Evaluate the integral: r+∞ 1 dv v²+2v-3

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (√6x +30) = 0…

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Q: The profit P for a company is P = 100xe-x/650,where x is sales. Approximate, using differentials,…

A: Calculate the profit at these two points then do the further process.

Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

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Q: A company is planning to purchase a machine that will cost $42,000 with a six-year life and no…

A: Here, note that, annual Cash flows = Net income + Depreciation…

Q: Set up an iterated double integral equal to the mass of the lamina 4, outside the = 1, and above the…

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Q: 11 7 Find Y 12 2r₁²³² + y² = 4 2

A: here is the solution

Q: ГО Г0 1 3 2 -а 1 2 123 b 1 3 1 0 1 0 0 3. C Ld. 324 [5]

A: 0132212313101003abcd = 3245 from this find a,b,c,d using gauss elimination method using this method…

Q: (i) Find all first and second order partial derivatives of f(x, y) = x²y + cos(xy) (ii) Find lim xy²…

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Q: A box without a lid is required to have volume, V = 32000 cm^3. Minimize the amount of cardboard…

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Q: Determine whether the series Σ converges or diverges using the Integral Test. +∞0 n=1 ν √n η

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Q: Find the cosine of the angle between the vectors a = 2i +3j - 4k and b = 5i-1j+ 1k. (You should…

A: Find the cosine of angle between two vectors

Q: III. Solve each of the following: 3. (x - y - 2)dx + (3x + y − 10) dx = 0

A: Solution is given below:

Q: Use logarithmic differentiation to find dy/dx. dx = y = x²16 x² + 16 Need Help? Read It X > 4 Watch…

A: Solve the following

Q: (b) xy' = 2y + x³ cos x x 500 ₂x = L = ² - ₁ k P(x) = -2/² Q(x) = x² cost dix) = -Sdx e ^4 = = = = =…

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Q: A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $175…

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Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: A plane flies horizontally at an altitude of 6km and passes directly over a tracking teles cope on…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: Given:    f''(x) = 4    f'(2) = 11    f(2) = 16

Q: Shown is a graph of y=f(x) a) what is the transformations In the appreciate order of how to make a…

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Q: Consider the following. f(x, y) = 5x - 4y (a) Evaluate f(9, 1) and f(9.1, 1.05) and calculate Az.…

A: Given function,fx, y = 5x -4y

Q: 1. Solve for y3 using the method of successive approximation. dy dx = x+y; y(1) = 1

A: Given Data,y1 = 1dydx = x + y

Q: The spread of oil leaking from a tanker is in the shape of a circle.  If the radius r (in feet) of…

A: Below is your solution

Q: Evaluate the following integration.

A: Let Sinx=t

Q: e differentiation to find a power series re f(x) = Σ( n = 0 1 (4 + x)² s the radius of convergence,…

A: We have to find the power series of the given function and radius of convergence according to the…

Q: Find dw/dt using the appropriate Chain Rule. w = x² + y² x = 3t, y = 8t (No Response) dw dt

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Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: 1. Find the exact val a) sin 3π 2 b) cot (210°) c) sec (-765°)

A: topic:- trigonometry  note:- As per our guideline if more than one question posted than only first…

Q: Given the system of linear equations below, determine the value of a, b, and c using CRAMER'S RULE

A: The solution is given below

Q: 4. A speed vs. time graph is shown below. What is the average rate of change in the speed for the…

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Q: Expand/Write out (but do NOT calculate) the Riemann sum, Rs, for the function f(x) = 1 - |x| on the…

A: The function is given as , fx=1-x on -1,14 Write the Riemann sum R5.

Q: Determine whether the given function is linear. If the function is linear, express the function in…

A: Given question:- Determine whether the given function is linear. If the function is linear, express…

Q: 6. Find the value of -1 I 1 = [ ²₁ [2²=2² (2² + 1²³) dy d²x + + [ ₁ [²*² (2³² + y²³) dy dz I by…

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Q: It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars…

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Q: Consider the following table of values of the functions f and g and their derivatives at various…

A: Aim: Dxf(g(2)) We know that,…

Q: Graph the function. Plot at least 4 points. For vertical asymptotes, make sure there are at least…

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Q: 1. Let f(x, y) = y³ + x³ - 2y² - 3x + 30y. (a) Find all the critical points of f. (b) Determine…

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Q: Find f[g(x)] and g[f(x)]. f(x)=√√x+3, g(x)= 18x² - 12 f[g(x)] = g[f(x)]=

A: To find out the f[g(x)] and g[f(x)]

Q: 4. The region bounded by the curve y = x² + 1 and the line y = -x + 3 is revolved about the x-axis…

A: We have to find the volume of solid.

Q: 1. For f(t) given below sketch 1. f(t-4) 2. f(t/3) 3. f(3t) 4. f(2t-4) (a)

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Q: n=1 3n²+5n 8-7n² Does this converge or divenge? Explain your answer

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Q: The graph of the g(t) is given below on the interval [-3,2]. y = g(t) -3 Area = 12 -1 Area = 2…

A: Understanding of area using definite integral is required to solve these kind of problems.

Q: 3. Determine the value of a so that the 2 average rate of change on the function h(x) = x² + 3x + 2…

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Q: Evaluate the integral: J 3 хе x³ e³x dx

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Q: Find y as a function of t if y(0) = 7, 3/(0) = 6. y(t) = 49y" + 140y + 136y = 0,

A: The given DE is: 49y''+140y'+136y=0 So, the auxiliary equation of it is:…

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: (1) -dr x(x + 1)

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Q: What is the sum of odd numbers from 1 to 501. 2. Find the sum of the first 50 even numbers.

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

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Q: The amount of money in Marie's college fund account is given by A(t) 100(1.04) , where A(t) is in…

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Q: Write the system of equations 4x + 2y + 2z = 5 - 4x - 3y + 3z = - 4x - 4y + 5z = - as a matrix…

A: The solution is given below