11. Cards are drawn from a deck of 52 cards with replace- ment. (a) In how many ways can ten cards be drawn so that the tenth card is not a repetition? (b) In how many ways can ten cards be drawn so that the tenth card is a repetition?

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A: Concept: The slope of the tangent line of the function is  m=f'(x) The slope of the secant lie…

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Q: 40. lim 3 cot(2x) sin-¹ x x→ 0+

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Q: Find the arc length of f(x)=ln|x| over [1,3]. Round answer to two decimal places

A: We will find the required arc length.

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A: Topic - Functions and application of derivatives We are given, p(t)=0.32e0.16t million dollarsp(t)…

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A: The given initial value problem, y'+9y=e-9t, y0=1 We have to solve this problem using Laplace…

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.

Q: what is an improper integral?

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Q: 3) Use the definition of the derivative (which involves limits) to calculate f'(2) given that f(x) =…

A: The function is given by fx = x-22+5 To evaluate: The value of f'2. Formula Used: The value of  f'a…

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A: P(x)=4x⁵-5x³+2x End behavior is determined by the degree of the polynomial and the leading…

Q: Find the relative error when using the trapezoidal rule to calculate ¹(x³ + 3x²) dx using 3…

A: Topic = Functions

Q: 41. lim [2ln(x-3) - In(3x² + 5)] X-80

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Q: Evaluate the expression. If the answer is not an​ integer, round to four decimal places.   25 C3/53…

A: Given question:- Evaluate the expression. If the answer is not an​ integer, round to four decimal…

Q: Graph f(x)=3* and g(x) = log 3x in the same rectangular coordinate system.

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Q: Please show your answers to at least 4 decimal places. Suppose that ƒ(x, y) = x³y². The directional…

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Q: Consider the function f(x): = You may use the facts that f'(x) = needed. x² x² + 4 a. Find the…

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A: Given, f(x)=a(x+b)(x+c)(x+b)(x+d)

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Q: + 5 + + + + + + + + 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 data Based on the boxplot above,…

A: The five-number summary is the minimum, first quartile, median, third quartile, and maximum

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Q: Evaluate the expression without using a calculator. In e 6 In e 6 =

A: Here we have to find out the value of  ln (e)^6

Q: Question Use the trapezoidal rule to calculate the absolute error of (5x³ + 5x) dx using 3…

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Q: Find the first and second derivatives of the given function. f(x) = -0.7x² + 0.9x + 3 f'(x) || f"(x)…

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Q: Differentiate the function. g(x) = = 1 (3x³ + 5x + 8)3/4

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Q: (a) Find the differential dy. y = √3+x² dy= X 2 √3+x² dy = -dx (b) Evaluate dy for the given values…

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Q: How do I find the absolute extrema of g(x)=(3x2)/(x-6) in close interval of [-3,2]

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Q: If w=-4x² + 8y², x = -s+ 6t, and y = 3s + 2t, find Ət Provide your answer below: дw = Ət in terms of…

A: Given query is to find indicated derivative.

Q: Question Evaluate the integral. So 70 Give an exact answer. If the integral is divergent, enter Ø.…

A: We will find the required integral.

Q: 4. Suppose that the following equation defines y as a differentiable function of x: 2√y + y = 2x.…

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Q: One banana and two mangoes cost K1.30. Five bananas and four mangoes cost K3.50. Find in toea the…

A: See this solution in below.

Q: -6t Find the equation of the tangent line to y = e at t = 0. Y

A: Given Data : We have given a function y=e-6t .   Required : We have to find equation of tangent line…

Q: 0 Exercise 7 Limits The following graph of the function f satisfies limf(x) = 2 . For & = 3 find a…

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Q: y" + y = 2, y(0) = 4, y' (0) = 3 (A) y = 2 sint + 3 cos

A: given y'' + y = 2 D2y + y = 2(D2 + 1 ) = 2 for complementary solution D2 + 1 =0D = ±iD = 0…

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Q: Exercise 5 Determine a value of 8>0, that satisfies statement: If 0 < x - 3|<8, then f (x) +1|<1. YA…

A: We determine the equation representing f(x) and proceed further. Equation of line passing through…

Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: rdan elimination. 2x + y = 12 2x-y+z=-5 (3x - 2y + 4z = -14

A: Given system is of the form Ax=b.

Q: Determine whether the sequence is convergent or divergent. If it is convergent, find its limit. (a)…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = -4 x…

A: Here vertical asymptotes at x = -2 and x = -4 we have denominator (x+2) and (x+4) as co-factor .…

Q: Evaluate the integral in terms of the constant: S₁x5 dx =

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Q: an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.5%…

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Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = 6 - 5x - 4y c = 6, P(0, 0)…

A: Find the normal vector to the level curve f(x, y) = c at P. given f(x, y) = 6-5x-4y and C = 6, P(0,…

Q: Find the indicated derivative. 1 - 2x² x4 - 2x² + 6 dy dx || dy dx for y =

A: I am attaching image so that you understand each and every step.

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Q: Calculate the derivative à S² √7 + x² dx =

A: NOTE: Refresh your page if you can't see any equations. . break this integration at t=0

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Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped…

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Q: Find the derivative of the function. 9 5-2 +8√x x5 h'(x) = h(x) =

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Q: A bacterial culture grows with a constant relative growth rate. After 2 hours there are 400…

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