Find the distance between line 2xy + z = 4.

Q: dx √3 1 + x²

A: we use the  formula ∫dx1+x2 = tan-1 x    +C

Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

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Q: Evaluate lim x tan a x - x cos x

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=e²t 8. Find a…

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Q: a. [CO²2 2 cos²x√4 tan x tan² x da

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Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

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Q: can you answer question 3 please

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Q: √3 ♡ dx 1 + x2

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Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

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Q: Find the modulus and argument of (a) Z₁ = -√3+√ and (b) 2₂ = 4+ Y j Hence express Z₁ Z2 and 2₁/22 in…

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Q: Select the correct answer to the following problems: a) f(x) f(x) dx ○ f(4) 00 ○ f(0) f(x-4) f(x)dr…

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Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny [TD [t ex+y dxdy

A: Given problem:-

Q: Find the difference of place value of 5 in the number 2,53,459??

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Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

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

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Q: Find 넥 L -TS (s+1)e- s² + 4s + 4

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Q: 1. Find the equation of the tangent line to f(x) = (x-1)² 3 (x+1) when x = 2.

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Q: I. Jas dx 25+ x²

A: Given, ∫125+x2dx

Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: Let y = =tan(4x + 6). Find the differential dy when x = 5 and da Find the differential dy when x = 5…

A: A detailed solution is given below.

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: 3. Find the area of the region bounded above by y=e*, bounded below by y = x, and bounded on the…

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Q: Find the determinant of the following elementary matrix by inspection. [0 100 1000 E = 0010 0001…

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Q: Solve the following integrals: 1. S-7e*dx 2. (2ex - 6x) dx √² (3x) dx 3.

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Q: Calculate Differentiate. 1 = 2 z² + 1 f(z)

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Q: Which of the following equations is(are) true? 1 S xdx lim = ( Σ 2+ =1 1 I xdx = - 2 + -2 O None of…

A: Above question is solved.

Q: Suppose I want to make a simple garden with 3 plots (pictured below) out of wood. y If I have a…

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Q: Differentials: Determine the differential of the following: 3x² - 6xy+3y²-2x+2y-1=0

A: Given: 3x2-6xy+3y2-2x+2y-1=0

Q: ax x(x² - 1)

A: The given integral,       ∫dxxx2-1

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and…

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Q: J (11x + 17) dx 2x² + 7x - 4

A: We have to find Integration of given Integral.

Q: Solve the systems of equations by using the matrix inverse method. r+s+t+w=4 2r-s+w=2 3r+s-t-w=2…

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny ex+y dxdy 0

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Q: A particle start its motion from rest under the action of constant force. if the distance covered in…

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Q: Solve the integral shown below. So cos¹¹ 3xdx Só 11

A: ∫0π6cos113xdxLet u=3x.=∫0π2cos11u13du=13·∫0π2cos11udu=13·∫0π21-sin2u5cosuduLet…

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

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Q: 120 N. if the distance between th charges is doubled, the force will be; O 15 N O 30N 60 N O40N

A: We will solve the problem.

Q: 4. A 25-ft long ladder is leaning against a vertical wall. The foot of the ladder is on a horizontal…

A: To solve the following problem.

Q: 2. Given the following: ƒ(x) = x³e¯*; ƒ'(x) = x²(x − 3)(− e¯¾); ƒ''(x) = x(x² − 6x + 6)e¯* a. Find…

A: Given

Q: A rectangle is bounded by the x-axis and the semicircle y = √25-x² What length and width should the…

A: Area of a rectangle is the product of its length and width. We use first and second derivative test…

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

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Q: 3. _1ffx,y) = tan—1 (), then X c) (x2 +y2)2 is ܐܐܐ )b ܐ)?x +y(

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Q: Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x =…

A: We have to show f has removable discontinuity at x=3 and find the value of c

Q: (a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC-area…

A: Let's solve for area of the triangle.

Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

A: .We have to find the length of curve,

Q: 2 7. A soup can of volume 700 cm³ is to be constructed. The material for the top costs 0.7cents/cm²…

A: We have to find the dimensions of the can.

Q: I. Find the general solution of the following: 2 dy = -2x + 3x -2x = 3e dx (x²+5)dx- (2y - 1)dy = 0…

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Q: By using double integrals, find the surface area of plane + y² -+z=c that lies inside a a the…

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