San 4h (x) dx = [ -3 y h 8 2 AN -3 10 4 -1/ -7 -7 7 x

Q: 5x -2 3 Evaluate: fffdz dy dx 2 2

A:

Q: dy Write down a differential equation of the form dx 17 all other solutions diverge from y = as t →…

A:

Q: Q2 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j + 7k.…

A: Solution is here

Q: Consider a continuous function f(x) = 2e-1-2x, which is true about the relative extrema of f? f has…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: s s² s² sln teu du ds dt

A: We have to solve multiple integration.

Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: 2 3 Evaluate: y cos(z5) dx dy dz 0

A:

Q: Consider the parametric curve: X = = 7et y = 3t5 Which integral gives the arc length of the curve…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

A:

Q: y"" - 4y" + 3y = 0

A:

Q: Evaluate: ₁³₂₁(4x²y — z³) dz dy dx -2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Simplify. Write "undefined" for expressions that are undefined. 1 -6 030-0 [B]- 4 + 5 -2 4.)

A: To simplify.

Q: -3 ³₁₂₁(4x²y - z³) dz dy dx

A:

Q: Given a second order differential equation dx X = e³t dt where t = 0, x = 2. 3t Using Laplace…

A:

Q: Evaluate the following * [x√x² - 7dx

A:

Q: Evaluate the definite integral. 8 [x√x - 7 dx 5.06

A:

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9…

A: Follow the procedure given below.

Q: 1. Find the cofactor of 6 in matrix D 9 8 4 2 -9 3 4 D= -3 2 3 3 2 968 7 6 (8 9

A:

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: Given :f(x,y)=-x2-5y2+10x-30y-62

Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0

A: Given (y-cos2x)dx+cosxdy=0To find general solution:

Q: (2) Z/(5) =........ (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}

A: We have to find out integer

Q: Determine the roots of y"" - 3y" - y' + 3y = 0

A: The given differential equation is: y'''-3y''-y'+3y=0   So, we can also write as; D3-3D2-D+3y=0

Q: Evaluate the following * [csc² cot (5x+6)/2 + C cot(5x+6)/ 5+ C - cot(5x+6)/ 5+ C cot(5x-6)/ 5+ C…

A:

Q: 3 By direct partial integration, Solve the following PDES 8- 8²u axdy = ceBX Cosy SXUCX,#) Ex u(π,…

A:

Q: Evaluate the following [s sin(4x) dx cos(4x)/4 + C -4cos(4x) + C - cos(4x)/4 + C O-4cos(4x) + C

A: To evaluate: Integral

Q: و و ۹۷۶) (0) لا او A 2 1 - X Jx (x+2 - 4

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

Q: Q1llenn Prove the following using the principle of mathematical induction. For n ≥ 1, 1 1 1 1 3/2 +…

A: Given; 1/52+1/54+...+1/52n=(1-1/25n)1/24.

Q: Find the area of the region bounded by the curves 1 y = , y = 4 and the x-axis using vertical strip.…

A:

Q: show that V(x, y) = x 'f (2x+y) is the general Solution of av X du 2X 1 = V ду dax

A: Explanation of the answer is as follows

Q: Find the solution of the given initial value problem in explicit form. π sin(2x) dx + cos(9y) dy =…

A: Given: Now,                sin(2x)dx+cos(9y)dy=0Integrating both sides we…

Q: Solve the differential equation. x dy dx = y + x³ + 3x² -2 x

A:

Q: Evaluate: ²₁²²-²² du (x²-y²)²] S du dt x+y

A:

Q: 5. Use Cartesian coordinates to evaluate ƒƒƒ v³² av where D is the tetrahedron in the first octant…

A: Given problem:-

Q: Find the general solutions for these differential equations: a. xy’ (2y - 1) = y (x - 1) b. (xy –…

A: We have to solve given D. E.

Q: 3 -2 Evaluate: ₂₁ [2³(x + y)³] dz dy dx

A:

Q: Evaluate the integral: S772 Sỗ sin(4t – u) du dt t/2

A:

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A:

Q: Solve the given differential equation. All solutions should be found. dy e5x+11y = dx NOTE: Use c…

A:

Q: Write down a differential equation of the form = ay + b whose ay dt all other solutions diverge from…

A: Here, the differential equation is of the form  dydt=ay+b⇒dydt=ay+ba⇒dyy+ba=a dt⇒∫dyy+ba=∫a…

Q: Given f(x)=x²-1 on [-2,2]. a. Find the critical numbers of f on the given interval. b. Determine the…

A: A critical number of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: dy Exercise 1.7.7: Consider =yx², y(0) = 1. dx a) Use Runge-Kutta (see above) with step sizes h = 1…

A: Since you have asked to solve multiple questions. As per our guidelines we are supposed to answer…

Q: Evaluate the line integral y dx + xy dy where C' is the rectangle with vertices (0,0), (5,0), (5,4),…

A:

Q: 1 (x² - y²)² x+y valuate: ²₁₁² dx dy

A:

Q: f(x) = x - 3, g(x) = x² Find (f + g)(x). 2 - (f + g)(x) = x+x-3 Find the domain of (f + g)(x).…

A: It is given that f(x) = x-3 g(x) = x2 We need to find the solution to the given questions.

Q: Evaluate: ff xy² dx dy

A:

Q: Let R be the region that is inside the polar curve r = 3 and outside the polar curve r = 2 + sin(0),…

A:

Q: The value of A. +3+2x² +C C. = + x² +2+C 20 [ (² + 3) *²x² dx B. +³²+3x³ + C 28 D. none of the…

A:

Q: The utility function of a certain good is given by U(x) = 60x - x2 where x represents the number of…

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: dy Write down a differential equation of the form dt 13 solutions all approach y = as t→∞. 14 y' = =…

A: The general form of the differential equation is  dydt=ay+b