(b) Oppositely directed to 18i – 12j + 6k. - 3 i 1 j + k V6

Q: 1.) Í 9r*dr/V1- r 2.) csc c²20cot20d0

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Q: X is partly constant and varies as y when y= 3,x=7 And y=6,x=9 A. find the relationship between X…

A: We write x=ky+c when x is partly constant and varies as y Where x,y are variables and k,c are…

Q: f(x) = 4e−2xsin(x2) 1. What is the first derivative of the equation? 2. Find f′(−1) manually.

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Q: x In x dx. Use

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Q: dy xe dx to

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Q: Given x2 + 11x + 18 f(t) 1+ cos (x) At what value of t does the local max of f(t) occur? t =

A: Solved below

Q: Find the absolute maximum and absolute minimum values of the function f(2) = a° – 6z² – 6 - 63z +4…

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Q: Find the length of one arc of a cycloid generated by a circle of radius R = 6. Hint: Use the…

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Q: 4y V16+16g Find the divergence of the vector field F(z, 9) i+ V16z + 16g Provide your answer below

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Q: Given the differential equation y" - 6 x y' = 10 x %3D Using Reduction of Order and the letter "R"…

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Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

A: Given query is to find the derivative.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Given the differential equation 9 y' y" Using Reduction of Order and the letter "R" to this…

A: To find the solution of given differential equation.

Q: Find the point (x, y) of x+14xy+ 49y = 100 that is closest to the origin and lies in the first…

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Q: 4. 6x3 2 7x2 + 3x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: f(x) = 2cos(3x−2) 1. What is the first derivative of the equation? 2. What is the second derivative…

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Q: termine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: Determine the points at which the limacon defined by the polar equation r= 3 + 2 sin(theta) has…

A: We need to find tangent and sketch.

Q: Given: U = {x/x < 21 } note: x are integers A = { x/ x< 11} B = {x/x even nos. < 21} C = {x/x…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: n the 3-o'clock direction.

A: answer is in next step

Q: a b and c pls

A: To evaluate the following  given limits.

Q: x? V1-x2 dx Use trigonometric substitution

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Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is…

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Q: 1. f'(x)dx if f(2) = 1 2. f(x) = S(x² + x – 3)dx if f (2) = 3 3. f(x) = S xe*dx if f(2) = 3 4. f(x)…

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Q: Could the following vector field. F. be conservative F(z,9) = (6z" cos (y), 4y²cos (z)) Select the…

A: Given vector field Fx,y = 6x4 cos(y), 4y3 cos(x)

Q: Vear 2008 16,680 2010 16,858 2012 18,066 2014 21,366 2016 25,085 ind the average rate of growth (in…

A: formula for average rate of change

Q: | (In x)? dx. 1. Use integration by parts.

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Q: /13 3 Find the first four terms of the binomial series for the function (1+ 2x)°. The first term is

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Q: tan ³x sec4x dx. Use trigonometric group

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Q: 1. A force of 1000 pounds is acting on an object at an ang of 500 pounds is acting at an angle of…

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Q: x² + 49 Given f(x)= , g(x) = x – 7. Determine the domains of (x) and g(x). %3D x + 7

A: domain of function is where function is define here  f(x) = (x2 +49)/x+7) here if we put x = -7 then…

Q: x²+x+1 3. Use partial fractions. 2r²+2+x³+x

A: Explained below

Q: Given IV-x2+ 4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0 ? A…

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Q: Question A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall walks…

A: Here we use the similar property of triangle

Q: Find the equivalent DE for the given family of curves All vertical parabolas

A: Find the equivalent DE for the given family of curves All vertical parabolas

Q: 4 cos(x) = 4 cos(x)i - 4 sin(x)j -4 sin(x) u3D( )i+( ) j

A: solution is given below

Q: Rx) - х3 - х2 - 12х + 6, [0, 4)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Fnd the gradent vector feld o S(2,9) = VEz+ y. Provide your answer below

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Q: x² V1-x2 dx Use trigonometric substitution 2.

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Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: Given  a=3, b=8 and n=2

Q: 10 | Vx3 + 6 dx, n = 4

A: Given

Q: QUESTION 1 At a price of $700 a supplier will supply 170 items. If the price decreases by $100, then…

A: Given query is to find linear function of supply.

Q: A wooden rectangular box is to be made of lumber that is 2/3 in. thick. The inside length is to be 6…

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Q: Find the curl of the vector fleld F(z, y) = 9ye" i+2ejat the point (-2, 0). Enter an exact answer.…

A: F(x, y)=9y2 ex3 i +2x2 ey jcurl F→=∇×F→curl F→=ijk∂∂x∂∂y∂∂z9y2 ex32x2 ey0         =∂∂x(2x2…

Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

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Q: 1-x² dx

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Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: 1. | (In x)² dx_ Use integration by parts.

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Q: is this true or false the average rate of change between any two points on the graph y=2x+7 is 2

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