Evaluate the integral. If the integral converges, determine the number it converges to. If the integral diverges, enter “divergent” S In(2x) dx = ln (2) - 1 4

Q: z³dz /4 – z²

A: To perform the indicated integration by using Rationalizing Fractions. ∫z3 dz4-z2

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: f ₁ f(x) dx = 15, 0 these values to evaluate the given definite integrals. [ f(a) da = -10, [² g(x)…

A: We have to find the value of given intregal part.

Q: What is 7.8% of 220

A: X % of Y = Y × x100

Q: g(y) y - 1 y²y + 1 2

A: to find critical points of gy=y-1y2-y+1

Q: Given the graph of y = f(x) below, answer the following. y -5 -4 -3 -2 4- 3 2 1. -2 -3- -4 -5 23…

A: A graph of the function fx is given. We have to find a solution for fx≥0.

Q: A bucket begins holding 10 kgs of sand. The bucket is to be lifted to the top of a 25 meter tall…

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Q: Find the derivative of the function. f(x) = 5x²1n 3x

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Q: Sketch a graph of the function sin(x-45°) + 2. Please state the range.

A: Let f(x)=sin(x-45ο) + 2

Q: PART III: Solve the following problems. 2. The sum of two positive numbers is 2. Find the smallest…

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Q: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: The total cost function for a product is C(x)=700ln(x+100)−100, where x is the number of items…

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Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 4x²-3x + 484. Where…

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Q: The decibel level of a sound is given by the equation D = 1010810 ( where / is the sound's intensity…

A: The Decibel level of a sound is given by the equation  D = 10log10( II0  )  I is the sound intensity…

Q: 8) Find the inverse of the following matrix A. Show your work. Check your work. . i.e. AA-1 =1 1 2 2…

A: This Is question of algebra Here matrix is given  We have to find inverse of matrix  Further…

Q: 5. The golf ball manufacturer, Pro-T, has developed a profit model that depends on the number x of…

A: To find : maximum profit and values of x and y to maximize it.

Q: Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x-1 a)…

A: The given function is, f(x)=4-x2, x&lt;-1ax2-1, x≥-1

Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

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Q: y 10 7 -10 -5 5 10 (a) Identify the function. Orational O exponential O radical O quadratic O…

A: A graph of the function is given. We have to identify the type of the function and find its…

Q: (i) [² sin(x) sin (cos(x)) dx 0

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Q: [b] Take a limit of the standard slope formula, as shown below, to find the instantaneous rate of…

A: The given function is gx=x2+2x. To find the derivative at x=2 and the equation of tangent line at…

Q: Q Use horizontal strips to find the area, that is, integrate with respect to y. = First find the y…

A: Given functions  y = 3.75x x = 8.5 - y2

Q: Solve the given equation 3e*+2 = 75

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Q: Use the graph of f shown to the right to find the limit. If necessary, state that the limit does not…

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Q: Find a parametrization of the line in which the planes x+2y + 6z= -1 and 2x + 3y +9z = -3 intersect.…

A: Solving the problem

Q: Which functions are not invertible? y=tan(2x) Dy=2-5e-2 y = x(x² - 4) f(x) is the volume in liters…

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Q: A man gets a job with a salary of 31800 dollars a year. He is promised a 2780 dollars raise each…

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Q: F(t )=100,000t for the next 9 years. What is the Present Value of this income stream over the 9…

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Q: If land that can be farmed L is eroding continuously at a rate of 4.5% per year because of changing…

A: “Since you have asked multiple questions (a and b are not related to each other), we will solve the…

Q: 3. A paper cup has the shape of a cone with height 15 cm and radius 5 cm (at the top). If water is…

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Q: Which of the following are separable differential equations? A. y = 2x - 3y +1 B.(4)=x+y □ C. 2xydx…

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Q: Use the graph of G shown to the right to find the limit. If necessary, state that the limit does not…

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Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

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Q: Evaluate the double integral ∬(x^4)dA, where D is the top half of the disc with center the origin…

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Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Present value formula is given as for continuously compounded PV = ∫0tk( t )e-rtdt Where  PV is the…

Q: The least common multiple of the monomials 8a³x6 4a²x6y, abx³y² is: O(a) 8a³x6y² (b) 8a¹bxy2 O(c)…

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Q: Suppose that R is the finite region bounded by f(x) = √ and g(x) = co/8 3

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Q: Complete the table. f(x) = X f(x) ( - 11/1 x + 0 -3 -1 0 1 3

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Q: -3- -4 1 V 3 4 5 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: At two points on the curve y = x3 − 6x2 + 8x − 1, the slope of the tangent line is −1. Find these…

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Q: Use the graph of H shown to the right to find the limit. When necessary, state that the limit does…

A: The graph of the function Hx is To determine: The value of limx→-2Hx.

Q: egral, if it converges. If it diverges, F

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Q: week 5 discussion Section 4.1 #36 find the inverse function. those illustrated in Example 2, Check…

A: We have   f(x) = 3/4 x

Q: Determine the derivative with respect to 'x' of: f(x) = Cos (sin x) - sin(cos.x)

A: We know that the derivative of sinx is cosx  And cosx is -sinx

Q: Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t))…

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Q: Find the point at which the line meets the plane. x= −3+6t₂ y = −4+5t, z= −3+4t, x+y+z= -25 The…

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Q: Assignment: Consider the region bounde by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. A.…

A: Area under the curve f( x ) and g( x ) is given as A = ∫ab[ f( x ) - g( x ) ]dx Given functions y =…

Q: Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. L₁: x = 9 + 6t, y = 12 -…

A: We have to find that given lines are parallel interest or skew.