Use vectors to find the lengths of the diagonals of the parallelograr that has i +j and i – 18j as adjacent sides. NOTE: Enter the exact answers. ||d||= ||d||=

Q: 10 Solve each equation and inequality. Put the solutions to the inequalities in interval notation. S...

A: Explained below 

Q: 18xy ive of the function g(x, y) x-y abolic notation and fractions where needed.)

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in ...

A: This is a problem related to calculating the rate of change in the numerical form and percentage for...

Q: E Objective Knowledge Check Write a system of linear equations for the graph below. 8- 7. 4. 2 3 8. ...

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Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative Test...

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Q: The graph below qives the velocity of an object, v(t). Use the graph to answer the following questio...

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Q: For what value of x does f(x) take on a minimum if F(x) = /3 x² -2 x + 4 13 What is the minimum valu...

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Q: Given cost and price (demand) functions C(q) = 120g + 42,000 and p(g) = - 1.9q + 870, what is the ma...

A: Solved below

Q: The revenue in dollars from the sale of x calculators is given by the equation R(x) = 6 + /540x- 2x2...

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2000 yd...

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Q: Vx - х2 dx;

A: We will evaluate the definite integral using the formula given in #113 as following.

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Q: Find grad f, plot some level curves f = constant and indicate grad f by arrows at some points on the...

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Q: A town has a population of 350,000 in 2005, if an annual growth of 5% is observed until year 2020. A...

A: .

Q: •f(0) = 4 •f is decreasing and concave up for - 6 4

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 45 km/h a...

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Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O ...

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Q: Determine the Equation from the information below: HA: none X-Int: (0, 0) VA: none Y-Int: (0, 0) Hol...

A: Given data÷

Q: Explain what is indicated when you determine that a function has the following two conditions. Write...

A: Take an example of the function which satisfy the given conditions then explain it. 

Q: sin ®x cos*x dx. using Wallis formula

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Q: 2. Evaluate the integral x(3 – 5x) (3x – 1)(x – 1)2 dx

A: To solve the following integral

Q: r f(x) = xe-3, a). find f' and f", b). find the intervals of concavity (up and down) and the Hection...

A: Given query is to find the inflection points nd the interval of concave up and down.

Q: Use L'H rule to find lim (1 – 2x)/*. -

A: Question is solved.

Q: ng If C(t) = 49.9t e - 0.25t measures the concentration, in , of a drug in a person's systemt hours ...

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: The given problem is solved below in detail.

Q: Consider point P and vector v. Let L be the line passing through point P with direction v. P(4, 5, 3...

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Q: Graph the function f(x) = log 1/3(x- 3) - 4. Use the graphing tool to graph the equation.

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Q: For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular...

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Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (x --) - 1....

A: Given

Q: Find a value of c that makes the following function continuous at x = 0. Explain why the value of c ...

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Q: Suusn. COS X t cost a) f(x) = (b) y = 1-t %3D 1+ sinx

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Q: Activity II Direct ona: Match each solid figure in column A with its surface column B. Write the cor...

A: We will find the surface area of all the five solid figure as following.

Q: Question 7 A function is given implicitly by the equation 16ry– 6 = cx + y². a) Determine the value ...

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Q: The volume of the solid obtained by rotating the region enclosed by 1 y = 0, x = 3, and x = 8, about...

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Q: sinx (b) у %3D V1+cosx

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Q: 1. Evaluate the integral 5x + 1 dx 2x2 - x -1

A: We can evaluate the given integral by using the partial fraction method.

Q: The velocity (in meters/sec) of a particle moving along a straight line is given by v (t) =2 t^2 + 4...

A: According to Bartleby's guidelines we can solve only 3 subparts of a problem. Here is the solution o...

Q: I-71+6 if a 0 I-6 discontinuous? t what value/s of x is/are the function of f(x). 2 if a = 0 Ox=-6,6...

A: Given query is to find the point of discontinuity.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A:

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A:

Q: Find y" if y=3xsinx

A: Given query is to find the double derivative of the expression.

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: Given, Monthly marginal revenue cn be approximately by: R'(x) = 0.96 - 0.0064x So, dR = (0.96 - 0.00...

Q: A solid is formed by revolving about the y-axis, the area bounded by the curve x³=y, the y-axis and ...

A: Given: - A solid formed by revolving about the y-axis, the area bounded by the curve x3=y, the y-axi...

Q: Given Cost and Revenue functions C(q) = q° - 9q“ +53q + 5000 and R(q) = - 3q+2500q, what quantity mi...

A: Topic  =Derivative

Q: Given: 1. v = 2i – 4j + V5 k, u = –2i + 4j – V5 k 2. v =i+k, u = 5i + 12j - 3 Find: a. u·v, [v|, Ju|...

A:

Q: ind the general solution of the following equation. Express the solution explicitly as a function of...

A: Given query is to find the solution of the differential equation.

Q: 1. Evaluate dx /4 sec2 x (a) VI(x+ 4) (b) * dx V1 – tan? x

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Q: 2. Find the derivative y' for each function/curve. Once you solve for y', you do not need to simplif...

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Q: Fln)(8) = (-1)"+1 (n²+3) n! Find the Taylor series for f(x) centered at 8 if Σ n = 0 8.

A: Find Taylor series. 

Q: x3 dx using trigonometric substitution, it is best to let V?-9 To evaluate A z=Vx2-9 B x=3 sec 0 x= ...

A: