olve the differential equation with the appropriate method. Finalize answer free of fractions and logarithms.                a) xdx + ydy = (x^2 + y^2)dx

Q: 11 2

A: We can solve this as follows:

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations hat are…

A:

Q: S (In x)?dx

A:

Q: 5. * 1 dx x (In x)3 A 1 + C 2 (In x)² C 1 + C 3 (In x)² 1 + C 2 (In x)2 1 + C 3 (Inx) - - O A O B O…

A:

Q: J arctan x dx A C In(x2) + C In(x² + 1) + C x arctanx x arctan X - | 1. x arctan x +- In(x2) + C x…

A:

Q: ind cylindrical coordinates of the point with rectangular coordinates (3, –3, –7).

A:

Q: Find the value(s) of the constant k so that f(x)=kx2-5x+1 and g(x)=x2- kx -6 have the same critical…

A: A point x=a is said to be critical number of a function y=f(x) iff f'(a)=0

Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

A:

Q: dx x'+3 Xん X

A: We have to solve the integral.

Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

Q: Note: you will need to find both the gener e homogeneous problem, and a particular so mogeneous…

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 2, 32)…

A:

Q: dy J 1+y+1

A:

Q: (x) = sin(x) ompute (5) + * (5 ) + x" (;) IT 2

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Find the general solution for the following equation: y''' + 3y'' – 4y' – 12y = 0

A: Solve the differential equation by assuming eλx for some constant λ.

Q: f(x + Ax) - f(x) Find lim Ax-0 Ax f(x) = 3x- 9x %3D Step 1 Find f(x + Ax) by substituting x + Ax in…

A:

Q: For the function glven below, use algebra to evaluate the limits lim f( メー→+ lim f(x), and limf(x)…

A:

Q: e length and breadth of the floor of a room are 30 ft. and 20 ft. pectively. Square tiles of 2 ft.…

A:

Q: We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we…

A:

Q: Find the Laplace Transform of the following functions s? – o? 1) f(t) =t cos(@t) Ans. F(s)= (s² + w*…

A: According to our guidelines, we can answer only three subparts of a question. Kindly repost the…

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: Derivatives of trigonometric functions Find the derivative. 1. y = 3sin x +3 cos x - tan x

A:

Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (4,…

A:

Q: xdx + ydy = (x+ x¯ +y° )dx

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: This question is based on 3d line equation.

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: 4.

Q: 1. (3x²+ 2y²)dx + 2xydy=0 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

A:

Q: A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of…

A:

Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9996…

A: True error : true value - approximation. True error in Length of bridge: 1000 - 9996= 4 cm

Q: 1+cos4x 1. 1-cos4x -csc2xdx

A:

Q: -8e4t* + 2e6t cos 2t

A:

Q: Which of the following is not equivalent to tan"? 2 1- cos 0 csc 0 + cot 0 sin 8 O Option 1 O Option…

A:

Q: Find a) any critical values and b) any relative extrema. f(x) = x -2x +2 ... a) Select the correct…

A: We need to find critical points for maxima or minima.

Q: cos³x dx sin*x

A:

Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: Let the region R be the area enclosed by the function f (x) = e® + 2 and g(x) = 6x + 3. Write an…

A: Given: f(x) = ex +2,    g(x)=6x+3

Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: Let a = (– 9, – 4, 1) and 6 = (10, 4, 5). Compute the projection of a onto b and the vector…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

A: Given: fx,y=2x+3y2+2 ; Px,y=3,5   As we know that; The expression for the gradient vector.…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u · (v x w)| to determine…

A:

Q: Find the gradient of the function at the given poin w = x tan(y + z), (6, 15, –13) Vw(6, 15, –13) =

A: The given function is w=xtan(y+z) ............................................. (1)  We have to find…

Q: Solve the following items and show your solutions. c.) Find the general solution and solve for the…

A:

Q: What is the approximate value of x in the figure below?* 723 58 427 3244 ft. 3169 ft. 820 ft. O 3322…

A: Find your answer below

Q: Find the dot product of the following vectors u and v. %3D

A:

Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

A:

Q: Several statements about a differentiable, invertible function f(r) and its inverse f-(z) are…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: If it is continuous, there are 3 conditions needed to be satisfied: i. f(a) is defined ii. lim x→a…

A: The three criterias that you have mentioned are for a point. When we check the continuity at a…

Q: 1. The Fibonacci sequence is given by the recurrence relation a, = a,-1 + a,-2; a, = 0, a, =1. Write…

A: