An investor purchased a 93-day, Government of Canada T-bill that had a simple interest rate of 4.50% p.a. and face value of $100,000. Calculate the price he paid for the T-bill.

Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -7 In(z) = n = 0, ±1, ±2,…

A: This question is related to complex functions, we will solve it using given information.

Q: Q / find Y = ду d x е их e sinx X COSX

A: Given y=e4x sinxx cosxTo find dydx:

Q: 1 (2x-3)4 4. S dx

A: Follow the procedure given below.

Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -5 + 5/ In(z) = n = 0, ±1,…

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Q: It is estimated that t years from now the population of a city will be P(t) = 20(60 + 3)² - 1100t.…

A: The population of the city after t years from now is given by, P(t) = 20(60+3t)2 - 1100t

Q: Evaluate the integral O 03/20 Ⓒ100 C 87² dx using the two-point Gaussian quadrature rule. 1+16z4

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Q: point of observation a airpalne X h = 5000 m

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Q: 38. The polar equation of the curve is expressed as r = 2sin 0 + 2cose. Compute the perimeter of the…

A: I am attaching image so that you understand each and every step.

Q: Domain: [-00,00]; Range : [1] Domain: [1]; Range: [1] option 2 O Option 4 O ? The domain and range…

A: Domain : The domain of a function is the set of numbers x for which the function f(x) is defined…

Q: 1. A golf ball has a diameter of 2.1 inches. The company is looking to fill the inside of it with…

A:

Q: Solve the following integral step by step 4x² + 3x - 1 -dx x²(x - 1)

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Q: U (d) Let t ==; V at u = x² - y², v = 4xy³. Find- and Əx dy

A: According to our guideline we can only answer first question and rest can be reposted.

Q: 55. The region in the first quadrant, which is bounded by the curve y² = 4x, and the line x = 4, is…

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Q: Evaluate the trigonometric function below from x = 1 up to x = 5. S(sin√T sin √x) dx √x

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Q: Find the total a.f(x, y) = ex² + y² 2 derivative of t

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Q: 2. Find the surface area of the solid generated by rotating the region bounded by the graphs of f(x)…

A: In this question we have to find the surface are of the solid region generated by rotating the…

Q: Prove the following using the definition of a limit. n - 1 (a) lim n+on+1 (b) lim (2x² − 3) = −3 -…

A: For (a),    limn→∞ n-1n+1=limn→∞ 1-1n1+1n=limn→∞ 1-1nlimn→∞ 1+1n=11=1 For (b),    limx→ 02x2-3Plug…

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: If A = [0, 2π] and A is measurable, prove that lim :S cos nx dx = lim sin nx dx = 0.

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Q: 4) Determine the derivative. Do not simplify your answer. a) f(x)=2x³-√x+x³ c) ƒ(x)=-4 b)…

A: I am attaching image so that you understand each and every step.

Q: Q1) Find the average value of the area Ander the curve (y=1-x²). Q2) Solve the D.E.: cos x + sec¹x -…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 17. Determine the tangent to the curve 3y = x³ at (3,3) and calculate the area of the triangle…

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Q: √9-x²2x √ O O√9-² % √9-2 - - Arcs + C +Arc3in Ễ+ế

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1 Y2 Y3 and Y4 of the…

A: Given :y'=y-5xy(3)=0

Q: (d) Sketch the graph of r=4-9 sine in polar coordinates. (e) Find the area of the region inside the…

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Q: Assume that z = f(w), w = g(x,y), x=4r³-s², and y = re. If g (4,1)=-4, g,(4,1)=2, f'(7)= -2, and…

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Q: Solve: d²y/dx² +6 dy/dx +13y=0; y(0)=3, y'(0)=7 Write the letter corresponding to your answer. The…

A: Option C

Q: 28. Find the surface area of the portion of the curve x² =4y from y =1 to y =2 when it is revolved…

A:

Q: A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the…

A: A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the…

Q: can you please solve the other

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Q: How does the partial derivative relate to the limit of a function of two variables?

A: Solution

Q: Find the finite derivative of a the functions below at x=1: a) f(x) = 4x³-3x²+2x-3 3 b) f(x)==-²/ 3…

A: Concept: The derivative can be represented as f'(x) or ddx(f(x)) Derivative of xn: ddx(xn)=nxn-1…

Q: b) Evaluate lim g(x) if 2x − 1 ≤ g(x) ≤ x² − 2x + 3 x→2

A: Above question is solved.

Q: A doll sold for $249 in 1977 and was sold again in 1986 for $472. Assume that the growth in the…

A: This question is related to exponential function,we will solve it using given information.

Q: Chris and Dani volunteer at the food bank at 9:00an on Saturday mornings. It takes 30 minutes to get…

A: person C and person D have to reach good bank at 9:00am.we have to calculate that at what time…

Q: a) Y= ezx-e-zx €²x+e-2x

A: Given,   y=e2x-e-2xe2x+e-2x

Q: Rewrite sin(x + ¹(x + 11T) 6 sin (z + 11T) = in terms of sine and cosx.

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Q: f(3x + 2)² dx

A:

Q: Find the slope of the secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

A:

Q: eets 1 X STBunn Truck Sheet - Goo X Shelton State X LG myShelton Compute the derivative of the…

A: Given;  Sqrt(9+4x+sinx).

Q: How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x + 2y + z = 1? If there…

A:

Q: 348, 7.) x and y are vectors between them and 2, respectively, with an angle of 120° of 3x + 27. the…

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Q: Consider a spring-mass system with damping y and without any external forces acting on the system. A…

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Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40…

A:

Q: 24 १. शुक dx +3

A: The given integral is: I=∫x4x5+33dx    ...1 As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: Use the Chain rule to find ().(). For the following functions: (1) u=xy-¹ where: x = e-2r cos-¹ and…

A: 1. According to question,Given Function,u = xy-1where,x = e-2r cos-1r   and   y = 2rcsc-12r

Q: 9. If the cones below are similar, what is the ratio of the surface area of the larger cone to the…

A: Given two similar cones with the given dimensions To find the ratio of the surface area of the…

Q: 25. Find the area of the curve r² = a²cos 20. B. a A. a² C. 2a D. a³

A:

Q: 46. How will you know if you can use a Substitution Rule in finding the antiderivative of a…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: 1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the…

A: According to question,Center : 8,0Radius : requation of ellipse : x2 + 4y2 = 16