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Q: Match the equation with its graph. 16 56

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Q: Evaluate the integral / (6x + 18y)dx + (12x – y)dy along the parabolic arc y = r from (0,0) to (1,…

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Q: / Va2 – 1 ¢2 – 1 dx

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Q: Which type of discontinuity does the function exhibit at x = 3? %3D (-x2 + 1, -1 sx<0 2х, f(x) =…

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Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: Find the arc length of the parametric curve. 4 cos(t), y = 4 sin(t), z = 3t; 0<t<T L=

A: Here we have to find the arc length of the parametric curve.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 9) Radius.…

A: We are given center of sphere as (-1, -7, 9) and radius be 6. We have to find standard equation of…

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: Given:        ∮C7xydx+4xydy  Where C is the rectangle bounded by x=-1, x=2,y=1 and y=5  The formula…

Q: Let h(x)= f(g(x)) where f(x)=tanx. Then h'(x)= a) f'(tan x) g'(x) b) g'(x)tan(g(x)) c) g(x)…

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Q: 2 ConseaRa THe REGION BeUND RO BY Y= VX SET SET UP (BUT DU NUT EVALUATE) AN INTEGLAL FormuLA fOR: A…

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y°x²j+2z²yk. %3D div F= curl F=

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Q: 1+ cx, if x 2 Given the function: f(x) = C - x, What should be the value of c so thatf is…

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Q: Evaluate the definite integral. Using Fundamental Theorems Calculus. sin x 4 – x² dx V1 + x2

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Q: Set up and simplify the integral that gives the surface area of revolution generated by rotation of…

A: Given; y=x-x^2, 0≤x≤1

Q: By using variation of parameters, what is a possible value for u'1 for the differential equation y''…

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Q: principle of mathematical induction

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Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given :

Q: n° converges or diverges. If it 3. Determine whether the sequence a, n° – 2n° converges, find the…

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Q: d Calculate ri(t) r2(t)] and rı(t) x r2(t)] first by differentiating dt the product directly and…

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Q: se Hooke's Law to determine the work done by the variable force in the spring problem. A force of 9…

A: Given is the question of hooks law.

Q: Find V. (V x F), if F(x, y, z) = 6e"²i+ 2xe³j – 3ek. - V·(V × F) =

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Q: (y – Jx² + y² )dx -xdy = 0, when x = v3 and y = 1

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain.

Q: use the definition of the derivative to compute f'(x) given f(x) 3x+2

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Q: Find the volume oF the solid that results when the region enclosed by the give N curves y=e ソ=o, ×=…

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Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

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Q: d²y of the following equation then simplify whenever possible. 3) Find and dx dx- x = 3em y = 4e-m

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Q: The graph of f'. 2+ 1- (2,0) -3 4 -3 ±1+ -2+ (-2,-3) (2,-3) 5. The graph of f', the derivative of f…

A: We have to find the value of f(5).

Q: Consider the matrix 2 -1 A =| 1 3 -1 -2 2

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Q: It is known that dx Compute . Simplify the final answer. 2х-у dx

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Q: In chapter 10, we will be solving system of equations. Most of the time, we solve system of linear…

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Q: 2. The volume of the sun is 1.4 x 10 cubic kilometers and the volume of the earth is 1.1 x 102 cubic…

A: Earth mass

Q: View Policies Show Attempt History Current Attempt in Progress Your answer is incorrect. Find T(t)…

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Q: Let i 1 and i and let w = ü x v. Answer the following: 5 Find w. Give your answer as a vector in the…

A: Givenu=0i+j+5kv=-2i+4j-5ka)Givenw=u×vw=ijk015-24-5w=i(-5-20)-j(0+10)+k(0+2)w=i(-25)-j(10)+2kw=-25i-1…

Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places. E…

A: We can solve as follows

Q: ri(t) - r2(t)] = ri(t) × r2(t)] dt

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Q: Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 5…

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Q: Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America…

A: Given problem:- Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in…

Q: 2) Find and of the following equation then simplify whenever possible. dx x = 1+ Sin t y = Cos? t

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = – 0.004t? + 0.4t,…

A: Given,  M'(t)=-0.004t2+0.4t

Q: For the function g whose graph is given, state the following. (If the answer is positive infinite,…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Describe the graph of the equation. r = 3cos ti - 4 sin tj +k O An ellipse in the plane x = 1,…

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Q: Evaluate F. dr. F(x, y) = 7xi + 8yj C: r(t) = ti + V4 - t²j, -2 sts 2

A: Use line integral concept

Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4, 2)…

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Q: Use the formula K(t) = r(t) × r"(t)|| ||r(t)||* to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk…

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Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

Q: esin(a

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Q: 4) Find the critical points of the parametric equations x = t* - 1 y = t3 - t

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Q: Exercises: Find the derivatives of: 1. 1-y = (secx + tanx)(secx- tanx) 2- y = x2.cotx- x2 4. 1+cscx…

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Q: 2 4 Find an equation of the normal line to the curve 3x¯y' – x°cos(ny) + 4x + 2 = 0 at the point…

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