Differential equation: Families of Curves * w/ complete solution and sketch. Obtain the differential equation of the family of plane curves described below and sketch several representative members of the family 1.) straight lines whose slope and x-intercept are equal

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: Evaluate the integral by making the appropriate substitution: u = f2¹ (25 - 4) 43³dz = dx 43 fz¹ª…

A: To evaluate the integral.

Q: A tank is full of water. Find the work W required to pump the water out of the spout. Use the fact…

A:

Q: Inverse Laplace transform of 2S-5 2 + is s²+16 F(s) = f(t) = 2cos(4t)-5sin(4t)+t² دی Select one: O…

A:

Q: Suppose the graph below has the formy - Asin(Bx) + C. 2505042 Ов 15 10 Find the value of B. OB = 1…

A: We have to solve given Questions.

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: nth derivative of f(x) = 5º? Assume n is a positive integer. What is the n

A:

Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: 27) Suppose y = f(x) and y = g(x) are continuous functions which intersect at x = 1, x = 4 and x = 7…

A:

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

A:

Q: en the graph below, solve the following inequality: g(r) > 0 +10 + 80 9 8 7 -8-7-6-5-4-3 54 6543 2…

A: Given query is to solve the inequality.

Q: (a) Find the velocity v (t) - |a| (b) Find the acceleration function. 71 sin (a) e7 [7 sin(81) + 8…

A:

Q: Enter the equation of the parabola graphed below, using the vertex form y = a (x-h)² + k -5 -4 -3 -1

A:

Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

A:

Q: Find the area bounded by the line f(x) = 2x + 15, the curve g(x) = x² − 4x + 20, and the two…

A:

Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: Is the function T(s) = (6s-4) (es-5) a power function? If so, identify k and p such that T(s) = ks².…

A: The given function is:T(s)=6s-4es-5

Q: Solve the problem. 1 -3 0 13 Let A = -4 0 2 and b= 14 4 5-4 -45 Define a transformation T: R³ -> R³…

A: We can solve this as follows:

Q: Question 2 ( value problem y" +9y = 5 sin 2t, y(0) = 0, y' (0) = 2. , Consider the initial- (a) Use…

A: To find the solution.

Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

A: NOTE: Refresh your page if you can't see any equations. . take inverse Laplace

Q: Find a "cartesian" equation for the circle which is given by the polar equation r = 2 sin 0, and…

A: Given query is to find the Cartesian equation and the centre of the circle.

Q: uestion 1: For the graph of the circle below whose equation is of the form (x-h)²+(y-k)² = r2, enter…

A:

Q: Find the area of the region bounded by the given curves. (6,12) LY

A: The graph of the function is given  We have to find the area of the region .

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x7, y =…

A:

Q: 28-30) Given f(x) = 2x + 3 and g(x) = 3x + 5 28. If P(x) = f g then P' (2) = 29. If D(x) = then…

A:

Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

A:

Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: (n^ + n)(n^ − n) = (n)H = H'(u) = Differentiate.

A:

Q: (b) n=1 3 2n-1

A:

Q: Assume 0<x< Use logarithmic differentiation to find O (sin z)(zcot 2 + ]n(sin z)) O (sin x) (x cos x…

A: To find the differentiation of given function.

Q: Find the values of sin(0), cos(0), and tan(0) at the given points on the unit circles in the figure…

A:

Q: 4 Let f(x) = 2 - 1 and g(x) = 7 O O 7(x - 1) 4x O 7 4- +² O 7x² 4x - x³ 07x - 1 4 7x 4- x² + Find…

A: Given query is to find indicated function.

Q: Evaluate the indefinite integral f7 sin 7 sinº t cos tdt = Submit Question Jump to Answer

A:

Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

A:

Q: 5. Consider the polynomial graphed to the side. Answer the following questions using that function.…

A: We need to interpret the graph.

Q: What is [cs csc x cotx tan(csc x) dx?? O In cos a C + O None of these. O ln sec(csc x)| + C O ln cos…

A:

Q: Find f such that f'(x) = 8x² + 7x-7 and f(0) = 2. f(x) =

A: Given query is to find indicated function m

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

A:

Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: Given the graph below, solve the following inequality: k(v) ≥ 0 Họ tan 9 8 7 6 5 -10-9-8-7-6-5-4-3 4…

A: To solve the given inequality

Q: Differentiate the function. g(t) = 9t + 8t² g'(t) = 9+16x X

A: given  g(t)=9t+8t2we know  dtndt=ntn-1g'(t)=d(g(t))dt

Q: 18 Suppose c is directly proportional to the square of d. If c when d = 3, find the constant of…

A: given that , c is directly proportional to the square of d ⇒ c α d2⇒c = k d2 ................(1)…

Q: Find dy/dx by implicit differentiation. 7x²y + 4y²x = -1 dy/dx =

A: Given query is to find derivative.

Q: 1) Let an = 3+2(n-1). Write the first 5 terms of an. Find Σ10% ακ k=1

A:

Q: Evaluate the integral by making the appropriate substitution: u = dx (6x +4)³ 11 Submit Question…

A: Given query is to find Indicated integral