Use the graph of f(x) to evaluate the following: 6 + 5 4 3 2 1 -1 f(x) 1 2 3 4 5 X Average rate of change of f(x) over the interval [3, 4] =

Q: Given the homogeneous differential equation, (4D³-3D+1)y=0. The roots of the auxiliary are Om = -1,2…

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Q: Question 4 moriro 4. Simplify the following. Show all details and leave your answer with only one…

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Q: Let C be the curve defined by the following system of √x+6y²-2²=0 3y = z 14:

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Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

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Q: 14) у = так? (*); а = ? А) Ч 47X2 х2+4 B) - L 2\4-x³² c) 2 D) L 2+X

A: according to guide line we do only first part .please re post other parts in next question (14)…

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin(2x), g(x) = cos(x), -…

A: Please see the below picture for detailed solution.

Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

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Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14…

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Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

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Q: 14) y = Tan¹ (3); dy =?

A: 14) y = tan-1( x2 ) dydx = ?

Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

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Q: Question 1: Find an explicit formula for the geometric sequence with a₁ = 10 and a4 = 80. a_n=…

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Q: er the equation of the parabola graphed below, using the vertex form y = a (x-h)²+k. y = (-1,0)…

A: To solve the following problem using graph

Q: Suppose that an automobile's velocity starting from rest is v(t) = lecimal place. O 3.3 ft/sec2 O…

A: Acceleration

Q: Find a "cartesian" equation for the circle which is given by the polar equation r = 2 sin 0, and…

A: Given query is to find the Cartesian equation and the centre of the circle.

Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

A: NOTE: Refresh your page if you can't see any equations. . take inverse Laplace

Q: 6) as an ice black metts, the note at which its moss M, decreases is directly proportional to the…

A: according to bartleby guide line we do only first part of multipleplease re post other parts 6)…

Q: (x) = x4−256x+4 Enter the x-values of any local minima, maxima, and inflection points.

A: Given f(x) = x4−256x+4

Q: Explain and demonstrate how to find the eigenvalues of the matrix 0 2 2 3]. -3

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Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

Q: If y is inversely proportional to x, and y = 9 when x = 6, write a formula for y in terms of x. Use…

A: Given y is inversly proportional to x let k = proportionality constant

Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

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Q: If f(x)= f'(x) = = tan z sec x -4

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Q: List the first five terms of the sequence. an = cos(npi)

A: Given query is to find first 5 terms.

Q: Find the length of the loop of the given curve. x = 6t - 2t³ y = 6t²

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.

Q: Find the derivative of the function. y = sin ¹(cos-¹(t))

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Q: Quality management charges 7.5% of the monthly rent on properties it manages. If they manage nine…

A: Given Quality management charges (r)=7.5% of the monthly rent on properties it manages total number…

Q: and the average value of f(x)= uestion 25 4(x²+2) x² on the interval [1, 3]. Round your answer to…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2 sin 0, 3. Find a "cartesian" equation for the circle which is given by the polar equation r = and…

A: The polar equation is  r=2 sin θ

Q: Find the area of the surface generated when y = 2√x from 1 ≤ x ≤ 4 is rotated around the x-axis.

A: We are required to find the area of the surface generated when y=2x is rotated around the x axis…

Q: 1. Evaluate: 1 1+x+x\ L₂FF dr

A: Given integral is ∫-2111+x+xdx

Q: Find the length of the curve x = t³, 312 y = ²2² ²²₁ 0 ≤ t ≤ √3 t²,

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Find the limit of f(x) = lim f(x)= -7+- X as x approaches co and as x approaches -8. lim f(x) = X→∞0…

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Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

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

Q: 3x 16x³ +24x² - 9. Find: 10. Given f(x) = a) All maximum and minimum points b) All intervals wher

A: given that ;- f(x)=3x4-16x3+24x2-9now ,  f'(x)=ddx3x4-16x3+24x2-9f'(x) = 12x3-48x2+48xand…

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: Use left endpoints and 10 rectangles to find the approximation of the area of the reg Round your…

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

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Q: Find dy/dx and dy/dx². x = e, y = te-t dy dx² For which values of t is the curve concave upward?…

A: Given query is to find indicated derivative.

Q: Find the critical point of the function f(x) = sin ¹2-72 in the interval 0 < z <1

A: Given query is to find critical points.

Q: Solve the integral by substitution S- dx. -2x √25-x² Use the math type button tool ( √ ) under the…

A: We need to find out the integration by the use of substitution method.

Q: Graph the circle given below by moving the key points: (x - 2)² + (y + 2)² = 16 To graph the circle,…

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Q: Find the equation of the line through the point (-5, 4) and perpendicular to the line y = 2-5.…

A: In this question, we want to find a equation of the line perpendicular to the given line passing…

Q: 10-9-8-7-6 -5 -43 -2 10 thow 4665 8 7 665 + 4 324 7 -3 -4 -5 -6 -7 -8 -9 10 7 ∞ 114 OI 6

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Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

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