S 2 x² dx x² 2 -9

Q: y"-y-4e-x+3e2x; y(0) - 0.y(0) --1.y"(0)-2

A:

Q: Determine the following limit at infinity. lim f(x) X→∞ 9(x) if f(x)→700,000 and g(x)→∞o as x→∞ Find…

A:

Q: Find the exact coordinates of the centroid for the region bounded by the curves y = 4-2² and y = 0.…

A:

Q: Question 13 Find the area of the region between the graphs of y=10-2² and y=-3z-30. The area is

A:

Q: If y(v) = 10 COS 79 72 dr then

A:

Q: N A cylindrical tank is filled with gasoline with weight density of 7840 Determine the force exerted…

A:

Q: Calculate

A: Please refer to the image below

Q: Find an antiderivative F(x) of the function f(x) = - 2x²5x + 2 such that F(0) = - 15. F(x) = Now,…

A: On solving this we will get

Q: 5. If f f(x) dx = 12 and f f(x) dx = 4, then all of the following must be true a. f f(x) dx = 16 ✓…

A: topic- definite integral

Q: Sketch the region bounded by the given line and curve. Then express the region's area as an iterated…

A: Topic = Area

Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: Sketch the region enclosed by y = 3x and y = 5². Find the area of the region.

A: find intersection

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: Find the general antiderivative of f (x) = O2 ln ln 2x + C 1 O + C - 2 ln 2x O-In In 2x + C 1 O + C…

A: The function is given by fx = 4xlnx2 To evaluate: The most general antiderivative of the function.

Q: incorrect please re-provide

A:

Q: 2. Evaluate x sin ædr using integration by parts.

A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

Q: If a parabola's focus is at (-2,5) and directrix is at y = -1, what is the vertex form of the…

A: The correct answer is option (2).

Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: 3. State the slope of the tangent to y = ln (2x + 1) at x = 1 a) = b) = - In3 d) In3

A:

Q: Let f(x) = In(64x2 + 16x + 26). (If an answer does not exist, enter DNE.) (a) Find the interval(s)…

A:

Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

A:

Q: Evaluate the following integrals: dx dx ·S b. S √81+16x² √16x²-9 a. dx 49-4x² c. S.

A:

Q: (a) Assume that f(x) is a function defined by f(x) = x²-3x+1 2x - 1 for 2 ≤ x ≤ 3. Prove that f(x)…

A: Given.

Q: 6e at x-b First find where the two curves meet. y = 5e" meets y = 6e where b Then Area = - f(x) dx…

A:

Q: 7 13 8 a Find the area of the shaded region above.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The shaded region between the graphs of y=-22² +20 and y = 3x - 15 is displayed below in orange. -40…

A: Area of a region is given by ∬dydx, when the rectangle is choosen parallel to y-axis.Area of…

Q: erivative 263.7 0.5cos0+ 0.3515.sim

A: Derivative

Q: 3. Evaluate sin5 xdx

A:

Q: Fill in the blanks to describe the transformations that occur in the the graph from the Parent…

A:

Q: In 23 In y SS 10 Evaluate the integral The value is. (Type an exact answer.) ₂x+y dx dy.

A: The given integral,     ∫0ln 23∫0ln yex+ydx dy

Q: Question Integrate (three) of the following integrals: 1) f sin6x cos3x dx 2) f x√√x + 1 dx cos2x…

A:

Q: Find the eigenvalues ₁ < ₂ and associated unit eigenvectors A = 16 -8 -8 4 The smaller eigenvalue ₁…

A: We can solve this as follows:

Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

A:

Q: 1. Use the separation of variables method to find the solution of the first-order separable…

A: To solve the given differential equation.

Q: Q5: Assuming that drag is proportional to the square of velocity, we can model the velocity of a…

A: We have to solve the problem using Euler's method.

Q: 4.) Find an equation for the plane tangent to the surface 9x² +4y² +9z² = 34 at the point (1,2,-1).

A:

Q: Evaluate LL²³ S²x² y² وژ sin z6 dx dy dz

A: To evaluate: ∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz Let, I =∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz First integrate with…

Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 20…

A:

Q: M Wed May 25 ... 99% webassign.net A pencil cup with a capacity of 33 in.3 is to be constructed in…

A:

Q: (b) Show that the interval of convergence of the series n=1 sest 2-12-1 (4n-3)² is given by

A:

Q: c) A loan of $A is made on 20 April 2015 at a simple interest rate of 6% per annum. The accumulated…

A: Please refer to the image below

Q: A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It…

A:

Q: Given cos(x) = 2 on the interval [0, 2π], what is the value of x?

A:

Q: 50° E 30° D In the figure above, line segment AC is tangent to the circle with center O at point B.…

A:

Q: et the vector v have an initial point at (-6, -2) and a terminal point at (-6, 2). etermine the…

A: Finding the vector V

Q: Evaluate the spherical coordinate integral. 1- cos 2 2π π SS S p²sin & dp do de 00 0

A:

Q: Find the average value of: f(x) = 9 sin x + 8 cos a on the interval [0, 8π/6] Average value=

A: The average value of fx=9sinx+8cosx on the interval 0,8π6

Q: Find the average value of f(x) cos¹ sin x on the interval [0, 3]. = Answer: 3-cos(1)/5

A:

Q: Find f(x) by solving the initial value problem. 5 f'(x) = 2x + 5ex + —; X f(x) = f(1) = 6 + 5e

A: