A $5,500 bond that carries a 3.00% coupon rate payable semi-annually is purchase years before maturity when the yield rate was 5.00% compounded semi-annually.

Q: Use Lagrange Multipliers to find the maximum and minimum values of the function f(x,y)=x^2+y^2…

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Q: Find the length of the dashed zig-zag path in the following figure. 34 0.75- 0.5+ 0.25+ 00.25 0.5…

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Q: Calculus Question

A: Disclaimer: Since you have asked multiple question,we will solve first for you.If you want any…

Q: f(x) = 2 २२. find ƒ'(1).

A: Given  f(x)= 2/x2     now derivative of f(x) with respect to x is given by     f’(x) =. -4/x3

Q: (a) Find the area of the region bounded by the given curves x+y=0, x = y² + 3y.

A: x+y=0  -----(1)x=-y x=y2+3y ------(2) for points of intersection y2+3y=-yy2+4y=0y(y+4)=0y=0,-4

Q: Let F = (7yz)i + (2xz)j + (1xy)k. Compute the following: A. div(F) = B. curl(F) =i+j+k C.…

A: We know the expression for the divergence of vector point function F→=F1i+F2j+F3k is:…

Q: Let f(x) = { 8x6 if x 10 If f(x) is a function which is continuous everywhere, then we must have b=

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Q: Write a formula for the nth term of the infinite sequence. Do not use a recursion formula. 9) 3, 15,…

A: Let's find nth tern of infinite sequence.

Q: S x²-x +2 -X X³ + 4x -dx

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Q: 7.) A lot in the shape of a quadrant of a circle of radius 100m. Find the area of the largest…

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Q: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s…

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Q: Consider the following function: f (x) = -1/2 x^4 +16x^2 -4 Determine f′(x) and f′′(x).…

A: Solve the following

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A: The volume of the box is vx=4x3-48x2+140x on the interval 0,5 we have to find its maximum volume…

Q: 5) You drop a basketball from a height of 8 feet, and let it fall and bounce. Every bounce, the ball…

A: We have to find the distance travelled.

Q: XP xh+qx X 2+ X-2 f

A: This question can be solved using the concept of integration by partial fraction.

Q: Find the derivative of the function f(x) = (3x4-22³ - 10) ³/2 ○ f'(x) = (12x³ – 6x²)° ƒ' (x) = -—-…

A: The given function is f(x)=(3x4-2x3-10)32 We have to find the derivative of the function

Q: Two bacteria cultures are being studied in a lab. At the start, bacteria A had a population of 60…

A: Topic:- exponential growth function

Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 2580 yd of fencing to enclose a…

A: The owner of the Rancho Los Feliz has 2580 yd. of fencing to enclose a rectangular piece of grazing…

Q: Show that the vectors , and are coplanar.

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Q: Use the Ratio Test to determine whether Identify an Σ n = 1 (2n)! 2n Evaluate the following limit.…

A: Solve the following

Q: Identity the transformations (a) y=k(6x) + 3 of the function k(x). (b) y = 10k(-x) (c) y = .3k(x-7)…

A: We need to identify transformations.

Q: 2. f cos²xsin² xdx

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Q: Find the absolute minimum value of f(x) = 9x² - 5 x + 14 on the interval [0, ∞). Note: You need to…

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Q: (a) Use differentiation to find a power series representation for f(x) f(x) 00 f(x) = n = 0 What is…

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Q: f(x)=4 sin¹+x+√4x²

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Q: Given f(-6)= 18, f'(-6) = -16, g(-6) = -10, and g' (-6) = 14, find the value of h' (-6) based on the…

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Q: Question The range of the function f(x,y)=-2+e√²-x²-ylis: [3:2+e] O This option None of these O This…

A: We have to find the range of the function.

Q: i) Find the general term (an) of the sequence 3e-²,4e¯4,5e¯6,6e-8, 7e-10, 8e-¹2,... ii) Calculate…

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Q: Q3. Change the order of integration and evaluate * * dy dx.

A: To evaluate ∫04∫0xdy dx using the change of the order integration. From the limit of integration the…

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Q: If the revenue function for a particular commodity is R(p) = q(p) = Give a reason for your answer. R…

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Q: bn = n' ебп

A: Here, the given sequence is bn where bn=nne6n

Q: Use a Taylor series to approximate the following definite integral. Retain as many terms as needed…

A: Let's solve integral to taylor series expansion.

Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

A: Given :r=5ar=7bsecθ0<5a<7b

Q: 1. Limits of five sequences. Match the formulas with the descriptions of the behavior of the…

A: To find the behayof given sequences.

Q: Find f   f '''(x) = cos(x),    f(0) = 7,    f '(0) = 6,    f ''(0) = 5

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Q: - Q1. If g = xy — yz — zx and F = x²y ī− 2 y²zj – z²x k, find F. grad g and cross product of F and…

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Q: Suppose an object is moving along a verticals line. It’s vertical position is L(t)= -t^2 -4t+12.…

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Q: If g = xy + yz + zx and Ē = x²yī+ y²zī+ z²x k, find F. grad g and cross product of F and grad g at…

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A: We need to find S'(t).

Q: So (2+7x) et ¹ dx

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Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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Q: -1.0 -0.5 π/2 2 r = 1 + cos 0 0.5 1.0 1.5 2/0

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future family. The…

A: Given the query is to find growth rate, money after 10 years and time taken to double the amount.

Q: Its saying the solution is wrong

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Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: 8) Use the functions f(x) = x² and g(x) = √2-x to find the specified function its domain: a.…

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Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

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Q: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=5i-j and…

A: We have to find the dot product of vectors and magnitude of vectors