calculate 1.100 1/2 dz, and 1100 1/2 dz x² x²

Q: a. Find the arc length function for F(t). s(t) = b. Find the arc length parameterization for r(t).…

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Q: (-8.5,0) -13 (-9,-3) (-7,3) (-5,0) (-3,-5) (4,0) -6 (0,-1) (3,-1) (6,2) -1,-3) y = f(x) (8,0) 13x

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Q: dy = x³ where y = 7 when x = 0. dx What is the value of y when x = 4 to significant figures? 12 15…

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Q: for what value of the number k does the function f(x)= (1+kx+x^2)e^x have f'(0) =3

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Q: g(2,1, 2) dV over solid B. B = {(x, y, z) | 1² ≤ x² + y² ≤ 5², x ≥ 0, y ≥ 0,3 ≤ z ≤ 7} and g(x, y,…

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Q: 2. A waterwheel with radius 7m, has 1m submerged. The wheel rotates at 6 revolutions per hour. Time…

A: waterwheel

Q: Find (3). (If an answer is undefined, enter UNDEFINED.) f(x) = x²-3x - 4 g(x) = x² - 9x + 18 (4)(³)…

A: Given

Q: e or plane that is perpendicular to the planes 4x-2y + 2z= -1 and

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Q: To test the series Test, as is the case with all series of this type.) According to the P-test: 1…

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Q: If F(x)=4-x and g(x) = 2x +3, find a value of such that F(x - 2) = g(2x). 40 22/10 0-2 O 0-1/3 O LO…

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Q: if f(x)= xe^x, determine f^(400) (x)

A: To determine the 400th derivative of the function f(x) = xe^x, we can follow a systematic approach…

Q: Given f(x, y) = 10√/8x5 + 7y + 2xy, find fz(x, y) = fy(x, y) =

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Q: Replace R₂ by (-8)R₁ + R₂. 14-8-7 84 7 8 -5 1 5 2 (-8)R₁ + R₂ = (-8)R₁ + R₂

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Q: Use the graph to determine the domain a -16 -12 -8 X=-3 16- ¹12- 8- 12- y = 5 8 i x = 3 12 X 16

A: The graph of the function isTo determine: The domain and the range of the function.

Q: 5π Determine the exact value of sin- 12

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Q: Q7. If a beam of light that has intensity k is projected vertically downwards into water, its…

A: If a beam of light that has intensity k is projected vertically downwards into the water its…

Q: 4. An object moves horizontally from rest. Its position, s, in meters, after t seconds is given by:…

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Q: 4. x-6 3 a) Determine the point of intersection of the two lines. b) Determine the acute angle…

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Q: The number of ants in Bob's kitchen increases at a rate that is proportional to the number of ants…

A: Given that,There are 20 ants on day 0, and 60 ants on day 4.And,ants are increases proportional to…

Q: A region bounded by f(x) = Væ + What is the volume of the solid formed by revolving the region about…

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Q: Find the transition matrix from B toB'  B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}, B' = {(0, 0, 1), (1,…

A: Given :- To Find :- The transition matrix from B toB'

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

A: To find the volume  of the solid S generated by given R: R is the region bounded by  and  and it is…

Q: Show that dri dt = r2 dr2 r₁ dt. If r₁(t) = t², what is when A₁ = 4A₂? dr2 dt

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Q: 324,999,900 S 325,000,000 1+3,249,999.-० -0.2X

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Q: :. Calculate the total amount of interest earned from this investment during the 4-year period.

A: The amount invested, P=$13000Interest rate, i=5%Compounded frequency, m=2 (semi-annually)

Q: Evaluate: log,6 O -1.631 O 18 -0.613 1

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Q: 3. integrate mathematical statements into grammatically correct expositions. Assignment: Find all…

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Q: If ƒ(4) = 3 and fƒ'(4) = −5, find g'(4) where g(x) = √xƒ(x).

A: To find g'(4) where g(x) = sqrt(x).f(x)  also given f(4)=3 and f'(4)=-5Derivative using product rule…

Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: 1 x-y+z=-3 (2)…

A: a) Two equations of plane,we have to find the vector equation of the line of intersection of the two…

Q: 27. cos5 x sin³ x 3 si dx

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Q: Write the row vectors and the column vectors of the matrix.   0 −3   −2 1 (a) the row vectors…

A: I have appended the concept used in the solution procedure part

Q: 9 Given the image to the right, what is the probability of selecting a black marble three times in a…

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Q: -1 If .0 f(x) dx = 1 and ¹9(2) dx = − 1, what is the value of -5 -1 −5 ≤ x ≤ −1, −1≤ y ≤ 0? […

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Q: Determine the exact value (no decimals) of the slope of the tangent line to πT f(x) = −2 sin x at…

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Q: (b) Consider the first order linear differential equation dy Y + dx x-1 = 2 (i) Find the integrating…

A: Consider the first order linear differential equation.(i) To find the integrating factor for this…

Q: dy dx = (y +9)(y-9), where y(0) = 8 The partial fraction constants in the partial-fraction method…

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Q: Which of the following equations represents an ellipse with x-intercepts +2 and y-intercepts ±3? O 3…

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Q: 2²4 2²4 The two-dimensional Laplace equation + -= 0 describes the potentials and steady-state…

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Q: 2 Find the volume of the region bounded above by the paraboloid z = x² + y² below by the triangle…

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Q: Many populations are facing negative growth rates. If the population of the Ukraine was 60 million…

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Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

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Q: Let f(x, y) = 2x² + 3x + 4y+3y² - 10zy List the critical point: The critical point is a Select an…

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Q: What is the area of the region bounded to the right by = by x = y²? 543-2-1 2 3 4 5 O co/ co/ col∞o…

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Q: Using the sum and difference of cosines formula, find the exact value of cos Enclose numerators and…

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Q: Find the gradient of the function f(x,y)=√2x+3y at the point (-1,2). Then sketch the gradient…

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Q: Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 9 and k = 1 is set in motion…

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Q: 10. The position of an object moving in a straight line is given by: S(t) = -2t³ + 5t² - 10t +20 (S…

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Q: Determine the equation for the tangent to the curve f(x)=In(1+e') when the tangent is parallel to…

A: Here, we need to determine the equation for the tangent to the curve f(x) = ln(1+e^x) when the…

Q: Use the pair of functions f(x): = x² + 5, f(g(x)) = g(f(x)) = to find (g(x)) and g(f(x)). Simplify…

A: given

Q: Plane through points A(2, 4, -1), B(3, 0, 2), and C(-1, -2, 5). A B Does = [1,2,-2] lie on the…

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