1 2 3 4 5

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

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Q: -23+-13

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Q: Given the equation of parabola y² + 4x - 2y - 11 = 0, find the following: A. Standard form / Vertex…

A: Solution is here

Q: (a) If f(x) = (x³ − 7x + 11)(x² + 6), compute f'(1). f'(1) (b) If g(x) = = x³ - 7x + 11, compute g…

A: See this solution in below.

Q: Determine algebraically whether the function is even, odd, or neither even nor odd f(x) = - 0.72x^2…

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Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√√3i)

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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: 3)Find a function whose graph is a parabola with vertex (3, 1) and that passes through the point…

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Q: Evaluate dv = dx). [tan=¹(a)dr. (Hint. Use integration by parts let u = tan ¹(x) and

A: We have to evaluate the integral.

Q: 1) Eliminate the constants from the following equations: y = x² + C₁e²x + С₂e³x y' = 2x + 2C₁e²x…

A: NOTE: As per our guidelines, I have solved the first problem. If you want solutions of rest, kindly…

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: A firm produces a good from two raw materials X and Y which can be bought at unit prices of pX and…

A: We need to find x and y.

Q: 10. Solve uxx + Uxt-20utt = 0, u(x, 0) = (x), u₁(x, 0) = (x).

A: Factor the operator as we did for the wave equation

Q: Use the Chain Rule to find dz/dt. z = xy² - x²y, x=t² + 1, y = t²2² - 1

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Q: Use traces to sketch the surface. x = y² + 7z² Identify the surface. O hyperboloid of two sheets…

A: We have to find the skatch of the surface  X = y^2 +7z^2

Q: Suppose that f is continuous on [0, 6] and that the only solutions of the equation f(x) = 3 are x =…

A: f is continuous on [0,6] and that the only solution of the equation f(x)=3 are x=1 and x=5.If f(4)=5…

Q: 1. Find the solution of the IVP ty' = y +t³ sin(2t) – t³, y(t) = 3/t¹.

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

A: We have to find the domain of g(x)=4-x4-x Remember Domain of f(x) is defined when f(x)≥0 and domain…

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: (a) 3f(x) Derivative of given combination  3f'(x) at x=2 3f'(2) = 3*17=37

Q: the limit is positive or negative infinity. If the limit does not exist as a finite number or as…

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Q: 4.3 Stretching (a) Let f(x) = r². How do the values of f(0) and 2f (0) differ? (b) Let f(x) = 1².…

A: Solution

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 two sets. A = {6,…

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

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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: F(x)=7x1-9 and a.) f(q (1)) b. g (F(1)) c. f(g(x)) D. g (f(x)) e f ( t) g (t) g(x) = 7 (MJ.

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Q: Find fogo h. Chec fogoh = f(x) = 9x - 2 g(x) = sin x h(x) = x²

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: F Amplitude: Period: 856 Based on the graph above, determine the amplitude, midline, and period of…

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Q: angle between 0∘0∘ and 360∘360∘ that is coterminal with the 1950∘1950∘ angle is what degrees.

A: Topic:- trigonometry

Q: 5.) Find the limit. When necessary, state that the limit does not exist. 2x2-x-21 lim, 7

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Q: 15-16 Find the domain of each function. 1 - et² 15. (a) f(x) (b) f(x

A: Please refer to the image below

Q: (2) Σ 2n+. νη +1 (b) Σ 2m +3m n! n=0 (0) Σ(-1)*+1 In n

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Q: 4. Determine the domain ONLY of f(x) = 4-x x²_9

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Q: Find f'(a). f'(a) = f(t) = 8t + 44 t + 7

A: Given query is to find the derivative of the expression.

Q: Describe the surface. x² + z² = 7 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

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Q: Given f(x, y, z) = x²y³z - 3xy²z³ + 5x²z - y³z, find fxyz

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Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

A: Here is the solution:

Q: Find the following limits: 1 1 a. lim S+x 5 x-0 x b. x²+1 lim x-1- |x-1| C. -2x lim x++∞ √9x²-3

A: Topic = Limits

Q: Find the 4th root of z = 3-4i

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Q: x-3 lim x→3+ √x²-9

A: it is a problem of right hand limit

Q: below. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit doe

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Q: 23 Using the Table method, find the limit. Make sure you show all steps 4x +9 x+2 lim, g(x)

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Q: Find A n B. (Enter your answer in roster notation. Enter EMPTY or Ø for the empty set.) A = {b, j,…

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Q: B SOLUE 1. CIRCLE FOR WITH THE DIFFERENTIAL FIXED RADIUS EQUATION OF TANGEANT THE GIVEN FAMILY OF TO…

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Q: (a) Show that y = e(c₁ cos x + c₂ sin ) is a general solution of y" + 2y' + 2y = 0. (b) Deter- mine…

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