Obtain a + ib form of the ff: -i77 a. z = −6+9e

Q: Find the general antiderivative of f (x) = 4 x ln x²

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Q: Calculate

A: Please refer to the image below

Q: Evaluate the following integrals: 1. f (cosx- sin x) dx 2. fcot²x dx 3. f (sin x + x) dx

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Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²+2c₂e³x Oy=e+c₁e³x +…

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Q: If y(v) = 10 COS 79 72 dr then

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Q: Differentiate and simplify this function h (z) = (ez - 1)1/2

A: Given function is: h (z) = (ez - 1)1/2

Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: Let f(x)=x3−3x2−9x+25. Use the derivative f′(x)=3x2−6x−9 to determine the following values for f on…

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Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

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Q: J sec x dx Vin (secx + tan x)

A: As per the instruction, we will be answering the first question. For (4),      ∫secxlnsecx+tanxdxLet…

Q: Find ď²y dx² x = 3 sin t in the parametric equation y = 3 cost 0≤t≤ 2π.

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Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…

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Q: Use the binomial theorem to expand the binomial. (5x+2)4

A: Please refer to the image below

Q: 6 300 m 10. Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at…

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Q: Find the average value of: f(x) = 9 sin x + 8 cos a on the interval [0, 8π/6] Average value=

A: The average value of fx=9sinx+8cosx on the interval 0,8π6

Q: (a) Assume that f(x) is a function defined by f(x) = x²-3x+1 2x - 1 for 2 ≤ x ≤ 3. Prove that f(x)…

A: Given.

Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

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Q: Consider the function. f(x) = Identify the domain off. (Give your answer as an interval in the form…

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Q: y"-y-4e-x+3e2x; y(0) - 0.y(0) --1.y"(0)-2

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Q: 2. Evaluate x sin ædr using integration by parts.

A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: Evaluate the following integrals: dx dx ·S b. S √81+16x² √16x²-9 a. dx 49-4x² c. S.

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Q: Given plane z: 3x+2y+z-3=0, point P(1, -2, 3), and lines 1₁:an 4₂: (3, 6,-5)+(2, 3, 1), find: d) the…

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Q: [*³- x³ − 2x² – 3x x + 2 dx

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Q: Given the function f(x) graphed above, find f^-1 (5)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…

Q: 144° expressed in radians is _____.

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Q: TOOTOT E) Evaluate the triple integral on the left in each of the following: (a) fffdz dx dy = 1 (b)…

A: Given problem:-

Q: Find the average value of f(x) cos¹ sin x on the interval [0, 3]. = Answer: 3-cos(1)/5

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Q: 1000 1+9e-t The number of minnows in a back yard pond is modelled by the equation P(t) = Where is…

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Q: Sketch a graph of a polynomial function that meets all of the following conditions: 3 is a zero of…

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Q: 9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give…

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Q: Numerical Integration: 1 So Fede dx 1. 0 2. 2 (2x² – 3x) dx -

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Q: Use the following information to answer the next question the graph shown below is obtained by…

A: Please refer to the image below

Q: dig given B) IS differentiat -0.47 Let Alt) = 10e (in milligrams) at time + where t is hours 3 after…

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Q: Let C be any curve from (0, 0, 0) to (4, 7, 2) and define a vector field F(x, y, z) = (y cos xy, x…

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Q: 6) Find dy , where is defined as a function of implicitly by the equation below. dx y + 2x²y³ = 1

A: Given function, y3+2x2y5=1

Q: 6. a) x = -6 b) x = 1 c) x = = /² Determine the derivative of the curve with equation y = 4²x a) 4²x…

A: Given query is to find the derivative.

Q: Calculate the area contained between the curve y = cos x, π<x< , and the line y =

A: Given:-y=cosx, -π&lt;x&lt;πy=1/2

Q: 3 ven sin(0) = for <<m << then cos(

A: Topic:- trigonometry

Q: Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. lim f(x)g(x) lim (2f(x) + 3g(x)) lim…

A: Given limx→-4f(x) = 3 and g(x) = 1.

Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

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Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

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Q: Evaluate the following limits: 2. lim G(x) if G(x) = = x →-00 x+61 x+6 2

A: We have to find the limit

Q: Question 13 d²2 Which of the following satisfies the differential equation dx² A. y = e³x B.y = e-3x…

A: We need to choose correct option.

Q: Solve the problem. The velocity of water ft/s at the point of discharge is given by v- 12.80/P,…

A: Given; v=12.8√p, pressure=20.00 lb/in^2

Q: Differentiate and simplify this function k (t) = e√t^2+t+1 - e-√t^2+t+1

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Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: (b) Show that the function defined by √₂²+y f(x, y) = 0 if (x, y) = (0,0) is not differentiable at…

A: On solving this we will get

Q: Solve the equation using Exponential Shift (D² - 2D + 2) y = 12x³e²x O y = e (c! COSx + c2 sinx) +…

A: Answer is given.