4 3 2 1 -2 -i -1 -2 -3 What is the equation in general form of the hyperbola whose graph is given above? A 4x2 - 9y? + 32x + 1By + 91=0 4x² - 9y² + 32x + 18y+ 19-0 9x2 -4y2 + 72 x + By + 104 -0 9x2 - 4y? + 72x + By + 176 -0

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: Find y' and y''. y = lnx + (7+x^2)^1/2

A: We can find y' and y'' as below

Q: Complete

A: Please refer to the image below

Q: The trough shown below is full of water. How much work does it take to pump all of the water out of ...

A: This question can be solved by applying the concept of  Work done=∫F.ds

Q: A common complaint about income tax is "I can't afford to work more because it will put me in a high...

A: Answer to given problem is shown below - 

Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: хр %3D S + X хр Find at (-7, 1) if xy: %3D (Rou

A: We have to find dy/dx   at (-7, 1) 

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: A particle moving along a curve in the xy-plane has position (x(t), y(t)), at time t > 0 where v(t) ...

A: solution:-v(t)=-2ln(t2+8), -10e-8tcos5tat t=5v(0)=-2ln(52+8), -10e-85cos55       =-2ln33, -10e-40cos...

Q: Consider the following functions. f(x) = x and g(x) = x² – 10 %3D | Step 3 of 4: Find (fg)(-2). Answ...

A:

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

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: Find all the values of x such that the given series would converge. (x – 9)" 92 Answer: Note: Give y...

A: Given:     Limit is given

Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in simplifie...

A:

Q: Partial fraction decomposition 1. x^3-2x=A(x-1)(x^2+1)+B(x^2+1)+(Cx+D)(x-1)^2 . If I know that B= -...

A: Given

Q: 8) y=-1 +2cos 0 3 37 37C 2 2.

A: Given query is to graph the function.

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

A:

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

A:

Q: Activity 3) Calculate mentally using compatible numbers, special factors & properties. Show all work...

A:

Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: Consider the integral 16–z² x? dz dy dx x²+y²

A:

Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you no...

A: Taylor polynomial

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x? + xy + y + 5...

A:

Q: Find S1, S3, and S6 for each problem below 1. . -1, 3, -5, 7, -9, ... 2. . 4, 7, 10, 13, 16, ...

A:

Q: 2. Find the y" of * y = 3-2x 3x+5

A:

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 polynomial function f(x) is graphed below. Fill in the form below regarding the features of this...

A: Graph

Q: 2- 1l71 2 3 4 5 6 7 ++ 89 -1 -2 -3 -4 -5 -7 -8 What is the equation in general form of the ellipse w...

A:

Q: Consider the following functions. f(x) = x and g(x) = x2 – 10 Step 4 of 4; Find -(-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: For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) = v...

A: Equation of tangent line

Q: The trapezoidal dam shown in the picture is holding back water which rises 3. to 1 m below the top. ...

A:

Q: The critical points of the function f (x, y) = 1 – x² + 6x – y + 8y2 are - O a) (3,0) and (-3,0) O b...

A:

Q: 3x -Sx+4 3-3

A:    limx→∞ 3x4-5x+43x3-3=limx→∞ 3x-5x2+4x33-3x3=limx→∞ 3x-5x2+4x3limx→∞ 3-3x3=∞ 3=∞

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 4 += +- ...

A: Check series convergent or divergent. By using comparision test.

Q: Find the first five terms of these recursively-defined sequences: 9. a1 = 2, an = 2an-1 - 5

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 11, f'(0) = –4, f"(0) = 2, ...

A: Solution is here

Q: use the rules of differentiation to find an equation of the tangent line to the graph y=x^3+x at the...

A: Given query is to find the equation of the tangent on the given point.

Q: Find the arc length of the space curve given by the vector function t3 i + t2 j + (2t + 1) k from th...

A:

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

A:

Q: The graph of the equation 2x² + 3y² + 12x – 12y + F = 0 is ether an ellipse, a point or an empty set...

A: In this question we have to find the condition for F.

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: Find the relative extrema of f|S in Exercises 8 to 11. 8. f: R² → R, (x, y) → x² + y?, S = {(x, 2) |...

A: Given that: f:ℝ2→ℝ, x,y↦x2+y2, S=x,2 | x∈ℝ. We have  to find the relative extrema of f|S.  

Q: 3. Find the dy/dx of * y? + 2x – 3y = 0

A: The given function,         y2+2x-3y=0

Q: Find the area inside the circle r = 7 and outside r = 7+7sin 0. NOTE: Enter the exact answer, or rou...

A:

Q: Determine whether the series is convergent or divergent. n - 1 5n - 1 n = 1 convergent divergent If ...

A: Given:    Limit equations is given

Q: 2x-x xp - (r-1)° (x²+1) -0-

A: Given ∫-∞0 2x-x3x-12x2+1 dx                         =-∫-∞0x3-2xx-12x2+1dx ........................(i...

Q: Find the length of the curve over the given interval. r = 12 on the interval 0 ≤ ? ≤ pi/2

A:

Q: Thu Mar 10 7:15 Window Help View Bookmarks Profiles Tab rome File Edit History Implicit Different X ...

A: Given function f(x)=(x+1)(x-1)2

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: