.24. Use the definition of derivative to show the derivative of f(x)=√x is f'(x) 3/1²* [Use the fact that a³ — b³ = (a - b)(a² + ab + b²)]

Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23,…

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Q: Integrate: x² cos(2x) dx

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Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: Divide as indicated x + 5 5 + 5x +25 6

A: Topic = Algebra

Q: Find the following limit. 2 lim h→0 √2h+1 +1

A: Limit

Q: Book Problem 27 If ƒ(2) = 25, ƒ' is continuous, and f f'(x) dx = 13, then the value of f(9) is

A: Given, f(2)=25, ∫29f'(x)dx=12

Q: New Randomization Evaluate the function at the indicated values. (If an answer is undefined f(x) =…

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Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + yexy + (4xy + xexy +…

A: See this solution in below with details.

Q: Values of f(x) at selected values of x are shown in the table. X -2.75 -2.1 -2.01 -1.99 -1.9 -1.25…

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Q: 4. Perform the indicated operations. Use principal arguments throughout. (a) [22(x/3)].[32(x/2)] (b)…

A: (a) We have to evaluate 2∠π3.3∠π2

Q: 1. Determine (i) the order of each differential equation and (ii) whether they are linear or…

A: Given differential equations are  y4+y2+y=sint  y''+yy'=1

Q: Find the derivative. g(t) = 7/ square root t

A: We have to find the derivative of the function  gt=7t.

Q: b) x d2y dy 12²-4 dx+6² = 2/1/2 dx²

A:

Q: If you count from 1 to 100, how many 7's will you find along the way? Answer in numeric format only.

A: if you count from 1 to100,how many 7's will you find along the away?

Q: Find the area bounded by y = x³ and y = x² + 2x on x € [-1, 1]. Submit your answer in fractional…

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Q: 11. A = {a, e, i, o, u} 12. B = {2, 3, 5, 7, 11, 13, 17, 19, 23,... } 13. C = {1, 3, 5, 7, 9, 11,…

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Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: This is a problem related to probability. Please follow the procedure given below.

Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

Q: 6./07 - A room is 12 ft wide and 15 ft long. How many square meters (m²) is the floor in this room?…

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Q: 18. lim h→0 2 √4+h h - 1

A: Note: Since, the student has mentioned to solve only question no. 18, so we are solving accordingly…

Q: please find the area of a triangle,given the points A, B, and C Plot the points A= (0,2,6), B=…

A: Topic = Vector

Q: How many distinct permutations can be made from the letters of the word "miscellaneous" that start…

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Q: A random variable, z, has p.d.f. f (z) = e ², 0 =< Z < 1. Calculate the expected value of z. 1 O a.…

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Q: B- Use power series to evaluate the integral sin.x X -dx

A: We want to find integral of sinx/x using power series.

Q: 6. 7. ay=7x+1 1 y || 1 x

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Q: Use calculus ideas to find the required graphical values of the following functions: 23. Find the…

A: See this solution in below

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

A: We need to choose correct option.

Q: Convert in radians to degrees: 3 4

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: The random variables A and B have variances Let T= 5A-2B. The 0.3 and 0.4 respectively. variance of…

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Q: The function f is continuous where f(-5) = -1 and f(5) = 6, and g is a function defined by g(x) = 1…

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Q: Consider the following functions. f(x) = √√√√64 - x², g(x): = √x + 2

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Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

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Q: Find all values x = a where the function is discontinuous. For each point of discontinuity, give (a)…

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Q: d (19) dx [xy] dx

A: We have to find the integral.

Q: 1. 2. 3. The domain of f(x)=is ........ The distance between the line 3x + 4y = 2 and (1,1) is The…

A: 1. The given function fx=1x 2. The distance between the line 3x+4y=2 and the point 1,1 3. The given…

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: Question Find the area of the region that is bounded above by the curve f(x) = (x+3)² and the line…

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Q: (a) (b) Find composite functionsf(g(x)) and g(f(x)) for given f and g f(x) = 4x-2, g(x)=√x + 2 f(x)…

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Q: An electromotive force E(1) [120, [0, 0t 20 t> 20 is applied to an LR-series circuit in which the…

A: Let's solve current at time t by using diffrential equation.

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23, 0.2…

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Q: Wrong answer

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Q: 4 Find the roots of Z²+1=0 itt/2 Hint i = e 3

A: Given z4+1=0

Q: eliminate arbitrary constants x³y² - 16x² ys 3. t 2/8 t ه علیدگی + 30 c = 0 = 25

A:

Q: please find the area of a triangle,given the points A, B, and C Plot the points A= (0,2,6), B=…

A: The Solution is give below-

Q: Consider the series 6+4 6n³-6n+8 n= We will try to use the ratio test to determine whether this…

A: To use ratio test to determine whether the given series converges or diverges

Q: Find the equation of tangent for curve y = x3 - 2x + at x=-1 5x - 3y + 11 = 0 3x - 5y + 11 = 0 5x -…

A: This is a problem related to tangent line equation. Please follow the procedure given below.