4x²+1 lim

Q: (x³ + xy² – y)dx + (y³ + x²y + x)dy = 0

A:

Q: (2V3 V4+x² X4

A: The following integral can be solved by using the following steps :

Q: Homogeneous: Solve the equations xydx + (x² + y²) dy = 0

A: Let, y=vx Now differentiate on both sides with respect to x. ddxy=ddxvxdydx=dvdx·x+v·ddxxdydx=xdvdx+...

Q: Linear Differential Equations of Order 1 (1+ cos t) ds = sint (sint + sintcost – s) Treost = S sin?t...

A:

Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: Find the inflection point (x,, f(xp)) of the following function: f(x) = 3x³ + 9x² – x + 11. If - an ...

A: Given : f(x) = 3x³ + 9x² - x + 11

Q: Find the general solution of the differential equations. (c) y(4)+ 8y´´ + 16y= 0

A: (a)

Q: A boy is flying a kite at a constant height of 60 ft. If the kite is moving horizontally at the rate...

A: This is a  simple problem of application of derivative which includes concept of pythagoras theorem:...

Q: 1. Find and Y and simplify whenever possible. d²y dx dx2 Given parametric equations: x = t3 +1, y = ...

A: Since, you have asked multiple questions, we will solve the first question as per company guidelines...

Q: fnd the cibsolite maximum and minimum Valves uf f in the set D txy) absolute mximun valve cbsolute m...

A:

Q: The diameter of the base of a cone (with its base diameter equals to its height) is to be measured, ...

A:

Q: 6. Find an equation of the tangent plane and a set of symmetric equations of the normal line to the ...

A: Let's find. 

Q: 3. The table shows the average price of a personal computer during certain years. year 1997 1999 200...

A:

Q: Consider the function f(x) = x- 3x2-9x +4 At what interval is the function concave upward? (-0, –1) ...

A:

Q: Find the indicated partial derivatives. ,67,8 f(v, w, x, y) = 3vw®x*y® af af af af

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Q: 26. Figure 22 shows the region enclosed by y =x³ –- 6x and y =8 – 3x². Match the equations with the ...

A:

Q: The sum of a number and its square is 56. Find the number.

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Q: Evaluate the integral (exact value). e3x sin(6x) dx = -1652.086

A:

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 3x²y – 6xyz + 7yz? %3D ...

A: topic - partial differentiation

Q: 3x+1 = 26-2x, then find X. Ob. 3 O. Od. -2 3/

A: We can find the value of 'x' as below

Q: 1. Find and d'y and simplify whenever possible- dx2 iven: x = t3 + 1, y= 4t2-4t

A: Given: x=t3+1y=4t2-4t

Q: - (v + x³ + xy®)dx – xdy = 0.

A: To solve the given differential equation. 

Q: The consumer demand equation for tissues is given by q = (104 – p)², where p is the price per case o...

A: The solution is given below in the next step: 

Q: rocket is launched so that it rises vertically. A camera is positioned 5000 ft from the launch pad. ...

A:

Q: Consider the following. w - xy + xz + yz?, x= t, y- 7t, z-7 (a) Find dw/dt using the appropriate Cha...

A: We have to use chain rule to solve the question.

Q: x2-4x dx 3) S (x+1)(x²+4)

A:

Q: QUESTION 5 S(x) = A-x and g(x) = x+2 Find (f o g)(1). O 2 O Undefined O 1 QUESTION 6 Given logx = -3...

A: topic - functions

Q: 3. Given z =, show that ху xy(zxx + Zyy) уз — х3 2 || x²y2

A: We have to find

Q: Question A company orders and uses 2, 880 boxes of office supplies. Each order has a fixed shipping ...

A:

Q: Evaluate the double integral. IL sy? da, D= {(x, y) I -1 s y s 1, -y – 2sxsy}

A:

Q: Given a the vector equation r(t)=(3+4t)i+(−2+3t)j+(−3+1t)kr(t)=(3+4t)i+(−2+3t)j+(−3+1t)k, rewrite th...

A: We have to find

Q: Reverse the order of integration in the following integral. cos (x.у) dx dy

A: The given double integration is: ∫05∫0cos-1y5f(x,y)dxdy The limit of x in the given integral is from...

Q: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,500 w...

A: Given, Monthly demand for farming studs is 2500 when the price is $ 5 Monthly demand for farming stu...

Q: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1 1...

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1    x...

Q: #28 how would I find the range of an equation like this? For my test I will have to graph it. How do...

A: this is a problem related to the graph plotting. Based on the intercept value we can know how graph ...

Q: V 4.x2 + 4y2 and below the plane z = 10. At each point 9. Let W be the solid region that lies above ...

A:

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate tha...

A: To evaluate the given limit substitute x=3 and y=2 in the given function.

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,300 and t...

A:

Q: Let f:R^2 --> R^3 be given by f(x1,x2)=(e^(x1+x2^2, x2+cos(x1,x2), x1^2+x2^2+2) Compute the Jacobe...

A: Using jacobian matrix,

Q: 1. Eliminate the arbitrary constants on the given equation: y = A + Be*

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: sin x cos x tan x = 1 – cos² x -

A:

Q: 1. Show that | sin x cos3 x dx = sin® x sin x +C = - 8. cos*x, cosx cosx +C 3

A: To prove:-

Q: Question 14 2- 4x +6 x2 1-2 A) 2 B does not exis C) None of the given choices D 1 E E -2

A:

Q: 94 Learning Theory In a typing class, the average number N of words per minute typed after t weeks o...

A:

Q: At what points is the function y = log (4x – 8) continuous? .... Describe the set of x-values where ...

A: We have to find

Q: what is the slope intercept form and in standard form of the following   a=2, b=7 m=2, (3, -1) m= -...

A: In this question we will use basic of calculus i.e equation of straight line. We will simply use the...

Q: find the derivative of function x^2+4y-10x-16y+5=0 at (7,3)

A: Given:       x2+4y2-10x-16y+5=0        at 7,3    Differentiating on both sides      2x+8yy'-10-16y'=...

Q: A tank contains 50 liters of water in which 10 grams of salt is dissolved. Brine containing 2 gram o...

A: A tank contains 50 liters of water in which 10 grams of salt is dissolved. 2 gram of salt per liter ...

Q: The integral dx converges for p ? and diverges for p ? (x - 3)P If the integral converges, enter its...

A: Explanation of the answer is as follows

Q: 18. dx/dt = e'(1 + sin t)/(1 + cos t). Answer: [x – e' (tan(t/2)) = C]

A: