NJ 2 AY 4 X

Q: 8. For the curve given by r(t) = (2 cos(t), 2 sin(t), 2t + π), find (a) the unit tangent vector (b)…

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Q: Find the divergence of the vector field F = div F =

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Q: Find the curl of the vector field F = <yx³, xz³, zy² curl F = i + k + V

A: For the given field F=yx5, xz3, zy2, we need to calculate the curl. This can be evaluated as…

Q: If z = -1e²+3y, find the differential dz. et² + dz= on below +2y (2x dx + 3 dy) Submit Question

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Q: Test the series below for convergence using the Ratio Test. n² 1.4" The limit of the ratio test…

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Q: Find df (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0} 500 3 X

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Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

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Q: Find c such that f(c) equals the average value of f(x)=4x+6 over [−7,−2].

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Q: Question 8 (Biological Elimination of Chemical Substances). The way in which the human body breaks…

A: Given: Tylenol has a biological half life of around 2.5 hours. The amount of Tylenol can be modelled…

Q: Determine if the function is continuos. If the function is not continuous, find the x-axis location…

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Q: Use integration by parts to evaluate the integral: S² In(x) x² -dx = Report your answer accurate to…

A: ∫13lnxx2dx

Q: -3 -2 -1 6 + 3- 2 1 1 2 30

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Q: The gradient of f(x, y) = e. sin(1y) at (x, y) = (-3, 1) is defined as followed V f(x, y) = (fz(-3,…

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Q: Find the arc length of C. First find and simplify √√/1 + (y')² = = 0.3 /1 + (y')² dx = | -0.5 Give…

A: The curve is y=5ln25-x2 for -0.5≤x≤0.3.            A graph of y is shown below :…

Q: Consider the function f(x) = 10x + 4z - 8 - 9. An antiderivative of f(x) is F(x) = Aï" + Bx" +…

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Q: 4. The graph of f(x) = x³ has been transformed into g(x) shown below:

A: The graph of fx=x3 has been transformed into gx shown below :

Q: Find average rate of change for the function over the given interval. 5x³5x²-7between x = -9 and x =…

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Q: Evaluate y ds, C: z = t², y = t, 0≤t≤7

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Q: Find the length of the curve r(t) = 3ti+tj-tk, -2 ≤ i ≤ 1 t

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Q: 7a. Find the Taylor Polynomial P3(x) that uses a Taylor Series centered around x=3 to approximate…

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Q: Consider the vector field F = Evaluate ef F r(t) = t²i+t³j, 0≤ t ≤ 3 F. dr along the curve C:

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Q: Evaluate = fay²da + zªdy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: Find SS₁ 6zdA over the region R = {(z,y) | 0 ≤ z ≤ 2,0 ≤ y ≤ 6} by indentifying it as the R volume…

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Q: Find the area of the surface generated when y=2√ x from 1≤ x ≤ 4 is rotated around the x-axis.

A: Find the area of the surface generated when y=2√ x from 1≤ x ≤ 4 is rotated aroundthe x-axis.

Q: Find the local maximum of f(x,y) = 6xy - 4x - 9y - 4x²-4y2 Find the critical point(s) and check the…

A: Find the local maximum of  f(x, y )= 6xy-4x-9y-4x2-4y2 Find critical points and check the value of…

Q: Electric charge is distributed over the triangular region D shown below so that the charge density…

A: We can solve this question by the help of double integration method  First find the equation of line…

Q: Find the indefinite integral. (Use C for the constant of integration.) J 3 dx (x + 9)³ Find the area…

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Q: Find the divergence of the vector field F = <yx, xy¹ div F = V

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Q: Evaluate the following iterated integral. ye* dy dx Olle-11-6e-6 O 6e-11e¹1 6e-6-11e-11 бе

A: ∫611∫1x2ye-xdydx Given double integration

Q: A long straight river, 100 meters wide, is flowing at 1 metel per second. A pollutant is enterin…

A: To solve the following problems using given information.

Q: The plane through the points (8,-2,-5), (4,-7,5), (3,-1,8) has equation Ax+By+Cz = D. If A = -75…

A: Given: The plane through the points (8,-2,-5),(4,-7,5),(3,-1,8) hasequation Ax+By+Cz=D. We are…

Q: ) x5√x² + 1dx

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Q: Find the general solution of the following differential equations: (a) y? Ax=(xy-x)dy

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Determine the equation of the tangent line to the curve: y = 3x when x = -1.

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Q: Use the integral test to see if it converges or diverges

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Q: Find an equation of the largest sphere with center (3, 2, 4) that is contained in the first octant.…

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Q: MODELING REAL LIFE In 2014, there were about 7 billion cell phone subscribers in the world. During…

A: In 2014, there were about 7 billion cell phone subscribers in the world. During the next 5 years,…

Q: What are the coordinates of the vertex? -6 O (5,0) O (5,4) O (4,6) O (4,5) -4 -3 -2 -1 (0 8 -7 6 5 4…

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Q: Find the equation of the line in slope-intercept form. Equation: y= ?

A: We have to find the equation of the straight line in the form ,  y= mx+c ,  where m is the slope and…

Q: 49. 8 k=3 1 In k

A: We have to check the convergence of the series: ∑k=3∞1lnk

Q: Find and classify the critical points of z = Local maximums: Local minimums: Saddle points: =(x² -…

A: We need to find and classify the critical points of z=(x^2-4x)(y^2-7y).

Q: Find the divergence of the vector field F = div F Calculator Check Answer

A: We have to find the divergence of the given vector field.

Q: Find all solutions of 2 sin(2x) +√3= 0. Give your answer(s) in exact form (no decimal equivalents).

A: Find all solutions of 2 sin 2x + 3=0.

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Given diameter of hemispherical dome=60 mLet radius of hemisphere=r m

Q: Find the general solution of the differential equation (4)-40y (3) -40y +400y"=0

A: Given differential equation y( 4 ) - 40y( 3 ) + 400y'' = 0Let d be the differential operator

Q: The function of the graph below has the concavity at (-3, 3); and inflection point at x 0. = y 4 2 4…

A: We need to find the concavity point and inflection points using the graph.

Q: 4. First, sketch a picture of the line which passes through P = (1, 1, 2) that is perpendicular to…

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Q: (a) Evaluate the sum 20 Σ(2k2 + 3k – 5). k=1

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Q: Find the area of the shaded region, if it exists. (If an answer does not exist, enter DNE.) y=e³x -…

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