7:3 af + + 7 d ² -dx Evaluate the indefinite integral + C

Q: The graph below is the function f(x) 5 4

A: From Graph : f(2) = 1limx→2f(x)=2≠f(2) Therefore limit does not existThe function is not continuous…

Q: Consider y = ln (²). Compute.

A: The given data is: y=lnx2 To compute y'.

Q: 3. Find the area under the parametric curve c(t) = (t³,t²-1) for 1 ≤ t ≤ 5.

A: Use area formula in parametric form

Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

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Q: 7x+2 8- Find S dx (Using substitution method). √7x-3

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Q: g'(2) = g(x) = x + 4

A: dxndx=nxn-1g(x)=x+4x2g(x)=x+4x-2

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

A: To find the value of the angle θ

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Q: 12) y = 2-X ; 3x+1 A) -7 (3x+)² B) dy = ? 6x-5 (3 XH)² (3x+1) DJ 3+2x

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Q: 14 Approximate [ (x² - 4) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

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Q: Find the vertices, foci, & of the asymptotes Hyperbola & Sketch its graph 25x²-9y² = 225

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Q: Using the first two terms of the Maclaurin series for sinx gives sin 40°, as an approximation to 3…

A: We need to find approximate value.

Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

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Q: Find the domain and range of g(x)= In(tanx) on [0,1]. Show some work or explanation.

A: The given function gx=lntan x on 0, π. We have to find its domain and range.

Q: At what interval is y=2x4-4x2 decreasing?

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Find the area inside the loop of the following limacon: r 7-14 sin 0 -

A: Given: r=7-14sinθ To find: Area inside the loop of the given limacon Now, we know that area of the…

Q: dy 13) y = (x+2xT; 2 =? A) X+L y D) B) 4y (Xi) (XH) (x + 2x-1) 3/2 c) 1 21Xষx

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Q: The graph of the equation x² - 2x + y² +6y-6=0 is: a) a line through the point (2,-1) b) a parabola…

A: Given equation:- x2-2x+y2+6y-6=0

Q: a) Evaluate the following integral. 2 2w5-3w+8 dw 2w² S²

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

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Q: Test the series for convergence or divergence using the Alternating Series Test. Identify b Σ…

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Q: Find an equation for the tangent to the curve at the given point. 6) y=x2-x, (-3, 12)

A: First find slope then use equation of tangent line

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. [Hint:…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt dy dt…

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Q: Use Newton's method to approximate a root of the equation 2x² + 5x² + 2 = 0 as follows. Let ï₁ = 2…

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Q: 58. If the birth rate of a population is b (t) = 2200e0.024 people per year and the death rate is d…

A: NOTE: Refresh your page if you can't see any equations. . the birth rate is  and the death rate is…

Q: A patient's temperature is 101 degrees Fahrenheit and is changing at the rate of  t2 − 3t  degrees…

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Q: True or False: Consider y 1 If I use logarithmic differentiation to find y, the formula for 1 in…

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Q: Given the vector u = (2√3, —2), find the magnitude and direction of u. Provide your answer below: U…

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

A: NOTE: Refresh your page if you can't see any equations. . M=mass of ice cube dMdt=rate of change in…

Q: 6) logg√3 7) log₁6 8) log4 8

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Q: 8. √(T-2) 0 - x) сos лx dx

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Q: 1. (y-x+xy cotx) dx + xdy = 0

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Calculate the iterated integral. 13 3 2 LI (6x2y – 5x) dy dx /1

A: To evaluate the given double integral

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Q: For the equation given below, evaluate y' at the point (2, –1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: To find derivative of the given function.

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. =…

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Q: Find the limit. 5) lim 4 x-2+ x² - 4

A: To find:- limx→2+4x2-4

Q: Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) =x^2 The area (rounded to two decimal…

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Q: ate the integral. Prox f(x) dx where f(x) = 2 if -2 ≤ x ≤ 0 {²₁ - x² 14-x² if 0<x≤2

A: Given is to find the integral

Q: Find all the antiderivatives of the function f(x) = -6.

A: ∫xndx=xn+1n+1+cgiven  f(x)=-6

Q: Suppose you deposit $6000 at 6% interest compounded continuously. Find the average value of your…

A: Given: Deposit Amount = $6000 Interest rate = 6%

Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

A: We know, ∫xndx= xn+1/(n+1) +C, C is a constant and for any real number n. Let I=∫x³(x⁴-2)³²dx

Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: The number of welfare cases in a city of population p is expected to be W = 0.006p4/3.  If the…

A: W = 0.006p4/3.

Q: An airline finds that if it prices a cross-country ticket at $200, it will sell 400 tickets per day.…

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Q: In 1626, Peter Minuit purchased Manhattan Island from the Native Americans for $24 worth of trinkets…

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Q: Consider the following. [²x(x² - 1)³ dx Let u = x² - 1. Find du. du = dx Indicate how the limits of…

A: To evaluate the following integral.∫05xx2-13 dx

Q: Find the derivative. 8 1 sin x cot x 12) y =

A: