1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x = t2,y = 2t, z = -t, 1

Q: Find the coordinates of the point in the curve y = 12x - 2y + 23 that is nearest to the point P(10,4...

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Q: Consider the function f : R → Rj, f(1) = (x – 4)°. Complete the following: fis because the equation ...

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Q: If z = y + f(x^2-y^2), where f is differentiable, show that y(∂z/∂x) + x (∂z/∂y) = x.

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Q: Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = ...

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Q: Find the indefinite integral. sin 66 V cos 60 d

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Q: .2 What is the reversed order of integration of 1 dxdy? a. II Vx* +1 dydx 0, O b. x4 +1 dydx 0, .8 x...

A: Topic:- application of integration

Q: How many distinguishable ways can you arrange the letters in the word ACCOUNTANCY such that all vowe...

A: topic - permutation and combinations

Q: The Maclaurin series of the function f(x) = 6z tan-(9z) %3D can be written as f(2) = Cnz" n=0 where ...

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

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Q: Solve and check the equation. 6x – 5(x+ 6) = 2x - 3 Select the correct choice below and, if necessar...

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Q: Find the radius of convergence and the interval of convergence. EA (* + 6)* k=0 Radius of convergenc...

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Q: sin(In r) 5. Use the Squeeze Theorem to evaluate lim 1-40+ In (sin z)*

A: Solution is given below:

Q: Calculus Business Application Worksheet 1. A manufacturer makes fuel tanks for cars. The total weekl...

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Q: Degree of function: Zeroes and possible multiplicities: y-intercept: Leading coefficient positive or...

A: Graph

Q: %3D %3D Find the area of the region enclosed by y = 4e", y 9e- and x = 0. 7. 5- 2- 1+ 0.1 0.2 0.3 0....

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Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

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Q: Express the vector in the form ai + bj + ck. PĮP2 if P 1 is the point ( -6, 3, 6) and P 2 is the poi...

A:  A vectoe  from point A(x1 ,y1,z1) to  B(x2 ,y2,z2) is given as AB→=(x2-x1)i+(y2-y1)j+(z2-z1)k

Q: 1 if x - 1 I-2

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Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

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Q: + y + Y а 4x 4z = b 2y 2z C -

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Q: 10. Determine three positive numbers whose sum is 48 and such that their product is as large as poss...

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Q: (1 point) Let h(x) = f(x) · g(x), and k(x) = f(x)/g(x). Use the figures below to find the exact valu...

A: Find your answer below 

Q: 2n a. Find the local extrema of the function f(x) = cos 3x + 3 sin 3x on the interval 0sxs and say w...

A: 0≤x≤2π30≤3x≤2πf(x) = cos 3x +3 sin 3xf'(x) = -3 sin 3x + 33 cos 3x f'(x) = 0-3 sin 3x + 33 cos 3x=0t...

Q: For each of the following matrices, either find its inverse or say how you know it isn't invertible....

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Q: Current Attempt in Progress = Write out the first four terms of the sequence (1+ (-1)"). starting wi...

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Q: The graph of the equation 3x2 +2y2 +6x-16y+F=0 is either an ellipse, a point or an empty set. What s...

A: Equation of ellipse is (x-x1 ) 2 /a2+ ( y-y1)2/b2 =1

Q: In the quadratic equation Ax2+ Bx + C=0 describe the roots when 32 -4AC is negative. The roots are r...

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Q: Question 2 --> Find the Stalionary Values of the fllcwing functions and show wheher they reecesent M...

A: Note :- These are the multiple questions and according to our company guideline we can do maximum on...

Q: For the given function f(x,y)=x<y3+3x³y, find a flay O 2xy³+9x² y • 3x3y2+3x3 6xy2+9x2 O 2+18xy

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Q: Match the sequence with the given nth term with its graph. 10n an n + 1 an an 10 10 8. 8. 4. 2 4 6 8...

A: here given  an = 10n/(n+1) for plotting put point 1,2,3,4...... first wwe put 1 a1= 10(1)/(1+1) = 5 ...

Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x) different...

Q: Use the 2016 marginal tax rates to compute the tax owed by the following couple. A married couple fi...

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Q: TRAN SFER TRANSFER ACTIVITY 2: INTEGRATION THROUGH SUBSTITUTION Direction: Evaluate the following in...

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Q: e lan-1n Σ n=1 n + 1 2

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Q: Let F(x,y) = 2x + 3y . If (x , y) changes from ( 4,7) to ( 6 , 10) , find A F and dF. Enter AF in Bl...

A: To solve the following problem

Q: 1- cosx dx A -2/2cos- +C B 2/2cos- +c -2/2 sin-+C 2 D 2/2 sin- +C

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Q: dy Find if y= (sin x)-1 dx O csc? x O csc x cot x O cor? x X. 1 1-x²

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Q: What integration technique can be used to integrate: 5dx V3+ x2 Integration Formulas Trigonometric S...

A: topic- indefinite integral

Q: QI) Find the volume of the solid generated by revolving region bounded by the curve (x-Jy)& the line...

A: Volume

Q: point is OD. (Type an ordered triple.)

A: We are asked to find farthest point from sphere.

Q: Sy sin 3ydy

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Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4) , y(t) = t 2 and z(t) = 3 - t. Find...

A: Given that :    W= f(x,y,z) = xy+yz+xz.  Here we use chain rule to find dw/dt  at t= 2.   Here i att...

Q: Match the sequence with the given nth term with its graph. 10n %3D n + 1 10 2- 8 4. 主十 2 4 6 8 10 -1...

A: topic - sequence and series

Q: Express lim E=1 Ax ||PI0 as a definite integral where P is a partition of [0,2]. k%3D1

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Q: (a) Show that the vectors v = and w = 2 are linearly independent. (b) Explain why 3 vectors in R" of...

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Q: The Maclaurin series of the function f(x) = 9 cos(10z?) %3D can be written as f(x)= Cna" where a few...

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Q: Find dz/dx and dz/dy for: x² sin (y³) + xe32 – cos(z²) = 3y – 6z + 8

A: Here, the given equation is: x2sin(y3)+xe3z-cos(z2)=3y-6z+8...(1) So, z is a function of x and y

Q: e zoo is building a new polar bear exhibit, and wants to put a semi-circular window in the concrete ...

A: Please refer to the image below

Q: ne region bounded by f(x) = - 1x + 7x + 18, = 0, and y O is rotated about the y-a ne volume of the s...

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Q: If r(5)=0, then which of following must be true? Olimf(x)=0 x+5 f(x)-f(5) -o lim x-5 X-5 fis continu...

A: Here we have given that  f'(5) = 0 We have to find which option is correct.