P(0, 0, 0), Q(6, 6, 3)

Q: Let f(x) = 2(x − 1)^2 (2x + 1) be a function. Find all critical numbers of the function and…

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Q: Y – C(Y)-I(i)–G, =0 kY +L(i)– M20 =0 %3D

A: answer is in next step

Q: Evaluate the triple integral. Xyz dV, where G is the solid in the first octant that is bounded by…

A: Integral

Q: You are given the following information about a termite colony population. The current population is…

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: ∫tndt = t(n+1)/(n+1) +C ,C is a constant and for any real number n. d/dt (tn)= nt(n-1) , for any…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz da dz dy = -36 J-24

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Q: -3 2. (2x+4)3 8x dX use integration by parts and then find the value of definite integral.

A: A detailed solution is given 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: 2 Find the cartesiun equation for the polar Carre rこlcos . Al(x-2)²+y2=4 ty²-4 %3D c)x²+ Cy-2)?=4 D)…

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Q: I. Evaluate the following antiderivatives. tan (VT) + 2 1. TE (sec(/r) – cos(/#)) dx Cos(V))

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Q: Suppose that f (x) is a function such that lim f(r) and lim f (r) both exist. Does this mean lim…

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Q: 25. z arctan r dr dr 26. Jo (z – 1)² 27. e sin z dr

A: A detailed solution is given below.

Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: The detailed solution is given below Thank you

Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: Evaluate the double integral. / 5x(4 + y) dA; R R is the region in the first quadrant enclosed by y…

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Q: H.W: Evaluate the integral 3 0 | (x?y- 2xy)dydx 1. 0 -2

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Q: Find the vector projy u. u = 3 i - j+ 3 k, V = 2 i+ j+ 2 k

A: We want to have projection vector. Projection of vector u on v is given by u.vvv⏞

Q: x³ Jx² +3dx

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Q: Let f(x) : Int dt. Find f'(x).

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Q: (x) = 3x +4x+1 find (x) and "(x)

A: Topic:- application of derivatives

Q: V = f(x, y) = x²y ,x(t) = 2.

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Q: $3000 is invested in an account at interest rate r = 0.035, compounded continuously. (Round your…

A: Given that $3000 is invested an account at interest rate r=0.035, compound continuously. we have to…

Q: Find the equation of the plane perpendicular to the line x 2t, y = 6 - t, z = 4+t and containing the…

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Q: Q4) Find the turning points and the local maximum and local minimum of the given function x 5 y =…

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Q: Solve the following differential equations of dy 1 y= xy'; dx x

A: To solve the following differential equation

Q: 4. dr 4-

A: Given: ∫02x34-x2dx

Q: uestion 7 1. Write an expression equal to log;(6)|using only base-2 logarithms (i.e. log;). 2. Write…

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Q: Answer is incorrect

A: Apologies for the inconvenience. In the second last line there was a calculation mistake.

Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

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Q: Question 5 3 Consider the function f(x) = Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: ​(A) Find the average value of the function over the indicated interval.   ​(B) Graph the function…

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Q: + 3x° +3x*.

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Q: Find an equation of the hyperbola having foci at (1, -7) and (1, 3) and vertices at (1, -5) and (1,…

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Q: dy x(2lnx+1) dx sin y + y cos y

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Q: Question 28 Find T, N, and B for the given space curve. r(t) = (In (cos t) + 8) i + 7 j + (5+t) k,…

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. -dx…

A: using method of substitution

Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.

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

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Q: -3

A: topic- definite integral

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: Solve the problem. 12-64 For what values of t is r(t) = ti+ j continuous? 12 + St O {te D: t#0 and…

A: We have to find out

Q: dx V1-e2x

A: A detailed solution is given below.

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: ) Syppose f and g are functions with continuous lerivatives, and that they satisty the following. S…

A: Let's find.

Q: 11) In Problems 11 and 12, given f(x) and g(x ) are continuous everywhere with the values: 2 X =…

A: A detailed solution is given below.

Q: 7. Gven that ärb =-6, Jā||= 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector…

A: We have to find if the given vector is unit vector or not.   According to our guidelines we can…

Q: / (3Vi-1)dt is 3 -1 by the 2nd fundamental theorem of Calculus. The derivative with respect to x of…

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Q: Compute the given improper integral. Enter the exact value of the answ 13 1 dx x² – 25

A: Here we have to find the exact value of ∫5131x2-25dx=?

Q: Question 27 The position vector of a particle is r(t). Find the requested vector. The velocity at t…

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