04; pag 3: pas duas + yoya Sugupo 3n+1-1 n 3n J-1 25

Q: Find the area bounded by the curves y=sinx, y=cosx between x=0 and x=π/2. PLEASE INCLUDE HOW TO GET…

A: To find out the area bounded by the curves.

Q: Lim x²-4 x-x-6

A: Using L-Hospitals rule

Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

A:

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

A:

Q: A population of bacteria B has a growth rate proportional to B itself. If between 12:00 nn and 2:00…

A:

Q: If p(x, y, z) = x²z + ey/x, evaluate grad op at the point (1, 0, -1).

A: The function is φ(x, y, z)=x2z+ey/x

Q: 3x+ +4x +4y² = 25x³

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

Q: Lim (sinx)* -0+

A: Given query is to find the limit of the expression.

Q: (j) [e³ sin 2rdr

A:

Q: The function is X 2 = y² What is 8²% მ2 Y x²

A:

Q: The general solution of (D³+4D)y=0 is Ay=e*(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁еx+c₂e²x +…

A:

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

A:

Q: Q3/Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

A:

Q: Find the differential equation whose solution is given by y² = 4ax. A. y = 2xy' B. y=xy' C. y = xy'…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Numerical Integration: •2 S² 1. -dx X

A:

Q: Calculate the points of intersection of the curves x² = 4y and aup ert neswted biloa ent to y²/4 = x…

A:

Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. Consider the function f : R² → R such that f(x, y) = 2xy² + x² − 2xy = y + 1. (a) Write down the…

A:

Q: Evaluate: L{cos(3+2t)} s cos32sin3 A s²+4

A:

Q: Which of the following indefinite integral has a general antiderivative of: * 5 1 x4 −²x³ + x² − 7x…

A: We know that integration and differentiation are inverse operations.

Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t). dz 4cos4t…

A:

Q: Lim (112²28 - 1²/²) \sin²x

A: Given problem:-

Q: 1. INTEGRALS AND ITS APPLICATIONS x2- √(¹-2)² dx S

A: Solution is here

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line…

A: We can find the area as below.

Q: Find the average value of f over region D. f(x, y) = 3x sin(y), D is enclosed by the curves y = 0, y…

A: Here, the domain D is the area enclosed by the curves y=0, y=x2 & x=7 is: A=∫07∫0x2dy…

Q: Write TRUE or FALSE before each statement. Solve y + y = ry³. Statement 1. The integrating factor is…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Find the average value of the function f(x, y) = xy over the triangle with vertices (0, 0), (1,0)…

A:

Q: Question 2 Given a differential equation as d²y dy 2². - -3x- +3y=0. dx² dx By using substitution of…

A: Let's solve diffrential equation by using substitution x=e^t  or t=ln(x).

Q: 8. The general solution of y"- y = x²ex + 5

A:

Q: Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b] th then A True B False [ f(x)dxz…

A:

Q: 1. Let G be the solid in the first octant bounded below by the surface z = y + x² and bounded above…

A:

Q: 3 [²(x²) dx 0 Using the definition of definite integral, ff(x)dx= lim f(x) Ax, and the given…

A: Given, ∫03x2dx

Q: Lim √2+x² X

A:

Q: 3. Use Use the disk method to determine the volume of the solid obtained by the revolving the region…

A:

Q: Write TRUE or FALSE before each statement. Solve y' - ³y = dependent variable. differential…

A:

Q: May I ask why there is a plus 8 in the final answer?

A: We have to explain why there is 8 in final answer.

Q: What is the annihilator for y=x e*cos 2x ?

A: Our Aim is to compute the annihilator for y=x ex cos 2x -(i)

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

A:

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.  How fast does the tip of…

A: Given that, A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.

Q: 10. The current to a projection lamp is measured at 4.7 A when the line voltage is 115.45 V. find…

A: 10)  P=VI P=115.45*4.7 P=542.615 watt(w)

Q: xdx (x + 1)²

A:

Q: (u)n zu = (u)x

A: Given problem:- Find the Z Transform of a given signal.  x(n) = n2 u(n)

Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: A critical point is a point where the derivative of the function is 0 or does not exist. At critical…

Q: Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due…

A: Solution is here

Q: Expand the quotient by partial fractions. x+7 (x+6)² X+7 (x+6)² (Simplify your answer. Use integers…

A:

Q: 은 J4-√x dx

A: This question can be solved using integration by substitution.

Q: 1 Lim x-0* x 1 sin x

A:

Q: 1+x² 1. Find the area of the region bounded by the curve y=- and the lines y = 0, y = x, x = 2. 2x2

A:

Q: Evaluate the integral: e3+ cosh2x33+ cosh2xsinh2x dx

A: We know that integration of ex is ex + c .     Here i attached the solution of this question.

Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.