Integrating factor by inspection: Solve the equation (x² + y² – y) dx + xdy = 0 y = x tan(c - x) O x = y tan(c - x)

Q: 3. You may use your graphing calculator for this problem. Make sure to explain your answers, includi...

A:

Q: Find the general solution of the differential equation. 169y(3) + 182y" + 49y' = 0 V(x) =

A:

Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c - ...

A: To evaluate the given integral.

Q: A ladder 10 ft long leans against a building. The ladder forms an angle of 60° with the ground. (a) ...

A: Find your answer below 

Q: Integrating Products and Powers of Trigonometric Functions Evaluate the indefinite integral. / sin't...

A: topic- indefinite integral

Q: dy Given a level suface 5x?y? + 2xy = 5 with y = y(x). Find at the point dx %3D (4, 3). Give your an...

A:

Q: Rate of Evaporation The Los Angeles Zoo plans to transport a California sea lion to the San Diego Zo...

A: Given : At any time t ,the blanket will lose water (due to evaporation) at rate proportional to the ...

Q: Evaluate the integral: S csc²xv1+ 3cotx dx. A. (1+3cotx) + c B. -3(1 + 3cotx) + c c. (1+3cotx) + c -...

A: Solve the integration

Q: Find

A:

Q: Hi, I need help with solving these derivatives. Thank you for your help! g(z) = 2z" – ež In(z) - f(t...

A:

Q: Find the equation of the tangent line to the graph of y(z): Equation of the tangent line is y (1-4(3...

A:

Q: x cos x + sin x Find x sin x *xp-

A: Evaluate the following.    ∫xcos(x)+sin(x)xsin(x) dx

Q: True/False: y = 4+ ln x solves the differential equation xy = 1. True False

A: Given:           xy' = 1 

Q: dx Evaluate: J sin x A. 3tan'x ++C C. tan'x +C tanx tan x + C tan 2x D. в. 3tan'x tanx 2tan2x

A:

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a ro...

A:

Q: Consider the differential equation dx æ(7 – 6t)e³t dt x + 6 (a) Identify and state the dependent and...

A:

Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

A:

Q: 2x +1 ds J x2 - 7x + 12 A. -7ln/x- 3|+ 9ln|x - 4| +C C. -7ln|x +3| – 9ln|x+ 4| +C 3. 7In|x + 3| + 9l...

A: Explanation of the answer is as follows

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 3y2,   ...

A:

Q: Determine whether the Series is. convergent divergent.Write or the exact test that you Use.

A: The series divergence test:The simplest divergence test,called the DivergenceTest,is used to determi...

Q: 2 A = -4 1 6. has an eigenvalue A of multiplicity 2 with corresponding eigenvector v. Find A and X =...

A: Given     Matrix is given

Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x = ...

A: We know: lim∆x→0∆y∆x = dydx                                                                         ...

Q: (a) Show that the following identity is true 1 1 2n +1 n2 (n+ 1)² n²(n + 1)² (b) Use the identity in...

A: Sum

Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of int...

A:

Q: If Ris the unbounded region between the graph of y = z(ln z)² and the x-axis for x > 3, then the are...

A:

Q: Using the disk method, find the volume of the solid generated by revolving the region bounded by the...

A:

Q: -3m c2n n S " S" (sin x + cos y)e? dx dy dz A. 2n(e2" + e3") B. 2n(e2". c. 2n(e3 + e2") D. 2n(e – e2...

A:

Q: use the disk method to find the volume of the solid of revolution generated by revolving the region ...

A:

Q: Evaluate A. 1 B. 3 C. 2 D. 4

A:

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a din...

A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number o...

Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 ...

A:

Q: Find the area bounded by the curves y? = 6x and x? = 6y. A. 15 sq. units B. 18 sq. units c. 9 sq. un...

A:

Q: A circular plate of 9m radius is submerged vertically in a tank of water so that its top is 4m to th...

A:

Q: F sin?(20)de c. D. - A. в. A B.

A:

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: ∫xn dx = xn+1n+1+C

Q: An object of mass 10 kg is released from rest 1000 m above the ground and allowed to fall under the ...

A:

Q: If the integral contains v(x^2 - a^2), the best trigonometric substitution to be used is A. let x = ...

A: Solution is written in below steps.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = square root...

A: This is a problem related to find area of the curve using integration. Please use below method to so...

Q: Use the given information to determine the values of the remaining five trigonometric functions. (As...

A: Solution ) sin A = 3/5 We know sin2 θ + cos2θ = 1 1)cos θ = √( 1 - sin2θ) cos θ = √( 1 - ( 3/5)2) co...

Q: 3. J 2Vxdx

A:

Q: Evaluate the integral. (Re du |u3- u?

A: Solution is written in below steps.

Q: Expand completely, write all exponents as factors In (x+1) 3 Recall Vx : X = (x – 1) 5

A: Given query is to expand logarithmic expression.

Q: 23-51. Calculating derivatives Find the derivative of the following functions. 36. y = -x³ cos x + 3...

A: We have to find derivative

Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4 an...

A: EA = 0.0030056

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: 27 at z = 0. Find the equation of the tangent line to the graph of y(z) = Equation of the tangent li...

A: Find the equation of tangent line to the graph of y= 2x/√(1-x2) at x=0 . 

Q: Write an equation for the function graphed below

A:

Q: 3 /9ーx? 20. dy dx -3 /9ーx2

A: On solving this we will get-

Q: Find the area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2). S...

A: