Determine the vector field of F. F(x, y) yi-xj

Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

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Q: EX2 Compute the secand erder partial Jerivative Fx ち,ち~ and a)

A: " Since you have asked multiple  question we will solve first one for you. Please ask specify…

Q: 1 Find the equation of the line tangent to y = e 4X at x = - In 3. 4 The equation of the line…

A: We have to find the equation of tangent.

Q: If you invest $6300 per year in a stock that grows at rate of 9% per year, how much will your stock…

A: We have to find the worth after 13 years.

Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 7 lim t 612 + 7't 1° = (?, ?)

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Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find the volume of the solid that is bounded by the surfaces z = = 92 - x2 - y2 in the first octant.…

A: 0≤ z ≤ 81-x2-y2z=0x2+y2=920≤y≤81-x20≤x≤9

Q: Зх +1 a) y =- 1 b) g(x)= Jx -

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t²i + t'"j K(t) =

A: Find k(t).

Q: Describe the graph of the equation. r = (8 - 31) i - 14 j O It is a plane in 2-space that goes…

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Q: Find for the parametric curve c(t) (t-1 – 5t, 41) at the point t = -2. dx (Use symbolic notation and…

A: Given problem:- Find dy/dt for the parametric curve c(t) = (t-1 - 5t, 4t3) at the point t = −2.

Q: h(x) = (5x-1 d) m(x) = (4x² – 9x} %3D

A: Product rule of differentiation: u·v' = u·v' + v·u'   ddxxn = n·xn-1 ddxf(x)n = n·f(x)n-1·f'(x)

Q: // dydx O Lan- Lan y sin x .5 kan (x/ 2) ** t e tan (x/2) sin x 0.5 1 sin x .5 tan (x/2) ** y 2 tan…

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Q: Given a = 3 units, = 1 unit and the angle between a and b is 30°, determine o) the exact value of (…

A: Solution:

Q: Зх+1 a) y =- 1 b) g(x)= Vx -

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Q: From 1990 to 2000 the student tuition at a University grew from $12,000 to $18,000. (a) Using the…

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Q: 17) Find the area of the serface genereted by revolving tue curr X> 3t, y=2t about fue x-Qx's on tue…

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Q: 5- ý = 4x+3y+2 3xt2yt1

A: This is a problem of differential equation. Based on the homogeneous system of equation concept we…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n5 +…

A: Use alternating series test for checking the convergence of series .

Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. (x2 - х) dx х2 +x+ 1

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Q: Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x…

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Q: 4- The graph of f is given in the figure to the right. Let A(x) = | f(t) dt and evaluate A(4), A(6),…

A: Integration gives area under curve  area above x axis is positive  area under x axis is negative.

Q: A company determines that its demand function is given by p(g) = - 0.4q + 2211 and that its cost…

A: Given

Q: cos x sinx dx- 3 COS

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Q: QUESTION 5 From a list of 13 recommended stocks at your brokerage, you want to select 4 of them to…

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Q: teimx dx xF I+ x²

A: Given query is to find the integral.

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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Q: alluse The g auss elemina fion to find the 2. -3 2. -2

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Q: e limit does not exist, enter DNE.)

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Q: Use the Limit Comparison Test for 9n? + 25 Σ 00 Σ an = n(n n=23 12)(п — 13) n=23 to prove…

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. | (4x2 + 9) dx…

A: To find the value of definite integral using  fundamental theorem of calculus.

Q: Find f(x) given that f'(x) = V+ x² and f(0) = 2.

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Q: et +e-* find the length of the curve h(x) = from x = 0 to x = In 2. 2

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Q: What is the angle between the vectors u = and v = ? 213° O 188° O 111° 120°

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Q: f(r) = Va +4 – 2 Complete the following table and use it to approximate lim f(r) (Round to six…

A: The given function is: fx=xx+4-2   So, at x=-0.1 f-0.1=-0.1-0.1+4-2=3.974841 At x=-0.01…

Q: A particle is moving in a straight line according to the position function s(t) = t° – 6t2 +9t + 5,…

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Q: Find T(t) and N(t) at the given point. r(t) = 5 cos(t)i+ 5 sin(t)j; t = 3 T 3. N(E) || ||

A: We have to find the unit tangent and normal

Q: 8. Find the volume of the solid generated by revolving the shaded region about x-axis. 10+y 9- y = -…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

A: We need to find the surface integral.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: x'y" – xy' + y = In(x)

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Q: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, find the…

A: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, then we have…

Q: Find the arc length Lof the graph of r(t). r(1) = r° i+t j+Võr² k, 3 <155 V61² k, 3 <1< 5

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Q: Let R be the region shown in the accompanying figure. Fill in the missing limits of integration. y =…

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Q: dx J (9x2-36)3 a. b. rV2-ezx dx ex V5+ln²x dx C.

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: The vat shown in the accompanying figure contains water to a depth of 1.5 m. Find the work required…

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Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A: