Find an equation for the e Foci: F(±2, 0), ver

Q: а dx (x² + y?)

A:

Q: Suppose that y = d(t) represents the distance that an object travels in time t. What does Ad…

A: Consider the Distance- time graph,

Q: e) = f

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by (d-e)

Q: Find the value of V®dx 0.

A:

Q: Integrate the function by using trigonometric substitution. dx, x < 2

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Q: S tan5x dx X,

A:

Q: If y = cos x, how many periods will there be between -47T and 27 ?

A: Given function is y=cos x It has a period of 2π

Q: find dx/dy for the folloing function  y=sec⁴x _ tan ⁴x

A: Explanation of the solution is given below...

Q: Find how far an airplane will move in landing, if int seconds after touching the ground its speed in…

A: v=180-18tv=0 when t=10

Q: dy at the point (1,2). dx If x + xy + y =7, find the value of

A:

Q: √ ¹ (1+√x)3 √x - dx

A:

Q: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, -1).

A:

Q: Find for x2 +y? = 169 at the point dx %3D (-5, 12).

A:

Q: Find the solution of the given equation y'''+y'=tanx using Variation of Parameters

A:

Q: Determine the value of- dy - at (0,0) for the following expression: 3x² +2y = 3x – 2y dx 10.

A:

Q: Q2: Gives the values of sinhx, coshx ,and find the values of the remaining five hyperbolic…

A: Since, we sinh(x)=43Since, we know that cosh2 (x)-sinh2 (x)=1⇒cosh2 (x)-169=1⇒cosh2 (x)=169+1⇒cosh2…

Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

A:

Q: If f(x) = 7x? arctan(8), find f'(x).

A: TO FIND: f'(x)

Q: Identify f(x) to be used in variation of parameters to solve for y, e" y" + y' – 3y = x

A: To find f(x) write equation in form of y" + P y' +Q y = f(x).

Q: Show that -a²x² dx = VT/2a, a > 0, I = e by noting that I = -a²(x²+y³), dx dy -a²r², r dr d0. e

A: We need to show thatI=∫0∞e-a2x2dx=π2a,      a&gt;0

Q: Find dy/dx for the equation and explain steps briefly using chain rule.   tan(7x2)= 32y+y5e6x

A:

Q: If f(y) = log, (sec(y)), find f'(y). Use exact values. =

A: If F = (fgx then F' =fgx' =f'(g(x)).g'(x).

Q: Find dy/dx for this equation, 384=(x+2)3/4(y+3)1/3.

A: We have , 384=(x+2)3/4(y+3)1/3 Cubing both sides

Q: Find dy/dx for the equation and explain steps briefly.  tan(7x2)= 32y+y5e6x

A: solve the following

Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

A:

Q: Dp

A:

Q: Clategrade)- dv ノンコォス

A: ∫dvv2+cv+1

Q: y = sec?(x), 0s

A: The given curve is- y=sec2(x)  , 0≤x≤π4 We need to use a graph to find a rough estimate of the area…

Q: + 2y = 1- x>0 dx

A:

Q: The Trapezoidal rule applied to f fx) dx gives the value 4, and Simpson's rule gives the value 2.…

A:

Q: Q5 A) Find IF y = cost and x = sint dx at P(1.2)

A: The solution is given in the next step.

Q: Find the values of a that make: ja- |(x– 2)dx = 6

A: Answer

Q: Solve the equation for exact Solutions over the in ter val L0,2TJ 2anx =sinx

A:

Q: Q3/ By using definition, proof that cot x = dx csc2 x.

A:

Q: If f(y) tan (2y'), find f'(y). Use exact values. f'(y) =

A:

Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: dy Use the Chain Rule to calculate dx y= tan (3x2) Select the correct choice below and fill in the…

A: take derivative use the chain rule

Q: Which is an equation of y=sin(x) shifted up π units?

A: Solution:

Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: find the root of equation by using fixed f(x) = x2 + 2x+ 5 x, 1.5 E= 0..009

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Q: Find the indicated derivative. dp for p da q2 + 2 49 - 3 dp dq

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Q: Find the value of dy/dx if x = t2/(5+t)  and y= sqrt (5+t2)

A:

Q: Calculate f'(1), where f(x) = arcsin(x 2)

A: given, fx=arcsin2x now differentiate given function f'x=21-4x2

Q: Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

A:

Q: f(x) = e=*(x² – 5x + 2)

A:

Q: Use variation of parameters to solve csc(t) y = et. sec(t).

A: Given: Let us consider the given y=12-121y+csctsectet and solve by using a variation of parameters.

Q: (a) Use S(f) to estimate |sin e" dr.

A:

Q: equation in just x and y dx at t = T/3.

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If x= Arctant3, y=1+16, find the value of a if 2ay" 17 when =2.

A: Given query is to find the value of a.

Q: Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of x

A:

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.