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A: Topic:- permutation and combinations
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A: Given 1. Purchase price of tractor =$12,000 2. Depreciates to $0 in 20 years
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A: The Solution is give below-
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A: See the details solution in below
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A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx
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A: We will find the required.
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A: The given function is fz=ln1+z.We need to write it in the form u+iv.
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A: Function
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A: The diagram has been redrawn to indicate the required point.
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A: see below the answer and explanation
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Q: he probability distribution for the rando ariable, x, is x:2, 2.5,3.0,3.5,4.0,4.5 and (x):0.07,…
A: Topic:- application of probability
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: Question Find the area of the region pictured below that is bounded by the functions u(y): the area…
A: The region is bounded by the curves u(y)=y-3 and v(y)=y2-2y-13 on the interval -2≤y≤5 use the…
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Q: The radian measure of an angle of - 218 degrees is
A: For the given problem We can change degree into radian
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: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…
A: The objective of the question is defining matrices. Note - As per our guidelines we are supposed to…
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A: Let's solve given differential equation.
Q: 3-184 Find the antiderivative F(x) for each function below. Test your solution by verifying that…
A: Here is the solution:
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Q: (a) Prove, by mathematical induction, that for every positive integer n, 2²² =2²(n+1)²,
A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…
Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…
A: Given:- y1=x-33 , y2=x-3
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A: This is a problem related to probability distribution function. Please follow the procedure given…
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Q: Calculus 9) The plot below shows a function g(t), which is the derivative of another function f(t).…
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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.
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A: We need to find area.
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A: Given, Area of R is 103
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: Find the greatest integer less than or equal to log29 S² log2 (x³ + 1) dx + (2x - 1)³ dx.
A: At first, we have to evaluate: I=∫12log2x3+1dx + ∫1log29(2x-1)13dx
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Q: Find f+g, f-g, fg, and f/g and their domains. f(x) = √36x², g(x) = √x + 1 Find (f + g)(x). Find the…
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Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…
A: The given function is: f(x)=16-x2 , g(x)=x+3
Q: 4.Find all complex numbers of the form z=a+bi, where a and b are real numbers such that zz = 25 and…
A: To find out all the complex numbers for the given condition.
Q: 1. Let F(x)=√1+t² dt. Find F'(1).
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Q: V₁= 2³²-37²³² +27= 0 + 1 (1-1)(1-2) = 0. 1₁=0, A2=1, d3 = 2 X 2X X Y₁(x) = C₁ + c₂e² +₂²² +₁=1, 4₂-e…
A: The objective of the question is simplying the given integral.
Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…
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Q: The functions f and g are determined by f (x) = 2x-4 and g (x) = 1 / 2x + 3. The area of origin…
A: Given: f(x) = 2x-4 g(x) = 1/(2x+3) the area of origin f is Df:{x| 2<x>6}…
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: 1. Find the limit if exists or show that the limit does not exist 3x²y² (a) lim (2,3)+(0,0) 24+4 (b)…
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- Compute the limit as x approaches infinity of x^e-xCompute the limit (x,y)→(0,0) of 8xy / 2x^2+ 4y^2 along the following paths. (a) Along the y-axis. (b) Along the line y=3x. (c) What can you conclude about the limit?Let f(x, y) = xy /(x 2 + y2). Show that f(x, y) approaches zero along the x- and y-axes. Then prove that lim f(x, y) does not exist by (x,y) (0,0)showing that the limit along the line y =xis nonzero.
- 5. Consider the function f(x) = |x| + 2 at x = 0. Provide a table of inputs and outputs that demonstrate the limitdefinition of the derivative, numerically4. Find the limit, if it exists, or show that the limit does not exist: lim(x,y)→(1,−1) 3^−xy cos(x + y)evaluate the limit of xsin(1/x) as x approaches zero using the squeeze theorem.