3 5 58 a. A-¹BT Given A = and B = -2 -5 3 7 find

Q: Find an equation of the line that passes through the point and has the indicated slope. Point slope…

A:

Q: 2 x ln((2x)²) dx 1

A:

Q: [Fid F. dr, where C is given by the vector function r(t). C F(x, y, z) = (x + y2) i+xz j + (y +z) k,…

A: NOTE: Refresh your page if you can't see any equations. here we have ................(1) so we have…

Q: Consider the following second-order differential equation. 6y" + y = 0 Find all the roots of the…

A:

Q: Determine an equation for the family of cubic functions, in simplified form, with the following…

A:

Q: C is counterclockwise around the rectangle with vertices (0, 0), (5, 0), (5, 3), (0, 3) (a) directly…

A: The given integral is: ∮xy dx+x2 dy C is the counterclockwise around the rectangle with vertices…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A:

Q: Find the largest open intervals where the function is concave upward. f(x) = x 3-3x2 - 4x + 5 O None…

A:

Q: Use Euler's method to calculate the first three approximations to the given initial value problem…

A:

Q: Two circles of radius 5, with centers at (-3, 0) and (3, 0), intersect as shown in the figure. Find…

A: Two circles of radius 5, with centers at (-3, 0) and (3, 0), intersect  as shown in the figure. To…

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A:

Q: Find the work done by the force field F(x, y, z) = 4xi + 4yj + 6k on a particle that moves along the…

A: Explanation of the answer is as follows

Q: 0 Solve the following ODES by Undetermined Coeff. "Y -zy - 4y + H -3X 2 ³x + 8 x + 8y = = 2X <-2X…

A:

Q: In 1960, the population of a town was 1414 thousand people. Over the course of the next 50 years,…

A: We need to find out the population in 2020.

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We need to find differential operator.

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

Q: Find three first order partial derivatives of the following function. f(x,y,z)=(x/y)*sin(z)

A:

Q: =valuate the double integral [2aydA, 2xy dA, where D is the triangular region with vertices (0,0),…

A: Given that a double integration and given  D is  triangular region with vertices (0,0) (1,2) and…

Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

A:

Q: find the limit f(x)= (5-x)/x2-25 a) find the x values at which discountous b) which…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined point, take…

Q: Find the area enclosed by the two polar graphs: 1 = 3 and r2 = 6 sin 0. ³/2 (2πT + 2π + 3√/3) A) 3…

A: To find the area enclosed by the polar graphs: r1=3 and r2=6 sin θ.

Q: Solve the given initial-value problem. y(x) = y" + 49y = 0, y(0) = 3, y'(0) = -7

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A:

Q: (2) Scass sydj 3) $ ( x 2 = 10) 2 3 2 १) (क olx dx

A:

Q: lim x→3 2+e* √sin(7x)+x+1

A:

Q: u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -6 2 (b) Find the vector…

A:

Q: y= 2x³-27 3x4 - 2x Find dy da

A: Given: y=2x5-x33x4-2xTo Find: To find dydx.

Q: 6. DETAILS Find the equations of the tangent lines at the point where the curve crosses itself. x =…

A:

Q: Find the inverse LaPlace transform F(s) = 3 ²+5 2

A: Given, F(s)= 3/(s²+5) It can also be written as, F(s)= 3/(s²+(√5)²)

Q: Solve the given differential equation by undetermined coefficients. y"" - y" - 25y' + 25y = 6 - ex +…

A:

Q: A paper company needs to raise money for expansion. The CEO of the company issues a 10-year $1,000…

A: Given Face value of fond, F=$1000 Coupon priceC=$30 Interest rater=7% per anum Time period = 10…

Q: A rectangular field is to be enclosed on four sides with a fence. Fencing costs $7 per foot for two…

A:

Q: Find the gradient of the function at the given point. g(x, y) = 6xe/x, (17, 0) Vg(17,0) =

A: Given problem:- find the gradient of the function at point (17,0) of g(x,y)=6xey/x

Q: We are given the following homogenous differential equation and pair of solutions on the given…

A: Here is the solution:

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 3), b = (-1,…

A:

Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

A:

Q: If f(0) = 1 and lim (a) -1 sec xf (t)-f(x) sect t-1 (b) 0 2 =sec x. The value of (c) 1 f(0) f'(0)' ,…

A:

Q: Use CRAMER'S RULE to solve the system : 2x-y-z = 2 4x + y -z =-5 6x - 2y +2z=17

A: To solve the system using Cramer's rule.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. 1 I NOTE: Enter the exact…

A:

Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

A:

Q: Find g'(3) given that f(3) = -1 and f'(3) = 2. 3x² - 5f(x) g(x) = g'(3) = = eTextbook and Media 2x +…

A:

Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: Verify that the two planes are parallel. -x + 6y + 2z = 3 1 - x + 3y + z = 4 -½-X 2 Find the normal…

A:

Q: Consider the parallelepiped with adjacent edges Find the volume. u = 2i + 7j + k v=i+j+7k w = i +4j…

A:

Q: 3. Find the area of the region bounded by the curves y = x² and y = cos(x). Give your answer correct…

A: The region bounded by the curves y=x2 and y=cos x

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given: general solution is  y=c1+c2e2xTo find:  the homogeneous linear differential equation with…

Q: yP=A ex+Bex What y

A:

Q: C Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(ex) y(x) =

A: