1 a) f(x) = +2 x + 3 - b) f(x) = 2x+2²_3

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: Book Problem 15 Find the average value of the function f(x) = -3x³ on the closed interval [-1,3].…

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Q: Hi, I realized I asked this question previously but I got a different answer (0, 18 Pi). Which…

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Q: 17. Determine the equation f(x) = cosx as a sin function.

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Q: Can you go into more detail? Why is the answer (4n+1)pi/2?

A: We want to find domain of the function.

Q: Given the following augmented matrix which represents a linear system, solve the linear system using…

A: The given equations are; x1+x2+4x3+4x4-8z=21 2x1+3x2+8x3+8x4-14z=46 x1+5x3+4x4-12z=18…

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

A: We need to find area.

Q: Find the domain of y= 6x-1 √25-x²

A: Domain of y=  6x-125-x2

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: 5. lim -00 2-1 5

A: limx→-∞x2-x45

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: sin 3x x-0 tan 4x 3. lim

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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 f(x) = 4x² - 2 to find the following value. f(t+1) f(t+1)=

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Q: B. Evaluate the limits of the following: 1. lim x-2 lx-2 6 x²+2x-8

A: Concept: Limits: The values that a function approaches for the specified input values are known as…

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: Q6: Find the outward flux of the vector field F=(x²y+e'sin(y))i+ (x²+ e*cos(y))j through the right…

A: Solution

Q: Electricity rates. The table to the right shows the electricity rates charged by Better Than…

A: The table shows electricity rates charged by better than lightning in the winter months. Winter…

Q: DIGITSL FORMAT wing double integrals and draw th xdy

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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: Find the domain of the function. (Enter your answer using interval notation.) 3x³-1 x² + 3x - 18…

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Q: Step 4 now find the time when v=0 v=0 t² -€/ - 2 t (10-²) 10t - 10 here t=0 is the starting point so…

A: Solve the following

Q: Consider the function Evaluate the definite integral f₁ f(x) dx = Evaluate the average value of f on…

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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: Question Find the area bounded by f(x) = x³ + 3x and g(x) = 4x on x € [−1, 1]. Submit your answer in…

A: The area between the curve is given by ∬dydx.see below the answer and calculation

Q: Question Find the area, in square units, of the region bounded on the left by the line g(x) = 2x +…

A: The objective of the question is determine the area bounded by the given function.

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = √√/1+x f(x) = 1 + x…

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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: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: See this solution in below.

Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Answer the following questions…

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Q: Consider the following graph. YA Determine whether the curve is the graph of a function of x. Yes,…

A: Graph of a curve is given, we have to find its domain and range

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: 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: Determine where the function F(x)= 4x 2 x +49 is continuous. The function is continuous on (Simplify…

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Q: A/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² + 2y)y…

A: Topic:- application of differential equations

Q: Find the trace of the matrix. The trace of an nxn matrix A is the sum of the main diagonal entries.…

A: The given matrix is A= 1 0 5 1        0 1 -1 5       2 5 1 0      0 0 4 1.

Q: Solve the given differential equation. All solutions should be found. 3x² - 3y - y³ 3x + 3xy² dy dx…

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Q: 15. Solve the following system of equations using the matrix method. Show your work. Express your…

A: We have to solve the given system of equations.

Q: 3. Consider the initial value problem (IVP): ty' — y = t²e-t, y(1) = −1. (a) Use integrating factor…

A: We will use integrating factor method to solve this.

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: 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: Let f(x) = x²²-2x-24 x-6 Find a) lim f(x), b) lim f(x), and c) lim f(x). X-6 X-0 X→-4 a) Select the…

A: The objective of the question is determine the limit of the given function and choose the correct…

Q: 3) Find the particular solution of the DE y" = 12x² if y(0) = 1 and y'(0) = 2.

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

Q: 2x²12-59 P₁ = (x, y) 2 y = 4x P₂=(x, y)

A: See the details solution in below

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: 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: 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: 3. Find all values of m so that the function y = tm is a solution of the equation 3t²y" +11ty' − 3y…

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Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: 1 - n(n+1) Show that the series Σ is convergent, and find its sum.

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