Find the vectoy with the given magnitude and the same direction as u Magnitude Direction ||v|| = 4 u = (-6, 6, 2) v =

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: Solve the problems below that pertain to Có structing a feñčě. (a) A farmer wishes to enclose 6,724 ...

A: We have to find the values of x and y.

Q: Find the average of the function over the given interval. (Round your answer to two decimal places.)...

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

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Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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Q: У7-"(10т — 1)" —п n=0

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Q: Find the formula for the nth term of the arithmetic sequence. a1 = 11, d =

A: Given query is to find the formula for nth term.

Q: Find the equation of the tangent to the graph at the indicated point. f(x) = x2 – 5x; a = -2 y =

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Q: Suppose that the spread of a flu virus on a college campus is modeled by the function 1000 y(t) = %3...

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Q: view Policies Current Attempt in Progress An open box is to be made from a 33 ft by 88 ft rectangula...

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

A: Solution is here

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1 - 81x2' NOTE: Enter the exact...

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Q: 6. Given f(x) =x° and g(x) = x, sketch h(x) = f(g(x)).

A: As you mention question no. 6 solved

Q: Use the compound interest formula to determine the accumulated balance after the stated period. $500...

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

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Q: Consider the two functions fz) = 5x +5 and g(x) = 5x² - 5. a. Determine the instantaneous rate of ch...

A: rate of change means differentiate with respect to x so differentiate it f'(x) = 10x g'(x) = 10x   a...

Q: Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky + ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

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

A: Use dervative rule

Q: * 00 The size of a certain insect population is given by P(t)= 300e OLr, where t is measured in days...

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

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Q: (d) There exists a relation U on A so that U is symmetric and antisymmetric, but U is not transitive...

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Q: urrent An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is ...

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Q: xy' + y = 0, y(4) = 6 %3D

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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: [9] Suppose x is a particular real number, and let p, q, and r symbolize “-23

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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: xf (x² )dx if / fx)dx = 5. Find Enter the exact answer. f(x² )dx = -2

A: find ∫-20xf(x2)dx  

Q: 3 sin°co dx COSCX)

A: Integration

Q: If a particle is moving with the given data a(t) = 10 sin t +3 cos t, s(0) = 1, v(2n) = –4 Then the ...

A: Given that at=10sint+3cost  ,s0=1,      v2π=-4To find : the position function stSolution :we know th...

Q: 5. Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 <0...

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Q: Study this functicu Pex) =x² is it positive of negative o else • By using the first identification o...

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Q: 1.3. Study the existence and uniqueness of the solution of the initial value problem (2y – 4)y/ – (3...

A: Given problem:-     To find:- fy(x, y) 

Q: dy + xdx + 2ydx = 0

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Q: [8] Rewrite the following statement less formally, without using variables: There is an integer n su...

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Q: 1. lim 3" 5. lim tan r 2. lim 5 6. lim cos r 3. lim log r 4. lim cos r 7. lim sinr

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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: a)Solve the following IVP: d^2y/dt^2 − 4(dy/dt )− 5y = 0, y(1) = 0, y′(1) = 2

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Q: Given the differential equation and its initial conditions y" - y' 2y 0 with y(0) = -2 and y'(0) = 5

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

A: We need to find length of curve.

Q: machine is rolling a metal cylinder under pressure. The radius of the cylinder is decreasing at a co...

A: Explanation of the answer is as follows

Q: Original Integral Rewrite Integrate Simplify 9 dx dx 9 + C (4x)5 1024 1024

A: Topic = Integration

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

A: Here we will find the magnitudes of both diagonals,

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: Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v orth...

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Q: A cold drink initially at 38°F warms up to 42°F in 2 min while sitting in a room of temperature 69°F...

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Q: e 2t Given that y, (t) = cos t is a solution to y"-y' +y = sin t and y, (t) = is a solution to y" -y...

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Q: Examine the benefits and drawbacks of decomposition-based integration.

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Q: Find f'(x) if eſ(x) = 1 + x². f'(x) = 2x(1 + x2) f'(x) = 2x(e1+**) Option 1 Option 3 2x f'(x) = 1+x2...

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Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C. sec...

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