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Q: L Find the projection of i= i-2j- 2k onto = 6i +3j + 2k. %3D

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Q: dy at x= -2. 1 If y =-,, find xp dy at x= dx - 2 is 1 The value of . (Simplify your answer.)

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Q: The average price of a ticket to a baseball game can be approximated by p(x) = 0.03x² + 0.44x+ 8.13,...

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Q: Evaleiate the integral by completing the 5Guare. -dx x"+2x²+2

A: Use method of substitution to solve it.

Q: Q1) Consider two rotations, one about X by 30 degrees and one about Y 60 degrees: Are Rx Ry = Ry Rx ...

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Q: Find the volume of the solid obtained by rotating the region A in the figure about x = -3. y =r² +b ...

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Q: 4 e* sin? (e*) cos³(e*) dx

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Q: 2r +3 Let f(r) = (a) Find the derivative of f at r = 3 using the definition of the derivative as a l...

A: f(x) = 2x+3/x  a) find the derivative  b) find the equation of tangent line at x= 3 

Q: The standard form of the equation of a line going through (3, -3) and (0, 2) is: 5x - 3y + 6 = 0 Oy ...

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Q: Consider the following. 3| lim -10 -8 -2 Use the graph to find the limit (if it exists). (If an answ...

A: Limit does not exists

Q: QI/a- Find the parametric equation of the line passing through Po(1,3,4) parallel to 2i-j+5k b- Find...

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Q: On the space provide, write YES if the given function is a solution and NO if not. 1. Which of the f...

A: The given function are the solutions of the given differential equation a)  exc)  e2x+exd)  xe2x+ex

Q: Cheddar's favorite online dogfood retailor charges $8 per pound of food, $12 for flat rate shipping ...

A: The cost of the dog food  per pound is = $8 

Q: Using the substitution r = tan 0, evaluate dz. V81 + 4x²

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

Q: nd (2cosx dx SiAX

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Q: Consider the figures below. (1) (2) (a) Use the rectangles in each graph to approximate the area of ...

A: Area of rectangle

Q: sin4x lim x→0+ 5x 6. Find the one-sided limit (if it exists).

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Q: Find the following limit. Is the function continuous at the point being approached? TC lim cos 20-4 ...

A: The given limit,           limt→0cosπ20-4 cos t

Q: Follow the steps on the table to evaluate lim xe Step 1 |Substitute to evaluate the limit, if possib...

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

Q: - 3 - 6 If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whethe...

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Q: Select the choice that is a graph of the function 16 x – 3 3 (2 +2)(x 4)

A: Given,            y=163x-3x+2x-4To find : Graph the function.

Q: 35-40 Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, chec...

A: Vertical asymptote: we should check that where denominator value gets zero that is to find the value...

Q: The graph shows the number of trips taken annually on a certain state's mass transportation system. ...

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Q: Cheddar's favorite online dogfood retailor charges $8 per pound of food, $12 for flat rate shipping ...

A: We have to find the function, domain and range and interpret the value F(45).     According to our g...

Q: dy х3 + ху? dx 12 ||

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Q: + 2t y' - 6y = 0

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Q: Solve the following DE using Separable method. 2y' = x(1- y')

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Q: An Olympic cyclist has reached the final 100 meters of their race, and decides to speed up in an eff...

A: The cyclist starts with velocity 25 m/s . Distance covered in 1 second = 25m Distance covered in nex...

Q: x' - 27 x² -9 (c) at x = 3 and x = -3

A: First of all to find critical points put the denominator equal to zero. x2 - 9 = 0 x 2 = 9 x = 3, -3...

Q: The diagram shows the curves y=Væ and y=V6–2x . Let R be the region bounded by these two curves and ...

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Q: Complete the table. (Round your answers to four decimal places.) X- 8 lim x-8 x - 9x + 8 7.9 7.99 7....

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Q: Consider the following matrices: [1 2 3] 4; li 4 3] 3 2 1 [A] 1 [B] -4 1 3 -1. Find: b) 2[A] – 3[B]

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Q: Sketch by hand the graph of a function f that satisfies: (a) f(0) is not defined, (b) lim, +0– f (x)...

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Q: Find the general solution of the given differential equation. y' + 7x6y = x6 y = Give the largest in...

A: The detailed solution is given below Thank you 

Q: II. r*yz dxdydz K = {(x. v. z) : 0<x<1, 0 <y<r. 0<z<z°u}

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Q: a) Find the derivative of f at x = 3 using the definition of the derivative as a limit. *Do not use ...

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Q: Suppose that f (x) > 0 for all x, f(x) has a continuous derivative and that е — 1 f(-3) = 0 and f(4)...

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none exis...

A: The function is given by fx = 4x2-2x+4 To evaluate: The point at which the the tangent line is horiz...

Q: On your own, verify that f(x)=e-x satisfies the conditions of the mean-value theorem on the interval...

A: f(x)=e-x on the interval [0,2]

Q: Suppose that g(x) is a continuous function, g(0) = 2, g(1/2) = 1 and g(x)dx = 3. Evaluate the defini...

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Q: 2x2 + 9 h(x) = 6x + 4 h'(x) = %3D

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Q: A conical container of radius 9 ft and height 36 ft is filled to a height of 32 ft of a liquid weigh...

A: the centre of mass  of a uniform solid right circular cone if height h lies on the axis of symmetry ...

Q: d. On the interval [-1,1], the function f(x)=1-x2/3 satisfies the conditions of Rolle's theorem. O F...

A: Given that -

Q: _____7. A fallacy when ambiguity of a term is used twice deliberately. a. circular reasoning       ...

A: Here is the solution

Q: List the x-values where f is not differentiable:

A: A function is not differentiable at points of discontinuity and corner points of any graph.

Q: Using implicit differentiation, find the slope of the tangent line to the graph of the curve x^4 + y...

A: Slope of the tangent is obtained by dy/dx

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 7/n an

A: The given data is: an=7n7n  Find the limit if the sequence is convergent

Q: Consider the function fix) = vx and the point P(4,2) on the graph f. (a) Graph fand the secant lines...

A: Given:     f(x) = √x    Point: P(4,2)    Secant line passing through point : 1 , 6 , 8

Q: Problem 51. For each function given below determine if the function is a linear function. If so, fin...

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Q: Find the domain of y = log(4 + læ). The domain is:

A: Domain of a function f(x) is the set of value of x for which f(x) is defined. For example, y= log(t)...