What is the form of the particular solutiony for the P differential equation y" - y = R(x) where R(x) = 4e*? A B D A C Ae* с E Ax Axet There is no correct answer from the given choices.

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=

A:

Q: lim x(√16x² + 2 - 4x) X118

A:

Q: Evaluate the definite integral using Part 1 of the Fundamental Theorem of Calculus. 6² Enter the…

A:

Q: Let f be a continuous function such that 2 Lª¸ ƒ(2) dx = - f(x) dx = -8. What is the value of -3 2…

A:

Q: Let f be a continuous function such that 10 1 of f(x) dx? 4 What is the value of 4 8 f(x) dx 10 1²°…

A:

Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

A:

Q: tab caps lock hift ↑ esc →1 Find the first six partial sums S₁, S₂, S3, S4, S5, S6 of the sequence…

A:

Q: Find the area enclosed by the lemniscate with equation ² Choose your limits of integration…

A:

Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

A: Graph of the function given on the interval 2,4 with 20 sub interval of equal length we have to find…

Q: The regions A, B, and C in the figure below are bounded by the graph of the function f and the…

A:

Q: 2. A force F = [-2,1,5] in Newtons, pulls a sled through a displacement s = [-3, 5, 4] in metres.…

A: Using dot product of vectors and obtain the magnitude of the force vector

Q: 60° IIPII=23 Q Find the EXACT components of the vector above using the angle shown. P Check Answer…

A:

Q: State whether the given sums are equal or unequal. 20 20 Aj and ke j=1 k=1 O Unequal O Equal > Next…

A:

Q: Starting at age 25, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A:

Q: 3) Graph and evaluate and evaluate 5 dx -2 7 6 و اس ام اس اب 5 4 3 2 101 -7-6-5-4-3 -2 -1 0 1 2 3 4…

A: Topic = Functions

Q: 1 f(x) =(√² + √2)²

A:

Q: Find the derivatives of each of these functions. a. y = (x¹+csc(z)) ³ b. y=sin(z) sec(41) c. y = csc…

A: Note - As per our guidelines we have to answer first three sub parts if multiple subparts are posted…

Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

A:

Q: Find the arc length (s) of the curve (t) 8 = r(t) = (5e³t, 4e³t, 2e³t) for 0 ≤ t ≤ ln(4)

A: The arc length s of a curve r→t = xt, yt, zt for a≤t≤b is given by s = ∫abx't2+y't2+z't2 dt

Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

A:

Q: The area of a square is increasing at a rate of 56 centimeters squared per second. Find the rate of…

A: Given data÷ Rate of change of area  =dAdt=56cm2/s Side of square =a=4cm We need to find dadt=?

Q: Find fxx(x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 9x e 9xy fxx (x,y)=…

A:

Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx

Q: Solve the differential equation dy dx y+√√x²+y² X O a. y² = 2x-1 O b. x2 = 2y-1 O c. √x² + y² O d.…

A: To solve the given differential equation.

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y=-x² + 7x between x = 1…

A:

Q: 1 2 ¹/² (²1-5) dz. Write a limit using summations that would equal

A:

Q: Find the area of one leaf of the "four-petaled rose" r = 7 sin (20). X FIGURE Four-petaled rose (Use…

A:

Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x) = 7x² − 14x + 4…

A:

Q: 1. Conisder the vvf r(t) = 12ti — +8t³/2 j + 3t² k, t> 0. (a) Find the arc length of the curve for…

A:

Q: At my apartment I have a closet with 250 ft3 worth of space. If each of my spherical .cannonballs…

A: Disclaimer: since you have asked multiple questions , we will solve only first question for you. if…

Q: √√√x- S: z 12, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

A:

Q: Find the volume of the region bounded by z = x²,0 ≤ x ≤ 5, and the planes y = 0, y = 2, and z = 0.…

A:

Q: Evaluate the following integral over the Region R." (Answer accurate to 2 decimal places). S S 4(x +…

A:

Q: O Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

A:

Q: 1.2: The solution of (Se*-3)³ = 32 is a) In 3 b) 2 c) 1 do e) None of the above

A: Explanation of the answer is as follows

Q: 2. The piecewise function g(x) is defined as follows (x+2)³ g(x) = cos(x) (x-1)²/2 if x 1. (a)…

A: Please see the below picture for detailed solution.

Q: What is the perimeter of an equilateral triangle inscribed in a circle with a diameter of 20 cm?

A: **As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: (a) Consider the power series Show that B(x) converges for all x. B(x) = Σ n=0 (-1)η 2η 22n (n!) ²

A:

Q: 3. (a) Find the curvature (t) for the vector-valued function (t², 2t, In t), t > 0. (b) Find where…

A: Basic identities of differentiation and vector calculation are used

Q: Evaluate f 4x²-3x+2 X dx.

A: Given, ∫4x2-3x+2xdx

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A: The given function is x2-y2+2xz-xy+yz.

Q: ✓cos x lim x 0 1 cos x - -

A: The given limit is limx→01-cosx1-cosx

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A:

Q: Let f(x) = 10x + 12 - 9e. Then the equation of the tangent line to the graph of f(x) at the point…

A: given f(x)=10x+12-9ex

Q: Consider vectors u and v. Find unit vector w in the direction of the cross product vector u x v.…

A:

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = 2x² + y²…

A: Given: Let us take x = t. So, we get y=t4  and  z=2t2+t42=2t2+t8.

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = ln(x + 5y + 6z). F(x, y, z) = =

A:

Q: Write a limit using summations that would equal 0 tan (2x) dx.

A:

Q: dr √3-4r-r² 17 -1 r+2 sin-¹( + ²) + C +C) (Ans: sin

A: Yes the answer you have given is correct. see below the calculation using the  trigonometric…