solve using methods of undetermined coeff. and identify Yp . (D^2-25)y=xe^x

Q: 7) va = 4h %3D

A:

Q: use the given condition to write an equation for the line in slope int form  passing through (4,8)…

A: To write an equation for the line in slope int form  passing through (4,8) and (7,3)

Q: Z'1z Where Cil21 ComflexAumber

A:

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x X-axis…

A:

Q: What is the equation of the line tangent to the parabola y2=12x at point (2,2)

A: y2=12x  ⇒  4a=12                     a=3

Q: Find the value of integrat

A: Given: ∫12exxdx

Q: x³ dx

A:

Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: Integrate sec^3xdx

A:

Q: r10 xe -dx (x+2)(x+3)(x² – 1)

A: Using gaussian 5point quadrature

Q: x*Arcsinxe

A: we have to find

Q: Solve in variation of parameters y´´ + y =cscx

A: Given differential equation is: Solution of differential equation is sum of complementary function…

Q: Estimate the cubed root of 28 using a linear approximation

A:

Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and…

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: + xy' + y = 8 Inx

A: Consider the given differential equation as x2y''+xy'+y=8lnx. Since the differential equation is…

Q: Next There is a line through the origin that divides the region bounded by the parabola y = 4x –…

A:

Q: Aregular octagon

A:

Q: Find the point on the curve y = sqrt x that is closest to thepoint (3,0)

A: Given curve y=x Let A(x,y)  be a point on the curve and let B(3, 0) So distance between A and B is…

Q: Solve x2 + 10x – 7 = 0 Give your answers correct to 3 significant figures. Show your working…

A: For the quadratic equation, ax2+bx+c=0, the quadratic equation is given by:

Q: sec 180⁰

A:

Q: The slope of the tangent line to the parabola y 3x2 + 2x + 6 at the point (5, 91) is: The equation…

A:

Q: find the roots using secant method. Stop until at 15th iteration or when approximate percent…

A: The secant method is xn=xn-1-fxn-1xn-1-xn-2fxn-1-fxn-2. The function is fx=2x4+13x3+29x2+27x+9 Set…

Q: y = Arctan (2x)

A:

Q: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

Q: solve using variation of parameter

A:

Q: Differentiate y = 1/ cube root of ( x 2 + x+1)

A: The given function is y=1x2+x+113. Differentiate the above function as follows.

Q: The slope of the tangent line to the parabola y = 3r2 + 6x + 2 at the point ( – 2, 2) is: The…

A:

Q: Use Integration by parts to solve: (3xsin(5x) dx

A:

Q: Use the variation parameters method to solve: y" + 4y = sec2x

A:

Q: the side of a sqaure is 10 cm. find the approximately, by using differential, the increase in the…

A: Given that side of a square a is 10cm and it is increased by 0.02cm.

Q: Find the general solution using Methods of Undetermined Coefficient and Variation of Parameters.…

A:

Q: 11

A: A tangent is a line segment which touches the circle at only one point. A tangent is perpendicular…

Q: Solve for x: tanax=-1 -atanx

A:

Q: What is the smallest possible area of the triangle that is cutoff by the first quadrant and whose…

A: Given that the triangle that is cut off by the first quadrant and whose hypotenuse is tangent tothe…

Q: Find the length of the curve on the interval 3/2 Y= (10x+ 15) 15

A:

Q: H-W. Min 2=20X メー+2-メ Ya 3 Const.

A: Given: MinZ=20x1+10x2x1+2x2≤403x1+x2≥304x1+3x2≥60

Q: Solve for x. Resuelve para x. 19 Submit

A:

Q: Use the variation of parameters method to solve y" + y = secx.

A: A differential equation is given. We need to solve it by variation of parameters.

Q: y= 3 Arcsec 3x

A:

Q: y 1-

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

Q: S(sech²(cosh3Ø)sinhø dø

A: According to question given :∫(sech2cosh3ϕsinhϕ dϕ

Q: Find the length of the arc y =: 8 1 from X = 1 tox = 4. 4x?

A: Graph: Given: y=x48+14x2. So,          y'=x48+14x2' =x32-12x3.

Q: Graph the given parabola by determining the vertices and using first derivative test y = 3x4- 8x +…

A: Given parabola:                              y=3x4-8x3+6x2            Let's find the y-intercept for…

Q: dx

A: Solution...

Q: Evaluate In(3 + j4)

A: