Let f(x) = 5 x - 4 Evaluate the limit: lim f(x) x →4 = 40 x² - 16

Q: find the values of k for which the matrix A is invertible

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Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

A: First of all make a figure with monument at origin and both boundaries.

Q: Eliminate A and B from the relation y = Ae²x + Bxe ²x

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Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Please see the below picture for detailed solution.

Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: Given Coordinates of the monument (0,0) Distance of any point on inner boundary from the monument is…

Q: 2x + [2x] x+ 2+ x²+x-2 aluate lim 2x + [2x] x-2- x² + x - 2 and lim

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Q: Evaluate lim X→-2 x²-x-6 x-2

A: We can find the limit of the function.

Q: B: Evaluate the following: r (4)r (²) 1-

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: 65-4 52-45+16 4/ A: 1- L-1,

A: given the function in laplace form

Q: Solve the problem. An object of mass m is dropped from a helicopter. Assuming that air resistance is…

A: Topic = Differential equation

Q: Evaluate lim √9x² − 5x + 1 + 3x 3x). X118

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Q: Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 y 1 234 567 89

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Q: Part 2. Sketch the graph of a function satisfying all the given conditions. • The domain of f is…

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Q: Use Secant method to find the solution of e-2 – – sin r + 2 = 0 accurate to within 10-5. Take po =…

A: The given equation is e-2x-x-sinx+2=0 and initial conditions are:p0=0.5 ,p1=1.0 The formula of…

Q: The condition is, H (7) = 17.9; 260 1+ Ce-0.004 (7) 17.9= ⇒1+C₂-0.004(7) ⇒Ce-0.004(7) 260 17.9 -662)…

A: a differential equation is an equation with one or more derivatives of a function. The derivative of…

Q: The body mass of a certain type of sheep can be estimated by M(t) = 26.4+0.4t-0.00112 where M(t) is…

A: Given: m(t) = 26.4+0.4t - 0.001t2 where M(t) is measured in kilograms and t is days since May 25.…

Q: Evaluate lim 1 1-2x X-3 x-3

A: Here we have to use the concept of limits

Q: Determine whether the function G(x,y) { Is xy2/3 30-7x3, if (x,y) = (0,0) √√√x+2y³ if (x,y) = (0,0)…

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Q: Given that f(x) = x² - 7x and g(x) = x + 8, find: a) (f+g)(-1): b) (fg)(1) c) (fg)(-1) = (-/-) ( −…

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Q: Using the concept of differential approximates the value of sqrt(85)

A: Given value is 85 We have to find its approximate value using differential approximation

Q: 1- L-1 6S-4 S²-4 S+16 2 (

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Q: хр (DZUIS-(x87 sex =h П ћp pul

A: We can find the required answer in the below steps.

Q: 1. Find lim x2-x² 1 x3 8 - 4x +4

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Q: (1-x)y' = y²

A: Given Differential equation (1-x)y'=y² This can be written: (1-x)dy=y^2dx; separating the variables:…

Q: Find the solution of the differential equation y" — xy' + y = 0 a. y = x² b. y = x c. y = 1-x² d. y…

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Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Please answer question 72

A: We have to find the area of the shaded region.

Q: Question Find the equation of the horizontal line that contains the point (–9, 1). Provide your…

A: We can find the answer in the below steps.

Q: 2y + [[ 2-y]] lim Y>-2- y² +Y-2 lim Y→-2+ 2y + [[2-y]] y² +y-2

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Q: 2.) If x= 3, lim In(x+h)-In(x)

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Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: By using Lagrange interpolation formula to determine the relationship between the force and velocity…

Q: B: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 10 69 8…

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Q: 4. You have 20 ft of wire that you want to cut and fold into two different shapes, a circle and a…

A: Given length of wire = 20 ft

Q: The interval(s) on which f is decreasing is/are (Type your answer in interval notation. Use a comma…

A: To find the intervals on which f is increasing:

Q: and sketch its graph. Label all criti 1 c) f (x) = xe-*

A: Given problem:- fx=xe-x

Q: Q2. Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) =…

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Q: Show all necessary solutions and box all final answers. √√x² +11-3 x 4 3x²8x - 16° 1. Evaluate lim

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Q: 3. By y = definition, find the derivative 2x 3x + 4

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Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: 4.For the 2 curves xy = 8 and x² = 64y, find the angle between the two tangent lines at their point…

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Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: Q4/ A. Solve the set of equations by using matrix method (2x₁ - 3x₂ + 8x₂ = 6), (x₂ + 7x₂=-4),…

A: A detailed solution is given below.

Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

A:

Q: (5, 4) and 6 = ( − 7, 8). Compute the following vector projections. Let a = proja b proj; a =

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Q: 2. Evaluate the following limit. * 1 4 +1+ X lim x-4 4+x

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Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

A: Let's find equation of boundary layers.

Q: v=(√2x-4)G

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Q: Average cost.  Tongue-Tied Sauces, Inc., finds that the cost, in dollars, of producing x bottles of…

A: Cost function C(x) = 375+ 0.75x^(3/4) Then find the rate at which average cost is changing?

Q: A || [3 2 4 2 3 0 2 0 -2 1-3 0 3 2 57 10

A: