Q5) Consider the Table below. y, = f(x,) 0.5 25.5 1 1.2 8.75 2.5 12.5 3 3.2 5.25 Find cubic Newton polynomial that interpolates the data giy

Q: 2. The amount of heat H (in joules) required to convert one gram of water into vapor is linearly…

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Q: 5. Which of the statements is Not a function.

A: A relation is the ordered pair of input and output values. A graph or a mapping diagram can be used…

Q: nctions and the y-axis. (Draw the functions and shade the area to be determined.)

A: We know that the equation of the x-axis is y=0 and the equation of the y-axis is x=0. We have to…

Q: 3 3 2 Find the area bounded by the curve y=x²-x² + 3x and the line y=x. 16 4 10 square units 8…

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Q: 8.27) A saientist the numbber grows to the equation baderia ace NE)- Ae O· 1st where t ö measured i…

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Q: 2.54. If A and B are mutually exclusive, P (A) = 0.37, and P(B) = 0.44, find (a) P(A'); (b) P (B');…

A: Given that A and B are mutually exclusive events then P(A or B)=P(A)+P(B) P(A)=0.37 and P(B)=0.44…

Q: 1. (2 pts 1.3) Determine whether or not the equation x² - y² x. = 4 represents y as a function of

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Q: Let f(x)= 4x-1, h(x)= -x+4. Find (fo h)(-2). (foh)(-2) =

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Q: 2. S (3x- 12) x'dx (3х I dx 2.

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Q: Find the distance (d) between the planes -4x + z = -21 and - 4x + z = 34. Please show your answers…

A: given two planes

Q: 2. Match the functions with its graph. y = Vx – 3 b. y = 3 vã c. y = v – 3 d. y = v-x+ 3

A: Part a,Given,         The function is y=x-3.

Q: 2) A heavyweight located in the very center of a small town industrial factory emits harmful gases…

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Q: c) The charging xaltage.in a charging capacitor V(t) at time t seconds is given by: V(t) = V,(1 –…

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Q: 5. This box has a length x and a width that is 4 times its length. The volume is 500 cm. Find a…

A: Given length is xWidth is 4 times length = 4*xVolume is 500 cm3We know that volume of a cuboid is…

Q: 口[ A 9. Fill in the table of values. f(x) > V+2 2 f(x) = Vx+2 -3 -2 -1 6. a. 1 b.-2 С. -1 d. 2 e. 3…

A: A

Q: Determine the NATURAL cubic spline S(x) that interpolates the data f (1) = 1, f (2) = 1, and f (3) =…

A: The given data  is x0=1 , x1=2 , x2=3 and fx0=1 , fx1=1 , fx2=0. The spline polynomial will consist…

Q: Given that f(-9.1) = 3.7 and f(-8.8) = 7, approximate f'(-9.1). %3D f'(-9.1) -

A: Use : f(x+∆x) = f(x) + f'(x)∆x

Q: 3. Find the value of x to three decimal places when: a. 2x = 7 b. 2x+3 = 6x-1 c. 22w + 2(2)w - 15 =…

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Q: 1. The electric resistance R of a wire varies directly as its length Land inversely as its…

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Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G => ∇ x (F - G) = 0

Q: The function f graphed here consists of two straight line segments and two quarter circles. Find…

A: Consider the equation

Q: 7. If a side of an equilateral triangle has length x , express the area A of the triangle as a funct…

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Q: 3. Sketch these functions and find their domain and range. a) f(x) = √√3x b) y = x³

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Q: Use the Linear Approximation to estimate Aƒ for f(x) = 3112 when a = 2 and Ax = -1/. 3+x² (Use…

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Q: 2) Suppose a tennis ball is thrown upward from a tennis court that is 30 feet above ground (the…

A: Given position function:- st=-16t2+48t+30 We know Average rate of change of function fx in interval…

Q: 1. You are driving away from home. At noon, you are 217 miles away. Your velocity (miles per hour)…

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Q: Determine the NATURAL cubic spline S(x) that interpolates the data f(1) = 1, ƒ(2) = 1, and f(3) = 0.

A: