Write the component form of the vector shown on the graph below. < 9, -2> O < 5, 2> O< -2,9> O<-5, -2> Submit Answer

Q: Consider the following vector function. r(t) = (8 sin(t), t, 8 cos(t)) (a) Find the unit tangent and…

A: To find unit tangent and unit normal vector and curvature. Given  r( t) =  { 8sin(t), t, 8cos(t) }

Q: Find the first term In a geometric sequence in which the common ratio is 5/4 and the tenth term is…

A: The general formula for nth term of a geometric sequence is given by tn=arn-1  Where, a is the first…

Q: find a unit normal vector to the surface at the indicated point

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Q: Solve the equation and write complex solutions in standard form. x²-18x+91=0

A: Our Aim is to solve the equation given below and write complex solutions in standard form.Since, the…

Q: 2- Sketch the graph of the following ellipsoids in space 1 x² + y² + 4z² = 4 4x² +9y² + z² = 36

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Q: Find the dot product of the vector pair. u = and v =

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Q: Multiply the complex numbers below and leave the result in trigonometric form. [7 (cos+ i sin )] [10…

A: Let's consider a complex number  as defined below: By Euler's identity z=r…

Q: Question 7 Use the ratio test to determine if the series converges or diverges. n-1 15 O Diverges O…

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Q: O 35.50 sq. units

A: We know that the area of the triangles formula by Heron's formula sqrt(s(s-a)(s-b)(s-c))

Q: O O O Submit

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Q: (12) Describe each system of planes. If possible, solve the system. a) x + 2y + 3z = 4 2x = y + 4z =…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 2. For these systems of ODEs find the general solutions: 34 (a) x' = (3₁) x, x(0) = [1,1]T 32

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Q: Find an equation, in slope-intercept form, of the line tangent to the curve with parametric…

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Q: Given the two vectors u = (2, -4, 5) and = (-4,-2,-2), calculate the following. Write vectors in…

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Q: Given a = 3, b = 11, and c = 10, use the Law of Cosines to solve the triangle for the value of A.…

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Q: You know that: ■ +5√3 food f(t) dt = 31 • ƒ(7) - 22 Evaluate: = I · ƒ(7) = 25 ľ 70 cos(x) f(10…

A: Let u=10 sin x Differentiation du=10 cos x dx

Q: e following is not a D.E.? -(z)=0 of the D.E. xdy + ydx = 0 is B. x² + y² = C hose solution is y =…

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Q: Find the component form of vif ||v|| = 2 and the angle it makes with the x-axis is 60°.

A: Given that, Magnitude of v is :  ||v|| =2 and angle with the positive x-axis is θ= 60°. Suppose, the…

Q: Sketch the graph of the following quadratic surfaces a) 4x² +9y² + z² = 36 b) x²y² 2²=1 c) x² +…

A: Given the equation of curves.

Q: Test the series below for convergence using the Ratio Test. 3n n! The limit of the ratio test…

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Q: 1.) d³s dt3 2.) x 3.) ди ду d²v dr² + U = EQUATION S 3 1 + (- 2² z əx² dv + t dr 13 ds dt 4 - st = 0…

A: Since you are asking multiple questions. We are answering only first three questions as per our…

Q: Find the following for p =, q =, and r = Find 8r+ 3q Answer: ^ Submit Answer

A: p=-7, -6q=-1, -11 andr=0, 9

Q: Suppose you fanction for f (x) > 0 fa has Sketch 6 each fil arc given these conditions on (-0,2) om…

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Q: 11. According to a formula discovered by the French physician Poiceulle, the velocity (in cm/sec) of…

A: According to a formula discovered by the French physician Poiceulle,  the velocity (in cm/sec) of…

Q: Construct an equation where the area under the curve is 1.

A: construct an equation where the area under the curve is 1

Q: The initial and terminal points of AB are given below. Write the vector in component form. A (-5, 2)…

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Q: Find the angle between the vectors to the nearest hundredth of a degree. p= and q =

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Q: Express the sum without using sigma notation. Simplify your answer where possible. Σ 3 logio(1) J =…

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Q: . z = 12i + 16j

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Q: Determine on the (2,0) of the point to the point the X- Coordinate y = √x+4 that is closest

A: Let distance between two points ( x1 , y1 ) &amp; ( x2 , y2 ) is given as  d = ( x2 - x1 )2 + ( y2 -…

Q: 10) The graph of h (x) is shown below. Find the average value of h (x) over the interval [0, 10].…

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Q: A goldsmith is designing a box with open top and square base. The box is suppose to have volume of…

A: An open box is given having a square base whose length is x centimeters and whose height is y…

Q: 8) Use the table of values below to find the average rate of change in f(x) over the interval 0≤x≤…

A: Given Table is give. We have x and f(x) values

Q: Suppose that f(x) is a differentiable function such that f'(8)=5 and f(8)=3. If g(x)=cos(f(x)), then…

A: We have,  f'8 = 5f8 = 3gx = cosfx To determine: The value of g'8.

Q: S x³ +1 x² + 1 - da

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Q: A poster inches with J drea and poster x is song tall to have 1 inch margins 2 inch in write of the…

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Q: Find the area between y = 6 - ² and y = x² 2 -5 -4 N 8+ 7 3 2 -1 -2 -3 The area between the curves…

A: The equation of curves are given y=6-x2 and y=x22-4

Q: A man launches his boat from point A on a bank of a straight river, 2 km wide, and wants to reach…

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Q: Calculate all four second-order partial derivatives of f(x, y) = 4x²y + 8xy³. fxx (x, y) = fay (x,…

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Q: The graph of a function is shown. Which graph is an antiderivative of f? b -0.2 y 2.0 1.5 10 0.5…

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Q: Use sigma notation to write the sum. 7 3 + 2 11 Σ i = 1 7 3 + 1 + 7 3 + x + 7 3 + 3 * + ... + 7 3 +…

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Q: 6. Consider the following graph of the function f(x) = cos(x). Draw on top of the graph to indicate…

A: Here we have given a function: f(x)=cosx. a) The limit that will compute the exact area represented…

Q: Using the Second Partials Test, find and classify all critical points of 2x3+y3+3x2-3y-12x-4

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Q: x² + x − 1 x(x² − 1) dx

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Q: Express the series in terms of elementary functions and find the radius of convergence of the sum.…

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Q: 3n²+2n-1 4) Determine if the series converges: 1 2n²³-3n²+4+5 [=1

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Q: find the to the (1,3). of B y² 2x² equation Cerve the tangent line X² 12 at the point

A: The equation of the curve is given and here we need to find out the equation of the tangent line.

Q: Given: (x is number of items) Demand function: d(x) 5120 √x Supply function: s(x) = 5√√x Find the…

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Q: Determine whether the given point (x,y) is on the unit circle. Nin 21 No OYes

A: This is question of calculus  here one point is given  we have to verify that this point is on unit…

Q: Inx 2) Find the average value of the function g(x) = over the interval [1, e].

A: Given the function g(x)=lnxx over the intercal [1, e].