Find the angle between the two given vectors. u = (1, –4, 1), v = (0, 2, –2)

Q: Find the average rate of change of the function over the given interval. (Round your answer to three...

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Q: 9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. ...

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Q: Determine the particular solution. (y² + 7xy + 16x²)dx+ x²dy = 0° ×=1, y=1 O 5(y+4x) = *-y In(x) O 5...

A: Let's find. 

Q: To start a new business Beth deposits $1000 at the end of each period in an account that pays 9%, co...

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Q: Given y=5x+2−−−−−√, find the differential dy when x=1 and dx=0.3. Round your answer to three decima...

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Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = e*y-y°, v = =...

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Q: 2 Represent the function as a power series f(x) : (1 – 7æ)2 n=0 e radius of convergence R

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Q: y" +y = 1.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: mg U = k E (1 -e ktlm). At what rate is the velocity is changing at time 0? At t = 6? What do your a...

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Q: For each differential equation in Problems 1–21, find the general solution by finding the homogeneou...

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Q: Find the critical numbers of f (if any), find the open interval(s) on which the function is increasi...

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Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is ...

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Q: A rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by cutting out id...

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Q: hypothetical

A: We will find the rate of change of sides of the cube. 

Q: The annual revenue of Google Inc. over the period January 2008 - January 2015 can be approximated g ...

A: Given derivative of annual revenue function. To find the total revenue earned.  

Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the...

A: We can find the required answer as below.

Q: Consider the following graph. y -5 -4 3 1 1 2 3 4 6. (a) Find the interval(s) on which f is increasi...

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Q: A man is disabled in an accident and wants to receive an insurance payment that will provide him wit...

A: Given query is to find the amount accumulated.

Q: Consider the series 11 Determine whether the series converges, and if it converges, determine its va...

A: Use the ratio test for checking the convergence of series.

Q: x" +x +1 = 0 Homogeneous O Not homogeneous

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Q: Two variable quantities A and B are found to be related by the equation given below. What is the rat...

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Q: Considering the following alternating series. E(-1)*+1 V7k + 6 k=1 a) An alternating series can be w...

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Q: The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the ...

A: We have to find the rate of change in velocity of blood.

Q: Find the dot product of the following vectors u and v. %3D

A: The dot product of u and v Vectors is -16

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising expend...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x - x and y = 0 about th...

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Q: Plot the vector field F = (y,sinx) using the viewing window (-2pi,2pi)x(-2pi,2pi

A: Given:       F = ( y , sin(x) )      viewing window :  (-2pi  ,  2pi)

Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π2. Give your answer round...

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Q: Find the radius and interval of convergence of Radius = 0, Interval = empty set >n!æ" . Radius = 0, ...

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Q: Find f'(x) and f"(x). f(x) x² – 8 f'(x) = f"(x) Nood olp3

A: Given query is to find indicated derivatives.

Q: Find the present value of an ordinary annuity which has payments of $600 per year for 12 years at 7%...

A: To find the present value of annuity

Q: Obtain the general solution. (x2 – xy + y²)dx– (xv)dv = 0 O x(2 - 1)e\/x -č O y - 1)e×/Y = C OC- xly...

A: Given the differential equation is x2-xy+y2 dx - xy dy = 0

Q: Obtain the general solution. (xy + y²)y' = y² O v? = x(In\xl) + Cx O y- x(In\xl) + Cx O x² = y(In\yl...

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Q: Solve the inequality. Write the solution set in interval notation. 6) 4w2 > 4w - 1

A: Consider the inequality  4w2>4w-1

Q: For each differential equation in Problems 1–21, find the general solution by finding the homogeneou...

A: First I have written the differential equation into operator form and then solved it.Final solution ...

Q: df (x) 7) The graph below represents dx y 5 a) Find the intervals of increase f(x) b) the intervals ...

A: This problem very fundamental for understanding of application of derivative:monotonicty and concavi...

Q: Find the probability for the experiment of drawing two marbles at random (without replacement) from ...

A: Topic = Probability

Q: INTEGRATION OF TRIGONOMETRIC FUNCTION Evaluate the given integrals. Show the complete solution. Iden...

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Q: 2 y=x¯,y= 2x

A: The objective of the question is calculate area of the bounded region .

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +...

Q: Newton's method and the following formula are used to calculate the true interest rate of a loan, wh...

A: In this question we have to apply Newton method.

Q: 2. S cos-1 x dx

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Q: Solve the problem. 9) Bethany needs to borrow S8000. She can borrow money at 6.9% simple interest fo...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(2,...

A: Given query is to find the direction derivative at given point.

Q: Evaluate the following integral using partial fractions: 2x2 +1 dx J(x – 1)(x – 2)(x – 3) -

A: Given: I=∫2x2+1x-1x-2x-3dx   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx ; where a is cons...

Q: S6x*/1+4x°

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Q: You have the graph below of the function z = f (x,y). Figure out whether the partial derivatives giv...

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 + 4 (a) Find the in...

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: g(b). Use the Substitution Formula, -g'(x) dx = f(u) du where g(x) = u, to evaluate the following in...

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