A cat falls from a tree (with zero initial velocity) at time t = 0. How far does the cat fall between t = 0.4 s and t = 1.4 s? Use Galileo's formula v(t) = −32t ft/s. Answer: ft.

Q: suppose u = f(x,y) and v = g(x,y) with xy+2xu+3xv+uv-1=0 and 2xy+3yu-2xv+2uv+2=0 find jacobian…

A: The given system of equations is: u=f(x,y).    and     v=g(x,y)  with xy+2xu+3xv+vu−1=0…

Q: Consider the vector field F = (6x + 3y, 4x + 6y) Is this vector field Conservative? Select an answer…

A: F→=6x+3y, 4x+6y

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [8 8y³…

A: Green's theorem is given as  ∫( F1dx + F2dy ) = ∬( ∂F2∂x - ∂F1∂y )dxdy

Q: Find div F and curl F if F(x, y, z) = xz7i+ 6y¹²x²j + 6z²yk. div F= curl F=

A: To find div F and curl F if Fx, y, z=xz7i+6y12x2j+6z2yk.

Q: 77°F Sunny Which of the following functions could make the graph 27 18 16 14 12 10 N. Of(x) =…

A: Graph of a polynomial function

Q: Let u = 4i + 5j, v = -4i +2j, and w = 3i - j. Determine the i, j form of each of the following: (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: = 1 VX dt It = 1

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Q: 7T Plot the point whose polar coordinates are 4, 4 -5 -4 น -2 -1 4 3 2 1 -1 -2 -4- -5+ Clear All…

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Q: Use the precise definition of  to prove it again

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Q: Solve the following equation on the interval [0°, 360°). Separate multiple answers with a comma.…

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Q: surmounted by a semi-circle. Find the dimensions tha provide the largest area for this window if its…

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Q: 6. 15 10 -5 -10- and x = 4. y 2 Find the area of the region bounded by the curves y = x² + 8, y =…

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Q: 3. Find an equation of the tangent line to the curve y = F(x) at the point with a coordinate . ra…

A: The equation of the curve is y = Fx = ∫πxcosttdt To determine: The equation of the tangent line to…

Q: M Find the distance from the point (-2,6,4) to the line ä(t) = (-1,3, 5)t + (-9, -3,-2). 8266 √35 20…

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Q: (x(t) = 6+t Find a plane through the point (2,7,-5) and orthogonal to the line y(t) = -4+7t…

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Q: Find the particular solution to the differential equation dy d-2 dx dx = 5 sinx that satisfies y = 0…

A: We have to find the particular solution of the given differential equation. For this we will use…

Q: 1. (1+2x) e da

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Q: The function f(x)=0.06x+100 represents the rate of flow of money in dollars per year. Assume a…

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Q: 2) Describe the 3D surfaces in words and draw a graph by hand. Your description should include the…

A: a) y=x

Q: Find the directional derivative of the function f(x, y) = x² + at the point (x, y) in the direction…

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Q: 15. Find the function f(x) = ax³ + bx² +c +cx+d for which f(-3)=-73, f(-1)=3, f(1) = 7, and f(2)=12.…

A:

Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…

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Q: 9. Evaluate the following series: 7 (-1)^(6k) k=3

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Q: Compute the volume of the solid bounded by the given surface. z=x+1, z-y-2,x=y²-2,x=y

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Q: Find the linear function with the following properties. Answer f(x) = f(-6)= -2 1 Slope of f

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Q: Walter meets with his accountant to go over numbers for the hat kiosk that he plans on opening in…

A: Given that If x represents the baseball hat stock and y represent the Panama hat stock, then in…

Q: Rewrite the Cartesian equation I T(0) = Enter theta for if needed. 3 as a polar equation.

A: Conversion between polar and cartesian coordinates systems  x = rcosθy = rsinθ

Q: Find the volume of the solid generated by revolving the region bounded by y=4x-x² and y=x about the…

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Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

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Q: (y secx + secatanx) dx + (tanx +2y) dy =1

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Q: Yes it is conservative but you are incorrect on the rest of it

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Q: Use the Shell Method to find the volume of a solid obtained by rotating the region B about the x b y…

A: NOTE: Refresh your page if you can't see any equations. . here we have the given interval of x is…

Q: find the curvature k of the curve r(t)=2 sin t, 2, 2 cost t, when t=pi/2

A: The given curve is: r(t)=2 sin t, 2, 2 cos t

Q: Question 2 Consider the function f(x)=2x" ln(x + 8x+8). The function f is complicated enough that it…

A: Given: f(x)=2xalnx4+8x+8 Stationary point is at x=x0 that is close to x=-1 a=3 Chain rule for…

Q: Let a= (3, -10,7) and b = (9, -2, 10). Compute the projection of a onto band the vector component of…

A:

Q: 3. Use the Taylor polynomials found in part #1a to find the first four terms of the power series for…

A: We have to find the first 4 terms of the given series. According to our guidelines we can solve only…

Q: A population of insects increases at a rate of 210 + 14t + 1.2t² insects per day. Find the insect…

A: dP/dt = 210+14t+1.2t2

Q: PROBLEM NUMBER 17 ●fe-et- Evaluate e-t 4 dt..

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Q: 8. Find the formula for the nth term of the sequence. 2 3 4 3 5 음 6 9 12

A:

Q: Find u v, uu,u², (u v)v, and u u = (5,-8, 8), v = (-6, -1, 2) (a). u. v (b) (c) (d) (e) UU ||u||²…

A: (d) given u=<5,-8,8>  and  v=<-6,-1,2>

Q: how the Taylor formula was applied how did we get those numbers and why is x in absolute value

A: As given in the question, dom f = x∈ℝ| x2+3x=xx+3≥0 = (-∞,-3]∪[0,∞) f(x)=x2+3x is a polynomial…

Q: Evaluate the triple iterated integral. /4 π/4 cos e [*¹* [*¹²ª [ * * p². 10 p² sin cos o dp de dé

A: The given integral is: ∫0π4∫0π4∫0cos θ ρ2sin φ cos φ dρ dθ dφ

Q: 83895 Find all angles 8 between 0° and 180° satisfying the given equation. Round your answer to one…

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Q: A triangle is formed by A = (3,3,1), B = (0, 1, 5), and C = (1, -4,-1). a. What are the angles of…

A: A triangle is formed by A=(3,3,1), B=(0,1,5) and C=(1,-4,-1).We need to find:a the angles of this…

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: 11. The following table shows values of a periodic function f(t). f(t) 41-2141-21 Which of the…

A: Given t 0 1 2 3 4 5 6 7 f(t) 4 1 -2 1 4 1 -2 1

Q: Find the area between y=(x-6)e* and the x-axis from x = 6 and x = 9. www Start by identifying the…

A: Area under the curve f( x ) from x = a to x = b is given as  A = ∫x = ax = bf( x )dxGiven function y…

Q: Draw the solid by hand whose volume is represented by the double integral (4-2y) d4, where R R =…

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Q: π Determine the slope of the tangent line, then find the equation of the tangent line at t = 6 x = 2…

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Q: Find the average value of the function f (x) = x x on the interval [0, 2]

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