1. DIFFERENTIAL EQUATION (2y³ + 4) dx = (6-2xy²) dy

Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. 2 4 sec 0…

A:

Q: Use spherical coordinates to evaluate the triple integral [[[ 2² + 3² + 2²dV, where E is the ball:…

A: We will first change it into spherical coordinate and then solve it.

Q: Complete parts a through f below to find nonnegative numbers x and y that satisfy the given…

A:

Q: Problem 2.4 Evaluate lim (√²+x-=-) x X

A:

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A:

Q: 5. It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A:

Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

A:

Q: Sx tanx dx

A:

Q: Find the derivative of the following function. f(x) = sinh 16x

A:

Q: Find the Laplace Transform of f(t) = sin2tcost A B 2 54 +55² +4 2 Ⓒ 4 E s² +3 s+10s² +9. ( 5++55²+4)…

A: Given problem:- Find the Laplace Transform of f(t) = sin2tcost

Q: Consider the following. u = (2, -1,0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal to…

A:

Q: 3. A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the…

A: The solution is given below

Q: Estimate the area under the graph f(x)=1/(x+3) Over the interval (-2,1) Using 8 approximating…

A:

Q: Let W (s, t) = F(u(s, t), v(s, t)) where W,(1,0) WŁ(1,0) = u(1,0) = -1, u,(1, 0) = −5, ut(1,0) = -7…

A:

Q: A x Given that cosa= and 0 <a<, determine the exact value of cos 3 A cos = (Simplify your answer,…

A: All trigonometry ratio are positive in first quadrant .

Q: Solve the given differential equation by undetermined coefficients. y" + 6y' + 5y = 10 y(x) =

A:

Q: Consider the following differential equation to be solved by variation of parameters. y" + y =…

A:

Q: Write an expression for the polynomial of least possible degree graphed below. Leave your answ…

A: The solution is given below

Q: Determine whether the given set of functions is linearly independent on the interval (-0⁰, 00).…

A:

Q: Explain why the integral is improper. 100 1 10 X 1.4 converges diverges 1.2 1 y 0.8- 0.6 dx 0.4 0.2…

A: To find the value of an improper integral, convert the integral in terms of limits. If the resulting…

Q: Find the surface area of the solid generated by revolving the region bounded by the graphs of y =…

A:

Q: Consider the differential equation y" - 2y + 17y= 0; ex cos(4x), ex sin(4x), (-∞o, co). Verify that…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

A:

Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

A:

Q: Let F be the vector field defined by F(r.y) -. Evaluate the following line integral with and without…

A:

Q: 1²e¹dV where E is bounded by the parabolic cy E

A: the answer is give in step2

Q: down oes... not a precise m However, with ann an algebra c concave do rate of chang creasing y…

A:

Q: 8. A rocket is fired into the air with an initial velocity of 98 m/s. The height (h) of the rocket…

A: The height of the rocket after t seconds is given by the expression h=98t-4.9t2

Q: 1. Function f is continuous on (-00,00). Find constant k. f(x) [kx² + 2x x-kx if x ≥ 2 if x < 2

A:

Q: 1. [cos³x dx [Use the reduction formula]

A:

Q: Find the angle 9 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A:

Q: h X f! 1-X.

A:

Q: 72. Function f(x) = cos 2x, π 0<< 2 Real Number a = 1

A: Given: fx=cos2x 0≤x≤π2

Q: If f(0) = 1 and lim (a) -1 sec xf (t)-f(x) sect t-1 (b) 0 2 =sec x. The value of (c) 1 f(0) f'(0)' ,…

A:

Q: #10 M8 0=1 n² +8 a. Comparison test with 1.5 Shows the series diverges. n' b. limit comparison test…

A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A:

Q: 4 n=n? + 2n 1 4. Σ -(x-3)"

A:

Q: Find the length of the curve. 1 10x3' y 6 + 1 ≤ x ≤4

A:

Q: Consider the function. f(x, y) = 4 -1/3-2/4/20 Find Vf(x, y). Vf(x, y) =

A: Given :fx,y=4-x5-y4

Q: ~tu{S} o 1 In(y) dy de

A: We have to find the double integral

Q: Point Line (-7, 1) x+y=8 Exercise (a) Write an equation of the line through the point parallel to…

A: This question can be solved using the concept of point slope form of a line.

Q: Evaluate the following expressions. Your answer must be an exact angle in radians and in the…

A:

Q: Evaluate cos A. -1 COS Select the correct choice below and, if necessary, fill in the answer box to…

A:

Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

A:

Q: Find the extreme values of the function and where they occur. 7x X + 1 y= 2 OA. The minimum value is…

A:

Q: 2. Determine whether or not the series converges. State clearly the test you use, and show all…

A: We have to check the convergence

Q: Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

A:

Q: Given f(6)=3, f′(6)=11, g(6)=−1, and g′(6)=7, find the values of the following (a) (fg)′(6)= (b)…

A:

Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

A:

Q: What is the original price of P1,743,759 discounted price at 22% discount?  (whole number)

A: discounted price = 1,743,759  discount rate = 22%  find original price = ?  this discounted price is…