(D5 -D* – 2D³ +18D² –31D+15)y =0

Q: help answering

A:

Q: 1. Find the derivative of the following. f(x)=13x* -7x²+5x²+11x+75 a.

A: Formulas:ddx(a f(x))=a ddxf(x)ddx(xn)=an xn-1ddx(a)=0;  where a is a…

Q: For the function f(x) ex x>0 a) Determine the coordinates of all critical points. b) Use the first…

A:

Q: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

A: We have to check

Q: Determine the following limits, using o or - o when appropriate, or state that they do not exist. x5…

A: Solve the given limit question

Q: nd the volume of the solid generated by

A:

Q: teimx dx xF I+ x²

A: Given query is to find the integral.

Q: Find div F and curl F if F(x, y, z) = 11y°z'i – 14.x°z°j – 7xy*k. | div F= curl F=

A: Given problem:- Find div F and curl F if F(x, y, z) = 11y5 z7 i - 14x6 z8 j – 7xy4 k.

Q: 25. The graph of y = a* +b is shown below. Find the EXACT values of a and b. 6- (2,5) 4- 2- y = a*…

A: This question is based on substitution of points.

Q: In VVi+1-2 dt, if we let V Vt+1 – 2, then dt is equal to A 2(x²+2)dx ® 4x(x²+2)dx c) None D…

A:

Q: Find the value of n in the following definite integral. 4x° dx = 1 Answer:

A:

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

A:

Q: cosxdx 3T +Sinx

A:

Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

A:

Q: Use substitution to find the Taylor series at x 0 of the function 4 sin (-x). Choose the correct…

A:

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A: topic- differential equations

Q: Inn 1 1 1 1 + 25 1 1 a) Σ-(-1)" (- b) 1+ 4 1 + 64 n-Inn. 9. 16 36 49

A:

Q: Consider the following functions. 3 f(x) = Vx - - 3 3 g(x) = x – 3 Sketch the region bounded by the…

A:

Q: the radios of Cnvergente and the lInterval of conergence of the Pouer series (x-2)" n2 +1

A:

Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

A:

Q: Use only the fact that 3x(2 - x)dx = 4 and the properties of integrals to evaluate the integrals in…

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n5 +…

A: Use alternating series test for checking the convergence of series .

Q: The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

A:

Q: Ty csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соfу+ coty dy D) None E у…

A: Integrate by parts.

Q: 5. Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 – x} about the x-axis.

A: Surface area

Q: The graph of f shown below has vertical asymptotes at X= - 2 and x = 4. Find the following limits.…

A: Solution is given below

Q: Resource allocation. A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two…

A:

Q: One of the correct. steps to evaluate x²inx. x²Inx dx to yield the correct integral (A dx x2Inx B x³…

A: The given integral,     ∫x2lnx dx

Q: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

Q: Evaluate the integral. yz dx dz dy O8 68 3.

A: We have to evaluate the given integral

Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of…

A:

Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: Find the points on the surface 1x^2+2y^2+5z^2=1 at which the tangent plane is parallel to the plane…

A:

Q: 8. Describe the type of indeterminate form. Evaluate the limit using L'Hôpital's Rule if necessary.…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: If f(2) = 10, f' is continuous, and f'(x) dx = 20, what is the value of f(3)? f(3) =

A:

Q: ||r(t) x r"(t)|| ||(t)||' Use the formula K(t) to find k(t). r(t) = 4 cos(7t)i + 4 sin(7t)j+3tk %3D…

A:

Q: Evaluate the integral (12x + 15y)dx + (24x – y)dy along the paraboli arc y = x from (0,0) to (1,1).…

A:

Q: integral using ir

A:

Q: Suppose y (t) = 3t-6 is the velocity of an object Part A) What is the total displacement of the…

A:

Q: Clairaut's Theorem Give one example of a function where the Clairaut Theorem fails, and justify your…

A:

Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

A:

Q: QUESTION 4 At an awards ceremony, 6 women and 4 men are each to receive an award and are to be…

A:

Q: 17) Find the area of the serface genereted by revolving tue curr X> 3t, y=2t about fue x-Qx's on tue…

A:

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A:

Q: Determine if the following functions are odd, even, or neither. Provide reason. (a) f(x) = x² (b)…

A:

Q: The decay of a certain substance is modelled by the function N(t) = 100 (3+ e), where the number of…

A:

Q: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

A:

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: Apply the eigenvalue method to find the general solution of the system: X’1=-3x1-2x2 X’2=9x1+3x2

A: