Find V· (V × F) if F(x, y, z) = 9 sin xi + 5 cos(2x – 3y)j+ 7zk. - V·(V × F) %3D

Q: V10x – 7y – 10 Find lim by rewriting the fraction first. 10x - 7y – 100 (x,y)→(10,0) 10x - 7y + 100

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Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

A: We can evaluate the given integral by using the following formula.

Q: f (x) = x² + 1

A: Given :

Q: lim In(z – 1) – In(x“ – 1) = %3D

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Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

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Q: lim 2?e --00 1- cos(2x) im

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Q: H.W (3) 1- find fxy fxx fyx fyy for f (x,y) = x2 +3xy- y*

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Q: L( +3x – 4)dx

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Q: d f'(3).

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Q: If y= In Cschx + coth y Biod dy

A: Given: y=lncschx+cothx

Q: 1.

A: Given,  ∫1+∞1xdx

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Q: Find the third degree Taylor polynomial centered at 2 for the function f(x)=e²* + 3.x .

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Q: A point Q moves along the intersection of the sphere a? + y? + 2² = 1 with the 2. At what rate is z…

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Q: Find all the first and second partial derivatives of the function f(x, y) = x²y – 3y“.

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Q: raluate the following definite integrals.

A: Topic:- definite integration

Q: Question 18 Find the length of the curve with the given vector equation. r(t) = (6 + 2t 3) i + (2t…

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Q: dx (х -1)3

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Q: 2. Give the domains for the following functions where: 1 f (x) = and g(x) = V4 – x 1 (i) (ƒ og)(x)…

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Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

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Q: -dx is an improper integral. A True B) False

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Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: Find the total income produced by a continuous income stream in the first 5 years if the rate of…

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Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: 6. Write an expression equal to log3(4) + log,(5) |using at most one log. 7. Give one example a that…

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Q: 10 10 If f(x) dr = 17 and f(x) dr= 12, then f (x) dr =5 A True B False

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Q: 21 13 f(x)dx – f(x)dr f(x)dx where a = and b

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Q: -dx is an improper integral. A) True B) False

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Q: Calculate xz dS, where S is the cylinder (including the top and bottom) x + y = 16, 0 < z < 5. %3D

A: answer is in next step

Q: uestion 19 Describe the largest set S on which it is correct to say that f is continuous. f(x, y, z)…

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Q: dx x* +4

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Q: 4 sin 3xcar" 3xdx

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Q: O5 D Set yp but do not evalvate em integral that represent3 the volume of the solid of…

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Q: If x=tan , then dr = coso de by trigonometric substitution. (1+x*)½" A True B False

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Q: I have this math problem that I am very stuck on Suppose that a, b, and c are unknown constants such…

A: answer is in next step .please give a like.

Q: 2. A turns 100 RPM and B 150 RPM as shown; they are connected by rolling cones. Calculate the cone…

A: Solution: wa = 100 rpm wb = 150 rpm

Q: Find the divergence of the vector field F. F(x, y) = 8xe*i – 7x²y²j |

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Q: Solve the initial value problem y' = xe ; y(-1) = 3

A: We can solve the initial value problem as below.

Q: Find the required limit or indicate that it does not exist. lim o+ (in (t6), 12 in t O 6i O Does not…

A: We have to find out

Q: Write the sum in sigma notation. 4 3 1. +- 6. 6. 26 | ... 8. 10 12 52 3+n Ce tn an= fram T 26 26 3+n…

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Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

A: Given query is to find cost function, revenue function and profit function.

Q: 5. Determine the following limits. If infinite, specify ∞ or -o. If an answer does not exist,…

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Q: (a) rªr- (b) y2 (c) e-4z+3e7z=3 ,71–3 (d) In(ez)

A: we have to simplify

Q: Ay 4- 2- -> 4 -2-

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Q: Consider the following function. T: R2 → R3, T(x, y) = (2x², 2xy, 2y²) Find the following images for…

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Q: If f(x) = [ V19+ t² dt , find f'(3)

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Q: Find the sum, if it converges. Σ6 i= 1 The sum is (Type an integer or a simplified fraction.)

A: In this question we have to find the sum if the series is converges.

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: Evaluate the following definite integrals. 3. If f(x) = V19+f dt ,find f'(3).

A: We can solve as follows

Q: For the rational function f(x) = find the following limits and identify the type of asymptote that…

A: Given: Rational function: f(x)=4x-1x+9