Find the differential equations for each family of curves under the following conditions: a, b) Circles with center on the y-axis.

Q: Find the following limit. 1 x+6 Provide your answer below: 1 3 lim x--3 x + 3 Give your answer as a…

A:

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: Convert 3.2 ft2 to square inches

A:

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2. Ans: 2xy" -…

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

Q: x²y = 1 + cx

A:

Q: Find the general solution of y'= sin²xcosy.

A:

Q: 1. Which of the following matrix multiplications make sense? Evaluate the ones that do make sense.…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. Y = sin 3x (=…

A:

Q: Which of the following equations is NOT a variable separable differential equation? A B C D (xy -…

A: We have to choose the equation which is not a variable separable differential equation.

Q: The vector v = ai + bj is parallel to the line bx - ay = c. Use this fact to find an equation of the…

A:

Q: fex cos (2x) dx

A:

Q: Calculate $o (3x + 5y - cos(y)) dx + x sin(y) dy if C encloses a region of area 4.

A: To evaluate the given integral.

Q: Find dy/dx for the following functions:- u² (4) y=²+1 , u = 3x² - 2 (3) 4x² + 3xy - xy² = 0

A: We can find the answers in the below steps

Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

A:

Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

A:

Q: Please

A:

Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

A:

Q: Prove the following mathematical ?x аф -у, ӘӨ дz relationships: f sin 0 r

A: According to the Bartleby guidelines, I'm solving the first one, please repost the other question…

Q: f sec (5x)tan (5x) dx A. 5 B. 1/2 cos 5x + C C. tan 5x + C D. 15 sec 5x + C ²5 csc 5x + C

A: The given indefinite integral is: ∫sec(5x)tan(5x)dx Necessary formula: ddx(sec x)=sec x tan x ⇒∫sec…

Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

A:

Q: 1. t. Determine the order of each of the following differential equations, and state whether it is…

A:

Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

A:

Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

A:

Q: Let F = (2x, 2y, 2x + 2z). Use Stokes' theorem to evaluate the integral of F around the curve…

A:

Q: Write 11 Stan¹¹ iftan x dx in terms of 9 tan x dx

A: The integration of tan11x write in terms of tan9x.

Q: Simplify the expression by first getting common denominator, then pulling out any common factors in…

A:

Q: <++ 10 -10-9-8-7-6-5-4-3-2-1 9+ 8- 7 1 6+ 10 4 3 Y 2- L -2- 3 -4- 5 -6+ -7+ -8+ -9+ -10+ 2 3 4 5 6 7…

A:

Q: You are calculating a tip on a restaurant bill. The service was good, so you would like to tip about…

A:

Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

A:

Q: Find the time required for an object to cool from 300°F to 240°F by evaluating the following where t…

A:

Q: Find the percent of increase or decrease to the nearest whole percent.  $8.00; $10.00

A: Percent of increase of a value= (new value - old value)*100/old value

Q: 357. 358. 359. cπ/3 0 sinx-cosxdx sinx + cos x ₂π/2 π/6 ₂π/3 π/4 CSCxdx cotxdx

A:

Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

Q: Find the standard form of a circle given the following conditions. Sketch the graph. 1. x²+y²-25=0…

A:

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

A:

Q: Solve the following integrals:- (2) S dx (1) Sx3-2x² dx x²√√9-x²

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: Which differential equation follows the form y'+p(x)y=q(x)? A (В E dy dx dy 4-+y=6x dx - 3xy=4y² dx…

A: I am attaching image so that you understand each and every step.

Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

A:

Q: Solve 2log (√√x) -log(6x - 1) = 0. 1 A X=- 6 B 1 X=- 5 Ⓒx=5 D x=6

A:

Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A:

Q: Find the area of the segment cut off from the curve y = sin x, 0≤x≤ n by the line y = 1/√2. H4 34 y…

A: Let's find area of segment.

Q: 20. f(x) = sin a for a < 0 cos x for 0≤x≤ ³T tanx for 37 < x < 2π for 27 < x < 5 cot a Let f be the…

A: A piecewise continuous function is continuous on a given interval in its domain if the function…

Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

A:

Q: 1. Solve the differential equation xy dx = (x+2) dy =o

A:

Q: √ ¹ (1+√x)3 √x - dx

A:

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: I have stated the used method in the brackets

Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

A:

Q: Solve (xy + 4a²y)dy = √(xy-5a³ + ax - 5a²y)dx

A: