Differential equations 2xe²tdt+(1+e²¹)dx=0 exact

Q: evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: We have to write the definite integral for volume according to the given information then we have to…

Q: = Let y = f(x) = 3x¯¹ + 4x. Find the equation y = g(4) = _ g(x) of the tangent line of y = f(x) at x…

A: Given, y=f(x)=3x-1+4x

Q: w many years are required for an investment to double in value if it is preciating at the rate of 2%…

A: Given query is to find the time needs to make the investment double.

Q: Find the volume of the solid generated when the region enclosed by y = √√√√x + 2, y = √4x, and y = 0…

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Q: Write an equation in standard form of the line passing through (2,6) with an undefined slope.

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Q: Let c be a constant and let f and g be differentiable functions on R². Use the gradient rules…

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Q: Let à = − 3ỉ − 2j + 2k. Find ||ā||.

A: Find the square root of the sum of the squares of the coefficients of each unit vector.

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: Find the area of the parallelogram that has u = i − 2j + 2k and v=2j+ k as adjacent sides. NOTE:…

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Q: A point moves along the curve y = √x in such a way that the y-component of the position of the point…

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Q: f(x) = 2x² + 3x + 1; 4² / + 24/1 = 8x+10

A: Topic- differential equations We are given f(x)=2x2+3x+1,we need to check whether f(x) is the…

Q: y = x² cos x at x = 0.4,

A: To compute the first and second derivatives of the function.y=x2 cos x, at x=0.4.

Q: Find the area of the triangle with vertices P(1, 6, -2), Q(0, 0, 0) and R(4, 6, 1). NOTE: Enter the…

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Q: Find Vz. 5xeby x + 6y NOTE: Give your answer in unit vector notation; that is, in terms of i and j.…

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Q: Find the limit lim h->0 lim h→0 f(−11+h)-f(-11) h f(−11+h)-f(-11) h 0 if f(x)=1238 - 6x².

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Q: Find all critical numbers of of the function f(0) = 2sece+tan@¸ 6 π < 0 < 8π. Select one: a. 0= b.…

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Q: 1 5 6 7 8 Previous y 6 S 44 3 24 -6-5-4-3-2-1 -24 031 3 acer -1 Find g-¹ (2). Type your answer...

A: See this solution in below.

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Solve for k if h(x) = 7x+k is tangent to f(x) = x^2 +3x - 8 (Problem 16) I don’t really know what…

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Q: Consider the region R: Bounded by y = sqrt(2x), y = 0, x = 2 and y = x^2, y = 4, and x = 0. Using…

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Q: Consider the following functions. f(x) = x², g(x) = x + 3 Find (f. g)(x). Find the domain of (f.…

A: As per the company guidelines We can first three parts only. Please understand. Kindly repost the…

Q: Suppose that f is a continuous function on the interval [0,3] such that f(0) 4. Apply the…

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Q: Question Which of the following polynomials is guaranteed by the Intermediate Value Theorem to have…

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Q: Cπ/4 (a) √ (b) J (c) /1 - cos(4x) dx x² 2 (x² - 1) / dx dx S So (x + 1) (2² + 1) 0 (d) a sin(h x…

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Q: Question 2. Prove the reduction formula for n ≥ 2. [00e* r dr = ²008-¹rainx+"=1 / casz dz cos cos"…

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Q: Rewrite the following expression in terms of exponentials and simplify. ln(cosh(8r)…

A: we know that coshx =ex+e-x2sinhx=ex-e-x2nowcosh2x-sinh2x=ex+e-x22-ex-e-x2…

Q: Determine the interval(s) over which the graph of f(x) = -x6-6x5+12x-2 is concave up or concave…

A: Given , f(x)= -x6-6x5+12x-2

Q: Find the points of inflection and discuss the concavity of the function f(x) = sinx-cosx on the…

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Q: Find the derivative of the function. √√5-4 √5 + f(s) = +6

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Q: Find the distance (d) from the point ( – 6, – 1, 0) to the plane - x - 2y + 5z : - = d = 49.

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Q: Determine whether ones there can be applied to 7 on the closed interval [a, b]. (Select all that…

A: Determine whether Rolles theorem can be applied to f on the closed interval [a,b]. fx=x23-2, [-27,…

Q: -4 2 15 10 -5 -10 -15 2

A: A complete graph of a polynomial is shown.  a) is the degree even or odd? b) is the leading…

Q: Let R be the region bounded by y = 2, y = √√√x, and x = 0. According to the disk method, the…

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Q: Use the Binomial Theorem to expand the binomial (a + 2b)6 and express the result in simplified form.

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Q: Find '(t), given r(t) r' (t) = = (3e-2t, 2 sin(2t), - t³ + 3).

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Q: Find the vector component of v = 2i - j + 3k along b = 3i + 6j + 6k and the vector component of v…

A: Given that       v = 2i - j + 3k       b = 3i + 6j + 6k

Q: Graph the derivative of the function graphed on the right. Choose the correct graph below. OA. in…

A: Graph the derivative of the function graphed on the right.

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given function⇒fx,y,z=39x+12y-56z  Subject to constraint x2+y2+z2=19204

Q: 6) f(x) = -(x+3)(x - 1) X₁ (x-1) -X -X6 Leading term -x6 lim ((x) = -00 End Behavior: m flyt X-700…

A: Let's solve polynomial function.

Q: Find the derivatives of all orders of the following function. y = (x - 5)(x + 4)(x+6) y'-0 y" -…

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Q: Suppose that the dollar cost of producing x appliances is c(x) = 1500 + 130x − 0.4x² a. Find the…

A: We need to find costs.

Q: Find the vertical asymptotes, if any, and the value of x corresponding to holes, if any, of the…

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Q: A circular oil slick is expanding with radius, r in feet, at time t in hours given by r = 12t -…

A: Concept: The radius of the circular oil slick is r The area of the circular slick is  A=πr2

Q: x² x+0 tan² (x² + 2x) Evaluate: lim

A: The objective of the question is evaluate the limit at "x=0".

Q: Exercise 8 At a gathering there are n chairs and some collection of people (including possibly none)…

A: Consider an be the number of antisocial ways to seat some number of people in these n seats, such…

Q: nd the approximate elevation. climber on Mt Everest is 6000 meters from the start of his trail and…

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Q: The cost function, C(x), in dollars for producing x units is given by C(x)=0.17x²+25x+650.…

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Q: Consider the function f(x)=√x near x = -1. Find the linear approximation error when using the linear…

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Q: 4. Consider the inequality | 2| < 3. As needed, reference back to the terminology of Exercise 3…

A: Given inequality  x−2&lt;3

Q: 5 Choose numbers from the tiles below to fill in the bar model. Then write and solve an equation…

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