Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² + y²)

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A: Given problem:- Consider the solid obtained by rotating the region bounded by the given curves…

Q: Q5: (a) Let 1 A -1 0 2 and B = -1 2x2 3 2x2 Evaluate A×B (b) Find the inverse of: 1 0 0 0 A = 2 1 0…

A:

Q: Find dy and simplify whenever possible. dx secx+tan x 1. у %3 sec x-tan x - 2. y = e-* cos e¯* – sin…

A: 1. y=secx+tanxsecx-tanx2. y=e-x cose-x-sine-x3. y=arctanx-1+x2

Q: Derivatives of trigonometric functions Find the derivative. 1. y = 3sin x +3 cos x - tan x

A:

Q: y^2=(x^2 - 9)/(x - 4) find the x and y intercept, symmetry, region/scope, asymptotes, critical…

A:

Q: A rancher wants to fence in a rectangular area of 18000 square feet in a field and then divide the…

A:

Q: The following set of data represents the number of families (n) moving into a new town as a function…

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A:

Q: For what values of x is the graph of y=xe-4x concave down

A: Given  that y=xe-4xSolution :if d2ydx2<0 then concave down.

Q: true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x…

A:

Q: Evaluate xe*dx. -3

A:

Q: The length of a rectangle is two-fifths of the radius of a circle. The radius of the circle is equal…

A:

Q: 11.(Straightforward) Find a particular solution to each of these ODES by using the method of…

A: As you have asked for question 11 c only. So I am solving that only. Thank you.   Two solutions y1,…

Q: Solve the given initial-value problems. te dx +(y-1)dy=0; y(0) 0 4.43.

A: identify the differential equation and solve it.

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A:

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: maximum volume

Q: (w°t wz? -z) dw +(z² tw² -w) dz= 0

A: Let's find.

Q: 2) y TC cos 30 1 b: Period: a: d: Phase Shift: C:

A: We have to find a,b,c,d, period and phase shift.

Q: Direction: Solve the following equations using separation of variables. 4. sin(x)dx + ydy = 0, y(0)…

A: Given

Q: - Find the Taylor series expansion for the given function about x =g. :- Using the Taylor series…

A:

Q: (8) 2xy = x2 + 2y² = x² dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Arectangular bin 4 feet long. 3 feet wide, and 2 feet high is solidly packed with bricks whose…

A:

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

A:

Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

Q: Find a unit vector u in the direction of v = (2,-1,5) Ou-( 30 /30 1. u = 30 30 O None of these (4,1,…

A:

Q: 5(3х-1) dx sec ( 3x²-2x)

A: On doing integration we will get

Q: dy J 1+y+1

A:

Q: (4) Consider the function f(r) = r +2- 36r +4. (a) Find the local maximum and minimum values. (b)…

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate ſV7– x²dx

A:

Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

A:

Q: Consider z1 = 1 - j2 and z2 = -2 + j3. What is the result of squaring the sum 5z1 and 3z2? -j2 O -1…

A:

Q: Question Using Trigonometric Substitution, evaluate: S e4*/1+ e2xdx Your answer

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A:

Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: A detailed solution is given below

Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and the…

A:

Q: Find a point Pon the line and a vector v parallel to the line by inspection. Enter the vector ias i…

A:

Q: A PLDT tower and a monument stand on a level plane. The angles of depression of the top and bottom…

A:

Q: Select

A:

Q: -8e4t* + 2e6t cos 2t

A:

Q: Find the absolute extrema of the function. h(x) = ex2 − 9 on [−3, 3] absolute maximum value: ___ at…

A:

Q: The two sides of a triangle are of lengths 300m and 150m, and the angle opposite the 150m-side is 26…

A:

Q: s the volume of the frustum of a cone whose upper base is 16 cm in er, lower base 10 cmin diameter,…

A:

Q: Determine whether each point lies on the line. x = -2 + t, y = 4t, z = 5 + t (a) (0, 8, 7) O Yes No…

A: topic - lines and points

Q: 41m Illustrate and find the largest negative coterminal angle of 6.

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: ( cos³x dx sin*x 9.

A:

Q: 11x +625 The average cost for a company to produce x units of a product is given by the function…

A: