J sec x dx Vin (secx + tan x)

Q: Convert the following parametric curve into Cartesian form: x=2 sint, y = 3 sin t O 3x² + 2y² = 1 O²…

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

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 12 -…

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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: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: c) A loan of $A is made on 20 April 2015 at a simple interest rate of 6% per annum. The accumulated…

A: Please refer to the image below

Q: Let the vector v have an initial point at (2, −6) and a terminal point at (6, –4). Determine the…

A: To find out the components of vector v.

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: et the vector v have an initial point at (-6, -2) and a terminal point at (-6, 2). etermine the…

A: Finding the vector V

Q: A population of birds on an island is initially 380 birds, and it doubles (or grows by 100%) each…

A: It is given that initial population of birds on an island is 380. Each year population of birds gets…

Q: If 2 = (6,-5) and a = (-2,6), find |2+3.5d |. O 5√11 O √146 O 16 2√73

A: topic- vectors

Q: A. By power series, prove that: d 4 sinhx dx sinhx = coshx

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Q: Evaluate the integral. Please show step by step! S sin x 1-2 sin² x cos²x dx

A: I am attaching image so that you understand each and every step.

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

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Q: Find the exact coordinates of the centroid for the region bounded by the curves y = 4-2² and y = 0.…

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Q: The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. Use Lagrange…

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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: EC) Determine the value of the definite integral -1 ² (4x³ + 5)³dx .

A: The given definite integral,     ∫-10x24x3+53dx

Q: Given cos(8)= - 5 m<8<³ 2 for π<8<- then tan(0) =

A: We can find the answer as below.

Q: 3. State the slope of the tangent to y = ln (2x + 1) at x = 1 a) = b) = - In3 d) In3

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Q: A pole that is 5625 feet long is leaning against a building. The bottom of the pole is moving away…

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Q: Q3. Evaluate the following integrals 1) cothx.csch²x. dx (50-3x - W√x++) de

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Q: Find the tangent line(s) to the parametric curve given by z = t¹ - 9t² and y = t² at (0, 9).

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Q: Evaluate the integral. 1³w² in w² In(w) dw

A: We will solve the integration

Q: Find the general solutions of the system. 200 x' = -5 7 5 x 002 x(t) =

A:

Q: Evaluate the limits 3 01 O lim X-00 3x-2. X

A: To evaluate: limx→∞3x-2x

Q: Identify the theorem: If S is the boundary surface of a solid E in 3-dimensional space, then SS, F.…

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Q: y = x² and x² = y

A:

Q: Given the national income model Y = E; E=C+I where C= 280 +0.6Y, Io = 80: (a) Write down the value…

A: We need to find equilibrium point.

Q: b) Calculate (i) the following integrals x² (3x³ + 2)²dx

A:

Q: Question 1 CD Assume that "Foo is a function defined by Foo = x²-3x+1 288-1 For a ≤x≤3 Prove that…

A: Given: fx = x2-3x+12x-1---------------------------------To prove: Fx is bounded for 2≤x≤3.…

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnon n=0 Find the…

A:

Q: min

A: Please refer to the image below

Q: Vector A) Prove that: V × (F×G) = (GV)F- (FV)G+ F(VG) - G(V-F). m) Find all of the second…

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Q: Find the derivative of_h(x)= (3x+4)³ (-3x-2)

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the quotient rule…

Q: Find parametric equations for the tangent line to the curve given by x=ln(t+1), y=tcos2t, z=et at…

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Q: Suppose that f(x, y) = y√√³+1 on the domain D = {(1, y) | 0 ≤ y ≤z≤ 4}. Q Then the double integral…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

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Q: cost, y = sint, at the point where t 0 ≤t≤ 2π -O?! =

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Q: • Jeze 39. et dt e²t + 3e¹ + 2

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Q: y = x² and x² = y

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Q: Shaw that is the function defined by xy f(x, y) = √x² + y² if O differentiable at not derivatives.…

A: Here in this question, we need to prove that the given function is not differentiable at the origin…

Q: Determine whether the function is a probability density function over the given interval. 35)…

A:

Q: 1 2. Determine the numbers at which the vector-valued function R(t) = t²i+ ln (t-1)j + 1 ) ³ + + = =…

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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: 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: 3.4, 4.1) 1. Let f(x)=x²+2x+10. (a) Find the average rate of change of f with respect to x on the…

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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: Evaluate the following integrals I 1. x² - x 1+3x²2x³ dx J₁ 2. /1+2 I dx 1 + 2 sin r ²+2 3. da x + 1…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…