Consider the following position function > CEJ=<58+8,4€-5,4+5€> for tzo a what is the velocity of the object <_, >=VCt> b the acceleration of the Ooje et

Q: Find the equation of the tangent plane to z = f(x, y) at the point (1, , 1).

A: Given Data: Surface: z=x2esiny Point: x0, y0, z0=1, π, 1   (a) The first derivative of the given…

Q: t= S Skelch he aurve wth the veder uceton, Indicade uven arow the divecton tn wtch t Tnareases.…

A: Given information:

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Q: Write a function from R? to R, that has a tangent plane with normal (1,1, 1) 2. at exactly one…

A: As, by the formula of normal, ∇F(x0,y0,z0)=1,1,1=i^+j^+k^∂F∂xi^+∂F∂yj^+∂F∂zk^=i^+j^+k^   Now, the…

Q: Given the plane Curve RCH= ē costite sint'j show that the angle between RCH and Constant ,find and…

A: Consider the plane curve.

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: E(x?) is called the second moment about orgin

A: Given statement, EX2 is called the 2nd moment about origin.

Q: Express the velocity and the acceleration of a moving point p(r,0)

A: We have given a curve in polar coordinate : r=1+sin(θ) with θ=t2…

Q: Find position (s(4)] an velocityfve) 0tan obiect mering 'a long astraieght lime

A: Given query is to find the velocity function and position function.

Q: The vector n = (2, -3, 6) is normal to the tangent plane to z = h(x, y)at (1, -3, 5). Estimate…

A:

Q: What is the derivative of a function ƒ(x, y) at a point P0 in the direction of a unit vector u? What…

A: For a function z=f(x,y): the partial derivative with respect to x gives the rate of change of f in…

Q: What is the unit tangent vector to the curve r(t)=⟨cost, sint, et⟩ at the point where t=0?

A: Given:          r(t)=cost,sint,et at t=0           r→(0)=cos(0),sin(0),e0          r→(0)=1,0,1…

Q: Is the bicyclist's acceleration positive, negative or zero? Explain.

A: To determine whether the bicyclist's acceleration of positive, negative, or zero.

Q: find the anit tang ent , norma and binor mal vector: el cost i a Sint tk]

A:

Q: An object is moving along a horizontal line such that it's velocity is v(t) = 4'. %3D What is the…

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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: if the velocity function vector v = 3t 1+ tJ- 2k find the acceleration( a). -

A:

Q: Consider the following trajectory of a moving object. Find the tangential and normal components of…

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Q: Match the following. C. Internal Tangents B. External Tangents A. Tangent 2. 1. Choose ] B [ Choose…

A: to match the given tangents

Q: Find the tangential and normal components of acceleration for 7(t) = < 5 cos(t), 3t, 5 sin(t)…

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Q: Let f (x, y) = x² + 4xy². Say the directional derivative Du(1,1) with u is the unit vector that…

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Q: In figure 8, water flows through a 6.0 cm diameter pipe at 8 cm/s. The pipe then narrows downstream…

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Q: Let the the position vecor be R(t) = (e' cos(3t) , e' sin(3t),0). Compute the unit tangent vector

A: The given position vector is R(t)=etcos(3t),etsin(3t),0 . compute the unit tangent vector T(t)=?

Q: What is the magnitude of her displacement from where she is now located to base camp. (put your…

A: Follow the procedure given below.

Q: if the position vector r= t+t. find the velocity (v) at time t =2 sec. jojl aic acrull äoyö 27 (…

A: Calculate velocity function:  r'=ddtt3+t  =3t2+1

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Q: u rocket is launched verheally upward from a point a miles wr on the around. what is the speed of

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Q: Determine the natural cubic spline that interpolates the data f(0) = 0, f(1) = 1, f(3) = 4 %3D and…

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Q: Have you ever noticed that when you tear a fingernail, it tends to tear to the side and not down…

A: In estimation of difference between the two population means on the basis of sample means, there…

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

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Q: Compute the lux of water through the OSIS3 if the velocity vector is v meters'sec. ( Generally. F-…

A: Introduction: Evaluation of flux of a vector field over a surface is an application of surface…

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Q: Exercises 37 and 38 refer to the baseball diamond (a square of side 90 ft) in Figure 16. Second base…

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Q: 2) The sweep second hand of a watch is 15.0 mm long. What is the linear velocity of the tip?

A: Length of tip  r=15 mm

Q: 4 – Let the possition vector is given by 5tk r(t)* = sin3ti+ cost3j¬ + %3D Find a) The velocity b)…

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Q: Fill out the following table to estimate the displacements on the intervals [0,2]. [2,4], [4,6],…

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Q: Suppose that an object moves in the positive direction along a coordinate line over the interval [a,…

A: Let the object moves in the positive direction along a coordinate line over the interval [a, b] Let…

Q: Find the unit tangent , nomaand binormaL vectors 2. 2-Ycet [csti * sint j + x].

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

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Q: DA particle moves along a line with velocity IG ? at tim 4++3

A: To find the distance travelled by the particle for the given time period.

Q: Could you please highlight the correct answer. and explain it

A: It is given that, Y1-bar = 3.3Kj/m2, S1 = 0.99 and n1 = 3. Y1-bar = 6.2Kj/m2, S1 = 2.24 and n1 = 3.

Q: In R', Find the unit vectors that are parallel to the tangent line to the curve y = 2 sin x at the…

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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…

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A: Please refer to the image below

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A: If f(x) is a continuous function, then its derivative at a particular point is defined as…

Q: 2. A telecommunications company claims that senior high school students spend an average of 20 Php a…

A: As you have posted multiple questions, we have provided answer for first question only as per our…

Q: Determine the required magnitude of force F if the resultant couple moment on the frame is 200 N-M,…

A: We will find the value of  F ,

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.