Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y – 3(y")? = 0 O y" y" = 3(y)'. O y"y + 6(y/") = 0 %3D O y'y + (y")³ = 0

Q: 8. Given the following information, sketch a continuous graph of r(x) as accurately as you can on…

A:

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. :- F(x) = (t + 8t – 4) at F(x)…

A:

Q: Indicate whether the given series converges or diverges. If it converges, find its sum. 00 cos kT…

A:

Q: 4. A live oak tree casts a shadow 58 feet long, Find the height of the tree if the angle of…

A: Here is the solution:

Q: Now, find the

A:

Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: e4z+1 dx e2r – 1 17.

A:

Q: For which value of x is the function f(x) = X - 4 undefined? 2х - 8 O.4 04 1/2

A:

Q: The table above gives values of f, f'. g and g' for selected vahues (A) -14 (В) -13 (C) -2 (D) 7 (E)…

A: We will use integration by parts and will take values from table to solve this.

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A:

Q: A mass attached to a vertical spring has position function given by 8(t) = 4 sin(4t) where t is…

A:

Q: Differential Equations Please answer as soon as possible, i'll upvote (a) Find a particular solution…

A:

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

A: Given : f(x,y,z)=9x2y+5z2   To Find : Conservative Vector field by finding it's gradient

Q: 1 2 3 4 f(x) f'(x) g(x) 4 1 2 3 2 4 2| 3 (x),6 2| 1 4 1 4 3 h'(4) if h(x) = f(x)•g(x) f(x) h'(4) if…

A: Our Aim is to find h'(4) with the help of table and three conditions given below:-(i)…

Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

A:

Q: Evaluate the directional derivative Duf (3, 4) if ƒ (x,y) = /æ² + y² and u is the unit V vector in…

A:

Q: dz and dy dz Suppose z is a function of x and y, and tan Vy² + x2 = 2"e®y_ Solve for

A:

Q: Differentiate x + y = e2x+2y A. 1 – 2e2x+2y 1+ 2e2x+2y y' В. -1 + 2e²x+2y 1 – 2e2x+2y y' | С. ||

A: Given query is to find the derivative of the expression.

Q: The volume V, in liters, of air in the lungs during a three-second respiratory cycle is approximated…

A:

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A:

Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: Which of the following DE has separable variables? O (xy? + x)dx + (x²y-y)dy=D0 O (x- y)dx+(3x+…

A:

Q: FOLLOW

A:

Q: Find the Area bounded by the given curves. 1. у %3 х2, у32х+3 2. х2 - у -1, х3у -3 3. у 3 х2, у-2-х2

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 9 cos(t)i + 7 sin(t)j +…

A:

Q: Evaluate the following Integrals: sin(4t) – 3 sin(2t)² dt 5 Vsech(4x) tan (4x) dx 1. 6. 7. sinh 3y…

A:

Q: Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

A:

Q: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

A: Given query is to find the derivative of the expression.

Q: Find the limit. (ti – 6j + r² k) lim t→4 lim (ti – 6j + r² k) = i+ j+ i i i k

A:

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: NOTE: Enter your answer in terms of i, j, and k. r(11):

A:

Q: f(x)=x tan x с.

A:

Q: Example:- Find the general solution of 1) xdy – ydx = 0 2) xcosh(y)dy – sinh (y) dx = 0 3)2dx –…

A: We need to find general solutions.

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

A:

Q: Find the length of the curve. 8) The spiral = e20, 0 s 0 s Ti r

A:

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Let's find.

Q: Find the length of the curve z(t) = e“ cos(t), y(t) = e“ sin(t) for 0<t<7. %3D Give an exact answer,…

A:

Q: -1 Su(u² + 3)! du

A: We need to solve integral.

Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

A:

Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

A: We can solve as follows

Q: The temperature in degrees centigrade (◦C) at each point (x, y) on a curve 2x + y = 3 is given by…

A:

Q: Determine convergence or divergence of the alternating series. 24) E (-1)n 6n5 + 5 n = 1

A:

Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1.…

A: To Find : Values of the given functions.

Q: A line is given by the equation y = x in rectangular coordinates. V3 Which of the following…

A:

Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

A:

Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: What type of DE is the following? xydx + (x2 – 3y)dy=0 O Bernoulli in x Bernoulli in y O Linear in x…

A:

Q: Find the derivative of the following:

A: The given functions are:a. fx=3x+tan2xb. y=cos32x.We need to find the derivative of the above…