| EJERCICIO 2: Obtenga la derivada de las siguientes funciones aplicando la fórmula correspondiente, luego evalúe en -1 f(x) = 2x² + x³ − x² + 4

Q: Find the limit. lim (2x² + 5x + 4) X→-3

A: Let assume,

Q: Determine the volume of the parallelepiped formed by the vectors [2, 1, 3], [-5, 1, 0], and [4,…

A: Parallelepiped formed by the vectors [2,1,3],[−5,1,0], and [4,0,−1].Volume of the parallelepiped…

Q: Given the point (9, 3) is on the graph of f(x)=√x, what would the point Become on the graph of…

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Q: If ƒ(x) = ln(2x), what is the value of f'(2) in simplest form?

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Q: Consider this problem: Find the area of the region enclosed by the parabola, y=1+x², the vertical…

A: The objective of this problem is to find the area under the curve of the function y = 1 + x² between…

Q: Find all horizontal asymptotes of the following function. ƒ(x) = 4x² - 10x 2 5x² - 34x - 7

A: Horizontal asymptotes

Q: dy f(x). At the point dx f(0) = -7 does f have a relative minimum, relative maximum or neither?…

A: Given that If  then relative minimum exists. If  then relative maximum exists. If  then neither…

Q: In the image below the graphs of two functions f and g are given. The green region has an area of 2.…

A: Given that The green region area  square units The yellow region area  square units The grey region…

Q: Solve for x. 3 -1 X-5 > -4

A: The given inequality .The aim is to solve the inequality.

Q: The figure shows a belt partly wound around a pulley, where the angle is given by 1 dT μT 0=(₁ T₂ Ꮎ…

A: The given figure is shown as,The angle is given bywhere, is the coefficient of friction. and  are…

Q: 3 Compute the following limit for the function f(x) = x² - 2x Lim f(3+h)-f (3) 410

A: Given,Let,

Q: Evaluate g(-x) in the function g(x) = x sinx to determine whether g(x) is EVEN, ODD, or NEITHER.

A: The given function is .The aim is to determine whether the given function is even or…

Q: If f (x) = = 1 In x' what is the value of f' (e5) in simplest form?

A: given function

Q: True or False: If lim f(x) = 2 and lim g(x) = 3, then lim[3f(x)² − 4g(x)] = 0 False True D-C .2

A: The objective of this question is to determine whether the given statement is true or false. The…

Q: Suppose that the graph of ƒ(x) = x² − x² is compressed horizontally by a factor of 2 and is then…

A: Solutions are following in explanation steps.

Q: please help step by step

A: The objective of this question is to find a polynomial function that has the given zeros -2 and 5. A…

Q: S 2x² + 5x - 19 x3 x³ - 4x² - 7x + 10 dx.

A: To integrate by partial fractions.

Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at…

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Q: Find the Solution of the following differential equation 3Y"+Y-14y = 2 ex

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Q: Estimate ∑ (-1)n / (2n + 7) to within an accuracy of 0.01. (Make sure to verify the series meets the…

A: The objective of this question is to estimate the sum of the series (-1)^n / (2^n + 7) to within an…

Q: Represent the following function by first sketching a surface, and second, drawing level curves: z =…

A: The function is given as,

Q: -54 -3 -2 Where A = Where A = 16 3 Where A = da 2 + Where A = + What is the domain of this function?…

A: Given:A graph of functionTo find:Domain and range of functioninterval where function is increasing…

Q: 9.) S -1 3x²+2x +0 x + 2 da

A: I=∫−11(3x2+2x+1x+2)dx

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A: The objective of the question is to verify the height of the ball at two different times and then…

Q: A cup of coffee cools according to Newton's law of cooling (3) in Section 1.3. dTxT-Tm or at =…

A: The objective of this question is to estimate the constants Tm, To, and k in the model of Newton's…

Q: (4) √x³√x² +1dx

A: We solve the given problem using the substitution method.

Q: 2. Assume all given functions are continuous. If lim (f(x) - g(x)) = 10 and ƒ(5) = -8 x → 5 Find g…

A: The objective of this question is to find the value of g(5) given that the limit as x approaches 5…

Q: A solid lies between planes perpendicular to the x-axis at x = -3 and x=3. The cross-sections…

A: equations of the semicircles the crossection perpendicular to the between these planes are squares…

Q: 1. For what values of x is the following function discontinuous? Ox=-6, -2, 1,8 Ox= -2,8 Ox= -2,1 O…

A: The objective of this question is to determine the values of x at which the given function is…

Q: 5. Find the length of the curve described by y - x3/2 from x=0 to x=8. 512√2 (C) 15 26 (A) 20 3 (B)…

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Q: A tank contains 100 gal of fresh water. A solution containing 3 lb/gal of soluble lawn fertilizer…

A: Solution is following in explanation step.

Q: The table below gives the annual sales (in millions) of a product. 1998 1999 2000 2001 2002 2003…

A: The objective of this question is to calculate the average rate of change of annual sales between…

Q: Express your answer as a polynomial in standard form. ƒ(x) = x² + 7x + 11 g(x) = 2x +4 Find: f(g(x))

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Q: just an explanation please

A: The objective of the question is to find the set of all x that satisfy the inequality |x + 12| >…

Q: Find the volume of the solid generated by revolving the region bounded by y = 2x², y = 0, and x = 4…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Note:-Since you asked multiple questions both are not interlinked. According to our policy we can…

Q: x+1 x(x − 1)² J dx

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Use t for the…

A: The objective of this question is to find a set of parametric equations for a line that passes…

Q: In the exercise below, the initial substitution of x = a yields the form 0/0. Look for ways to…

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Q: S 2x² + 5x - 19 x³ 4x² - 7x + 10 dx.

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Q: This did not answer my question

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Q: Find an equation of the plane with the given characteristics. The plane passes through (3, 4, 5),…

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Q: Sketch a graph

A: The objective of this question is to sketch a graph of the parabola with the given properties. The…

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

A: Need find the volume of the solid generated by revolving the region by the given curve and lines…

Q: 2. Assume all given functions are continuous. If lim (f(x) - g(x)) = 10 and ƒ(5) = -8 x → 5 Find g…

A: The objective of this question is to find the value of g(5) given that the limit as x approaches 5…

Q: Find the Solution of the following differential equa- Y"+ 2y + 10y = 25x²-3 éx

A: The given differential equation is

Q: 4. If x³ + y³ = 6xy, find y'. At what point in the first quadrant is the tangent line horizontal?

A: If , then to find .Tofind the point in the first quadrant at which the the tangent line is…

Q: Let f(x) = (x+4)² Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f…

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Q: X-2=4sece, solve √√(x S √(x-2)² - 16 X-2 dx.

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Q: 2. In the following exercises express the integrand as a sum of partial fractions and evaluate the…

A: Note: As per our guidelines, we can solve the first three sub-parts. Please repost the remaining…