On Melissa's 6th birthday, she gets a $4000 CD that earns 3% interest, compounded semiannually. If the CD matures on her 11th birthday, how much money will be available? The amount available will be $ (Simplify your answer. Round to the nearest cent.)

Q: Given the area of the region enclosed by y = 2 – x´ and y =-x, identify the integral that represents…

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Q: Solve the following equation -1 cos 2.x + sin-1 X = 3

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Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

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Q: Find the area, if it is finite, of the region under the graph of y = 14x° over [0,00). Select the…

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Q: x =r +1, y=r -t b) Find d'y dx2

A: x = t3+1differntiating w.r.t. variable t;dxdt=3t2+0dxdt=3t2   ....(1)y = t2-tdifferentiating w.r.t…

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

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Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 --->1dtdx=12t-4…

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Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: 1-coskx 2. lim kx = 0.

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Q: The critical point of the function f(x) = x³ – x? + 2x - 23 is (3,2) (금, -2) (음, -2) (금,2) |

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Q: Use the graph to identify the points on the interval (a,b] at which local and absolute extreme…

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Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

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Q: Select the answer option that corresponds with polar coordinates (3, 7). 90° 2 45° TI -7 radians…

A: Given query is to find the correct option for the cordinate.

Q: 4. (i) Use the parametric equations of an ellipse, z = a cos (t) , y = bsin (t), 0 < t< 2r, to find…

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Q: (3c) Let n E Z. Prove that if n is odd, then 4|(n² – 1)

A: here is the proof

Q: Describe the transformation of g (x) = 2f (2x +1)-1. O a) A vertical stretch by a factor of 2, a…

A: The transformation of function f(x): f (x) + b shifts the function b units upward. f (x) − b shifts…

Q: Convert the Cartesian coordinates (2, -2) to polar coordinates. (2√2, 300°) (2√2, 315°) (2√2, 330°)

A: To convert the given point from Cartesian to polar coordinates.

Q: x In y dy dx -1J

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Q: Find an equation of the tangent plane to the surface z = læ? + 2y² + 2x + 1y +3 at the point (2, 4,…

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: Find the critical points of the following function. 1 Inx f(x) =

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Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x - 3 over the closed region…

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Q: Select the answer option that corresponds with polar coordinates (4,-120\degree). 90° 2 W/2 150° 45…

A: Option

Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

A: Slope of tangent

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Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: C) = ("; ')-,",) + Q1. Show that :

A: We have to prove the given expression.

Q: Direction: Find the derivative of each of the following functions. Write your solutions on a…

A: We have to find the derivative

Q: Evaluate

A: As per the guidelines we can solve 3 parts only only. Please repost the same for more answers.

Q: Given D (4, 2) = 5, frz (4, 2) = -8, we know that (4,2) is a minimum we cannot tell maximum saddle…

A: Note :

Q: Find the equation of the plane that passes through the point (2, 1, 1) and is tangent to the surface…

A: We have to find the equation of the tangent plane.

Q: Please, solve 1(d) & (e), 2 only

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Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: Assume the annual rate of change in the national debt of a country (in billions of dollars per year)…

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: y = sin(x), y = 2x

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Q: 3. Compute ahi-fin Lireh-fi for the following functions: and lim h40 a. f (x) = sin x

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Q: x²+6x , |2x-4 , x<a Find all values of a such that the function, g(x)= is continuous xz a…

A: g(x) is continuous everywhere if it is continuous at x=a as…

Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

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

Q: Scot'x csc'xdx 4.

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Q: ng integrals. 25

A: We have to evaluate of the given indefinite integral

Q: 3. Evaluate the following integrals: cos e G = de J (1 + sin 8) vsin 0

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Q: y= (x-p)(x-r) and p+r=2. Find the x coordinate of the vertex of the parabola. O a. -1 O b. None O c.…

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Q: Find the intervals on which f is increasing and decreasing. f(x) = - cos 2x on [-1,1]

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Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1

Q: Find the volume of the solid that results when the region enclosed by 7x 0, х — 8, and Y : 0 is…

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Q: | (3y + e?v=) dx + (4x + 4 cos (y°)) dy. Use Green's Thoerem to evaluate the line integral x² and x…

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Q: Convert a = 60o to a Car Oy = x/2 Ox = V3y Oy= V3x

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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