How long (in years) will it take a $900 investment to be worth $1000 if it is continuously compounded at 8% per year? (Give the answer to two decimal places.)

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

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Q: 1. Consider the region bounded by y = x and y = vVa, shown below. Find the volume of the solid obtai...

A: Volume=13π15 cubic units

Q: A ball of radius 1 is contained in a right circular cone. Find the snallest possible surtace area of...

A: Given : A right circular cone with :radius=r , and height=hA ball of radius=1 kept inside the cone.A...

Q: A function f(x) has derivative f'(x)= 3x²+ 18x. The graph of f has an x- intercept at x = -1. Find f...

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Q: 15 2 3 4 5 6 -2 -3 -4 The graph above is a transformation of the function x? Write an equation for t...

A: Let f(x) =ax2 +bx+c and passing points are               (-2, 2), (-1, 4), (-3, 4)  and find values ...

Q: 2. Answer C/DC a. lim f(x) x2 b. lim f(x) X-2+ c. lim f(x) -3 -2 -1 -1 X-2 d. lim f(x) -2 X-5 -3 e. ...

A: limx→a f(x)=L if and only if limx→a+ f(x)= L=limx→a- f(x).

Q: Sove the differential equations (2y- 2x + X 1+ x²yz

A: Check given differential equation is exact or not. i.e.    My = Nx

Q: 158% This parabola would have a general equation: g(x) = ax? + bx +c for some value a, b, c. Do hot ...

A: Apply integration rules

Q: valuate and solve the linear differential equation (D5 - 15D3 + 10D2 + 60D - 72) y = 0

A: Given: (D5 - 15D3 + 10D2 + 60D - 72) y = 0

Q: not 2022-02-20 5.44.12 PM.png Discard edits Save Find the time required for an object to cool from 3...

A: Use integration formula

Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: Consider the equation below. x2 + y2 - 2x - 8y – z + 17 = 0 Reduce the equation to one of the standa...

A: Reduce the equation of the standard form. And sketch the surface.

Q: Evaluate the integral i. (1 – x2 – y?)dA - Where R is one-unit circle on the xy-plane.

A: Note:- These are multiple questions and according to our company law i can do maximum one question. ...

Q: Solve the following initial value problem: (1+x²)y/ – 2xy = (1+x²)², y(1) = 6. %3D |

A: Given:     1+x2y'-2xy=1+x22             ,           y1=6

Q: For items 20-24, consider the following data set which shows the time recorded, in seconds, it took ...

A: The data of 10 participants are given here.

Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then use the second d...

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Q: Let z(x, y) = xy where x = r cos( 40) & y = r sin(0). dy dx ar dy dz Calculate ar dz by first findin...

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

Q: Find an equation of the plane. the plane through the point (9, 2, 5) and with normal vector 3i + 5j ...

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Q: Regarding y as the independent variable and æ as the dependent variable, find the slope of the tange...

A: We can find the slope at the indicated point as below

Q: Evaluate the definite integral. 3 2esin ( z ) cos(x)dx 3

A: Given that: ∫0π32esinx.cosxdx

Q: QUESTION 5 lim f(x.y). Find (K)- (0,0) Let f(x.y)= O b.1 OC. -1 O d.1/2 e. Does not exist.

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Q: What was the most important thing you learned during the class discussion?  Reflection about  Integ...

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

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Q: It refers to the process of finding the derivative of a function. a. differentiation 9. b. integrati...

A: Given questions: 9. It refers to the process of finding the derivation of a function.    a)  Differe...

Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

A:

Q: QUESTION 3 ху Let f(x.y)= x2+y lim f(x.y) along the path y=mx. for any constant m. Find (K.y)- (0,0)...

A: (3). f(x,y)=xy3x2+y6

Q: 2. 4)Evaluate Na89-x²

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Q: 8:43 B O O * all all 73%t cln 10 Evaluate In 8 -dx et – 5

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of ...

A: Given:     f(x) = x2+2       Interval : 0≤ x ≤ 5       Rotated about x = 5 

Q: Sove the differential equations ( 6x-3y+2) dx = (2x-y-1)dy when x=2, y xp z+ he-x9)

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Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

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Q: Find the general solution to / + (xy)² = y²e%* .

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the optimal Solution by 2. Two-Phase method MAX Z = 5x1 + 9x2 - 18x3 subject to 5x1 + 16x2 + 5x...

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Q: C. MULTIPLE CHOICE. Write the letter of the correct answer. 1) Which of the following is a critical ...

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Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) =x² - 5xy + 6y...

A: Given that: f(x, y)=x2-5xy+6y2+3x-9y+8

Q: Evaluate the following definite integral. sec2 dt /14

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Q: homogenous DE 3udv-vdv-udu-vdu=0

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Q: Зx2 + x + 31 Вх + С + x2 +9 A (x + 4)(x² + 9) x + 4 A = B = С - Now evaluate the indefinite integral...

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Q: Two ships leave the same port at noon. Ship A sails north at 17 mph, and ship B sails east at 10 mph...

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Q: Find the solution for Bernoulli equation below. dy y ху? dx

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Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: The function f(x, y) = 4 corresponds to x² + y² plot [ Select ]

A: Given that: f(x, y)=4x2+y2

Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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Q: Evaluate f5(x?e-2a*+1 + 3)dx

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Q: A tank contains 4,000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped...

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Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: 3 a (a) In 64cl (b) In V/bªc²a! 2

A: Given that: lna=2, lnb=3, lnc=5.(a)lna3b4c1(b)lnb4c2a(c)ln(a3b4)ln(bc)1       NOTE: As per our answe...

Q: The equation of the curve is y² = x³ + 9x. Find the x-coordinates where tangent lines are vertical. ...

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Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: – 4 a (a) In 6-4c-1 (b) In Vb°c'a 'c...

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Q: Find an equation of the tangent line to the curve at the given point. x? + sin (y) xy + 4, (2,0) (Ex...

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