MOse the intermediate value Fun ction to Show that ex=3X Somewhere between X=0 and X=1.

Q: 1. Calculate the Integral sin x cos x dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Use the method for solving Bernoulli equations to solve the following differential e + 7y = e*y¯? dx...

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Q: If vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1) what Is C? Explain.

A: According to question,Given vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1)

Q: Find the cross product u x v and verify it is orthogonal to both u and v. a) u = 4i + 3j – 2k and v ...

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Q: Direction: Find the derivative of the function. Select one: 의 o o

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 4. The function f is defined for all real numbers. What is a reasonable estimate for lim f(x)? a. -5...

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Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x

Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: Differentiate the function. H(x) = (x + x=1)3 %3D

A: Important formula ddxxn = x(n-1) (a+b)3 = a3 + 3a2b +3ab2 + b3

Q: Subtract in the indicated base. 1002, 3224 10024 3224

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Q: 16. The first derivative of the function f is given by f'(x) = 3x* – 12x'. What are the x-coordinate...

A: Given: first derivative of a function as f'(x)=3x4-12x3To identify the points of inflection of x-coo...

Q: Function g is graphed below. Select all correct statements about g at x = 3 a. Both lim g(x) and lim...

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Q: 45. Suppose x. ifx 1/n for every natural number n, f(x) ={0. otherwise. b) Does lim, 0f(x) exist? If...

A: Given :f(x)=xx=1n ∀n∈ℕ0otherwiseTo check :limx→0f(x) exists?Formula :By Archemedian property ε>0 ...

Q: 7. There is aremovable discontinuity at x = 1 andf(1) = 4

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: (b) (c) yA

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Q: Perform the indicated operation: (5+2i)-(3-6i)

A: Given (5+2i)-(3-6i)

Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: B. Find the general equation of the following conic with the given properties. 2. A hyperbola with f...

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Q: To verify whether a matrix B is the inverse of the given matrix A, we need to check whether the prod...

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Q: 10 -dx (x – 1)(x² + 9)

A: According to question,Given integral,Let I = ∫10x-1x2 + 9dx

Q: Find the extrema and inflection points of f(p) = 900 p - 30 p2 using derivatives.

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Q: The sides of a rectangle are formed by vectors A and B with |A| =2 and |B| = 5. Determine the area o...

A: topic - vectors

Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

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Q: (1 + cos x)y’ = sin x(sin x + sin x cos x – y)

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Q: Evaluate the integral: x ln x dx Choose the most appropriate answer. 승nz- +C ,6 -In x 6 36 x° (ln x)...

A: We have to evaluate the integral ∫x5 ln x dx

Q: Find the integral of 12sin xcosxdx if the lower limit is 0 and the upper limit is 90°. OA 11.5 O B. ...

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Q: For which points the following function is continuous y f(x) = (2x – 4)2 – 4 %3D

A: Given the function is y = f(x) = (2x-4)2-4

Q: Sketch the graph of a possible function that illustrates the combination

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Q: (c) S /2x – x² dx

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Q: 4. Determine the constant m such that f(x) = {x2 + m, if x ≥ 3                                      ...

A: Given that: f(x)=x2+m, if x≥32x-m, if x<3

Q: dt x-5

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Q: Using Laplace transform, find the solution of the initial value problem. 5. y" – 4y = 6e³t – 3e-t, y...

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Q: c) f (x) = -(0.75)4x+2 – 5

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Q: 21. cos x cos 2x + sin x sin 2x

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Q: Given the differential equation 2 y" + y' = 6x (1) Find the Characteristic Solution, (2) Find the Pa...

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Q: a) Find the divergence and the curl of the vector field F × G, where F(x,y,z) = 2x²yi – y³z²j – 2z²k...

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Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first ...

Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

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Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

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Q: 1. lim f(x) = -1 and f(1)DNE %3D

A: In this question , we make a graph. when x tends to '1' , f(x) tends to -1. and f(1) does not exists...

Q: Find the area of the shaded region. y=2 y= 2sin(70x) -2. O 4+4 4 + 8

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Q: ,if x>2 Find the correct value of bb that makes

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Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)...

A: Let's find. 

Q: 1. Using the table of values, estimate lim 3x x-2 а. 3 b. 6 с. 2 d. 5 2. Using the table of values, ...

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Q: Express your answer in 2 decimal places.

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Q: Given f(x,y) = x-y-3xy³. Evaluate fdx O 14y-27y3 +C 6 O -6y³ + 8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x...

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Q: ditferential equatios 1. ( D+ GD+ 13)y 26 + GO cOS X

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Q: The answer is: Find the exact value of a in the given interval that has the given circular value. Do...

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Q: Using distance formula, show that the points (2, -1), (0, 1) and (2, 3) are the vertices of a right-...

A: Our Aim is to show that the points (2,-1), (0,1) and (2,3) are the verticesof a right-angled triangl...

Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...