T 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

Q: Use the alternate form of the derivative to find the derivative at x=c, if it exists. f(x) = x³ +…

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Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx = √√√9x² +9 y =

A: Let's solve integration by using trigonometric substitution.

Q: Suppose F(x) = f(x² + 1). Find F'(1) if f'(2) = 9.

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) =

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Q: Let j=8 k=3 let A (0, 7-k), B(6, -k+5). Find all points P on the line y = 9-k such that AP I BP.

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Q: Please find the gradient of f(x, y) = ln(x² + xy²) at (2, 1)

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Q: # √² + y = 2 Y = 10 + 3X

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Q: Use any method to determine whether the series converges or diverges. (k!) 8 (8k)! k=0 O The series…

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Q: Psychologist L. L. Thurstone suggested the following relationship between learning time T and the…

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Q: 3 B 3! - What is the second derivative of the function f(x) = xex ?

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Q: 33. " +9y sin 2x; y(0) = 1, y' (0) = 0 34. y" + y = cos x; y (0) = 1, y'(0) = -1 35. y" - 2y + 2y =…

A: Given: y(3)-2y''+y'=1+xexAuxilliary equation: m3-2m2+m=0Therefore, m=0,1,1Complimentary…

Q: Find the vertical shift of the sinusoidal function. fx -3πT -2T Simplify any fractions. T 6 5 ★ تلا…

A: Concept: The sine function's general form: y=Asin(Bx+C)+D The vertical shift: This is the vertical…

Q: find distance between point A(2,-4) perpendicular on the line L: 3x- 4y=17 6.5 O 7.22 O 4.79 O 6.22…

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Q: Consider the function below. ex f(x): 8 + ex (a) Find the vertical asymptote(s). (Enter your answers…

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Q: If y = ecos(x) then y" + sin(x) y' cos(x)= ***

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Q: A person standing close to the edge on top of a 96-foot building throws a ball vertically upward.…

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Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

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Q: Give the interval of definition for the solution to the initial-value problem 1 (t-1)y"+…

A: answer is in next step.

Q: Consider the following polynomial function. f(x) = (x+2)²(x-1) Answer the questions regarding the…

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Q: Ho Find (dy/dx) for: tanh-¹(x y) + e(x+y) 5 cos(y)

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Q: Using Gauss Jordon elimination, determine the intersection, if any of the following sets of planes…

A: We have to use Gauss Jordan elimination

Q: 3. Evaluate f sin(3x - 1) dx

A: we want to determine the integral  ∫ sin(3x-1) dx

Q: Describe the difference between a discontinuity that is removable and a discontinuity that is…

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Q: 8. Find the length of the curve r(t) = from t = 1 tot = 5. 9. Find the curvature of the curve r(t)…

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A: The given points A(-1,3,7) and B(2,-1,6).

Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

Q: 1. For the function f(x)= x³ +5x²+2x-8, explain how you determine which integral values of x you…

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Q: Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

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Q: Graph r(x) = 2x² 12x + 16 on the Cartesian plane to the right. To graph the function you'll first…

A: To find: The interval where increasing and decreasing also find maxima, minima, domain and range.…

Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: Given an acute angle Cosx=2/7, find the exact value of cos(x/2). (Use a half-angle formula)

A: As we know from the half angle formula; cosx2=±1+cosx2   Given; cosx=27

Q: Y=t-2√√x + X

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Q: Find the area of the region between f(x) = x² + 2 and g(x)= x - 1 on the interval [-2,2]

A: The functions are f(x)=x2+2  &  g(x)=x-1

Q: Television Viewership The number of viewers of a television series introduced several years ago is…

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Q: . Solve for and simplify the result. dy dr y = (3x-2)5 (2²+5)6

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Q: the function. 4) ((x) = fx+3, for x>0 [x², for x ≤0

A: Given above function is x+3, for x>0x2, x≤0

Q: Evaluate the following integral by using Odd and Even Powers Method: y = [₁ cos5 (1x) dx

A: We will evaluate the given integral by using odd and even power method in the following step.

Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: The graph of a function f is shown. Use the graph to find f¹(-1). BE"F Cloudy OLO D O 99. OU Time…

A: To find out f-1(-1).

Q: Q5) Evaluate the following integral by using Partial Fractions Method = y = S₁ 2x²-3x+2 - (x − 1)².…

A: Use partial fraction to calculate the integral.

Q: Within y = 4x², x = 0, y = 16; about y axis

A: We know that the curve x=f(y) ,the Y axis and the line y=a and y=b is revolved about the Y axis…

Q: A baker sells cupcakes and bases her prices on the number of cupcakes purchased. 72Total Cost 66 60…

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Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

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Q: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

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Q: (x² - 4) dx x² + 2x² + 2x S

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Q: company determines that its weekly online sales, S(t), in dollars, t weeks after online sales began…

A: We have to find out the weekly average sales amount

Q: 24) Find dy /dx for the following functions : a) y². cotx= [sin(x,y)]-¹ b) y = (lnx + x) tan x

A: Given: a)y2·cotx=sinxy-1b)y=lnx+xtanx

Q: Determine whether the function defined is one-to-one. f(x)=√/32-x² -X www Is the function…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: In this exercise, we estimate the rate at which the total personal income is rising in a town in…

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Q: Find the cumulative density function for the given probability density function. k(x) = 0.8 -0.8x,…

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