Determine the equation of a tangent to the curve: y =. (x3 - 5x + 4)(3x2 - 2x) at the point (1,-2)

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 10 1+ 11 10 ...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: We have to find the equation of plane.

Q: An elliptical plate, major axis 6 units, minor axis 4 units, is submerged vertically until its cente...

A: Answer is given below .

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2, 8...

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Q: CHECK

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Q: The derivative of a continuous function f is given by In your notes, create an interval table then d...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: s dx 2

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Q: Consider the points A(2, –3, 4), B(4, –5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of ...

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Q: (b) Find an exponential model, B(t), for the population of Berry t years after 2000. Show your work ...

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Two vectors are said to be parallel if they are scalar multiples of one another. or Two vectors are ...

Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the ...

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Q: 4. y? + 2xy = 4, find y"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Consider the following. u = (4, -5, 8), v = (-1, -6, 3) (a) Find the projection of u onto v. 25 -150...

A: This is a problem related to vector. Based on the general formula we will solve the question.

Q: Next que Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. a...

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Q: Express the integral in terms of the variable u, but do not evaluate it. e13 In x dx; u = ln x e10 r...

A: Fill the blanks

Q: d sets of parametric equations and symmetric equations of the line that passes through the given poi...

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Q: If two perfectly rational players play the following zero-sum matrix games, what strategies will the...

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Q: evaluate the given double integral. (1– y)x² dxdy

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Q: dx dy =1.95. dt Given y = x. Find when y= 3 and %3D - - dt (Simplify your answer.) dt

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Q: Let f(x) = 6x²(x – 1) + 10.

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Q: (e*-y- 2x+y³ cosx)dx +(3y²sinx – e*-Y)dy=0; y(0) = (i) Identify the type (ii) Set up the solution st...

A: We will solve the differential equation. 

Q: Consider the following. u = (5, 9), v = (2, 4) (a) Find the projection of u onto v. 38 38 5' 10 (b) ...

A: We have to solve given Questions.

Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: (b) If the supply is S=g(P), equilibrium in the market requires that f (R,P) = g (P). What is ? Find...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: Topic = Geometry

Q: d²y -6空+9= 0. dx2 dx 业

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Q: 2 - Find: (a) 3a ,(b) a +b , (c) a-b , (d) la + b|, (e) a- b|, (f) 3a – 4b and (g) | 5a + 2b|. If 1....

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Q: Slope of the Tangent The rate of change at any point on a function is the slope of the tangent line ...

A: Rate of change

Q: Find the equation of the plane containing the points P= (2, 0, 0). Q = (0, 2, 1), and R = (1,0, 3).

A: This question is based on finding equation of plane when we know 3 points of plane.

Q: ind two vectors in opposite directions that are orthogonal to the vector u. (The answers are not uni...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Answer is infinity 

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: m 1: Special Systems 0.5 A = B 1 0.25 0 0.25 1 a all the values for a and B for which,

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Q: The distance traveled by a rocket (in feet) after launch is given by the function f (t) = -16t? + 1,...

A: Given query is to find the velocity after 15 second.

Q: Find the antiderivative for each function when C equals 0. X a. f(x) = e 8x b. g(x) = e -12x 9. c. h...

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Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

A: To use Lagrange multipliers to solve the following exercise.To find three positive integers x, y, an...

Q: find the volume under the surface z = f(x,y) over the rectangle R. 3. f(x,y) =x³ + y², R = [0, 1] × ...

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Q: Find the unit vector in the direction of v v = -6.3i + 3.7j u %3D

A: Let the unit vector in the direction of v be u.

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+j3

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Q: Find dy/dx by implicit differentiation. exly = 4x – y

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Q: 2 V1-x*

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Q: Find the area of the triangle with vertices P(1,3, – 5), Q(0,0,0) and R(3,4, 1). NOTE: Enter the exa...

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Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

A: f(x, y, z) =x+y+zg(x,y,z)=kxyz=8F(x, y, z, λ)=f(x,y,z)-λ(g(x,y,z)-k)F(x, y, z, λ)=x+y+z-λ(xyz-8)

Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+ j3

A: To convert the complex number to polar form.

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: If two vector are parallel than angle between them zero.

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

A: To find out the terminal point. 

Q: Find the coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 – ...

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

Q: Determine the location of any removable discontinuities, vertical asymptotes, and horizontal asympto...

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