Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = ) =+ 4 B(t) B(t) %3D Option 1 Option 2 B(t) =- Option 3 none of the above

Q: visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an islan...

A: A visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an isl...

Q: (m ?+a? +i) dm (m-2a )da + m =0

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Q: Convert the Cartesian coordinate ( – 5, 2) to polar coordinates, – 27 0. No decimal entries and ans...

A: Cartesian coordinate(x,y) to Polar coordinate (r,θ): add 180o when the point(x,y) lies in the seco...

Q: transformations

A: Please refer to the image below

Q: A boat traveling with a velocity measured in meters per second is described by the vector b⇀=⟨−2,−5⟩...

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Q: 6. Evaluate any 5 of the following 6 integrals. 1 dx 2+1 dr gª +1 (a) (b)

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Q: The projected percent of a country's adult population with diabetes (diagnosed and undiagnosed) can ...

A: The projected percent of a country's adult population with diabetes can be modeled by y=5.97x0.492 w...

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: 2x+3 (1) Find the domain of the function H(x) = x' - 4x (2) Solve the following (i) |10–3x|517 (ii) ...

A: Topic = Functions

Q: The position of a particle moving along a coordinate line is s=sqrt19+6t​, with s in meters and t in...

A: Given; st=19+6t   As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x

Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 О 12 O None of the choices

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Q: 3x2 dx x3 - 8(у + 1) %3D 0 y+1 dy

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Q: Answer the following True or False. (a) {1,2,3} is a subset of {3,2, 1, 4}. (b) {3,2, 1, 4} is a sub...

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Q: 1. (w? – z2 – 4z – 1))dw + 2w(z + w + 2) dz = 0

A: We use exact and non exact differential equations concept to solve the given differential equation. ...

Q: Evaluate the double integral. 7x(64 + y?) R R is the region in the first quadrant enclosed by y = x*...

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Q: Match the equivalent expressions. O 1- sin?(0) a. cscʻ(0) O sec?(0) – 1 b. tan (0) - O 1- cos (0) c....

A: The objective is to match the equivalent expressions.

Q: dP VPt. P(1) = 2 dt %3D

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Q: Instruction: Answer the following question. lim v4 – 2x x→2- > Indicate if the limit of the function...

A:

Q: In2 In 3 In3 In2 ! ! 'dpdv = | J 4. Show that e' p+v dvdp.

A: To prove that the integral

Q: Find the derivative of y with respect to 0. y= 30( sin (In (30)) + cos ( In (30))) de (Use parenthes...

A: topic- derivative of a function

Q: 2. Use the function h(x) = : a. Use a calculator to graph h(x). Make sure you have a window that is ...

A: This is a problem of curve tracing. By using online available calculator we will plot the graph as m...

Q: 3. (w - 3x +3)dw + ( 3w + x + 9)dx=D0

A: SOLVE THE DIFFERENTIAL EQUATIONS. 

Q: Use Newton's method to approximate a root of the equation 5x° + 2x + 2 = 0 as follows. 1 be the init...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Solution is written in below steps.

Q: If C(t) = 18.5t e--0.1t measures the ng , of a drug in a person's 140- concentration, in ml' 120- sy...

A: Given minimum effective concentration = 30ngml                                                      ...

Q: y = In(x) In(x)sin(In x) In(x)cos( Inx) y(x) - cjcos(In x) + cysin(In x) cos(In(x)) + sin (In x) x>0...

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Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb....

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: If f(x) has an absolute maximum at x=c if f(x)≤f(c) for every x in the domain . If f(x) has an absol...

Q: dy cos(x +y), when x = 0,y == dx

A:

Q: dw Evaluate at (u,v) = (1,5) for the function w(x,y) = xy -y2; x=u-v, y=uv. A. -4 В. 65 C. 1 D. 6 O ...

A: Given w(x,y) = xy-y2,x = u-v,y = uvsubstitute x and y in ww(u,v) = (u-v)(uv)-(uv)2 w(u,v) = u2v-v2u-...

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate...

A: topic - application of derivatives

Q: 2. Find the points on the graph of f(x) =- where the tangent line is horizontal. x2+2

A: Given f(x)=xx2+2we want to find the point on curve where tangent is horizontal 

Q: Use the shell method to find the volume generated by revolving the shaded region about the y-axis. Q...

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Q: Work of 3 Joules is done in stretching a spring from its natural length to 14 cm beyond its natural ...

A: Let's find. 

Q: find the difference quotient for: F(x) = 17x2 - 13x

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Q: e2"y + (x + y)³ = -r?.

A: Given query is to find the derivative of the expression.

Q: (d) dx

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Q: Set up the integral to find the area of the region bounded by y x2-1 and y = r+ 5

A: topic- area bounded by curves

Q: (2a+y)dz + (a'y– a) dy = 0 %3D

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Q: 3x * x3 - 8(y + 1) = 0 y+1 (2v2 + 4u?v)du + (4uv + 3u³)dv = 0

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A:

Q: 1. Use the function g(x) a. Use a calculator to graph g(x). Make sure you have a window that is larg...

A: The given function,       gx=2x2-4xx2-9

Q: Given two nonnegative numbers a and b such that a+b=4, what is the difference between the maximum an...

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Q: y = In(4x² + 1)

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Q: ba be #3. Let n be an ntey er with nzl and let b,, bzbn be positive real numbers, not all egual, suc...

A: Solved below

Q: -0.3t If C(t) = 18.5t e measures the 24 ng of a drug in a person's ml concentration, in 22 20- syste...

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Q: Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line ta...

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Q: Does the following series converge or diverge? - 3n? Σ 2 n=1 O The series diverges. O The series con...

A: This question can be solved by applying the concept of ratio test.

Q: 2 3 c) f[(x*y +1) dx dy answer: 10.5 1 2

A: ∫∫R f(x,y) dA =∫y1y2∫x1x2 f(x,y) dx dy   or  ∫x1x2∫y1y2 f(x,y) dy dx

Q: (2v2 + 4u2v)du + (4uv + 3u³)dv = 0

A: