2. z4+5²

Q: dy (2a³ – 3x²y + y³) 23 – 6x²y + 3ry? dx %3D

A: This question is based on solution of homogeneous differential equation.

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

A:

Q: x+ 4x2-9x-36 y = 4x2+28х+48

A:

Q: 10) Find lim [ g (x-2) / f(x) ] = _ A) 3/ 7 B) 1 C) 7 D) 7/ 3 lim g(8x-f(x+2)) = X 1 11) Find A) 1 B...

A: We have to find the value of the limit                                  limx→3g(x-2)/f(x)       and ...

Q: = Z

A:

Q: 4x3 + 2x + X 4. lim X→-4 X -3

A: 4. As per our guidelines we are suppose to solve only first question if the multiple questions are p...

Q: The shadow of a vertical tower is 73.0-ft long when the angle of elevation of the sun is 32.0°. Find...

A: From the given information, we find the height of the tower

Q: Write the first five terms of the sequence: 17 ln n n Determine whether the sequence converges, and ...

A: We will find the first five term of the sequence and also find the limit if given sequence is conver...

Q: 1. Find the determinant of the following matrices by using elementary row operations. 4 -7 9 1 6. (d...

A:

Q: 2х-3 3. у %3 Зx+4

A:

Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (a)  ...

A: Follow the procedure given below.

Q: Find the initial velocity such that the particle will have the same position at t-4s a. and t- Os. b...

A: Follow the procedure given. 

Q: Which vector is not collinear with [c, d]? O [2c, 2d] O(-c, -d] O [10c, 10d] O [d, c]

A:

Q: dy (8y – a²y) + x – xy² = 0 dx

A:

Q: For the given parametric equations, find the points (x, y) corresponding to the parameter valuest = ...

A: Given that: x=4t2+4t, y=5t+1

Q: Write the parabolic equation in standard form and identify the vertex, focus, directrix, and directi...

A: As you have asked multiple questions so I have answered first question as per the guidelines.

Q: Given the graph of f, find any values of x at which f'is not defined. 1 -2

A: Graph of the function is given, we have to find the values of x for which f'(x) is undefined

Q: Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 4 Y2 = 2x + 8 dx -2

A:

Q: Assume sin(8) = 301 25 and 0 is in Quadrant III. Compute the other five trig functions for the angle...

A: We have to find all trigonometry function.

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A: Given :xy-2x-8=0x=2

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

A: Given equation: x2=4y    which has to be revolved about the y-axis.  

Q: I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following f...

A:

Q: 1. Suppose that v = (0, y, 0) is the velocity field of a fluid and let S be the surface defined by y...

A:

Q: + 3х — 1 V4r6 – 2x lim -00

A: Given that:limx→-∞x3+3x-14x6-2x

Q: Evaluate the expression. [18 + (-6)](-2) O A. 6 3. О в. Ос. 30 D. -6

A: We know that the BODMAS operation; Bracket  or → order  or x2.. →Division ÷ → Multiplication × → Add...

Q: Use the Simpson's Rule to approximate the given integral with n= 8. (Find Ss.) Round your answers to...

A:

Q: Evaluate the integrals C f (z) dz, where C is the unit circle centered at the origin and f (z) is g...

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: I+ Vr4 – 3r lim -0 1 - Vr+ 3x * + 3r

A:

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: Evaluate cosh jin 3 decimal places.

A:

Q: Set up the definite integral that gives the area of the region. Y1 = x2 – 5x Y2 = 0 dx 3 * 4 6 12, -...

A: Area of the Region bounded by the curves :If f(x) and g(x) are two continuous function on a,b and f(...

Q: 3. Let P= and Q = . Find the values of a and b such that Pis parallel to Q.

A:

Q: 1. f(x) = -|x + 6| + 5 Range: x-int: у-int: Intervals on which f (x) is decreasing: Relative Extrema...

A: f(x) =-x+6 + 5                                      

Q: (f) / sec“ y dy. tan5

A:

Q: Use implicit differentiation to find and for x? + 2y2 + 3z2 = 1. əx ду

A:

Q: vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter wi...

A: Solution of the problem as follows

Q: The size of a certain insect population is given by P(t)=400e population equal 2000? 011 where tis m...

A: Given that: Size of population at any time t, P(t)=400e0.1t

Q: Calculate by using integration by substitution, sec? V5 (4) tan 17 dx What was your substitution? u ...

A: For the following problem,

Q: dx xVx2/3-7 XVX

A: Given that: ∫dxxx2/3-7

Q: Let f(x) = and calculate V15 x+1 f(x) dx by using integration by substitution. What was your substit...

A:

Q: b) E(-1)"+1 Vñ Inn n-1

A: The given series is: ∑n=1∞nln n which is an alternating series with bn=(-1)n+1nln n, n≥1  

Q: A researcher is trying to determine how class attendance and sleep impacts student test scores. From...

A: x=number of lectures attended Row in table belowz=number of sleeping hours Column in table belowfx,z...

Q: ∫ tdt/t^4+64

A: the given integral,     ∫t dtt4+64

Q: Find the equation of the plane that contains the point (3, 2, 3) and the line  x = -4 +4t, y = -3t,...

A:

Q: 2 sec wdw a) 1

A:

Q: x+tan x 4. lim X→0 sin x

A:

Q: Given the points G(1, –1, 3), H(-1, 2, 1), and K(4, 1, 1), find GH + GK ) × GH · ( GH + HK -23 31

A:

Q: 4. f(x) = e*-1 + 2 %3D Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= lim f(x)= X-0

A: f(x)= ex-1+2 The domain of a function is the set of inputs accepted by the function. for every value...

Q: by’dx -x(2x° + y)dy - 0 ; y(1)=1 2.

A: Make this equation first linear then solve by finding integrating factor

Q: 1. Y= 3x -x- 2

A: Find your answer below