lim √x+15 cos (x + 4) X--4t

Q: Find the vector equation for the line of intersection of the planes 4x + 5y - 4z = -2 and 4x + 2z =…

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Q: y = 16x³ + 4√√x +5x

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Q: Given that f(x)= x² + 5x and g(x) = x -2, find the unsimplified AND simplified versions of the…

A: f(x)=x2+5xg(x)=x-2

Q: Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V…

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Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Given that A=[4 2 1; 1 5 9; 3 8 7] To find in MatLab: A'=? inv(A)=? size(A)=? A(:,2)=[]

Q: Solve the problem. dP The rate of growth of a population P is given by t =kP+N, where N is a…

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Q: 1. A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is…

A: Concept: As we know that the equation of the circle is represented by x2+y2=r2 Here y is represents…

Q: 2. (3D — 1)y = 6e³x

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Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: From given table

Q: Sketch the level curves of g(x, y) 1- y² x² where k € {-1,0, 1}

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Q: The rate at which the total average number of COVID cases is increasing at x=20 tents and dx/dt=2…

A: The given area is 21,600 square meter. One third of the area will be used to plant mango tree. The…

Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: 3. x²-3 2 x² + x ૨૨ IV 1

A: Please see the below picture for detailed solution.

Q: Consider the graph of  (10 − x)y2 = x3. Find the slope of the graph at the given point.

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Q: 6 5 4 3- 2 -6-5-4-3-2-1 1 -2 | || 서 3456 -3- -4 -5 6 1 2 3 4 5 6

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Q: Find y" of y = √√x-4

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Q: (4-x-x² if x ≤ 3 if x > 3 2x-9 Calculate the following limits. Enter "DNE" if the limit does not…

A: We have to find the limit.

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

A: We can find the limit as below.

Q: The function h(x) defined as: f(x)= = 1 x + 7 can be expressed in the form f(g(x)) where g(x) = x +…

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Q: Evaluate_lim_ (√√9x² − 5x+1+3x).

A: Replace x with -a and then go ahead.

Q: Using the First Derivative Test, what are the local extrema for the function s(x) = − 3x³ + 10x² −…

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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: 1. Find the minimum amount of fencing required to surround a rectangu- lar area of 100 square feet.

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Q: A = -3 -30 25 1. -105

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Q: 9-20 Compute the differential dz or dw of the function. -1 13. z = tan xy

A: To compute dz of the following function: z=tan-1xy

Q: f(x, y) = x² - 2x +1+3y².

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

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Q: Q5/ A: Solve the following differential equation by Laplace : dy - 4y = 16 t =-6, y(0) = 3 dx² dy dx

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Q: B) Find the area of the region between the curves x = quardrant. = y² and x = y + 2 in the first

A: The given curves are x=y2 and x=y+2.   Now find the points of intersection between the given curve.…

Q: f(x)-f(a) x-a a. Use the definition mtan = lim x→a a. mtan to find the slope of the line tangent to…

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Q: Find the solution of the differential equation (t² + x²)dt + (2tx − x) dx = 0. a. 2t³ - 6tx² – 3x² =…

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Q: lim [[ 2-y]] + x2 z-k+zk _2-4h (!) Y→-2+ _zy + [[2-y]] y² +y-2

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Q: Find the indicated limit given that lim f(x) = 6 and lim g(x) = 3. x-a x→a lim 2f(x) + 5g(x) x→a

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Q: 10. Given the graph below is f(x). Draw the graph of the slope f'(x) 5 4- 3 2 1 0 -4-3-2-1,0 1/2 3 4…

A: Solution is here

Q: x 6 ♥ 5.5 5.1 5.01 f(x) Based on ONLY the table of values above, what conclusion c lim f(x) = 10.…

A: Topic:- application of derivatives and limits

Q: Is the following function homogenous or not? Prove your answer u = (x+y)¹/²

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Q: 5. A culture contains some bacteria, with the population increasing exponentially. The culture…

A: Let's find bacteria function.

Q: Question 5 of 14 > Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 SEP 19 y f'(2.5) = 1 2 3 4 5 6 789…

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Q: -8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

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

A: Topic = Differential equation

Q: 1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...}…

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Q: B: Evaluate the following: r (4)r 1– r 912

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Q: Given q(x): -8+√/114 10 Select the correct answer below: 8+√114 10 -5x-4 6x²+3 O8+√114 and 5 8+√114…

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Q: inverse function

A: Given, y=cos-1sin 6x

Q: Find the derivative, but do not simplify your answer. y = (x² + x + 2)(√x - 2√x+3) y' = Need Help?…

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Q: 10. 2/3 5² √4-9x² dx

A: As per our guidelines we are suppose to answer only one question, kindly rest can be reposted.…

Q: B: Fit a second order polynomials to the data in the following: 5 6 12 X Y 1 4 3 8 4 10 61 13 70 10…

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Q: A hardware store purchased a tool at P20,000 per unit. At what price should the tool be sold so that…

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Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

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Q: 3 5 -2 4

A: We have given a matrix  Let,  A=35-24 determinant of A is given as  A=3×4--2×5=12+10 A=22 Cofactor…