Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

Q: Use the appropriate compound interest formula to compute the balance in the account after the stated...

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Q: The functionf is a continuous function with the following characteristics: f(x) <0 on the interval -...

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Q: nd an equation of the plane that passes through the given point and is perpendicular to the given ve...

A: Given point P(2,6,-9) i.e. x1=2, y1=6 and z1=-9Given vector is n=j i.e. c=1We know that equation of ...

Q: Given the function f(t) = 4 e3 Use the Laplace Transform table to convert this function into F(s). f...

A: Consider the function  f(t)=t4e3t

Q: Prorate the following expenses and find the corresponding monthly expense. Lan pays a semiannual pre...

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Q: Find the area of the shaded region. y y = x' - 15 x 10 y = x (4, 4) -6 2 4 (-4, –4) -10 - 20 A = 20

A: We have to find area of shaded region.  That is, area between the curve (y = x3 - 15x )  And line (y...

Q: Given arccos(r) = arccot(z?), solve for dz/dr %3D

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Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the funct...

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Q: Consider the Second Order Differential Equation d?i di drz +77+ 10i = 0 dt Where i represent current...

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Q: Find the total value TV of the given income stream and also find its present value PV (at the beginn...

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Q: Given the function f(1) = 12 Use the Laplace Transform table to convert this function into F(s).

A: Given :- f(t) =t2  To find:- Laplace Transformation of given function

Q: The movement of a particle follows g(u), where g(u) h(u) and h(u) = u? + 8u + 15 and y(u) = u² + 2u ...

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Q: /(cos0 + tan@) de cos?0 - (sec@ + tandsec²0) d0 A) True B False

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Q: Given the function f(1) = e2' cos(3 1) Use the Laplace Transform table to convert this function into...

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Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation....

A: Consumer's Surplus , CS = ∫0q p(q)-p dq .

Q: 00 Σ The population of a country dropped from 51.6 million in 1995 to 45.5 million in 2009 Assume th...

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Q: It takes  18 hours for 12 people to plant  4 hectares of rice field. In how many hours could 9 peopl...

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Q: The sum of the matrices below gives a (3 7 21 10 0 and О Зх3 matrix O 3x 2 matrix O 2x3 matrix O 2x ...

A: Given: One matrix is of 3x3 and one is of 2x2. So, the sum of the above two matrices is not possibl...

Q: Find a particulaf solutioh to 9y" +6y'-y= 17 A solution is v. (t) =

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Q: Compute the indicated derivative. U(t) = 5.1t2 – 1.7t; U'(3) U'(3) =

A: We can find the indicative derivative as below.

Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: The amount of a certain drug in a person's blood t minutes after administering the drug is given by ...

Q: Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On a...

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Q: Find the area of the region.

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: This question is based on 3d line equation.

Q: Consider the given function and the given interval. f(x) = 5/x, [0, 4] (a) Find the average value fa...

A: The objective is to solve the above question.

Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

A: The graph of f is linear near the point (6, 4) and approximately coincides with the line passing thr...

Q: Question Find the sequence of partial sums S1, S2, S3, S4, and S5 of the series below. 10 3" – 18 Ro...

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Q: Consider the following. u = -9i - 4j - 2k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find...

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Q: 3. 2- 1- ol 1 4 Let R be the region bounded by the graph of y = Va – 1, the horizontal line y = 2, a...

A: As shown taking the horizontal stripe x changes from 1 to y2+1 because  y=x-1⇒y2=x-1⇒x=y2+1

Q: Find the surface area of revolution about the y-axis of y = 2x + 3 over the Interval ISIS4

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Q: Find the area of the surface generated by eY + e -y revolving the curve x - in the interval - In 5 O...

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Q: 1 dx x+V9 – x2

A: Question-  Evaluate the given integral  

Q: .... a) What percentage buy the game without seeing a TV ad (x = 0)? 19% (Type an integer or a decim...

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Q: 16 where xis the number of units. A company's marginal cost function is C'(x) = Find the total cost ...

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Q: A F(s). s2 + 4 1 B F(s) s? + 2 1 ©F(s) S - 2 DF(s). S + 2 S E F(s) s2 + 4 S - 2 FF(s) = (s - 2)2 + 4...

A: Question-  Find the inverse Laplace Transform of the given function-  f(t) = cos (2t)

Q: polygons and cırcles. 3. Given an equation of a circle, determine how to find a point on the circle....

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Q: 3-Sketch the graph of y=-3 (6x+3t/2)-2 on the domain cos Application

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Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

A: Surface area

Q: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of 5...

A: We need to find average and instantaneous velocity. 

Q: Find the average rate of change for the function over the given interval. 3 between x= 4 and x 7 y%3...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: An investment loses 3.1% of its value every week. Find the half-life in this situation. The half-lif...

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Q: d^2y/dx^2 for y=2x^3-5/x^2

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Q: Evaluate the given integral by changing to polar coordinates: Sl. x²y dA, where D is the top half of...

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Q: Given the graph of the function below. Find the limit of the function as x approaches 3. * (3, 4) (0...

A: Given query is to find the indicated limit.

Q: Sketch the region enclosed by the given curves. y = x* - 15x?, y = x? 20 4 40 -6 -2 6 2 -20 20 -6 -4...

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Q: (b) True or False: If E=1 an is divergent, then E=1|an| is also divergen

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Q: ne unknown initial temperature, 3. If the temperature of the air is 300K and the substance cools fro...

A: As per the guidelines I can solve only first question 

Q: Use the compound interest formula to compute the balance in the following account after the stated p...

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Q: Let f(x): What is the equation of the vertical asymptote of f(x) and what is the sign of f(x) as x -...

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