Find the length of the arc in rectangular coordinates. You may need to calculate the value numerically y = 1+6x3/2( x raised to the power 3/2 [ 0,1] , y = (1-e-x) e raised to the power negative x on the interval. [0, 2] , y = x sin x [0 , 2pi ]

Q: If y arcsin(4x4), dy da ||

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Q: 1 Suppose y = tan ¹æ. Then x = y tan Otan y Oarctan y

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Q: 18. The velocity, in ft/sec of a particle is given by v(t) = -16t+2. Find the position function s(t)…

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Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

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Q: If an investment decreases 1% the first year, 6% the second year and 9% the third year, what is the…

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Q: Question Find the area bounded by y + y³ = x and y = . Submit your answer in fractional form.…

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Q: 4. Find all functions that solve the differential equations. (a) x' = te-2t (b) x' = 1/(tlnt). (c)…

A: To find the functions that solve all the differential equations

Q: Solve for x, y, z, and win the matrix equation (X, Y, Z, W) wx 2 {]+=[xx]-

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Q: Write ftan¹¹ 11x dx in terms of ftan" a da 4

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Q: Find a parametric representation of the solution set of the linear equation. (Enter your answer as a…

A: Topic- Linear equation in two variables

Q: 5. A point on the graph of y = f(x) is (3, 5). The corresponding point on the graph of y = f(3x) is:

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Q: 3300t The system of the population of a culture of tumor cells is given by p(t) = t+1 Select the…

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Q: ६(६+६) : (11-2+21) 2 (5+276 : (7 (622) 7) *b - (b) 4 (+) दहिका xb SEX K xb

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Q: 3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 t+25…

A: Need to answer the following parts for the given sales function with respect to the number of days.

Q: Consider the matrix equation Ax-0 for the following. + --•-8 A- -1 Find the reduced row-echelon…

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Q: Question Consider the region, R, bounded on the left by the line g(x) = x, on the right by the…

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Q: Help? Watch t

A: We will find the required.

Q: Let Fib(n) be the nth term of the Fibonacci sequence with Fib(2)= 1, Fib(3) =1, Fib (4)=3 and so on,…

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Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

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Q: у=х+5 6х

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Q: Solve the given initial value problem. O x¹y² + xy³ = -18 O x¹y² - xy³ = 36 x³y² + x³ = -18 O x¹y² +…

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Q: 9. Let f(x) = 4x² - 2x, 2 √3x- x - 6, 2, Find a) f(-1) b) f(3) c) f (8) d) f(1) e) f (6) x ≤ 1 1<x<…

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Q: Find each of the following for f(x) = 4x² - 7x+ 5. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

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Q: OE OF OA OB Ос OD The only horizontal asymptote of f(x) = A)y=0 E) y = In (3) B) y = 1 F) None In…

A: To determine the only horizontal asymptote of fx=lnxx.

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: Suppose f(1) = Let h(x)= arcsin(f(x)). h'(-1) = and f'(1) - 2.

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Q: 3. Let 1 ƒ(x)=_=_=__and g(x)== x-4 Find f(g(x)) and find its domain.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Solve the differential equation. y' + y tan x = cos X, -π/2<x<π/2 A y = x cos x + c cos X, - B) y=x…

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Q: If y = arcsin (e-32), dy dx ||

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Q: Find an equation of the tangent line to the graph of the function 2 x 4 2x+4 at the point (4, O Oy=…

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Q: 20. What is the probability of an actually event? a. 0 O b. Insufficient data O C. 1 O d. Not…

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Q: lim x→0 (sin3x sin5x/x2) *without use of deritivatives or l'hospital's rule*

A: See the details solution in below

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: The diagram has been redrawn to indicate the required point.

Q: lete the table below. 5.9 x→b 5.99 5.999 6.001 6.01 6.1

A: Topic:- application of calculus

Q: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: Calculate the angle between the normals to the surfaces x²y + z = 3_ and x log z − y² = −4 at the…

A: Angle between two normal vectors a and b is  θ=cos-1±a·b

Q: Suppose f(x) and f'(x) have the following values. I 5 6 7 8 9 f(x) 14 18 8 6 11 f'(x) -3 7 -10 -9 2

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Q: Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.…

A: Please check the given options because the answer to the given question is not among the given…

Q: t10 x csc x dx 6 cot 10

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Q: 6 5+ 4+ 3+ 2+ 1 0 1 2 + 3 R 4 5 6 y=x-4 ·x=y²+2

A: Given, Area of R is 103

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

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Q: If the coordinates of any two points ₁ and ₂ are (x₁, y₁) and (x2, ₂), respectively, then prove that…

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Q: 11. Find the domain of √√x-4 x² - 6x f(x)=

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Q: Show that the equation represents a circle by rewriting it in standard form. x2 + y2 − 8x + 10y +…

A: Given: x2 + y2 − 8x + 10y + 25 = 0

Q: Consider the following function. f(x) = 2x² Find the limit. lim f (x + Ar) - f (x)

A: The given function fx=2x2-6x we have to find the limit lim∆x→0fx+∆x-fx∆x

Q: Find the domain of the function. (Enter your answer using interval notation.)

A: Topic:- function          Definition:-   the domain of a function is the set of input values for f,…

Q: variable, x, is x:2, 0.36, 0.21, 0.19, 0.10, 0.07 Calculate P(x >= 3.0) a. 0.47 O O b. 0.83 019…

A: Topic:- probability