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Q: Let f(x) = 6x²(x – 1) + 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: Topic = Geometry

Q: Consider the following graph. (4, 5) (1, 3) 1. (a) Find the component form of the vector v. (V, V2) ...

A: Given a graph showing the vector. 

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

A: The equation of the plane P which is normal to the vector n and passes through the point R is given ...

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), В(-4, -5,...

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Q: Question 5 Finding the limit: lim2 V12x + 3. O 9 O 5 O 3 O 7 O (E)

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Q: 1) Suppose that you are headed towarda plateau S0 meters high. If the angle of elevation to the top ...

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Q: Solve the linear differential equation of order one 2x(y−x^2)dx+dy=0

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Q: Activity 1. Slope of the Tangent The rate of change at any point on a function is the slope of the t...

A: We want to find rate of change of the function at the given point. 

Q: (d) Find f, the inverse of f. (e) Find the domain and the range of f. (f) Graph f1. 12. f(x) = 4x+1 ...

A: inverse of function domain range

Q: Find the volume between the cone x = sqrt(y^2 + z^2) and the sphere x^2 + y^2 + z^2 = 4

A: The cartesian to spherical conversion is given by: x=r cos ϕy=rsin ϕ cos θz=r sin ϕ sin θ Now, in th...

Q: Cx) = *-2r+2 a-1 c = 2

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Q: Problem 3: The points (-1,3) and (0,2) are on a curve, and at any point (x,y) on the curve = 2 - 4x....

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Q: Distinguish Between Partial Derivative and Ordinary Derivative ?

A: ## Distinguish  Between Partial Derivative and Ordinary Derivative....

Q: Consider the following. 5i + 6j, v = 7i + 9j U = (a) Find the projection of u onto v. (b) Find the v...

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Q: Find the derivative of the function. F(0) = arcsin Vsin(30) F'(8) =

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Q: O Find the area of the auface, using Polar oordinates, of the portion of the Cone x²+y² - 9z²=0 betw...

A: Use polar coordinates x=rcos(theta) y=rsin(theta)

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: d'y dy y = aebx is a solution of %3D dx2

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Q: S cot5xdx

A: Solve the integration

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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Q: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the re...

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Q: Homew O Points: 0 of 1 Does the sequence (a,) converge or diverge? Find the limit if the sequence is...

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Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

A: LetI=∫31-x2dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=3·∫11-x2dxUse the common integral:  ∫11-x2dx=s...

Q: evaluate the given double integral. 7. (x + 2)dxdy

A: Given query is to find the value of the integral.

Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges...

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Q: The quantity of a drug in the bloodstream t hours after a tablet is swallowed is given, in mg, by q(...

A: Given:  a)     The quantity of a drug in the bloodstream t hours after tablet is swallowed is given ...

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as ...

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Q: 1. (-7, -3) 2. (-5, -3] 3. [0,3] 4. [3, 7] 5. (-5,5)

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Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hou...

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Q: ecimal places.) u = i + 4j + 8k rad rad

A: We are asked to find the direction cosines

Q: 6. Find the centroid of each of the given plane region bounded by the following curves: y? = x³, y =...

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Q: 1.) Find the percent grade rise/run= slope Slope = 5:1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: trakuak the triple Integral

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Q: A tank full of water is designed with ends in the shape of an isosceles triangle with height 9 meter...

A: Let's find. 

Q: Question 2 Write a simpler function that agrees with the given function at all but one point. Then f...

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Q: Exercise 2 Sketch and briefly describe the surface whose equation is given: r = 3 p = 3 4 4- 2 Descr...

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Q: Aus: J 5C -2X

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Q: Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no ...

A: This question can be solved by converting the system of equation in matrix form.

Q: Question 3 Given f (x) = 2x and g (x) = 4x + 3. Evaluate g (f (-)). (E)

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Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: If using Trial and Error to factor ax^2+bx+c, a not equal to one, explain the procedure to use if b ...

A: Given quadratic polynomial :  ax^2+bx+c               ,where a ≠1   Aim: Explain the procedure of us...

Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. (b) Fi...

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Q: Problem 2: Find the equation of the curve whose slope at any point is 2 = x?Vx and which passes thro...

A: topic - differential equation

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. In (n + 1)...

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

A: Option A

Q: u = (6, -5, 8)

A: We will find two vectors in opposite direction orthogonal to the given vector. 

Q: 1- cos 4x lim - (a) x? X-0 5-x (b) lim x-+5 Jx-1- /2x – 6 3t2 -t-2 lim- 12-1 (c)

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Q: s dx 2

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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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