Identify the surfaces of the following equations by converting them into equations in the Cartesian form.  ρ = sin ϕ sin θ

Q: 4. A group of management students are creating a business plan for their proposed shoe brand Shoelt.…

A: A group of management students are creating a buiseness plan for their proposed shoe brand Shoelt.…

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Q: 4. Find the area of the region bounded by the horizontal strip. y² +1 and the y-axis using

A: Topic = Area

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Q: PLEASE SHOW COMPLETE SOLUTION.   Find the area bounded by y = 1/4 x^4 − x^2 and y = x(x − 2)(x +…

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Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2t sin(3t) - 3te5t…

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A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

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A: Given :y=9-2x0<y<8revolution about y-axis

Q: I can't understand your solution.

A: Let's solve given integral.

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A: To evaluate the given double integral.∫03∫04-3x dx dy

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A: Evaluate the integral

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A: We have to find the integral.

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Q: (sinhz)(coth’z+csch*r)dz

A: Integration is done.

Q: (3) Prove the Generalized Triangle Inequality: if a1, 42, ..., are R then an + Q2 + · · · + @ < 41 +…

A: Given

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A: First we sketch the given region using a graphing calculator as shown below:   The shaded region…

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Q: The curve has an equation of r = 4sin0. Compute the area bounded b the curve. 12.57 11.18 16.89 O

A: Given :r=4sinθ

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Q: Find the area bounded by x = y + 2, x = 1 - y^2, and the lines y = 1 and y = −1. *

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Q: 3. Determine whether the following pairs of functions are linearly dependent or linearly…

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Q: ¹In(1 + x) -dx X

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Q: y s 5 4 -2 -2 The diagram shows the shaded region bounded by the curves y = x² + 2, y = 4 - x, y = x…

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Q: X(jw) = 8.8cos (3w) sin(0.5w)

A: Given function is:X(j,w)=8.8cos(3w)sin(0.5w)we have to find the value of X(3,5).value of…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The equation of the curves are: C1: y = x2 ⇒ x = y                 for first quadrantC2: x = y2 To…

Q: IV. Solve the following problems completely. 3 1. Use local linear approximation to estimate √√(3.…

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Q: Why is it =10πr33? particularly, why is the value 33?

A: Let's solve.

Q: Q1-A/Find the domain of the following functions. 1-f(x) = √(sin(x) - 1) 2-f(x)=-/In(5x-x²/4)

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Q: In spherical coordinates, the integral •√√4-x²-y² IMM x² /4-22 None of these. 2π *π/2 2 S √²* [*¹²*…

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Q: Find the area of the region pictured below that is bounded by the functions f(x) = x² - 7x + 12 and…

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Q: Given the function f(x) √x f(x) = COS 2 1 + √r dr Determine the instantaneous rate of change at x =…

A: Using Leibniz rule of derivative

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Q: Find the area bounded by the curve y = coshx and the x-axis from x = 0 to x = 1. a. 11.75 sq. units…

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Q: II. Evaluate the following integrals. 1 - coth² (log₂x) dx rcosh (log₂x) 1. S

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Q: The integral of 3^4x dx is equal to A^AY Ing+ 0

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Q: DETERMINE THE INSTANTANEOUS RATE OF CHANGE OF THE FUNCTION AT X=1 sin (2³) 1 + √t - f(x) = x3 dt

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Q: I. Evaluate the following limits x-tanx 1. lim x-sinx x-0 9

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: What is the y = x^2 - 4 and x-coordinate of the centroid of the plane region bounded by y = 2x - x^2…

A: Here we have to find the x coordinate of the centroid of the area bounded by the curves.

Q: Answer

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Q: Evaluate ²(2x + 3e* - 1) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE

A: Given problem:-

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A:

Q: . Solve the following problem (a) Y'(t) = XY(t) + 1, (b) Y'(t) = \Y(t)+t, Y(0) = 1. Y(0) = 3.

A: In this question, we will solve the given linear first order differential equations.

Q: T Evaluate sec²20d0 a. 00.33 b. 0.5 c. 0.67 d. 0.25 e. NONE OF THE ABOVE O A OB O O D OE

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Q: Question 2 A piecewise function is defined as f(t) = {2t²-4 3 0 ≤t<5 t25 i. Sketch the graph of…

A: Explanation of the answer is as follows