dy = 9 +y osx dx

Q: (2x – y)dx + (4x + y – 6)dy = 0 - C = x + y – 1 C = x – y+1 Option 4 Option 3 C = x – y – 1 %|

A: We are asked to solve the equation and find the value of c

Q: 2, 0 4 Evaluate a. lim f(x) X-4 b. lim f(x)

A: Given:        fx=x, x≤02, 0<x≤14-x2 , 1<x≤4-x+5, x>4  

Q: Write the equations in spherical coordinates 3x+4y+7z=1

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Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation...

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Q: Find the arc length of the parametric curve. x = cos' t, y = sin° t, z = 2; 0 < t < T/2

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Q: Graphs of f(x) (solid) and g(x) (dashed) are given below. Use them to find the following ves. Show y...

A: The given graph of functions is as follows:  

Q: 3. f(x, y) = (3x - 5y)2 + e4x In(4y – 9) + %3D 135 x4

A: We know, ddxxn=nx(n-1)  , for any real number n. ddxln(x)=1x

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(2,...

A: The objective of the question is calculate the directional derivative of the given function.

Q: Find the set of solutions for the linear system 3x1 + 4x2 + 5x3 7 || 5x2 + 8x3 -8 Use s1, s2, etc. f...

A: Find your answer below 

Q: Determine the equation of the line that is tangent to y = elan"(2x) at x = 8

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Q: Astivity 3 tind the deve of 2x-3 uwing 3x -2 the definition -

A: Given,f(x)=2x-33x-2We know that,f'(x)=limh→ 0f(x+h)-f(x)hTherefore,f'(x)=limh→ 02(x+h)-33(x+h)-2-2x-...

Q: Determine whether the two functions are inverses. -5 -5-2x w (x) = and z (x) x+2 dz(x) = O The two f...

A: Given: w(x)=-5/(x+2) and z(x)=(-5-2x) /x. 

Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The equat...

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of tan...

Q: Find a particular solution to the nonhomogeneous equation corresponding to the given initial conditi...

A: Find a particular solution to the nonhomogeneous equation corresponding to the given initial conditi...

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared a...

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Q: y' + y" = siny O 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree O None of the c...

A: Given problem :- y''+y''''=siny  To find:-  order and degree of given differential equation 

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (8,...

A: The objective is to find the equation of the plane. 

Q: _1. Which is the process of using implicit differentiation? A. Derive with respect to x, derive with...

A: Given: Which is the process of using implicit differentiation?  

Q: 1. Evaluate the following integrals: g) . dx sin-1 x V1 – x2 h) . 2 cos(sec-1x) dx 2/V3 xVx² – 1

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Q: Use mathematical induction to show that: 1 2 + 2 2 + 3 2 + ⋯ + ? 2 = (?(?+1)(2?+1)) 6

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Q: Suppose f(x) = [ 6t² /1+t° dt .

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Q: Sketch the region enclosed by the given curves. y 2 cos(7x), y = 2 sin(14x), X = 0, 14 y 2.0+ 1.5 1....

A: We have to find the area between the curves.

Q: 2. Find the derivatives of the following equations: y = sin¬'(1 – t) y = csc-(x/2) y = In(tan¬1 x) y...

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Q: Convert the following number in the radix (base) given to their equivalent value in the radix reques...

A: (36.125)10 = (100100.001)2   a. (36)10 = (100100)2

Q: If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each corn...

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

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Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at...

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Q: Find the following using the table below. 12 3 4 f(z) | 2 3 1 4 f'(x) | 31 2 4 g(x) 3 4 2 1 g'(x) | ...

A: Given data

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The in...

A: N(t) =N0 ekt  ...(1)N0 =260N(1)=260 ekN(8)=260 ek8N(8) =2 N(1)260 ek8 =2*260 eke8k =2 eke7k =27k = l...

Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A:  We will find all the points on the curve at which the tangent line is horizontal using calculus as ...

Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate pr...

A: Let's find. 

Q: 4. j(x) = x² secx 5. k(x) = 9x"/3 + 2

A:

Q: A rectangular flower garden with an area of 390 m² is surrounded by a grass border 1 m wide on two s...

A: Area of garden =390m2vertical height of garden = hthen length of other side of the garden is 360hThe...

Q: d Use quotient rule to prove [cscx] = -cscxcotx. dx

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Q: (1+ ye" + xye")dæ + (xe² + 2)dy = 0 C = xye² + 2y+ x C = xye" – 2y – x %3D - Option 3 O Option 4 C =...

A: ANSWER: Option 3.  

Q: (3k + 8)! Que Consider the series ) ak k3k QuE k=1 k=1 Que a) What is ak+1? Que Que Que: Ques ak+1 b...

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Q: Use hooorthms to Solve. 18103+x= हा c\ २ ५६.

A: The given equations,17. e3x=1018. 103+x=23

Q: dy y(ln y- In a+1) dx 1 C = -In 1 C = In O Option 2 Option 1 1 C =-In None of the choices O Option 4

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Q: If f(x, y) = 5y² – 7xy+ 14x, then is given by: - dy? O -4 O 17 O 10 O -10

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Q: Q/2Salve By G. E the system 2x-9122=6

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Q: Find the exact length of the curve. 1 y = 1 <x < 3 4x

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Q: 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 4 1 2 3 4 6. 7 8 -3 -7 -8 flx) = This graph represents the func...

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Q: |Test the series for convergence or divergence. n2 11. Σ (-1)"+1 3 n=1 n' + 4

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Q: -3a 36)-216 3- 2 3p x²-e3x. 時le). ex² =e12

A:

Q: Determine the diameter of a closed cylindrical tank having a volume of 11.3 m to obtain a minimum su...

A: The volume of the closed cylindrical tank is 11.3 m3  

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the regi...

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Q: In the accompanying figure, arc AB of circle 0 measures 70. If the measure of ZAOB is represented by...

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Q: Hello, I am stuck on the problem. I was hoping for some help. Thank you. MacQuarie Island is a s...

A: MacQuarie Island is a small island about half-way between Antarctica and NewZealand. Between 2000 an...

Q: Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

A:

Q: 2. An jet travels horizontally at a speed of 500mph at an altitude of 3 miles above the ground. A vi...

A: We need to find rate of change of angle of elevation.