Considering the definition of f(x) below, find lim f(x). x 5 f(x) = -x²+x+1 -3x - 3 -x²+2x+2 if if x < -3 -3 < x < 5 if x > 5

Q: Find the volume V of the solid generated by revolving about the 1 from x = 4 to x = ∞. x 2.5 x-axis…

A: We have to find the volume V of the solid generated by revolving about the x-axis the region under…

Q: Simplify completely: 0 ~/~ 2 (₁ + ²)² - (¹ - 1) ¹)²³ 1 a a

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Q: The unit cost, in dollars, to produce tubs of ice cream is $8 and the fixed cost is $8004. The…

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Q: I have a question with regards to a. In the step where the substitution of the values happened why…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q5/ Find the eigenvalues for matrix A [1 0 -11 1 2 1 2 3 A= L2

A: The given matrix is; A=[1 0 -1      1 2 1      2 2 3]

Q: In a Washington town, the charge for commerical waste collection is $694.55 for 5 tons and $1098.32…

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Q: Find the particular solution to the differential equation x³y = 4y that passes through the point…

A: The given equation is; x3y'=4y,  (-1,-2)

Q: 4. Find a number 8 >0 such that if Ix-10] < & then |(2x + 3)-23|< 0.25.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find f'(x) and f'(c). Function f(x) = (x³ + 4x)(7x² + 5x − 6) f'(x) = - f'(c) = = Value of c 0 = 5

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Q: Suppose the quantity demanded, q, of a product when the price is p dollars is given by the equation…

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Q: x c) √ 2 + 13 de [ dx x-3

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Q: Consider the function f(x, y) = x² + y² + x²y + 4. Find and classify all the critical points of f(x,…

A: In this question, we will find critical points and relative maximum and minimum and saddle points.

Q: Determine the value of lim-0 Question 1 √²+9-3 z² Use the Graph Method to approximate lim+0 Adjust…

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Q: Check that the four points P(2, 4, 4), Q(3, 1, 6), R(2, 8, 0), and S(4, -1,7) all lie in a plane.…

A: Check that the four points P(2, 4, 4), Q(3, 1, 6), R(2, 8, 0), and S(4, −1, 7) all lie in a plane.…

Q: The graph of a function f is given. (a) State the value of f(1). 3 0 1 (b) Estimate the value of…

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Q: Let f(x) = 1 for all x 4.

A: f(x)=1 for all x≠4

Q: _y=3+x-5x² + x40 x = 0

A: Let suppose the slope of the tangent line is m and this line is passes through then equation of…

Q: an icosceles triangle has its base along the x-axis with one base vertex at the orgin and its vertex…

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Q: A tree of height y meters has approximately B branches, where B = y - 3. Each branch has…

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Q: Starting with an initial value of P(0) = 75, the population of a prairie dog t community grows at a…

A: The population of a prairie dog community grows at a rate of

Q: Write the differential equation of the following satisfying the given conditions. 1. Family of…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly re…

Q: The graph of an equation is given. a. Find x and y-intercepts. b. Find symmetries (if any), about…

A: Given graph of ellipse

Q: Consider the point. (1, 2, 6) What is the projection of the point on the xy-plane? (x, y, z) = ( )…

A: The projection of a point xy plane =yz plane =xz plane=

Q: find dy/dx, when y=13(20-x4)5

A: To find , when .

Q: (2) Evaluate the following integrals S -0.5x dx 5e

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Q: Let f(x) = 1 (x + 2)² The graph of f is given below. Use the graph of f to determine the given…

A: The limit of a function y=f(x) at any point x=a is the value y approaches as x approaches a from…

Q: evaluate the following integrals please

A: We have to evaluate the given integral.where C is integral constant.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the average rate of change of g(x)= 2x^3 - x + 1 from x= -1 to x= 4

A: substitute x=-1.substitute x=4

Q: √√x-1 5. lim x-1 x 1

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Q: Radius (feet) 80 70 80 60 50 40 30 20 10 0 0 10 20 30 40 50 60 70 80 90 Time (minutes) (a) How large…

A: From the graph, radius when time

Q: Check Your Understanding 2. Let f(x) = x, and let a be any real number. Sketch the Limit Law 8…

A: As per our guidelines,  we are supposed to solve only one question.  If you want more to be solved…

Q: Write the equation of the line that is perpendicular to the given line and passes through the point…

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Q: Is the function even, odd, or neither? f(x) = x³ + x³ + 6 even X

A: Let a function f( x ) For finding the odd and even nature of the given function f( x ) Replace x…

Q: 2. y²dx + (3xy-4y³)dy-0

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Q: 1 (b) [ [(5x√3x + ²√x)dx 2

A: To evaluate the following integral.

Q: 2. t³ - 1 lim t-1 t-1

A: To evaluate the following limit.

Q: (c) fel/2² x2 -dx

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Q: Find a. x and y-intercepts. b. symmetries (if any) about the x-axis, the y-axis, and the origin. X

A: The given graph

Q: 21

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Q: Suppose H (x) = 7x² +6. Find two functions f and g such that (fog)(x) = H (x). Neither function can…

A: Given  and Now, Composition of two functions is denoted by and is defined as here, g(x) is…

Q: Determine the indefinite integral. (Hint: Use an identity.) Stank tanh2x dx

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Q: Complete the table to find the derivative of the function without using the Quotient Rule. Function…

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Q: Help please

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Q: Let f(x) -5 -4 - The graph of f is given below. Use the graph of f to determine the given limits and…

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Q: 1. A student throws a book into the air and records the book's height as a function of time. Time…

A: Time (sec)00.51.01.52.02.53.03.54.04.55.0Height (fr)6.044.575.097.5112.0118.5117107.590.064.531.0

Q: Only question d e and f Find the distance from (4, −3, 8) to each of the following. (a) the xy-plane…

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Q: The ACME manufacturing company makes widgets. Their fixed costs are $2000 per month, while their…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The rectangular coordinates of a point are given. Plot the point. -6 O -6 O (r, 0) = (4,0) (r, 0) =…

A: given rectangular cooridnate (4,0)