How to calculate this? What is the future value of $1966 that you have today, in 14 years, assuming a discount rate of 4.2% and quarterly compounding?

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A: We have to find out derivative

Q: B. A discrete random variable X has the lollowing probability distribution: 1 1 2 P(X) y 9. 9. 1. Fi...

A: use the basic  property of probability 

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A: topic - functions and derivatives

Q: Find dx | cos (P) dt y = dx I3D

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule 

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A: Plane

Q: Use the implicit differentiation to find dy/dx for (e^x)y + tan(xy) - 5 = 0

A: Given that        (ex)y + tan(xy) - 5 = 0 

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Q: Given cost and price (demand) functions C(q) = 100q + 43,000 and p(q) = - 2q + 880, what profit can ...

A: Given :cost price (demand) functions C(q)=100q+43000 andp(q)=-2q+880, company earn by selling 50 ite...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Find the set of solutions for the linear system + 3x2 3x3 -10 %3D X1 X2 4x3 -3 4x3 -8 Use s1, s2, et...

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Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

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Q: 5. Find the Curvature of ř (t) = L", Int,tInt) at the point (1,0.0)

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Q: Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly...

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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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Q: Write a chain rule formula for the following derivative. for w = f(p, q); p = g(x, y), q = h(x, y) O...

A: We have to find the derivative

Q: Verify: cos? x tan? x- 1 1. -1 cos2 x

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Q: Find the derivative of the function. y = x*V25 - x²

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Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

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Q: 4. State the domain and range of the following functions. a) у%3D 5х —4 b) y= Vx-x c) ((x,y)ly = vx²...

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Q: Given Cost and Price (demand) functions C(q) = 110q + 40000 and p(q) = -2.5q + 950, what profit can ...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  the demand function...

Q: Find dy by implicit differentiation. dx x³ + y3 + 2y - 8 = 0 dy dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)...

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Q: Find the set of solutions for the linear system X1 + 3x2 3x3 -10 X2 4x3 -3 4x3 -8 - Use s1, s2, etc....

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Q: Let z= f(x,y) = ln(x^2 +y^3), x=se^t sin(s), y= se^tcos(t). find \partial z / \partial s and find \...

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

Q: — 3 6 -4х + 10у 2x – 5y = 3

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Q: Find the critical points of the following. 1. g(w)=2w3−7w2−3w−2

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Q: ifx 1

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Q: x3+2` dx x2 x3

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Q: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

A: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

Q: Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate ...

A: Let ,Time = t P = $7,000 Rate = 7% = 0.07 P'(t) = dP/dt (a) Write a first-order linear differential ...

Q: 27 Given Cost and Revenue functions C(q) = q° - 10q +56q + 5000 and R(q) = - 3q + 2600q, what is the...

A: Let's find. 

Q: Determine the general solution for each given higher order differential equation or particular solut...

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Q: On the grid below: a) Graph & label each and all transformations using different colour pens of g(x)...

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Q: For f(x, y) = 2x3 + x²y? – 5ya + 10, Find fgi Find fax: Find fxy

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Q: 2t es the given condition; r' (t) =i+ te-t"j - =k;r(0) = i %3D t2+1 Vt2+4

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Q: The population of a city is 140,000. The city declines continuously by 4% per year. If this trend co...

A: Given that the population of a city is 140,000. The city declines 

Q: du If u = x²y + y²z + z?x then at (1,1,0) is ax %3D -

A: Given that u=x2y+y2z+z2xTo find :∂u∂x  at 1,1,0Solution :u=x2y+y2z+z2x∂u∂x=2xy+0+z2∂u∂x=2xy+z2

Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: Find a unit vector u in the direction opposite of (-8,-4, -9). u =

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Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? O x ...

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Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers ...

A: The given function is  f(x)=9-xif x≤9x-9if x>9

Q: If g = 1110°, simplify the expression sin- (sin g). If undefined, enter Ø. Provide your answer below...

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Q: Express the composition W (x) in the form f • g • h. W (x) = - 7 х — 7

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Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: 19. Differentiate the following functions. e) f(z) = z? cos 2z + z sin (z?) f) y = In ( sec 2x + tan...

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Q: (6) Find the volume of the solid obtained by revolving the region between y = y = e¬¤ for 0 <x < ÷ a...

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