You deposit $1500 in an account with 5% annual compound interest. Complete the following, assuming you make no additional deposits or withdrawals. How much money will be in the account 12 years from now? There will be $ (Round to nearest cent.)

Q: Find dy/dx, if y= (3+cos x) ^(2x+1)

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Q: 5.) Simplify. Write "undefined" for expressions that are undefined. -2 -3 THE -6 -3 M

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Q: Q) choose one only 1) If y = (x − a)√2ax − x² + a² sin-¹(*), then y' = 2√/2ax-x² a a is constant. 2)…

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Q: Please

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Q: A driver drove 50 miles in 50 minutes. How many miles per hour was he driving?

A: We have to find how miles cover in 1 hour .

Q: 6. I. Evaluate each determinant. тут 3-3 4 1 -5 0 -1 -4

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Q: ГО 0 01 = 0 1 4 Lo 2 3] a) Find the eigenvalues of A. b) Find a nonsingular matrix P and a diagonal…

A: A=000014023characterstic polynomial of A =|A-λI|eigenvalues of A=|A-λI|=0eigenvector of A…

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A: To solve the given differential equation.

Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

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Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: In spherical coordinates, the integral equivalent to None of these. 2πT π/2 2 S 6,²¹² 6² p² sin…

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Q: Answer correctly, comprehensively, and neatly. Thank you. A vertical liquid storage tank shaped like…

A: A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high.…

Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

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Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: Which of the following are parametric equations for the entire unit circle? Choose all that apply.…

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Q: д 1 Option 1 Option 3 1 1+ 3x2 2√3 9 2 3 3 dx Option 2 Option 4 √3л 9 √3л 3

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Q: 3. A rope hangs in the form y = 40 cosh. Find (a) the value of y when x = 25, and (b) the value of x…

A: It is given that, y=40 coshx40 We need to find the value of y when x=25 and the value of x when…

Q: 12. Find the equation of the tangent line to the polar curve r = 2-sin(0) at 0 = 1/3. Draw.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: West Z dt x North JOAN dx dt ANDRES = 25km/hr dy dt y 18km/hr

A: Given: Speed of Andres  = 18 km/hr Speed of Joan  = 25 km/hr

Q: Set up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: Find the length of the shortest ladder that can extend from a vertical wall, over a fence 2 m high…

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Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

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Q: 1) If y = (x − a)√2ax - x² + a² sin−¹(*—ª),t ), then y'= 2√2ax-x² a is constant.

A: As per instructions, Here is the answer of question 1

Q: The population of a city is 150,000. The city declines continuously by 4% per year. ... If this…

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Q: Charles plots the point with the polar coordinates (-5,-). How does he plot this point? Drag a value…

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Q: The function √x² + 2x is equal to (x + 1)² + 1 Option 1 √(x + 1)² - 1 Option 2

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Q: With a curve 56 3 17 x² + y = 6, y = x, y = -2 and x = -2. . Determine its area.

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Q: 2. If g(x)=√√3-x and f(x) = x³ +1 evaluate the following: gof(-1) b. (g-f)(2)

A: Given, g(x)=3-xf(x)=x3+1

Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

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Q: Find the area of are a the region i) Sketch the ii) Determine the boundarien iii.) set-up the…

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Q: 3. I. Evaluate each determinant. -1 5 3 2 3

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Q: For the rose r = 4 sin(20) and circle r = 2 shown in the figure. Find the area inside the rose and…

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Q: 4. [7.4 & 7.5] If... a = i +3j - 2k, and b=i-3j-k, and c=2i+j-k, then... a) Determine (ā- 2b) b)…

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Q: family

A: Please refer to the image below

Q: 1-√3-x 4. lim. x→2 4-x²

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Q: Use a double integral to find the area inside one leaf of r=3sin2*theta

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Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A: Equation of the line :         y-y1 = m (x-x1) ; where , 'm' is the slope of the line .

Q: If u = 0 (and neither of them are zero vectors), then the two vectors are orthogonal (perpendicular)…

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Q: Find the general and Singular Solution o the Following differential equation yLny = xyP+ P²

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Q: You are tasked with designing a cylindrical can. The material for the top and bottom of the can…

A: This question can be solved using the concept of maxima and minima.

Q: A rectangular metal tank with an open top is to hold 864 cubic feet of liquid. What are the…

A: SOLUTION-

Q: The population of a city is 145,000. It declines continuously by 3% per year. ..... Assuming this…

A: Solution-

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Q: Consider the function f(x) = 7x² - 6x² - 6. Identify the locations where f has transition points,…

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Q: Je(ye-1) dr+e dy, where C' is the semicircle through (0, -10), (10,0), and (0, 10). (Compare Problem…

A: Using green theorem, value is evaluated.

Q: What is the exact value of sin(255°) +sin(195°)?

A: find value of  sin(255) +sin(195) here this is trigonometric function  lets find value of this

Q: Evaluate the following limit lim (3¹6) (²-√²+₂) Ꮳ X-4 -64 Show all your work. Warning: You will get…

A: Limits

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

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