Find the arc length of the space curve given by the vector function t3 i + t2 j + (2t + 1) k from the point P(0 ,0, 1) to the point Q (9 , 9 , 7) on the curve. Enter an integer or a fully reduced fraction such as 14 , 7/9 , etc. No Spaces Please.

Q: Evaluate the double integral x sin(x + y) dA where R3 [0, 풍] x [0, 플] %3D

A:

Q: H.W: 1. find the derivative of the function f(x, y, z) = xy+ yz+ zx ,at the point P,(1,-1,2) in the ...

A:

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (A: Quadrant I, x : Quadrant...

A: Given query is to find the value of the indicated angle.

Q: The position vector of a moving particle in space at time t is given by the vector function r (t) = ...

A: position vector of particle in space r→(t)=12(5-t)2i→+(2t-1)j→+43(5-t)32k→

Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A: Given,            y'=ey-x , y0=0To find : the solution to the initial-value problem.

Q: What is the standard form of equation of a circle centered ar C(h, k) whose radius is r? A (x-h) + (...

A: Solved below

Q: 2x – x3 dr (х — 1)2(х2 + 1)

A: Given that ∫-∞02x-x3x-12 x2+1dxSolution :2x-x3x-12 x2+1=Ax-1+Bx-12+Cx+Dx2+12x-x3x-12 x2+1=Ax-1x2+1+B...

Q: f(x) = In (1 – 8x) Choose the Maclaurin series.

A:

Q: Consider the following functions. f ((-3,-2), (2, 0), (1, – 1), (–2,-5)} and 8= (5,0), (0, 1), (1, 1...

A:

Q: Use cylindrical coordinates to evaluate the integral 2²dV where E is the solid that lies within the ...

A:

Q: 8) y=-1 +2cos 0 3 37 37C 2 2.

A: Given query is to graph the function.

Q: Essential Question How do you evaluate cube roots and square roots?

A: Asking: show all thr details step by step to finding cube root and square root. 

Q: Find the derivative of the function using the power rule.(5 pts each) (a) f(x) = 3/5x5 − 4x −4/3x-3 ...

A: a.

Q: 6" j) E n (n+1)" n=0

A:

Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

A:

Q: Consider the following functions. = x and g(x) = x| %3D Step 1 of 4: Find (f + g)(-2). Answer How to...

A:

Q: The function g is defined by the following rule. g («) = G Find g (x) for each x-value in the table....

A: solution:-g(x)=17xg(-2)=17-2=72=49g-1=17-1=71=7g0=170=1g1=171=17g2=172=149hint,a0=1a-1=1aa is consta...

Q: 500 where r is the mortgage A county realty group estimates that the number of housing starts per ye...

A: According to bartleby guidelines I can only answer one of the questions given. 

Q: dz If 7 = y cos(x), x = s't and y = s²t³, then dt O a) –2s³ ty² sin(x)+ 6s²t²y cos(x) | O b) –2s° ty...

A:

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A...

A:

Q: 5л? + 3х — 14 (а) f(*) %3D 5х — 4 6x² + 4/x (b) f(x) = %3D

A:

Q: Find the critical numbers of f(x)=x²e* %3D Select your answer

A:

Q: Consider the following functions. f(x) = x and g(x) = |x| %3D Step 2 of 4: Find (f - g)(-2).

A:

Q: ソ= cos 0 +1

A:

Q: In a certain manufacturing process, when the level of production is x units, the cost of production,...

A: This question can be solved by using the concept of absolute maxima and absolute minima.  

Q: Find the maximum and the minimum values of f(x,y,z) = 2x - 7y+7z on the sphere x² +y2 +z? = 102. ......

A:

Q: find the slope of the tangent line to the graph of flx)= 2x at (5,3).

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the line, take the d...

Q: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include...

A: We can analyse function as follows  

Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

A:

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5) a...

A: Given query is to find the equation of the circle.

Q: Partial fraction decomposition 1. x^3-2x=A(x-1)(x^2+1)+B(x^2+1)+(Cx+D)(x-1)^2 . If I know that B= -...

A: Given

Q: 12x Find a power series for f(x) = |x| < 1 in the form E an. (x² + 1)* n=1

A:

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

A:

Q: Evaluate the following limits. 1. lim cos2x = %3D x X- 4

A: Given:    limx→π4cos2x

Q: Determine the equation of the hyperbola using the information given. vertices located at (5, 0), (−5...

A: QUESTION- Determine the equation of the hyperbola using the information given. vertices located at (...

Q: Select all that apply. Solve for x, 0° g xs 3600 sin 2x + 2 sinx cosx = 0 270 360 90 180

A:

Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

A: According to guidelines we solve only first question. 

Q: If a country experiences a doubling time of 45 years with a growth rate of 1.5%, then we can infer a...

A:

Q: What are the coordinates of the foci of the hyperbola whose equation in standard form (x +4)² is giv...

A:

Q: Suppose F (x, y) = (2xe-", 2y – a²e="} (a) Find a scalar function f (x, y) such that F = Vf (b) Use ...

A:

Q: .

A: Please refer to the image below

Q: Find the area inside the circle r = 7 and outside r = 7+7sin 0. NOTE: Enter the exact answer, or rou...

A:

Q: Given: sing = and cos x = -; evaluate the following expression. (A: Quadrant I, x : Quadrant II.) si...

A: Multiple angles

Q: 5. Which of the following functions f(x, y) are homothetic? 2(xy)? (b) (xy)? +1 (a) (xy)? +1 (c) x² ...

A: (a) The given function is: fx,y=xy2+1

Q: 3. Find the dy/dx of * y? + 2x – 3y = 0

A: The given function,         y2+2x-3y=0

Q: A particle moves along the polar curve r = -4+ 4 sin 0 in such a way that the angle between the part...

A: r = -4+4sinθ  dθ/dt= 5 unit/sec  Find dr/dt when θ = π/2 

Q: Three cars: A, B, and C start from rest and accelerate along a line according to the following veloc...

A:

Q: A rectangular playground is to be fenced off and divided in three parts by two other fence parallel ...

A: To find the dimensions of the playground.

Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4), y(t) = t2 and %3D dW z(t) = 3 - t....

A: Derivative using product rule

Q: Find the points on the surface z = xy + 81 closest to the origin. The points on the surface closest ...

A: