Match the vector field with its graph. F(x, y) = yi -6+ 世 -5+

Q: Match the vector field with its graph. F(x, y) = xi + 3yj -st

A: Plot the given vector Fx,y=xi+3yj.

Q: (1-) 3 4. lim

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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. %3D V. (F x G) =

A: Given,            Fx,y,z=11xi+j+13yk and Gx,y,z=xi+yj-zkTo find : ∇·F×G

Q: Evaluate F. dr. F(x, y) = xi + yi C: r(t) = (3t + 4)i + tj, Ostsi

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Q: Evaluate the line integral / (4x + 8y)d.x + (4x – 9y)dy along the curve C : x = 10 cos t, y = 20…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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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: sin? (x) cos (x) dx

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Q: a/a + b/b 189 a/b + b/a = 180 Find a and b value

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Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

A: This is a problem related to derivative of the function. For calculating the unit if derivative…

Q: The motion of a point on the circumference of a rolling wheel of radius 3 feet is described by the…

A: Given: r→t = 310t-sin10ti→+31-costj→ We know the following rt  =…

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

A: Here,  a→(t)=3t i^+6 sin(t)j^+cos(2t)k^⇒v→(t)=∫3t i^+6 sin(t)j^+cos(2t)k^dt⇒v→(t)=3t22 i^+6…

Q: 9.) A particle moves in a straight line according to the law of motion: s=cos(x). a. Find the…

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Q: Find the value of the derivative of g (x, y) when we restrict to the curve defined by x = cos t and…

A: Differrtiate with respect to t

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

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Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Sketch the region R and evaluate the iterated integral (x, у) dA. - 2x + 8y) dy dx y y 2.0- 2.0- 1.5…

A: In this question, Firstly, we sketch the region and after that find iterated integral.

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

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Q: complex form and COS U+ i sin o) be the polar form Idition and subtraction between two complex…

A: Topic:- complex number algebra

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: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 18x + 2…

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Q: What is the differential equation whose solution represents the family y = Ae3x + Be4x+Cxe4x? O…

A: Given problem:- Find the differential equation whose solution represents the family y=Ae3x +Be-4x…

Q: Use logarithmic differentiation to find

A: answer is in next step

Q: QUESTION 2 Find an equation of the tangent to the curve at the point by first eliminating the…

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Q: Which among the choices is NOT true about the continuity of f(x)? if x 1 X, メ, 2 f(x) = (2 – x), O…

A: Solution

Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE,…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: ||r(t) x r"(t)|| Use the formula k(t) = to find k(t). ||r"(t)||° r(t) = t'i+ t°j K(t) =L

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Q: 2) Find of the following equation then simplify whenever possible. and dx dx2 x = 1+ Sin t y = Cos?…

A: The given parametric equation,   x=1+sin t, y=cos2t

Q: im 2x² Sin 4x²

A: Given query is to find the limit of the expression.

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: B. Find the area of the region bounded by the following:

A: answer is in next step

Q: Find the area of the following region bounded by the graph of f(x) = (x - 5) and the x-axis between…

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Q: Find curl (4z i+ 5x j+ 8y k). curl(4z i+ 5x j+ 8y k) = ( )i +( i j+( i )k

A: To Find : curl(4z i + 5x j +8y k)   Note that : If F=〈P,Q,R〉 is a vector field in ℝ3, and Px,Qy, and…

Q: Find V. (V x F), if F(x, y, z) = 3e"i+ 7xe"j – 3ek. V.(V × F)

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Q: Given that lim f(x) = 9 lim g(x) = -4 x 2 lim h(x) = 0, find each limit, if it exists. (If an answer…

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

A: Given

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

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Q: Use an appropriate form of the chain rule to find the derivative. R= e5s-t. s = 80, t= ¢!/2 %3D dR…

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Q: Find the extrema for F&)= Sin Cx) + cos (x) on the interval [o,E| %3D

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Q: (2x – 3y) dx + (2y – 3x) dy

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Q: Solve

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Q: The graph of f(x) is shown (see figure). f(x) %3D Vx2 +7 Net draw o scale (a) Find the following…

A: Solution: f(x)=9xx2+7

Q: Find curl(4= i+ 5x j+ 6y k). curl(4: i+ 5x j + 6y k) = ( i )i + ( i )j +( i

A: We have to find curl

Q: Directions: Compute f'(3) for each of the following function. Then connect item A to item B by using…

A: We have to find the value of f'(3).

Q: 1 On which of the following interval is f(x) = continuous? - O [2, +0) O (2, +) O (-00, +0) O (0,…

A: Given,  f(x)= 1/sqrt(x-2)

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: (5x2 – y²) dx + 2ydy = 0

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Q: dz and ду dz Find z = a° In (1+ cy) az dz ду ||

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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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