a. Construct a rational function whose only asymptotes are y = 4 and x = 1, and whose x intercept is f(x) = 4x1 x-1 help (formulas) (0) and y intercept is (0, 1).

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A: Given Fx=fffx f1=5, f5=6, f'1=3, f'5=4 and f'6=5

Q: 4) Find the following by using the substitution z = tan D S 5 dt sint - cost cos e de ii) sin cos 0…

A: Note : As per our Guidelines , we can solve first one as your all parts are not too small . Please…

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A: This question can be solved using the concept of derivative using quotient rule and derivative of…

Q: Evaluate lim (z,y) → (0,0) 1 - cos(xy) x²y²( −3+ y)

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Q: 3.1 Average vs Instantaneous Rate of Change (#limitscontinuity, #differentiation) Consider the…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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A: The given equation has two arbitrary constants so it has to be differentiated twice for elimination…

Q: 3. The equation y² = cx is general solution of: A. y' = 2y / x B. y' = 2x/y C. y'=y/2x D. y' = x/2y…

A:

Q: Find the general equation of (x-2)² + (y-3)² = 49 • show solution if possible

A: We can find the answer as below.

Q: For the function f whose graph is given, determine the following limits. a. lim f(x) x-4 d. lim f(x)…

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Q: Find the set A UB. U= {1, 2, 3, 4, 5, 6, 7, 8, 9) A = {1, 2, 3, 5} B = {4, 1, 6} Select the correct…

A: To find the set A U B.

Q: f(x) => Find a possible formula for the trigonometric function graphed below. Use x as the…

A: A graph of the trigonometric function is given, we have to find its equation. use the formula:

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A:

Q: Consider the following. sin(6x) X lim X-0 Create a table of values for the function. (Round your…

A: We need to find limit.

Q: 2 /m ¹/² n² 2m¹/4 4 4m-²n-41/2 4m¯²n¯ m²

A: Answer and explanation is given below...

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Q: 3 + log2 What is the sum of the x valu logr 2 + logs + log4 лоди

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

Q: (a) Determine the reactions at A and Elf P = 720 N. The reactions are positive if to the right or…

A:

Q: Find the derivative of the function. y = In(xVx² - 5) y' =

A: Given function:- y=lnxx2-5

Q: Question: 4. (D4 -2D3 + D2)y = Answer: 4. y = C₁ + C₂x + (C3 + C4x) ex

A:

Q: 7. (01.08 MC) Let f be defined as f(x) = fis continuous at x = -3. x² - 4x+3 Which of the following…

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Q: 3. The equation y² = cx is general solution of: A. y' = 2y / x B. y' = 2x/y C. y' = y/2x D. y' =…

A:

Q: 1. Find f[f(x)] given f(x) =x2-x+4 2. If f(x) = 2x2/x4+16, show that f(-x)=f(x)

A: Topic = Functions In question No. 3 , function h(x) is not written correctly. So, it can not be…

Q: rev Q3/A- Find the angle between the planes with equations x + y -z = 8 and 2x - y + 3z = -1 B- Find…

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Q: 1. (b) Find the exact numerical value of each expression cosh(-In 2)

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Q: = Given the Vertices v1 = (3, 1), v2 = (1, 4), v3 (6, 5). Calculate the normal vectors n1 of vertex…

A: Concept: Normal vector: A normal vector is a vector that forms a 90° angle with another surface,…

Q: Find the interval of convergence of the power series 12 en (x - 2)".

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Q: Prov that d dx 2cos2x = -2sin 2x

A: Solution is given below:

Q: How do I solve? find the domain of the function algebraically 1.y=log(x-6)

A:

Q: IF YOU BORROW MONEY FROM YOUR FRIEND WITH SIMPLE INTEREST OF 12%, FIND THE PRESENT WORTH OF P50,000,…

A: Here we have to find the principal.

Q: A-Solve the following ( 1) 3- Page 1 of 2 2) 15x-71 ≥ 10 17x+10] 27

A: Given that some problem and we solve these problems by using general property.   Here i attached the…

Q: Calculate [6x√ 6x√x + 3 dx

A:

Q: Find all constant solutions, then solve explicitly: dz/dθ −(z^2)(θ^3)e^(θ^2)= 7(z^2)

A: This question can be solved using the concept of solution of differential eqution using variable…

Q: What does g(5 t + 5) do to the function g(t)? O compress horizontally by a factor of 1/5 and then…

A:

Q: B- Graph the following: ( 1) y = -sin (x-1) +3 Q2) A- Find the derivative of the following: ( 1) y =…

A: We have to find part B and question 2) part A (1 to 4).

Q: Suppose that f(2)= -4, g(2) = 5, f'(2) = -2, and g'(2) = 1. Find h'(2). (a) h(x) = 2f(x) - 4g(x)…

A: Use derivative rules

Q: 1. Find f[f(x)] given f(x) =x2-x+4 2. If f(x) = 2x2 / x4+16, show that f(-x)=f(x) 3. if r(x) = √x,…

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Q: Sin (x+y) house buy and at - dx up no Please

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: -2 (d) f(x) = (x²-x-²)-²

A:

Q: Find the sum: 6. Check that Σ1-0 (1) (35;) = (¹7) =0

A: Given that, ∑i=047i53-i = 7053 + 7152+7251+7350+745-1                           = 1 . 5!3! 2! + 7 .…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Slope, m = dy/dx

Q: Find and simplify the expression if f(x)=x²-11. f(3+h)-f(3)

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Q: standard form of the equation of the circle below. (x - h)² + (y - k)² = r² coordinates of the…

A: Given :2x2+2y2-16x+6y-32=0

Q: Find the derivative f'(x) f(x) of the function. 5x − 7

A: Given, f(x)=5x-7x

Q: Find the exact arc length of the curve over the interval. y = 3x³/2 from x = 0 to x = 1.

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Q: The table shown gives selected values of x for the function h. 5 6 6.001 6.01 6.1 7 h(x) -7010 -7001…

A: We can solve this as follows:

Q: 5. Solve the initial value problem and find the interval of existence. dy 1 dt 2y + 1' y (0) = 1. 6.…

A: I have to solve differential equations in this question.

Q: 3. (a) Let g(x) = |x + 2| x + 2 and find g(-2) or explain why it does not exist (DNE) (b) Write g as…

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Q: √x-10 lim x-100 x-100

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Q: (2√5x - 1)²

A: Expand the given equation

Q: Is it possible to use the fundamental theorem of calc to find the area between the graph of f(x) = |…

A: calc to find the area between the graph of f(x) = | x | -1/2 and the x axis, for all x between -1…