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Q: A rectangular playing field is to have an area of 400 sq. meters. Fencing is required to enclose the…

A: Concept: Area of the rectangle is  A=length×width Fencing of the rectangle means covering its…

Q: B √√2 3 and D(3cos 0, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

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Q: If P(A|B) = ½‚P(A|B') = 3, and P(B) = find P(A'). 10

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Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: This question can be solved by adding the values 0.21,0.19,0.10 and 0.07.  The detailed solution for…

Q: .24. Use the definition of derivative to show the derivative of f(x)=√x is f'(x) 3/1²* [Use the fact…

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Q: The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) =…

A: The speed of the hare is : H(t)=cos(t) The speed of the tortoise is : T(t)=12t

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

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Q: 3. Find the derivatives of the following in two ways: -by evaluating the integral and…

A: This is a problem related to integration of the function. Please follow the procedure given below.

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) [39] 163-

A: find the inverse of matrix= 30   04

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

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Q: The polynomial function A(t) = 0.0034031³ -0.03743t² +0.1029t+0.009 gives the approximate blood…

A: The polynomial function At=0.003403t3-0.03743t2+0.1029t+0.009 gives the approximate blood alcohol…

Q: The probability that a component is acceptable is 0.93. Ten components are picked at random. What is…

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Q: Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at =…

A: Lets take a graph for refrence to understand why we can't calculate limit every where  f(x) =11-x

Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

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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: need

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Q: Find point D where D is a point on AB where AD 1 CD. Then compute A = |AB||CD||

A: See the details solution in below

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

A: See this solution in below

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: Let lim f(x) = 4 and lim g(x) = 20. Use the limit rules to find the following limit. X-6 X→6 f(x)…

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

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: a) (b) (c) ê Sir COS -2s (²+4)² 8 (²+4)² 2s (s²+4)²

A: Topic:- application of integration and derivatives

Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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

Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: Find the domain of the function. (Enter your answer in interval notation.) h(x): = 4 x28x

A: domain of the function h(x)=1x2-8x4

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

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Q: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…

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Q: Q4) Find the result of the following: 1. (330i19)/(2-1) =? 2. 3. 4. Beta function, ß (5/2, 1) =?…

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Q: Find the limit. (If an answer does not exist, enter DNE.) X-8 lim X-8 x² - 64 STEP 1: Factor the…

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

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

Q: Consider the following. f(x) = (fog)(x) = X # (a) Find the function (fog)(x). I Find the domain of…

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Q: For the following integral: f3ae-2 dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration by parts method so…

Q: Complete the table to find the derivative of the function. Original Function Rewrite eBook y = 4…

A: Basic identities of differentiation are used.

Q: If f(x)=x²+ax+b and the slope of tangent at x= -1 is 4 and the curve passes the point (2,4) Find…

A: I have stated the used formula in the solution

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

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Q: Determine the flux of D = p² cos² þap + z sin ☀ a over the closed surface of the cyl- inder 0 ≤ z ≤…

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Q: 393. lim x → xl/x 0+

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Q: 3-184 Find the antiderivative F(x) for each function below. Test your solution by verifying that…

A: Here is the solution:

Q: 4. Consider the population model dP dr -0.3 (1-2) (0-1) P. dt 50 where P (t) is the population at…

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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: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: e monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it…

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Q: 1337 + (2) =?

A: We have to find the value of given complex number.

Q: .. Find the constants a and b, such that the function is continuous on the entire number li 2, x≤ -1…

A: Topic:- calculus

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

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Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: and the general solution of the following equations: f y'+(4/x)y=x* ---by linear method

A: Topic: application of integration and differential equations

Q: 5000 4000 3000 2000 1000 X 50 100 150 200 250 300 350 (b) What is the slope of the graph? 5000 (c)…

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Q: eff(x) da, where Evaluate S²1(²² f(x) dx = 0 f(x) = [8x¹, (3 sin(x), -π<x<0 0≤x≤R.

A: