1. Explain why lim x-1 does not exist

Q: Let the function f(x) have the property that f'(x) g'(x) = = = x+5 x-2 ¸ If g(x) = f(x²) find g'(x).

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Q: -2y time does y increase to 100 or drop to 1? Round your answer to four decimal places.

A: we will find the required.

Q: Find the absolute maximum and absolute minimum of the function f(x, y) = 2x³ + y on the region {(x,…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

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Q: Problem #8: Evaluate the following limit. lim (x, y) (0,0) If the limit does not exist then enter…

A: J=lim(x,y)→(0,0)xx+4y

Q: Find x² - 4x equation of the plane tangent to: z = 4e" at (8,16,4)

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Q: Find the eigenvalues and a corresponding eigenvector to the matrix: -2 3 4-(7²8). 0

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Q: 6 An aircraft spotter on the ground observes a plane flying towards her at a constant altitude of…

A: According to question, Given data, Height of plane = 400 m, Angle of elevation = π6

Q: SKETCHPAD Question 7 What is the exact value of 2 tan(cse-¹(-/-))₂ PENCIL THIN BLACK

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Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

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Q: I Let f(1) = 1+8 Give exact answers (not decimal approximations). .. Find the values of a where…

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Q: Find the general solution of the given differential equation. y'' + 18y' + 81y = t−2e−9t,   t > 0

A: Given

Q: 1. Let f(x)=√x. a) Find the linearization of f(x) = √√x at x = 16. b) Use the linearization from…

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Q: Solve the given differential equation. 9ydx − 9xdy + x°dx = 8dx The solution is (Type an equation.)

A: 9ydx-9xdy+x2dx=8dxwe know  d dx(yx)=xdy-ydxx2∫xndx=xn+1n+1+c

Q: particle moves according to a law of motion  s = f(t),   t ≥ 0,  where t is measured in seconds and…

A: Here we have to use application of differentiation.

Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. Y(s) y" +…

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Q: 1. A car starts driving north 30 mile per hour from Station A. Two hours later, a truck starts…

A: A car starts driving north 30 miles per hour from station A.  Two hours later, a truck starts…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Please see the below picture for detailed solution.

Q: ƒ" (1) ex+1 -1≤x≤0 = {atex = la[(x - 1)²3] 0≤x≤ 0.5' AB2: It is known that f(x) = e+4 2 where a is a…

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Q: Find the directional derivative of f(x₁x) = 3x²³-y²° +5x²³y at (2₁-1) in the direction of -37-48

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Q: Find the equations for the lines through the point (a, c) that are parallel to and perpendicular to…

A: Given query is to find the equation of the lines

Q: Suppose that f(x) . (If an answer does not exist, enter DNE.) (a) Find all partition numbers of…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Translate the given matrix equations into a system of linear equations. (Enter your answers as a…

A: Given, 01911-500xyzw = -25

Q: Approximate R10 and L10 of v(t) over [0, 5] and interpret their meaning physically.

A: If a function is defined on an interval a,b then Rn=b-anfx1+fx2+fx3+...+fxn and…

Q: Suppose the function g(x) has a domain of all real numbers except x = 8. The second derivative of…

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Q: Solve the following IVP, for the parameter b choose among the following 2, 5, 7, 9 y-b √₁ y': , y(0)…

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Q: Use the Laplace transform to solve the given integral equation. + 6 ² ₁² - f(t) + f(t) = cos(t) (t =…

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Q: Find the integral Stan" & sec²stx 4 2 x secxdx.

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Q: Calculate y() (0) for 0 ≤ k ≤ 5, where y = 4x² + ax³ + bx² + cx + d (with a,b,c,d the constants) y…

A: Given:- y=4x4+ax3+bx2+cx+d

Q: 10 1 1 1 [1 0 0 1

A: As per our guidelines we only solve one question and rest of the question will be reposted.…

Q: Which of the following statements are always true? (i) All non-empty traces of a hyperboloid are…

A: SOLUTION :- Quadric Surfaces are types of surfaces can be described by second-order equations. We…

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 200e-x² - 3y² - 7z² where T is…

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Q: The graph of the derivative f' of a function f is shown. YA y = f'(x) LÄ 2 X = (a) On what intervals…

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Q: f(x) = sin 'x Sin'x -2x

A: We have to find the critical point.

Q: Q[14] (*): Find the values of the constants a and b for which cos(x) x 0 is differentiable…

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Q: A manufacturer sells video games with the following cost and revenue functions (in dollars), where x…

A: Given:- The cost function in dollars Cx=0.19x2-0.00002x3 The revenue function in dollars Rx= 1.054x2…

Q: Which of the following planes are parallel to the plane x-3y - 4= = 1? (i) 3x-9y- 12 - 1 (ii) -x +…

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Q: Calculate the derivative indicated. d'y dx4x=9, y = 4x-3/4

A: Given query is to find derivative.

Q: 5. Find the maximum height above the x-axis of the polar curve r = 2+2 cos(0).

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Q: Suppose a product's revenue function is given by R(q)--7q² +500g, where R(q) is in dollars and q is…

A: Marginal revenue is the rate of change of the revenue function. Marginal revenue is denoted by…

Q: You are standing above the point (2, 2) on the surface z = 15 - (3x² + 2y²). (a) In which direction…

A: Please see the below picture for detailed solution.

Q: 8.) Find the general antiderivative for each of the following functions: a.) f(x) = 3x² + b.)…

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Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: Differentiate the function f. f(x)=-3x - 5 F'(x) = Graph y = f(x) and y = f'(x) on the same set of…

A: Given : differentiate

Q: f(t) f(t) = 0,73t³ — 2.² +0,6-and-g(t) = 0,17² - 0,5t + 1.1--1

A: see below the graph

Q: The graph of y=x² + 1 is shown below (not drawn to scale). P (a) If a = 50, find the coordinates of…

A: The graph of y=x2+1 is given as ,

Q: Calculate the derivative indicated. dyx=9, Y = 4x-3/4

A: y=4x-34d dx(xn)=nxn-1

Q: Find the derivative of f (y) = 9 tan (y) - Enclose arguments of functions, example, sin (2x) or…

A: to find derivatives

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The sequence have alternate negative and positive terms. This is possible only when we introduce…

Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

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