dx Ух — 12

Q: Find div F and curl F if F(x, y, z) = 3y°z°i – 3x*2°j – 3xy*k. - div F= curl F=

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Q: Find the equation of the tangent to the graph of f(x) = x-3 at the point (5, 4). Start by evaluating…

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Q: Find the derivative of the function f(x) = 4v3x² – x. 12х - 2 A. V3x2-1 6х - 2 бх — 1 C. V3x2 –1 E.…

A: To find the derivative of f(x)=43x2-x

Q: Find the integral of your answer in problems 2a and 2b. Note: My answer on 2a and 2b will be found…

A: Here we have to find the area.

Q: /hat is the area of the region bounded by the graphs of æ = y³ – 2y and DA = (3x – x² )dx DA = (? –…

A: Topic:- application of integration

Q: Consider the following. f(x) = x4 – 9x2 g(x) = x2 – 9 (a) Use a graphing utility to graph the region…

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Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Here, note that the distance between two police cars is 39 miles and the time between them is…

Q: The function f(x) = - 2a3 + 36x2 192x + 8 has one local minimum and one local maximum. This function…

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Q: Double USA, manufacture of the Nicolas cage pillow has determined that the marginal daily revenue…

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Q: Find div F and curl F if F(x, y, z) = x²i – 7j + yzk. div F= curl F=

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Q: Use Green's Theorem to evaluate the line integral (y - x)dx + (2x - y)dy for the given path. C: x =…

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Q: Find the first four nonzero terms in the Maclaurin series for f(x). f(x) = e 5x sin x ... Choose the…

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Q: Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

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Q: If the roots of a homogeneous DE with constant coefficients were: m1= 0, m2 = 3 & m3 = 2 ± 3i , what…

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Q: Use substitution to find the Taylor series at x = 0 of the function In (1+3x*). What is the general…

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Q: f(x) 7xe-x, y = 0, 0 <x < 1 ketch the region bounded by the graphs of the equations. 3- 2- y 3

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Q: Find the extrema for F(x) = x*/x+1 on the interval [-l]

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Q: Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

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Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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Q: Find V (F x G), if F(x, y, z) = 11xi +j+ 13yk and G(x, y, z) = xi + yj – zk. V. (F x G) =

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Q: a" + C,C E R. In a If a is any positive number except 1, then a" du True False

A: The given statement is True.The exception exist at a=1 because then in denominator we will have ln1…

Q: 4. Evaluate lim (cos r)/**.

A: We know that limx→0f(x)g(x) is of the form 1∞ then limx→0f(x)g(x)=limx→0eg(x)f(x)-1

Q: Describe the graph of the equation. r = (7 – 21) i + 10r j | O It is a line in 2-space through the…

A: The given equation is: r(x,y)=(7-2t)i+10tj⇒x=7-2t    y=0+10t

Q: 55. At 9 A.M., ship B is 65 miles due east of another ship A. Ship B is then sailing due west at 10…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: A man has $380,000 invested in three rental properties. One property earns 7.5% per year on the…

A: Given problem:- A man has $380,000 invested in three rental properties. One property earns 7.5% per…

Q: 1 2 3 1+3* Use substitution to find the Taylor series at x= 0 of the function ... 1 What is the…

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Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) = to find k(t). r(t), = t’i + t°j K(t) =

A: Let's find.

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A: Here we have to use green's theorem.

Q: Čonsider the following equations. 3 f(x) .3 y = 0 X = -4 х3D —1

A: To find the area of the region bounded by the given curves.

Q: Find the area with respect to y of the region bounded by xニy+2, ×=o, y=-! and ソミ2

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Q: Suppose a curve is traced by the parametric equations 3(sin(t) + cos(t)) = x у 3 18 — 6 соs"(€) — 12…

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Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 5y and…

A: To find the integral of volume of solid formed by revolving the given region.

Q: Verify Green's Theorem by evaluating both integrals aM y? dx + x² dy = | / (G dA ay əx for the given…

A: Solved below.

Q: A cylindrical container with circular base is to hold 64 in3 . Find its dimensions so that the…

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Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[15-3t]

A: The given laplace transform,  L15-3t

Q: (b). lim zInz² et

A: To evaluate: limx→0 xlnx2ex Using logarithmic property we can write the given limit as  limx→0…

Q: Evaluate

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Q: Sx³e*²dx 3. X°e

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Q: Find all the values of x where the tangent line to the function f(x) = x° - 8x - 6x +2 is…

A: For horizontal tangent line dydx=0 Given :

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

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Q: Problem 37: Convert the following complex numbers from rectangular form to polar form: a. 4+ j3 b.…

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Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (-2, -3) in the direction 0 =…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

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Q: sin? (x) cos (x) dx

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

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Q: If f(x) = u(x)t(x)w(x), then f'(x)= a) u'(x)t'(x)w'(x) b) u'(x) + t'(x) + w'(x) c) u(x)t'(x)w'(x) +…

A: Solution ) f (x) = u(x) t(x) w(x) To differentiate use product rule  [ Formula d/dx ( f (x) . g(x) )…

Q: find cke endefinite integral using entagrstion by parts with gle given choices of de far Oe constant…

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Q: Let 7(t) = Find )dt (don't include the +C)

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Q: Find: W(e2x, –5e3x) A. 5e3x B. 4e5x C. -5e5x D. -4e* E. None

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