Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (6, 9) a = b =

Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |...

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121 ...

Q: (a) Find the average value of f(x) = 25 – x² on the interval [0, 2]. Answer: 71/3 (b) Find a value c...

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Q: Let R be the region in the first quadrant bounded on the right by the graph of y = x – 3, above by t...

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Q: 4-4сosx lim X→0

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Q: age 25​, someone sets up an IRA​ (individual retirement​ account) with an APR of 4​%. At the end of ...

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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: Name: 4.7 Assignment - Multiple Representations of Combined Functions 1. The chart below shows the g...

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Q: Suppose a function z=f(x,y) has critical points at (-1,2) and (0,3). Furthermore, suppose at each cr...

A: Let's find. 

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

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Q: Which of the following gives the length of the curve y x2 + 2x from x = 0 to x = 5 ? (x2 + 2x) dæ I ...

A: Length of the given curve will be

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 3j+k as adjacent sides. NOTE: Enter t...

A: Topic = Vectors

Q: y+y' +y =x +4x' +12x y-2y'+2y 2e" cos(x)

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Q: Given: g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 Find (1) the derivative with respect to x and (2) th...

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Q: If a0=1, a1=5, and ak+1=-3ak-1+4ak for all k≥1, use methods of linear algebra to determine the formu...

A: We have to find the formula for ak  and the limit as k approaches infinity for ak+1/ak.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Solved below

Q: Find a general solution to the differential equation using the method of variation of parameters. y"...

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Q: 3 dx dy +zXxgd x = X %3D Ans: y

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Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: Find for the given function. dz? w= 10z2 ez dz 2)

A: Use dervative rule

Q: E Valua te :- 1X+2y) dx dy when

A: Given problem:- ∫∫D(x+2y)dx dy  Where D : y=2x2 , y=1+x2

Q: The sales, S. of a product have declined in recent years. There were 204 million sold in 1984 and 1....

A: The sales, S, of a product have declined in recent years. There were 204 million sold in 1984 and 1....

Q: e. z = In z,ze f. z z = logz, 2, Zd Zh

A: Please see the answer below.

Q: Use polar coordinates to find the volume of the given solid. Under the paraboloid z = x2 + y2 and ...

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.5...

A: The balance P (in $) grows at a rate (per year) is given by, dPdt=0.065P(t) ............. (1)

Q: Evalnate. the. followin..deuble.integrals.by.conver.king.b.. polar.Cto.r.dinates. Gp xpx Sf- Ans.: A...

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Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: 1 1 3. lim ed - 1

A: Given query is to find the limit of the expression.

Q: Find the following limit algebraically if it exists. Write DNE if the limit does not exist. Show all...

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Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point ...

A: The Parametric equations of the line are the components of the vector equation , and have the form  ...

Q: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

Q: Consider the following. y = 5x2 - 10x + 4 (a) Find the interval(s) of increase. O (1, o) O (2, 0) ㅇ(...

A: Given query is to find interval of increasing , decreasing and maximum, minimum.

Q: Daily crude oil production by Pemex, Mexico's national oil company, for 2008-2013 could be approxima...

A: Find the derivative using power law of derivative. 

Q: 3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and th...

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Q: Find dy/dx if x^3y^2+2xy=x^3

A: Solving the problem by finding the dy/dx of the given expression.

Q: Evaluate the following using trigonometric substitution: Vx2 - 4 dx

A: Find your answer below 

Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

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Q: The graphs of two functions are shown with the areas of the regions between the curves indicated. y4...

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Q: Q2: Solve the following equation using bisection method to find the root between x1=1 and x2-3 make ...

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Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3) ...

Q: The radius of a spherical balloon is increasing at the rate of 0.7 cm/minute. How fast is the volume...

A: We have to determine volumes of sphere changing rate

Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,...

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Q: For the following geometric sequence find the recursive formula and the 6th term in the sequence. {...

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

A: From the given graph, we find the values f(1.8) and f(2.08)

Q: A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium ...

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Q: Find the lim(-). 4 x→2x-2 x2-4 3/4 None of these O 1/4 O undefined

A: We have find lim above question 

Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some tim...

A: topic - mean value theorem

Q: Find the length of the curve defined by 2? = 2y3 from x = 0 to x = 4:|| %3|

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

A: To find out the time it takes for the drug level in the bloodstream increasing.