x2 - 2x + 1 dr. (x² – 2r- 3) 2.x

Q: The graph of g(x) is shown. 4- -1 3. 4 If it exists, compute the exact value of lim g(1.75 + h) – g(...

A: Explained below 

Q: 3e *dx ,3x – 16

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  take deriv...

Q: dy 4. Solve the homogeneous differential equation + 6xe x. dx

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Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

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Q: Find k such that the following matrix M is singular. 3 -3 M = 3 5 -6 -1 + k -16 21 |

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

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Q: Find the general solution of the given second-order differential equation. у" — 10y' + 26у %3D 0 y(x...

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Q: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is 15 feet above the g...

A: The given data is: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is ...

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 9x2 f'(x) = ...

A: We will find the derivative and domain of f(x) and f'(x) as shown below

Q: Use the graph to find the following limits and function value for each value of a. i) lim f(x) ii) l...

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Q: Let f be the function below. You may click on the graph to make it lan Use interval notation to indi...

A: Given the graph is

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x+3x at x= - 1 The ...

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Q: Find f ° g ° h when:  f(x)= 1/x     g(x)=x^2.    h(x)=x^3+2 You do not need to simplify your answe...

A: Topic  =Functions

Q: 10 In the diagram, the sphere touches each face of the cube at one point–the center of each face. If...

A: Given that each side of cube,a=5Solution ; According to given diagramradius of spheare,r=a2A reasona...

Q: The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV = 8.3...

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Q: Karen decided to put her money into two investments. She deposited an amount in an investment paying...

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Q: A roller coaster is being designed that starts at (0, 21) and ends at (24, 1). Along the ride there ...

A: Given query is to find the correct option for the graph.

Q: Sketch the graph of each function over one period. Identify the amplitude, period, phase shift and v...

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Q: Find the Taylor series generated by f at x = a. f(x) = 8*, a = 3 Choose the correct answer below. 51...

A: The given function is; f(x)=8x, a=3.

Q: Suppose that f(2) = 16 and that f (x) 2 - 3 for allx in the interval [2,7]. Determine the smallest p...

A: Follow the procedure given below. 

Q: sec® tan n³Od0 5ød® cos®

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Q: Find the derivative of the function. Simplify where possible: 32) y=tan^-1(x-(sqrt(1+x^2)))

A: some important Derivatives :   1. ddxtan-1x = 11+x22. ddxxn = n*xn-13. ddxx = 12x4.ddxconstant = 0

Q: X +729 If k(x) = complete the table and use the results to find lim k(x). X-9 x+9 -9.1 - 9.01 -9.001...

A: NOTE: Refresh your page if you can't see any equations. . take x=-9.1 . take x=-9.01

Q: Find the Taylor series generated by f at x = a. 1 f(x) = Choose the correct answer for the Taylor se...

A: f(x)=1x2, a=1

Q: Sketch the region that corresponds to the given inequalities. 2x + 4y 2 20 ys 5 x2 0, y 2 0 y y y 10...

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Q: Σ6 Given the series 2 k=0

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Q: III. FIND THE POINT OF INFLECTION OF THE FOLLOWING CURVES. (SKETCH THE GRAPH) A. y= (1/3)x - (1/2)x²...

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Q: Find the vertex of the parabola by applying the vertex formula. 2. f(x) = 4x - 16x +3 The vertex is ...

A: We can find the vertex as below

Q: Help

A: Please refer to the image below

Q: II. Given the graph below, determine if the function H(z) is continuous at the following values of z...

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Q: The size of a certain insect population is given by P(t) = 100e , wheret is measured in days. At wha...

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Q: Prove that the following integral can have any of the following 3 answers Ssen x cos x dx a) senx + ...

A: ∫sinx cosx dx multiply and divide by 21 2∫2sinx cosx dx=12∫sin2x dx    

Q: Express the following limit as a definite integral. n 1 lim Σ -Axg where P is a partition of [2,3] 1...

A: From the definition of the definite integral of f from a to b , we have               ∫ab f(x) dx =l...

Q: a The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where...

A: length of curve

Q: How would I find a cost function if only given the fixed cost and variable cost?

A: Cost function is obtained by the sum of fixed Cost and variable cost

Q: 4х — 3, 0 < x < 3 - f(x) = 5, х? — 6х + 18, 3 <х x = 3 %3D use algebra to find each of the following...

A: We have to find limit and sketch the graph.

Q: 3. S "(o2-1)dv v2+1

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Q: Given the function, f (x) = 5 +4 sin 2 select the correct word/number for the following statement. T...

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Q: The equation of motion of a particle is s = t – 4t3 + t2 - t, where s is in meters and t is in secon...

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)3 at x-3. y =D] (Type your answer...

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Q: 2x2 – 5x + 2 - Let f(x) %3D 2x2 + 7x 15 This function has: 1) A y-intercept at the point 2) x-interc...

A: We have to find horizontal asymtotes and vertical asymtotes

Q: sin2t costdt A sin2t B cost sin³r

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: a) The cost of first-class postage stamp was 5¢ in 1965 and 50¢ in 2010. This increase represents ex...

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Q: />(4y++ +9) * dy 12y2-

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Q: A ladder 25 feet long is leaning agalnst the wall of a house. The base of the ladder is pulled away ...

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Q: JUIT U Practiče Problems S teachers, there were 90 markers left The diagram represents the situati m...

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Q: 15 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ Write an equation for the function graphed above

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the graph has a cubic behav...

Q: A one-to-one function is given. Write an equation for the inverse function. 9. s (x) x+3 '(«) = U %3...

A: We can write the inverse function as below.

Q: 8. Convert to degree measure. Round the answer to 2 decimal points. 2n/7

A: (a) Given:- The radian measure is, 2π7 To convert: - The radian measure to degree measure.

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12 c...

A: