X. 2x4 x³x²+x-1 S = C -dx

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

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Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

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Q: Problem 3: Find (i) f'(x) and (ii) f"(x) of the following functions. 6x4-√x , c) ƒ(x) = e4 – 5e-5x -…

A: As per the rules of the company we can answer only the first question and rest can be reposted.

Q: Let H = Span{u₁,U2, U3} and K= Span {v1 V2 V3}, where each vector is defined below. Find bases for…

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Q: 3. Use polar coordinates to evaluate the double integral. (a) ff sin(x² + y²) d4, where R is the…

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Q: 3. Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B…

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Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

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Q: If u = 4j - 2k and v = 27 − j + 7k, find ū. v. Select one: √110 O -18 O √18 O 18

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Q: Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of…

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

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

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Q: Find the solution of the initial value problem. y” +36y = 0, y(T) = 6, y¹ (7) = == Sketch the graph…

A: To find out the solution of the differential equation.

Q: 2. Use root test to determine whether the following series is convergent or divergent: 00 (-1)" (In…

A: We have to find whether the series is convergent or  divergent by root test.

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

Q: In the following limit, identify f(x), a, and L. Select the correct answer below: O f(x) = -x + 2; a…

A: A detailed solution is given below

Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: g. h. √(x² [x³e³dx x² - 2x + 1)e2x dx

A: The given integrals are;  g) (x2-2x+1)e2x h) x3ex.

Q: Use the formula for the binomial series: to obtain the Maclaurin series for V1 + x. Ο 1- O Ο 00 1 +…

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Q: x² + 2x x4 - 3x² - 4 S dx

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Q: Evaluate the integrals: 2x4 1. S: -dx x²-x²+x-1

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Find the solution of the initial value problem y" + 16y = 0, y (7) = 8, y¹ (17) ² Sketch the graph…

A: See this solution in below.

Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

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Q: If a = 2j and b Select one: True False 4k, then a b = 8. ●

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Q: 1. Find the convolution of f(t) = 3t and g(t) = sin2t?

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Q: x³x² j - 7x + 13 x² - x - 6 -d.x

A: To evaluate the integral.

Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: at what value(s) of x does the graph of g(x) have relative minimum(s)? justify your reasoning

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Q: 7. A company sells two models of a product. Suppose the profit equation is P(91,92)=−16.0 +598.8q₁…

A: We have to find the profit.

Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

A: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

Q: Find the general solution of the following differential equation. 64y" + 16y' + y = 0 NOTE: Use c₁…

A: The given differential equation,     64y''+16y'+y=0

Q: 2 When proving the limit lim(11x + 2) = 35, and e > 0 is given, what is an appropriate choice for 6?…

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Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

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Q: Find the indicated derivative and simplify. 2x-3 2 x + 9x y' for y=- y'=0

A: To find the derivative.

Q: Ex3. Find the absolute maximum and the absolute minimum values of the function f(x, y) = 2 + 2x + 4y…

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Q: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

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Q: Find the points on the surface z²2=xy+1 that are closest to the origin using LaGrange multipliers

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate dy dy dt x² +…

A: topic- implicit differentiation

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: write this on paper. I need a step by step handwritten work not just the online calculator

A: Given the series,     ∑k=1∞3k3+3k2+5

Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

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Q: 1 (√x² – 9) , -dx

A: ∫vn dv =vn+1n+1+C .

Q: If f(x, y) = x²y + x sin y, then is af dx Select one: 2xy + sin y x² + x cos y ₂2 O O x² + sin y O…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3…

A: Given: Rate of inflow of water, dVdt=2 m3/min Height, h= 3m Radius, r=2m

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given:  f(x)=12x3−63x2−72x+6 To find the critical point evaluate f'x=0

Q: Find two functions fand g such that h(x) = (fog)(x) and f(x) + g(x) + x. h(x)=(x-3)² ƒ(x) = ¯ and…

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Q: k. [₂ x cos³ 2x sin 2x dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Question 1 [ a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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