1. Given the DE as x(1 – siny)dy = (cosx – cosy – y)dx a) Prove if the given DE is exact or non-exact. b) Find its general solution.

Q: Solve the problem. A conitant force F 10+ 30J. moves an object from the point P= (6, 4) to the point…

A: Given  F=16i+30j             P=(6,4) & Q=(3,18) To find work-done:

Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. S sin“…

A: To evaluate : ∫sin4⁡3xcos⁡3xdx Let I = ∫sin4⁡3xcos⁡3xdx Let sin3x = u Differentiating both sides we…

Q: 7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2)…

A:

Q: (ar3+ bx2+ cx) dr =2b x2dx where a,b and c are constana A) True

A:

Q: If the profit function for a product is P(x) = 6400x + 80x² – x³ – 190,000 dollars, selling how many…

A:

Q: farctan(6y) dy: Consider the integral 1+ 36y2 This can be transformed into a basic integral by…

A:

Q: 19 Suppose that Ts (x) centered at 2 for f(x) is gien by. Is (X=3+5Cx-2)+8(x-2)²+2G-2)°+(x-2) (3)…

A: T5(x) centered at 2 for f(x) is given by,T5(x)=3+5(x-2)+8(x-2)2+2(x-2)3+(x-2)5

Q: Find the unit tangent vector to the curve at the specified value of the paramet r(t) = 4 cos(t)i + 4…

A:

Q: 26) (a) Sketch the region between the given functions (curves): y= 2x and y=x (b) Calculate the area…

A: Given: Curves: y=2x, y=x2

Q: 'ind the relative maxima and minima of the function y = f(x). ind the intervals of concavity up and…

A:

Q: Solve the following differential equations of yy' + y' = x;

A:

Q: Solve the following differential equations of dy x'y-x'. = y' cos(x). dx

A: Use substitution to reduce the differential equation into linear differential equation.

Q: 1. The resultant of two forces has a magnitude of 55 N in the southeast direction. What is the…

A:

Q: If {(=)dz = f(x)dx f(x)dx + f(x)da f(x)dx, what are the bounds of integration for the first…

A: Solution:

Q: The velocity of a ball thrown upward from an initial height of 80m is given by v(t) = -32t + 64 What…

A:

Q: x²+x dx x2+1

A:

Q: -3 2. (2x+4)3 8x dX use integration by parts and then find the value of definite integral.

A: A detailed solution is given below.

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: The acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle…

A:

Q: Determine whether the series converges or diverges.

A: Solve the following

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(7/x29) dx

A:

Q: Question 1 Give an integer a E Z which makes the following equality true for y = a". 7 log.ry (y) 8…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 3x, x = 4, x = 5 and y =…

A:

Q: 7. Gven that ärb =-6, Jā||= 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector…

A: We have to find if the given vector is unit vector or not.   According to our guidelines we can…

Q: For what values of S is the solution space of the system given below the origin only, a line through…

A: In the given question we have to find the values of s for which the solution space passes from the…

Q: Inx F (x) = So It dt %3D

A:

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

A: tan-1(xy)=sin-1(9x+9y)differentiating w.r.t. x;   11+(xy)2ddx(xy)=11-81(x+y)2ddx(9x+9y)…

Q: Improper Integral. KINDLY EVALUATE and Identufy whether convergent or divergent

A:

Q: 2 Find the cartesiun equation for the polar Carre rこlcos . Al(x-2)²+y2=4 ty²-4 %3D c)x²+ Cy-2)?=4 D)…

A:

Q: Follow the instructions. Typewritten for upvote. No upvote for handwritten. Thank you

A: We have to find the number

Q: dr a 2 1 +3

A:

Q: 14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x…

A:

Q: Question 14 Find the volume of the indicated region by an iterated integration. The region that lies…

A:

Q: 1) What are the equations (4 of them) that show the relationship between polar and rectangular…

A:

Q: f(x) = x-5/x+8 find the domain

A:

Q: Have a look at the following graphs and write the mathematical notation of the following definite…

A:

Q: Question 1 Find the centroid of the given region. y-2- A (8/23,76/111) B (5,15) (c (3/22,45/61)…

A: The expression for the centroid is: For the x coordinate of the centroid: x=1A∬xdydx  For the y…

Q: 2. sin 2wcos 2wdw

A:

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

A:

Q: Evaluate the following definite integrals. 4. , kr+2/dx

A:

Q: x + 4 1. Evaluate dx. Vr2 + 8.x

A:

Q: Solve the following differential equations of cos (y) y'+sin(y) = x

A:

Q: 16z Consider the function f(x) = x°e f(x) has two inflection points at x =C and x = D with C<D where…

A: 1) The given function is:…

Q: Find the sum of the first n terms of the following arithmetic sequence. a1 = 2, d = - 4; n = 6 O A.…

A: Given problem:- a1 = 2 ,d = -4 ,n=6  To find:-  Sum of n terms of given arithmetic sequence

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

A:

Q: 4. The tens digit of a three-digit number exceeds the hundreds digit by the same amount that the…

A: Given: Let the three digit number be  'xyz'  where x is 100th digit, y is 10th digit and z is units…

Q: 7 dx x² + 52 Integrate: + C

A:

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: The values y (in billions of dollars) of U.S. currency in circulation in the years 2000 through 2007…

A:

Q: For problems 3- 4 determine the angle between the two vectors. 3. p 9i-j, =-37-6j

A: Topic = Vectors As per guidelines , At a time only one question can be answered. please repost for…