How do you compute the magnitude of v = (V1, V2)?

Q: (d) UV, = i = 1 (e) %3D i = 1 (f) U V, = i = 1 (g) 00 i = 1

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A: we know that for projectile fired at angle θ with the horizontal tangentialTt and normalNt…

Q: S The flux is

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. Rx, Y,…

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A: When a force F is applied to an object of mass m, the position of body changes. According to…

Q: fm üli f (x,y,z)=x'+x*y *z ' + yz ?

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Q: How much work is required to move an object from x=4 to x =11 (measured in meters) in the presence…

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Q: Find the work done when a constant force F =16 lbs moves a chair from x =2.4 to x =5.1 ft. along the…

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Q: d dri(t) • r2(t)] = d [ri(t) × r2(t)] dt ||

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Q: Find an equation of the tangent plane to R(u, v) = (e" sin u , eº cos u , e¯-" ) at the point where…

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Q: Use cylindrical coordinates to evaluate d V when

A: The given integral is ∭RxdV where the region R is defined by R:x2+y2≤1, x≥0, y≥0, 0≤z≤2. Converting…

Q: A body of mass m falls from the rest in a medium offering resistance proportional to the square of…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the work done when a constant force F =11 lbs moves a chair from x =2.4 to =4.6 ft. along the…

A: In this question we have to find work done.

Q: roe-t sin(v3t) (i) * sin(V3t) dt]

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Q: 7. A 2600-pound truck is stopped at a red light on a hill with an incline of 25°. Ignoring the force…

A: Recall:  Force=w·sin θ We have, w=2600 pounds, θ=25°

Q: cos t dt .5 V sin t

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Q: Approximate the change in the magnitude of the electrostatic force between two charges when the…

A: Magnitude is the size or numerical quantity or value. The approximation change formula is ∆y=f'(a)∆x…

Q: 4- f(t) = ,"t sin(t) e-S'dt

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Q: Differentiate. R(t) = (t + et)(4 - Vt) -Vī + 2(4– Vī)(1+e') R'(t) 2t

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Q: Normalize Y,'(0, ¢) = N sin© e¬lº and find out N %3D

A: The given function is, Y1-1θ,ϕ=Nsinθe-iϕ Where N is normalization constant.

Q: Find the work done by a force F of 12 pounds acting in the direction (3,1) in moving an object 8…

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Q: Find the approximation for the Green's function of the one-dimensional acoustic wave equation in the…

A: Given function is, cx=aebx Here, a>0 and it's constant here we have to see the effect of b so,…

Q: Integrate the function. dt 4-R 412 V4 -2 4t sin1 4t + C 4t - + C

A: Consider the given integral: ∫1t24-t2dt Here, the objective is to evaluate the given indefinite…

Q: find dy/dx

A: According to Leibnitz  rule of differentiation:

Q: Find a unit vector parallel to the tangent line of y = x at (2,8). What angle does this vector make…

A: Given that, y=x3   We have to find a unit vector parallel to the tangent line of the given curve at…

Q: h(x) = S*(8t³ + 2t)dt, use the FTC Part I to find h'(x). %3D

A: Given :  hx = ∫1x8t3 + 2tdt

Q: A force with magnitude 35 N acts directly upward from the xy-plane on an object with mass 7 kg. The…

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Q: The temperature at a point (x, y, z) is given by T(x,y,z) = 200 e-x- 3y-9z) where T is measured in…

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Q: How much work is done by a variable force F(x) = 7/x  N that moves an object along a straight line…

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Q: Find the moment of inertia: y = x³; x = 1; y = 0 about x = -1.

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Q: 2. Given r(t) = e' cos ti + e' sin tj+ e'k , find the tangential and normal components of…

A: Given: r(t)=et cost i +et sint j+et kTo find the tangential and normal components of…

Q: af Calculate at point (-1,2) where f (x, y) = 8+ x² + 3y? dv and v = i+j. 10 2 5/2 V2

A: fx, y=8+x2+3y2  &  v=i+j Partially differentiating with respect to x, we get fxx, y=0+2x+0=2x…

Q: For f(z, y) is: = 5a sin(xy) at the point (2, 4), the direction in which the maximum rate of change…

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Q: 1 Px1x2(w1, W2) = (1– j2w1)(1 – j2w2) | 13 The joint moment m20 is equal to

A: # joint moment m20=E(x1^2)=-8

Q: nd the increase rate of the scalar V at point P from origin to the point P(12 , 1,11 here V=…

A: As gradient of a scalar function gives the magnitude and direction of rate of change.

Q: Which of the following is the work done by a constant force F moving an object along a straight line…

A: The work done is defined as the integral of the force F with respect to the distance.   The work…

Q: cos(t)y'-tsin(t) = y ; is this seperable or non-seperable?

A: It can be shows that it is not separable. See the next step

Q: y = x* + 1, y = 0, x = 1 around the ar axis.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: cot t Differentiate f(t) = et f'(t) =|| %3D

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Q: Find the differential of f(x,y)=sqrt(x^2+y^3) at the point (3,2). df = ? Then use the differential…

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Q: t sin (t®)dt

A: The given integral ∫t5sint6dtLet t6=x6t5dt=dxt5dt=dx6

Q: How much work is done by a variable force F(x) = (60 − x) N that moves an object along a straight…

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Q: Calculate the velocity and acceleration vectors, and speed for r(t) = (sin(3t), cos(t), cos(3t))…

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Q: f(t) dt t sin(rx), -? What is the value of f(5) if

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Q: cot t Differentiate f(t) = et

A: We are given, f(t) = (cot t) / et We are asked to differentiate this function.  We will use the…

Q: Give a physical interpretation of JT. F.ndS.

A: This expression is of surface integral for calculating the area of the field bounded in the…

Q: Differentiate f(t) = (e + sin(2 – t))* %3D 29.

A: derivative of xn  = nxn-1 derivative of sinx = cosx derivative of ex= ex Derivative according to…

Q: ate the directional erivativ e of f(x, y) = y – 2xy² at the point (0, 1) in the direction v = 3i +…

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