17-22 Explain why the function is discontinuous at the given number a. Sketch the graph of the function. 17. f(x) = x+2 a-2

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 7x + 19 between x =…

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Q: 30. p = V 2x 500 - x 2x 0 < x≤ 500

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Q: Q3 Find the derivative of f(x) = ln x5 (b) = (a) SIX ४ ज (c) = (d) 5ln x4 x

A: Givenf(x)=ln(x5)

Q: T³ (x4+3) ¹ This can be transformed into a basic integral by letting Consider the indefinite…

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Q: n=1 1 + cos n en

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Q: Given the expression below. a) Show the given values of the cosine function on the right triangle.…

A: cosθ=1415

Q: Use the Divergence Theorem to find the surface integral F.ds across the positively- S oriented…

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Q: 1) Consider the vector function r(t) = (cos(3t), 2sin(-3t), t). Analyze the function, then sketch a…

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Q: V3 4 dx (tan¯¹ (x)) (1 + x²)

A: ∫134tan-1x1+x2dx

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 5 cos(8), y…

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Q: For the function f(x)=14x³ -x, make a table of slopes of secant lines and make a conjecture about…

A: The function fx=14x3-x

Q: Q1 Evaluate [f(x)g (x)] at x=-2 given f(-2) = 5, f'(-2) = −4, g(-2) = 3, g'(-2) = 7. (d) -4 (a) -84…

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Q: An √n²-1-√√n²+n

A: an=1n2-1-n2+n

Q: 1) Solve the following differential equations a) y'=x¹/²(y+y¹/2) b) ty+y=t¹/2

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Q: 4. Using the properties of the exponential function show that lim log x² x-0 =

A: Given that            limx→0log x2=-∞   Applying log rule:        logex=lnx           =limx→0+lnx2…

Q: 3. Find the Taylor series centred around zero for the function f defined by 5x-1 = e f(x) =

A: fx=e5x-1a=0

Q: The force on a particle is described by 8x³ - 2 at a point x along the x-axis. Find the work done in…

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Q: Use the Maclaurin series sin æ = Σ(-1)"- n=0 1² st t Find the first three terms of the Maclaurin…

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Q: 1. Let F(t) = (e¹−¹ – ť², 3t² + 1, 4-5 lnt), G(1) = (-6, 1,0), and f(t) = cost. Evaluate: (a) (F-G)…

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Q: Find the distance between the two parallel planes 5x3y + z2=0 -10x + 6y2z+3=0

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Q: The population in millions of arctic flounder (a type of fish) in the Atlantic Ocean is modele 8t+96…

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Q: inches. What is the largest volume that can be sent in a rectangular box? Girth girth are at most…

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Q: Personal savings in billions of dollars in the United States from 1980 to 1983 is shown in the…

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Q: Given the function P(z) - (x-2)(z-6), find its y-intercept is its z-intercepts are ₁ = When z→→∞o, y…

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Q: A particle moves along a horizontal line. Its position on the line in t seconds is given by s(t) =…

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Q: 3 dy - (+)) = 2₂²

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Q: n=2 1 In n

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Q: 1 5 A 3 24 1 To find the blue shaded area above, we would calculate: f(x) dx = area Where: a= 12 3…

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Q: Using the Maclaurin series sinx=(-1)" n=0 5.² = sin t ² t sin t dt. 22+1 (2n + 1)!' - dt = Σ n=0 0.6…

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Q: Find an equation y = f(x) for the parametric curve c(0) = (cos(8), 2 cos(0) + 5 sin² (0)) and…

A: We are required to: Find an equation y=f(x) for the parametric curvec(θ)=[cos(θ),2cos(θ)+5sin2(θ)]…

Q: 4. Perform the line integral F. dr, where the vector field is F(x, y) = yi+xj, and the path C is…

A: Fundamental of line integral ∫F.dr = ∫t1t2F( r )r'( t )dt Given F( x , y ) = yi + xj r( t ) = cost i…

Q: Q1 Find all the eigenvalues and eigenfunctions for the following BVP: y"+Ay = 0, y (0)=0, y (π)=0…

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Q: $ 4 -1 -2 -5 S 4 5 The graph above shows the base of an object. Compute the exact value of the…

A: From the given figure

Q: Find the solution of the exponential equation 1000 (1.08) 50,000 in terms of logarithms, or correct…

A: The given equation is solved for the value of t.

Q: 1. S 34x-1 3x - dx

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Q: Sketch the graph of the given function by determining the appropriate information and points from…

A: To sketch the function by finding its maximum and minimum and inflection points.

Q: The population in millions of arctic flounder (a type of fish) in the Atlantic Ocean is modeled by…

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Q: Evaluate the definite integral. 64 104 7 1 (x + 1) √x dx

A: I=∫1641x+1xdx

Q: [ 4xex dx

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Q: Rewrite the equation in exponential form. In (a) = n Include a multiplication sign between symbols.…

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Q: Solve the differential equation dy da 3x² + 4x + 2 2(y-1) y(0) = -1.

A: We have to solve the differential equation.

Q: = 3 to 6 using a Right Endpoint approximation Approximate the area under the curve y = x³ from x =…

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Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary 70 2 (x + 1) (x² +9) ² dx…

A: To integrate the following question.

Q: Rewrite the equation in exponential form. In (x) = n

A: We are required to: Rewrite the equation ln(x)=n in exponential form.

Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

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Q: Evaluate the definite integral. 1 e² + 8 6² o e² + 8z dz

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Q: Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If…

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Q: Find the length of the graph of f(x) - + 1 1≤ x ≤4

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Q: 4) Let two vector functions be defined by r₁(t) = (t², t, 3t³) t² r₂(t) = (t - 1,7,5-t) a. Find the…

A: Given that the vector functions are  r1t=t2,t,3t3 and r2t=t-1,t24,5-t. a)It is required to find the…

Q: Calculate the arc length of y=x²-½ln(x) c over the interval [1, 2e]. (Use decimal notation. Give…

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