-4 -1 3 2 1- -1- -2 -3 -4 1 Language and Notation 4 Select an option below to see how mathematicians would describe what we saw on the previous three screens. lim f(x)=2 x-1 lim f(x) = 3 x-1* f(x)=0.5

Q: Find the distance of the point (4,2,−5) from the line r(t)=

A: SOLUTION-

Q: The base of a solid is the region in the xy-plane bounded by the lines x = a and x = b, the graph of…

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Q: each limit. You may use the provider

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as a…

Q: Evaluate the indefinite integral. 6x + 7 -dx x² +1 1

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Q: Find the x- and y-intercepts of the given circle. the circle with center (2, -3) and radius 4…

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Q: Find the scalar and vector projections of b onto a. a = (-8, 15), b = (3,5) scalar projection of b…

A: given  a=-8,15b=3,5scalar projection of b onto a is =b→.a→a→vector projection of b onto a is…

Q: A Linear Programming Problem with two variables 1. Minimize g =12x+8y subject to x + 2y ≥10 2x+y 211…

A: A detailed solution is given below.

Q: The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is $140. The…

A: Let p denote unit price and x be the number of units As we know slope of linear function passes…

Q: Find the limit. sin (20) lim 0 0 0 + tan (30)

A: C=limθ→0sin(2θ)θ+tan(3θ)∂sin(x)∂x=cosx∂tan(x)∂x=sec2x∂xn∂x=nxn-1

Q: Write the equation in the form (x-h)²+(y-k)²=c. Then, if the equation represents a circle, identify…

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Q: When Jason was cleaning up his room, he found four types of items: books, legos, dolls and trading…

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Q: For the position function s(t)= - 16t+111t, complete the following table with the appropriate…

A: Given: s(t)=-16t2+111t Time interval [1,2] [1,1.5] [1,1.1] [1,1.01] [1,1.001] Average…

Q: 5. (a) Let f(x) = 3 Find the area between the of graph y = f(x) and the x-axis r(lnx + 3)² for e≤ x…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the rectangular coordinates of the point whose spherical coordinates are giv (a) (3, 3π/2, 0)…

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Q: 2. (D4-5D2 - 6D - 2))y = 0 3. (D² + 6D + 1)y = 0 4. (2D³D²+ 36D - 18)y = 0

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Q: Find the area of the region between the graphs of f(x) = 5x + 8 and g(x) (Use symbolic notation and…

A: Given equations f( x ) = 5x + 8 g( x ) = x2+ 2x + 2 interval [ 0 , 2 ]

Q: Find the equation of the line with slope −6 which goes through the point (−9,−6). Give your answer…

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Q: Your college newspaper, The Collegiate Investigator, has fixed production costs of $78 per edition…

A: Given that the fixed production cost is $78 and printing and distribution cost per copy is $0.75.And…

Q: Find the simplified difference quotient for the given function. f(x) = 4x Find the expression for…

A: We are asked to find f(x+h)

Q: a. Graph the function f(x)=x²-10x + 24. b. Identify the point (a,f(a)) at which the function has a…

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Q: Find the midpoint M of the line segment joining the points A and B. A(2,4), B(1, 1) M(x, y) = × )

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Q: For f(x) = 2x² + 5, find the number c in (-3,-1) guaranteed by the Mean Value Theorem. (Use symbolic…

A: Mean value theorm If f( x ) is continuous in [ a , b ] f( x ) is differentiable in ( a , b )then a…

Q: Is the point (11, -6) on the circle defined by (x-7)²+(+16)²=9?

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Q: If 2x is

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Q: Find the derivative of f(x) =-2x + 10x8 f'(x) =

A: Topic = Derivative

Q: From experimental data the cost for removing particulate pollution in California from a selected…

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Q: Given: triangle ABC, find the length of side b. Round to the nearest integer. A. 110 ITF B. 111 A…

A: We are required to find the length of side b using the data given in the figure.   In ∆ABCLength of…

Q: You are trying to use elimination to solve the following system of linear equations. What would be…

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Q: In this case, h = [1-8 9 6 9 -6 2 -6 -1 0 4 [1 -8 0 9 9 6 -6 2 26 -37 -25 a. State the elementary…

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Q: Determine an equation for the plane passing through the line of intersection of the two planes,…

A: Given planes equations:- P1: x-2y=5 P2: y+3z=6P3: 7x+5y-z=-3

Q: Find the limit for the given function. lim (sin(3t))2 t² t→0

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Q: 3. Evaluate lim sin.x 00++x X 4. Evaluate lim √xecos (²7) +0<x

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Q: In exercises 1-6, estimate the slope (as in example 1.1) of y = f(x) at x = a. upobs onul & inli…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Consider the following regions. -0.2 y 1.2 1.0 0.8 0.6 0.4 0.2 -0.2 R₁1 R₂ y=x² R3 y = x 0.2 0.4 0.6…

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Q: Solve the differential equation by variation of parameters. y" + y = sin sin²(x)

A: Follow the procedure given below.

Q: Is this function g(x) = continuous on the given interval? X x² + 6 on [-6, 6]

A: The given function is: gx=xx2+6 on -6, 6  Is the given function continuous in the interval -6, 6

Q: 2 and 3 are incorrect

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Q: Find an equation of the sphere with center C(3, 4, 5) that passes through the point A(1, 3, 3).

A: Question - Find an equation of the sphere with center C(3, 4, 5) that passes through the point A(1,…

Q: From a fixed point, a surveyor locates a pole at 222.2 ft due east and a building corner at 325.7 ft…

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Q: Find an equation involving g, h, and k that makes the linear system corresponding to this augmented…

A: The given augmented matrix, 1-1-3|g03-2|h-17-1|k We have to write the linear system to this…

Q: Use the functions: f(x) = = a) f(g(x)] = b) g[f(x)] = x³¹ g(x) = x+2 to find:

A: given  f(x)=7x3g(x)=x+2(i)  for  fg(x),  put  x=x+2 in  f(x)

Q: A rectangle has area 81 m². Express the perimeter of the rectangle as a function of the length L of…

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Q: In Exercises 7-16, evaluate the limit. X x → ∞ x + 9 7. lim 8. lim x →∞ 3x² + 20x x →∞ 2x² + 3x³ -…

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Q: + 66 **** If we changed the 6 to a 4 in the equation, what would happen to the graph of the…

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Q: Consider the function f(x) = X-7 |x|-7' (a) Find the discontinuities of f(x). X (smaller) X (larger)…

A: Given, f(x) = x -7IxI  -7

Q: y = f(x) -10-9-8-7-6-5 4 10 9 8 94 20 -6 -9 1 Evaluate: g(f(8)) 3 45678910 y = g(x) -10-9- 10 9 1 10…

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Q: An espresso stand finds that its weekly profit is a function of the price, x, it charges per cup. If…

A: As per guidelines we can solve maximum 3 subparts. Please repost others subparts and mention the…

Q: [1 −4 2 8 −1 −4 -1 2 -8 -6 -3| -4 7 -57 [1 -4 7 2 8 -1 0 0 -20 -5 -4 7

A: Given:- 1-47-528-1-42-8-6-3~1-47-528-1-400-207

Q: -4 x = y² - 3 -2 y 3 2 -2 -3 y = 1 x = e 2 y = -1 4 X

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Q: What is the Quadratic method??

A: We  need to define Quadratic method.