What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x- 3)² = – 5y+10 (x – 3)² = 20y+ 60 © (x-3)² = 5y+ 15

Q: 3 Consider the following function f(x,y) = +y° + 2xy - 6x- 3y + 4 3 3 3, 2 The critical points are A...

A:

Q: The set B = {1+tť,-t+t,1-2t+t} is a basis for P2. Find the coordinate vector of p(t) =3- 3t + 8t rel...

A:

Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

A:

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the ...

A: As per our guideline we are supposed to answer 3 subparts of a question 

Q: Consider the following relation. y = -4x + 2 Step 1 of 2: Find four points contained in the inverse....

A: The four points contained in the inverse are

Q: dz If x4 – y4 + z - 3z = 2, then %3D %D dx a) 4x3-4y3 3-4z3 b) 4x3 3-4z3 c) None of these d) 4x3+4z3...

A:

Q: Implicit Differentiation webassign.net/web/Student/Assignment-Responses/last?dep=28727898 M Paused U...

A:

Q: CBook Pro (d) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notat...

A:

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

A:

Q: Suppose that x = x(t) and y = y(t) are both functions of t. If x2 + y2 = 25, and dx = 2 when x = 3 a...

A: Given that x=x(t) and y=y(t) are both functions of t . If  x2+y2=25           ..(1) Differentiate eq...

Q: Find the Taylor series centered at c = -1. 7 f(x): %D Зх — 2

A:

Q: The Normal component of the acceleration of a moving object in space at time t is given by aN + 1 If...

A: Explained below

Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2 ...

A:

Q: y=4^20 find dy/dx

A:

Q: A rock with a mass of 15 kilograms is put aboard an airplane in New York City and flown to Boston. H...

A:

Q: The vector describing a particular particle is given by F (t) = Rcos (wt) î + Rsin (wt) ĵ, where R a...

A:

Q: 1prove. tanx csc-tanX =cos x cscx Sinx tanx tcos ton tan(esc'x-1) s tanx (cot). Ein 2x tosX COSA cot...

A:

Q: 5x4÷5+1

A:

Q: Consider the following relation. S = {(10, 2), (–4, 6), (–7, –9), (3, –4)} %3D Step 1 of 2: Find the...

A:

Q: f(x) = In (1 – 8x) Choose the Maclaurin series.

A:

Q: lim 2x2 + 7x +5 X-> -I x+1 lim 16 (Titx -1) | Xー76 lim 2x 3-54 X-7 3 X2-9 lim スーフ4 Nin -(ニル) x2-16 4...

A:

Q: s the area of the shaded region equal to the area of unshaded shaded?

A: Yes, Area will be equal of shaded region and unshaded region.

Q: Find the solution to the initial-value problem. dy dx = y2ex sin(7x), y(0) = 1 y

A: We will solve the given differential equation as shown below

Q: Suppose that the graph below is the graph of f'(x), the derivative of a function f(x). Find the open...

A:

Q: Evaluate the following limits. 1. lim cos2x = %3D x X- 4

A: Given:    limx→π4cos2x

Q: et+1 g(æ) = x + 1

A: Given that gx=ex+1x+12To find : g'x Solution : gx=ex+1x+12g'x=2ex+1x+1ddxex+1x+1g'x=2ex+1x+1ex+1x+1-...

Q: 3. For the 2 curves xy = 9 and x = 81y, find angle between the two tangent lines at the point of int...

A: NOTE: Refresh your page if you can't see any equations. . the first curve is  . the second curve i...

Q: Find the area of the region that lies under the graph off over the given interval. Solve using LIMIT...

A:

Q: Let y(x) be the solution of y' = y − 6x such that y(2) = 2. Using a step size of 0.5, set y0 = y...

A:

Q: A. Evaluate the following limits. 1. lim cos2x = 4 2. lim tan3x 3. lim[log3 2x] %3D

A:

Q: 1. When is separation of variables applicable?

A: (1). . When is separation of variables applicable?

Q: 1094 26. A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has...

A: 26. initial temperature a = 425 F time t = 15 minutes final temperature y= 200 F    exponential func...

Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 9), y(0) = 0 y

A:

Q: - 3x 2 + (コメオリ)』 = e Jス

A: Given: - The differential equation is, xdydx+(3x+1)y=e-3x To solve: - The solution of the given equa...

Q: The maximum rate of change of the function f(x, y, z) = xyz at the point (1, 2, 3) occurs in the dir...

A: In this question we have to find the correct answer.

Q: Question 2. Prove g*g"t" is not regular.

A:

Q: If f(a)= 3x3-X, find the values Of X for which f'(k)=0

A: Given f(x)= 3x³-x So, f'(x)= 9x²-1

Q: хр %3D хр if y = In(7x2 + 6y?). Ap %3D Find seng OM

A:

Q: 1. Given y = log3 9. The value of y= 2 2. If log(x + 2) = 4, then the value of z is 9998 3. If log, ...

A:

Q: If a country experiences a doubling time of 45 years with a growth rate of 1.5%, then we can infer a...

A:

Q: Use separation of variables to find the general implicit solution to the differential equation. 9  d...

A:

Q: . Complete the analysis for and sketch the graph of the function f(x)= 2x2 -3x-14 ÷ x2-2x-15 . Use ...

A:

Q: Write each of the following in Sigma notation: 1 7. 1 1 1 1 6. 3 + 6 + 9 + 12 + 15 1?* 2* 32

A: Given query is to write the sequence in Sigma notation.

Q: The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventua...

A:

Q: 2. For f(x) = 28/3 – 4r/3, find a). the domain, b). f', critical points, | c). the local maxima and ...

A: Take f'(x) =0 for critical prints.  According to guidelines we solve only first three parts  

Q: Find the general solution to the differential equation. y' = eyx6 y =

A: Given :y'=eyx6

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: Given: sing = and cos x = -; evaluate the following expression. (A: Quadrant I, x : Quadrant II.) si...

A: Multiple angles

Q: a dV E where E is bounded by the cylinder a? + y? = 9, 0 0.

A:

Q: 213 + 4x² + 7x – 6 dx - 1. xª – 3x² – 4

A: ∫dx/(x-a)= ln(x-a) ∫dx/(x²+1)= arctan(x) ∫xdx/(x²+1)= (ln(x²+1))/2   Let I =  ∫ (2x³+4x²+7x-6)/(x⁴-...