4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1 following expressions) luxv| + u.W

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

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Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters…

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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: A wall lamp is positioned 7ft up a wall. A 6ft tall woman walks directly towards the light at a…

A: We need to find rate of shadow moving.

Q: 5. Find the residues of the following: a. 2-2 z(1-2) at z = 0; at z = 1

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Q: Q2. If f(x, y) = xy² + y²cosy + xsiny then a) y² - siny c) 2y + cosy a²f is дудх b) y² + cosy d) 2y…

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Q: (c) S x+4 x²+5x-6 2 dx

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Q: Given the function f(x) = x³ − 2x² + 3x within the interval [0, 2], - - at what values of x do the…

A: The given function:fx=13x3-2x2+3x ; within the interval 0,2.We need to find the values of x at which…

Q: Evaluate the following integral using trigonometric substitution. 7 S √√36x² - 49 x3 dx, x> √36x² -…

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Q: dy The solution of the differential equation - y tan x = dx -cos*x sin²x A. ycos²x = + c C. y³ cos³x…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Which of the following definite integrals gives the length of the arc y - 1 + 16x-dy 0 16y – 15 이 0…

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Q: 5. Let f be a function continuous on R and F(x) = af f(t)dt. Then F"(0) is equal to 0 0 O f(0) ○…

A: Let f be a function continuous on R and Fx=x∫0xft dt. Then to determine the expression for F''0.

Q: Q4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

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Q: What is the anticlockwise moment acting on this crane? 25 m 5m load M20000 N 4000 N movable-…

A: Above question is solved

Q: True or False? 13. Let R be a relation on a set A. Then R is transitive if and only if R ◦ R ⊆ R.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: Nx - My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: 1) dx x²+3x-4

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Q: EVALUATE S 4x²-x+4 x³+x²+2x+2 dx

A: A detailed solution is give

Q: Determine the area below y = 3 + 2x - x² and above the x-axis

A: You must have an idea about how to use definite integral to get the area of any bounded region.

Q: 3. The radius of a cylinder is increasing at a rate of 4cm/sec. The surface area remains constant at…

A: Given

Q: Solve the initial value problem. y" - 9y" - 400y = 0, y(0) = y'(0) = y(0) = 0, y"(0) = 246

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4dx 3 x - √√x² S

A: We will use simple Integration rules to solve this question.

Q: 9. A bacterial culture starts with 4000 bacteria. After 12 hours the estimated count is 36000 a)…

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Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

A: partial differentiation

Q: Evaluate using Partial Fraction Decomposition: S x2 (x+1)²(x-1) -dx

A: We know, ∫dxx-a=lnx-a, for any real number a ∫dxxn=x1-n1-n, for any real number n.

Q: A car is moving with uniform acceleration. it covers 200 m in 2 sec and 220 m in next 4 sec. the…

A: A detailed solution is given below.

Q: Given the vector function F(t) = (5t, - 3t², − 4t³ + 5) Find the velocity and acceleration vectors…

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: We need to find derivative.

Q: * Two unlike parallel forces, each of magnitude 50 kN are 200 mm apart from each other. what will be…

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Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

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Q: The particular solution In (x) = 3x + 4y, y(0) = 0 is A. e³x + 3e-4y = 4 B. 4e3x3e-4y = 3 C. 4e3x +…

A: Topic = Differential equation

Q: What is the mass of body if the exerted force of 10 N is accelerated by 5 m/sec^2? O 4.5 kg 1.5 kg O…

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Q: 15. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: The function f(x) = x² + 1 is Bijection from R to R Injection from R to R Onto and Injection from R…

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: limg0 (csc y Arcsing”

A: Given problem:- limy→0cscyArcsiny2

Q: Evaluate using Partial Fraction Decomposition: S x² (x+1)²(x-1) dx

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Q: Explain why the calculation (axb). (ĉ. d) is not meaningful.

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Q: Express the repeating decimal as a fraction. 0.474747...

A: Let's express as a fraction.

Q: For the function f(c)=3x^4-8x^3-48x^2+1 A) find all critical numbers for B) on which intervals is…

A: Using critical point find intervals in which function increasing and decreasing

Q: 50lve the first order ODE UA x'sint - x Cost = -1

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Q: 1 -dx 1-x²

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Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

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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: Let r(t) = Find fr(e) de (don't include the +C) fF(t)dt = < [

A: Given,  r→(t)=-4t4-3,-4e3t,-2sin(-t) ∫r→(t) dt =∫-4t4-3dt,∫-4e3tdt,∫-2 sin-tdt

Q: Find the Maclaurin series for f(x) = ln(1+r) using the definition of a Maclaurin series. Also, find…

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Q: (x²+2) dx x+2

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Q: 1 Consider the function f (x) = on the interval X - 1, 1]. If the Mean Value Theorem can be applied…

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Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

A: