Find the accumulated amount if AED 6,000 is deposited at 2.5% compounded semi-annually for 5 years. O AED 793.62 O AED 1,500 O AED 7,500 O AED 6,793.62

Q: The study of integrals in calculus is motivated by the problem of calculatin (a) the slope of a…

A: Study of integrals in calculus is motivated by calculating the area of a region bounded by curves.

Q: Find the average value of the function f(x,y)=eˆ(y/x) over the region bounded by y=x, the x-axis and…

A:

Q: i(x) = 2-0.8(x-43.79)

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

Q: Which of the following is an antiderivative of f(x) = sin r cos r? %3D (a) sin? x (b) cos? z sin 2x…

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Q: Calculus Question

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Q: Let f, g: R → R defined by if x 2 1 ) = {2x –1 ifx< 1 f(x) = and g(x) = 3x + 2. a. Find f-1 and g-1.…

A: ( f○g)(x) = f(g(x)) (g○f)(x) = g(f(x))

Q: n What is the closed-form expression for the series 2 (k-2)², k=1 37 A + 6 n³ -n²+ 13 B 6 6

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Q: Write down the first four terms of the sequence given by x, = 3" + 2", starting from n= 0. X1 = X2 =…

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Q: Sing do Coso + Cose-2

A: LetI=∫sinθcos2θ+cosθ-2dθPut cosθ=uDifferentiate on both…

Q: Verify Green's Theorem by evaluating both integrals aN dx + x² dy = / / dA ay y2 ax for the given…

A: To verify green's theorem by evaluating both the integrals.

Q: For a plane curve r(t) = (x(t), y(t)), |æ'(t)y" (t) – x"(t)y' (t)| (x'(t)² + y' (t)²)³/2 - k(t) Use…

A: Here we have to use this equation to compute the curvature at the given point.

Q: (a) / Which of the following integrals is equal to -2+ In 2? X - 4 dx (a) 4- I dx (b) 2 - 4 da (c),…

A: To find which of the given integrals has given value

Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x and the…

A: Solution is given below:

Q: Determine the derivative of f(x) = 2x2 - x3 using the first principles definition of the derivative.…

A: Given f(x)=2x2-x3we know that using first principles f'(x)=limh→0f(x+h)-f(x)hThen…

Q: 2 | (sin³x cos x + sinxcosx)dx 7/2 π

A:

Q: 4z² + 5dz 금(122+5) xo 4a? + 5 Part 2 of 2 ewrite the integrand in terms of u so that the integral…

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Q: 2r³ – 4x² – x – 3 dr x² – 2x – 3

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Q: For the function f(x) = - 2x-3, do the following. (A) Find the average value of f(x) on the interval…

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Q: у" — у' — бу %3D2, у (0) %3D 0, y'(0) = 0

A: Given can be written as (D2-D-6)y=2 The general solution will be y=CF+PI Complementary Factor(CF):…

Q: 21 The function f(x) is represented in the following table. Give the best estimate for f(x)dx 3 9.…

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Q: If y=f(x) = - 3cos+) + 4 then what is the value of / 2 A) 7

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Q: ind [r(t) · u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = ti + 5t2j + t³k, u(t) = tk (a)…

A: Solving

Q: For the given position vectors r(t), compute the (tangent) velocity vector r'(t) for the given value…

A: Find derivative of position vector then we get velocity vector then put the given value

Q: xp-

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Q: n² < 2" for n = 4,5, 6, ... (Hint: 2n + 1 < 2" for n = 3,4, 5, ...)

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r'"(t). 5,3K r(t) = t²i - 4tj + 3. %3D (a) r'(t) (b)…

A: Vector

Q: (-1)"2"x" n=1

A: We will use ratio test to find radius of convergence.

Q: L, f(x)dx + [° f(x)dx = 5. Si f(x)dx – Sº f(x)dx = 4.

A:

Q: Solve for x in the following expression using the quadratic formula. 3x2 + 19x – 4.9 = 0 Use at…

A: We can solve this as follows:

Q: x+x-6 lim X-2 x-2

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

Q: eshows wire 1 in cross section; the wire is long and straight, carries a current of 4.00 mA out of…

A: To find x- component of force on wire 2 due to wire 1.

Q: 2ln|x| + 3 ln|x + 1| – * - + C 5x2+11x+2 dx x(x+1)2 2ln|x| + 3 In|x + 1| ++C 4 2ln|x| + 3 ln|x + 1|…

A: Given: I=∫5x2+11x+2xx+12dx   As we know that; The Power rule; ∫ax+bndx=ax+bn+1an+1+C And…

Q: find (2n +1)! = 120

A: Here we have to find the value of n.  2n+1!=120

Q: 2r-4-x 2-2r 3 in Ir+1+3Inlx-3|+C +1-3hx-31 +C Option 1 Option 2 2 In Ix + 1-31nlx-31+ C 2 In Ix+ 1+3…

A:

Q: Find the general solution of the differential equation. dy = xy + 3x dx

A: To find the general solution of the following differential equation.dydx=xy+3x

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A:

Q: Determine an equation for the tangent to the curve f(x) = 2x3 + 6x2 - 2  at x = -3

A: Given query is to find the equation of the tangent.

Q: Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x)=g(x)…

A: given function : f(x)=log3x and g(x)=2from figure it is clear that intersection of both curve is…

Q: x2 dx (x+2)3 In |x + 2| + 4x+6 4x+6 (ar+2)a +C In |x + 2| – (x+2)= Option 1 Option 2 희im lx + 2 +…

A: Given problem:-

Q: Determine the value(s) of x where the tangent to g(x) = (x + 5)(x2 - 1) is parallel to y = -7x - 8

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Q: Use the linearization L(3,-2) (x, y) of f(x, y) = -x²y-xy² near the point (3, -2) to approximate the…

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Q: nvestigate the convergence of the following series. H.V 2n+5n 2) Σ-1 3n %3D1 1LJ!

A: We have to find out convergence

Q: Utilize the Lagrange multipliers method to maximize the function f(x, y) = 8x + 18y - 10x2 - 4y2…

A: The given function is  f(x, y) = 8x + 18y - 10x2 - 4y2…

Q: Find the indefinite integral and check the result by differentiating. Determine an appropriate…

A: Solve the given intregal

Q: Evaluate lim (x)/

A: We can find the  limit as below.

Q: find Fourier series on [0,2n] 0 0<x<7 (7) f(x) =. 1 T<x<2z

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it converges…

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Q: x2 - 8 R2.1 J x2 + 5x + 6 Answer with text and/or attachments

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Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy – 1)}…

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Q: +2x-15 Inkx + 51 -inlx- 31 +c In]x+51-Inx- 31+C Option 1 Option 2 |(x + 5)°| +C (*+5) +C *-3 Option…

A: