1) dx x²+3x-4

Q: The sum of two integers is 12. If the sum of 4 times the square of the smaller integer and 8 times…

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Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A: We have to find solutions

Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n)

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Q: 4x* dx

A: We need to solve the following. So,            ∫-224x4dx=4·∫-22x4dx=4x55-22=4·645=2565

Q: If f(x) cos-¹(2x+5), then dom(f) = = x+3 (A) (-3,-2) (B) [-3, -2] C)(-3,-21

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Q: 15. Use the results of problems 12,13 and 14 and assume that the Maclaurin Series expansion for ex…

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Q: that equals 1 2 3 -5 49 2 7 6.

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Q: Given the complex numbers z = 2 + j3,zz = -1 - j2,andzg=4+j4 find; Im (高)x+x@zs)+Im(zz+z) (元)

A: solution

Q: The angle between the vectors [√2 – 1, √2 + 1, √2] and [1, 1, 1] is: 45° 60° 90° 30°

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Q: y = In(x-2) ex+1

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Q: QY/ Find the direction devivative of f(x,y) = x₁² + yet at the paint (2,1), by the dirction of V =…

A: We have to find the directional derivative.   According to our guidelines we can solve only one…

Q: Use the given graph of f(x)=√x to find a number & such that if x-4<8 then √x-2<0.4 2.4 -√x 2 1.6 ? 4…

A: We have to find the number δ.

Q: Let a, be such that asb. Prove that tx Eqt ax cbx

A: Concept: We have a,b∈Q means that a, and b belongs to the rational numbers and a&lt;b means that a…

Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

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Q: The table below shows values for four differentiable functions. Suppose we know the following…

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Q: 6. f(x-1) dx/(x+1)

A: **As per our guidelines, we are supposed to answer only one question at a time. So, we will solve…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: of the given conditions. lim f(x) = ∞, Sketch the graph of an example of a function f that satisfies…

A: Topic:- limits

Q: z, 1 + 9 + 25 + 49 +81 + ... + /2/

A: Topic = Algebra

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: x³-y³ Determine whether the function z = g(x, y) = x² + y² (why or why not) for for (x, y) = (0,0)…

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Q: 3. A farmer has 6000 m of fencing and wishes to create a rectangular field subdivided into four…

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Q: axb=2x2 X X What can you say about band ? a) Their magnitudes must be equal Ob) Their directions and…

A: Given.

Q: Determine dx for each of the following functions. Do not simplify the dy expressions after applying…

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Q: if X(z) is the z-transform then what is the z-transform of x(n) of x(n- ?6)

A: In this question, we need to find the z transform of x(n-6).

Q: find dy/dx y = cos(etan 3x)

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Q: Find the limit or show that it does not exist. lim x - √x 818

A: follow next step

Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

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Q: Find all the second partial derivatives. f(x, y) = sin²(mx + ny)

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Q: 1. dx/(x - 1)³ 2. (1-x²)² dx 3. f (x² - 1) x dx

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Q: Which of the following statements is true? All functions that are continuous everywhere are…

A: This question is related to Functions, we will solve it using given information.

Q: 2. The 2 vectors 4â + 3b and â - 2b are perpendicular. Find the angle between â and b if they are…

A: Given :two vectors :4a^+3b^a^-2b^they are perpendicular

Q: Jiven the differential equation statement. || ;;y(1) = π. Choose the correc dx 2y+cos y A. Solution…

A: We have to find the solution

Q: Convert the following iterated integrals (SET UP ONLY): x² a.) [f dA from Cartesian coordinates to…

A: The simple change polar coordinate...

Q: Find an equation of the line tangent to the curve tan¹(y) = (x+y)e at the point (0,0). tan ¹(xy) =…

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Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

Q: The profit function of Company ABC for a specific product is given by y = x² - 6x² + 9x and 0≤x≤ 2.…

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Q: Determine if the improper integral is convergent or divergent?

A: The given integral:∫e∞1xln7x dxWe need to check whether the improper integral converges or not.

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

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Q: y= 3x + 2 √2x³-1

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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Q: nverse for the following functions. If it does not exist, show why. f(x)=2x-1 f(x)=√x-3 f(x) = |x-1|…

A: Topic:- calculus

Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

A: Topic:- trigonometry

Q: If X(z) is the z-transform of the signal x(n), then what is the z- ?transform of the signal x(-n) x…

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Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: Q1) L-1 s(s a) cosht -1 b) 1-cosht c) (cosh2t - 1) d) (1 - cosh2t)

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Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

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Q: Find the final value of the system corresponding to

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