2. Determine the direction angles for vector w = (-3,-4,12) (ehem 2) Sairie er to vilinolev insluizen or a lar

Q: Solve y'' + y' 6y = 0, y(0) = 2, y'(0) = y(t) = 21

A: To find solution of differential equation

Q: Solve the following DE: dr de +rsece=cos0 Or(sece+tane) = 0 - cose + C Or(sece-tane) = 0 + cose + C…

A:

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. SX² 4 x-1 dx…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine all the symmetries of r = 4 sin(1 + cos: 30).

A:

Q: Given that; f(2)=2, f'(2)=3 g(2)=6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f) (2)=

A:

Q: The total spent on research and development by the federal government in the United States during…

A: Given query is to find the total spent on research and how fast it changing.

Q: y² Define Q as the region bounded by the functions u(y) = around the y-axis, what is the volume of…

A:

Q: Rewrite logg (13) as an expression that only has terms involving log10-

A: Concept: Change of base rule of logarithm logb(a)=  logx(b)logx(a)

Q: 1.) xy3dx + (y+1)e^-xdy = 0 2.) dx/dy = x-2ycotx

A:

Q: dz Given z + 6√√-6x+y=√√√−y=z= −3, calculate - dx Provide your answer below:

A:

Q: Find the points on the surface x² - yz on the surface x² - yz = 5 that are closest to the origin.

A:

Q: X Let A(x) = f f(t) dt, with f(x) as in figure. -1 2 10 0.5 1 1 I 1 1 1 L I 1 I I LLL 1 1 1 1 1 1 1…

A:

Q: Question Determine which of the following tests would be best to use to determine the convergence of…

A: The given series is 10/n2, n from 1 to infinity.

Q: Evaluate the following improper integral, showing all calculus and algebra work. Determine if the…

A: Given query is to find integral convertor diverging.

Q: (w³ + wz² − z dw + (z³ +w²z − w)dz = 0 3 3 - -

A:

Q: Solve the differential equation. dy 2√xy = 1, dx The solution is (Type an equation.) x, y>0

A:

Q: (a) Ivan bought 14 pounds of flour for $8. How many dollars did he pay per pound of flour? dollars…

A:

Q: Consider the DE x³y' + 8x²yy' + 4xy²y³ = 0. Making the substitution v = y/x in the DE yields 1 + 8v…

A: We need to write that the equation obtained after substitution is true or false.

Q: 2. Expand. (a) 2+² (b) e-lnx (c) log3 (2xy)

A: Use laws of surds and indices

Q: Gamma function The gamma function is defined by T(p) = ™ 2P a. Use the reduction formula 1. x²e-¹ dx…

A:

Q: 1. Show all solutions and box final answers. Find the value of x where the function is discontinuous…

A: We need to find discontinuity of function.

Q: 2²u u Verify that the following function satisfies Laplace's equation, + ax² ay² u(x,y) = 7y (3x² -…

A:

Q: Determine the type of DE (select all that applies): dr dᎾ + rsec0 = cos( Separable Exact None of…

A:

Q: x x ² ( x 5 x + y) = 1 y dx

A:

Q: 1. Find the volume of the solid generated by rotating the region enclosed by z = 2y², x = y² +1…

A:

Q: ne given e

A:

Q: Write an equation for a rational function whose graph has all of the indicated features:  -…

A:

Q: Find the horizontal and vertical asymptotes of the graph of the function. (Enter your answers as a…

A:

Q: Calculate the derivative: (6t4 - 7t) dt =

A: To find the Derivative.

Q: Given that; f(2)=2, f'(2)-3 g(2)=6, g'(2)=4 Calculate the following (fg) 2= (f/g)'(2)= (g/f)'(2)=

A:

Q: Calculate the derivative t4 d dt et √4 + x² dx ←

A:

Q: Determined of the following. Do NOT simplify your answers. 2. arccos arcsinh x CSC X y = x (Use…

A:

Q: Write the integral as a sum of integrals without absolute values and evaluate: ƒ³ |x³| dx : =

A:

Q: If csc(x) = 6, for 90° < x < 180°, then ¹ (²) C sin $(²/7) COS N|8 = = an (²/2) = C

A:

Q: Substitute y = erx into the given DE to determine all values of the constant r for which y = ex is a…

A:

Q: Question Which of the following statements applies to the convergent alternating series n=1 (−1)n+1…

A:

Q: 5. Given 20 different types of inputs to a program, in how many ways can 8 of them be selected if…

A: Topic -Permutation and combinations When order matters in selection, we use permutations . When…

Q: 3 Define Q as the region bounded by the graphs of u(y) = -²(y-2). the y-axis, y = 0, and y =…

A:

Q: 9. A trough is formed by bending a 4m wide piece of metal into segments as shown. What angle 0 will…

A:

Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A:

Q: I If f(x) = = √² (1²³ + 3t² (₁ (t³ + 3t² + 5) dt then

A:

Q: If you have 80 feet of fencing and want to enclose a rectangular area, all four sides. What is the…

A: Given :- If you have 80 feet of fencing and want to enclose a rectangular area, all four sides. To…

Q: 12. Find the local maximuma, local minima, and saddle points for the function f(x, y) = x² + y² +…

A:

Q: For the following telescoping series, find a formula for the nth term of sequence of partial sums…

A:

Q: Find the length of arc of the curve given by the parametric equations: x = t³, y = 2t², −1≤t≤2.

A:

Q: Find all points of intersection of the given curves. (Assume 0 ≤ ? ≤ 2? and r > 0. Order your…

A: Given, r=sin2θ, r=1

Q: 4. The marginal profit from making and selling x products per day is P'(x) = 350 + 4x - 3x² Find the…

A:

Q: Find the first, second and third derivatives of f(x) = 1/x. From this, deduce a pattern and use this…

A:

Q: Question 1 Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA.0 OB. 1/4 OC. 1/2 OD. 3/4 O E.…

A:

Q: Given y^2+t ^2+(e^2y+2ty)y'=0, and y(1) = 0, Find: C (constant)

A: